http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Myoung65Physics Book - User contributions [en]2026-04-29T23:39:30ZUser contributionsMediaWiki 1.42.7http://www.physicsbook.gatech.edu/index.php?title=Kinetic_Energy&diff=20824Kinetic Energy2016-04-10T21:22:53Z<p>Myoung65: /* Kinetic Energy */</p>
<hr />
<div>Claimed by myoung65<br />
== Kinetic Energy==<br />
Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]]. Kinetic energy is also known as the work needed to accelerate a mass from rest to a final velocity. Once the object reaches this speed, the kinetic energy remains constant unless the speed is changed. <br />
<br />
===A Mathematical Model===<br />
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv²</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.<br />
<br />
===A Computational Model===<br />
By [[Conservation of Energy]], energy can be converted but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without loss. This is an excellent visualization of energy that can be demonstrated with vpython. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778<br />
<br />
==Examples==<br />
===Simple===<br />
A ball is rolling along a frictionless surface at a constant <math>19 m/s</math>. The ball has mass <math>12 kg</math>. What is the kinetic energy of the ball in Joules?<br> <br />
<br>Solution:<br><br />
#Because the ball's velocity is far less than the speed of light, we can use the simplified kinetic energy formula.<br> <br />
#<math>KE=\frac{1}{2}mv²</math><br> <br />
#<math>KE=\frac{1}{2}(12 kg)*(19 m/s)²</math><br> <br />
#Hence, KE = <math>2166 J</math> or <math>2.166 kJ</math><br><br />
===Middling===<br />
An electron is moving through space at a constant <math>2.9X10^8 m/s</math>. The electron has mass <math>9.1X10^-31 kg</math>. What is the kinetic energy of the ball in Joules?<br><br />
<br>Solution:<br><br />
#Because the electron's velocity is close to the speed of light, we must use the relativistic kinetic energy formula.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>KE=(9.1X10^-31 kg)(3X10^8 m/s)²(\frac{1}{\sqrt{1-\frac{(2.9X10^8 m/s)²}{(3X10^8 m/s)²}}} -1)</math><br><br />
#Hence, KE = <math>2.38X10^-13 J</math> or <math>2.38X10^-16 kJ</math><br><br />
===Difficult===<br />
An proton is moving through space at constant velocity. It is found to have kinetic energy <math>2.38X10^-15 J</math>. The proton has mass <math>1.67X10^-27 kg</math>. What is the proton's velocity?<br><br />
<br>Solution:<br><br />
#Because we are dealing with a subatomic particle, we should probably use the relativistic kinetic energy formula as the approximate kinetic energy formula may be very inaccurate if the particle is moving at a velocity near the speed of sound.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²}=(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²} + 1=\frac{1}{\sqrt{1-\frac{v²}{c²}}}</math><br><br />
#<math>\frac{1}{\frac{KE}{mc²} + 1}=\sqrt{1-\frac{v²}{c²}}</math><br><br />
#<math>1-\frac{v²}{c²}=(\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>\frac{v²}{c²}=1 - (\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>v²=c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)</math><br><br />
#<math>v=\sqrt{c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)}</math><br><br />
#<math>v=c*\sqrt{1 - (\frac{1}{\frac{KE}{mc²} + 1})²}</math><br><br />
#<math>v=3X10^8 m/s*\sqrt{1 - (\frac{1}{\frac{(2.38X10^-15 J)}{(1.67X10^-27 kg)(3X10^8 m/s)²} + 1})²}</math><br><br />
#v = <math>2.999X10^8 m/s</math>. This means that the proton is moving very close to the speed of light and hence our choice to use the relativistic kinetic energy equation was a good one.<br><br />
<br />
==Connectedness==<br />
Kinetic energy is very important is baseball. When a batter hits a ball, kinetic energy from the bat is transferred into the ball such that the ball flies out into the field. Assuming solid contact between the ball and the bat, the amount of kinetic energy transferred to the ball is directly proportional to the kinetic energy of the bat. As this is a non-relativistic application, there are only two variables to consider when calculating the kinetic energy of the bad: m and v. While a heaver bat would have greater kinetic energy than a bat of smaller mass traveling at the same velocity, heavier bats are more difficult to swing quickly and generally have lower velocity. Hence, batters must try to choose the a bat that they can swing very fast that still has reasonable mass to it to try to maximize kinetic energy (<math>\frac{1}{2}mv²</math>).<br />
https://www.youtube.com/watch?v=zDcf7eEaP0M<br />
<br />
==History==<br />
<br />
Kinetic energy can be traced all the way back to Aristotle who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed by Gottfried Leibniz and Johann Bernoulli, whom described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. William Thomson is credited for devising the term "kinetic energy" in the mid 1800's.<br />
<br />
== See also ==<br />
<br />
[[Potential Energy]]<br> <br />
[[Rest Mass Energy]]<br />
<br />
===Further reading===<br />
<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9 <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/ke.html<br />
http://www.livescience.com/46278-kinetic-energy.html<br />
<br />
==References==<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9<br> <br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br> <br />
<br />
[[Category:Energy]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Kinetic_Energy&diff=20823Kinetic Energy2016-04-10T21:18:38Z<p>Myoung65: /* Connectedness */</p>
<hr />
<div>Claimed by myoung65<br />
== Kinetic Energy==<br />
Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]]. Kinetic energy is also known as the work needed to accelerate a mass from rest to a final velocity. <br />
<br />
===A Mathematical Model===<br />
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv²</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.<br />
<br />
===A Computational Model===<br />
By [[Conservation of Energy]], energy can be converted but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without loss. This is an excellent visualization of energy that can be demonstrated with vpython. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778<br />
<br />
==Examples==<br />
===Simple===<br />
A ball is rolling along a frictionless surface at a constant <math>19 m/s</math>. The ball has mass <math>12 kg</math>. What is the kinetic energy of the ball in Joules?<br> <br />
<br>Solution:<br><br />
#Because the ball's velocity is far less than the speed of light, we can use the simplified kinetic energy formula.<br> <br />
#<math>KE=\frac{1}{2}mv²</math><br> <br />
#<math>KE=\frac{1}{2}(12 kg)*(19 m/s)²</math><br> <br />
#Hence, KE = <math>2166 J</math> or <math>2.166 kJ</math><br><br />
===Middling===<br />
An electron is moving through space at a constant <math>2.9X10^8 m/s</math>. The electron has mass <math>9.1X10^-31 kg</math>. What is the kinetic energy of the ball in Joules?<br><br />
<br>Solution:<br><br />
#Because the electron's velocity is close to the speed of light, we must use the relativistic kinetic energy formula.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>KE=(9.1X10^-31 kg)(3X10^8 m/s)²(\frac{1}{\sqrt{1-\frac{(2.9X10^8 m/s)²}{(3X10^8 m/s)²}}} -1)</math><br><br />
#Hence, KE = <math>2.38X10^-13 J</math> or <math>2.38X10^-16 kJ</math><br><br />
===Difficult===<br />
An proton is moving through space at constant velocity. It is found to have kinetic energy <math>2.38X10^-15 J</math>. The proton has mass <math>1.67X10^-27 kg</math>. What is the proton's velocity?<br><br />
<br>Solution:<br><br />
#Because we are dealing with a subatomic particle, we should probably use the relativistic kinetic energy formula as the approximate kinetic energy formula may be very inaccurate if the particle is moving at a velocity near the speed of sound.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²}=(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²} + 1=\frac{1}{\sqrt{1-\frac{v²}{c²}}}</math><br><br />
#<math>\frac{1}{\frac{KE}{mc²} + 1}=\sqrt{1-\frac{v²}{c²}}</math><br><br />
#<math>1-\frac{v²}{c²}=(\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>\frac{v²}{c²}=1 - (\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>v²=c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)</math><br><br />
#<math>v=\sqrt{c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)}</math><br><br />
#<math>v=c*\sqrt{1 - (\frac{1}{\frac{KE}{mc²} + 1})²}</math><br><br />
#<math>v=3X10^8 m/s*\sqrt{1 - (\frac{1}{\frac{(2.38X10^-15 J)}{(1.67X10^-27 kg)(3X10^8 m/s)²} + 1})²}</math><br><br />
#v = <math>2.999X10^8 m/s</math>. This means that the proton is moving very close to the speed of light and hence our choice to use the relativistic kinetic energy equation was a good one.<br><br />
<br />
==Connectedness==<br />
Kinetic energy is very important is baseball. When a batter hits a ball, kinetic energy from the bat is transferred into the ball such that the ball flies out into the field. Assuming solid contact between the ball and the bat, the amount of kinetic energy transferred to the ball is directly proportional to the kinetic energy of the bat. As this is a non-relativistic application, there are only two variables to consider when calculating the kinetic energy of the bad: m and v. While a heaver bat would have greater kinetic energy than a bat of smaller mass traveling at the same velocity, heavier bats are more difficult to swing quickly and generally have lower velocity. Hence, batters must try to choose the a bat that they can swing very fast that still has reasonable mass to it to try to maximize kinetic energy (<math>\frac{1}{2}mv²</math>).<br />
https://www.youtube.com/watch?v=zDcf7eEaP0M<br />
<br />
==History==<br />
<br />
Kinetic energy can be traced all the way back to Aristotle who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed by Gottfried Leibniz and Johann Bernoulli, whom described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. William Thomson is credited for devising the term "kinetic energy" in the mid 1800's.<br />
<br />
== See also ==<br />
<br />
[[Potential Energy]]<br> <br />
[[Rest Mass Energy]]<br />
<br />
===Further reading===<br />
<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9 <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/ke.html<br />
http://www.livescience.com/46278-kinetic-energy.html<br />
<br />
==References==<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9<br> <br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br> <br />
<br />
[[Category:Energy]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Kinetic_Energy&diff=20822Kinetic Energy2016-04-10T21:17:22Z<p>Myoung65: /* See also */</p>
<hr />
<div>Claimed by myoung65<br />
== Kinetic Energy==<br />
Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]]. Kinetic energy is also known as the work needed to accelerate a mass from rest to a final velocity. <br />
<br />
===A Mathematical Model===<br />
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv²</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.<br />
<br />
===A Computational Model===<br />
By [[Conservation of Energy]], energy can be converted but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without loss. This is an excellent visualization of energy that can be demonstrated with vpython. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778<br />
<br />
==Examples==<br />
===Simple===<br />
A ball is rolling along a frictionless surface at a constant <math>19 m/s</math>. The ball has mass <math>12 kg</math>. What is the kinetic energy of the ball in Joules?<br> <br />
<br>Solution:<br><br />
#Because the ball's velocity is far less than the speed of light, we can use the simplified kinetic energy formula.<br> <br />
#<math>KE=\frac{1}{2}mv²</math><br> <br />
#<math>KE=\frac{1}{2}(12 kg)*(19 m/s)²</math><br> <br />
#Hence, KE = <math>2166 J</math> or <math>2.166 kJ</math><br><br />
===Middling===<br />
An electron is moving through space at a constant <math>2.9X10^8 m/s</math>. The electron has mass <math>9.1X10^-31 kg</math>. What is the kinetic energy of the ball in Joules?<br><br />
<br>Solution:<br><br />
#Because the electron's velocity is close to the speed of light, we must use the relativistic kinetic energy formula.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>KE=(9.1X10^-31 kg)(3X10^8 m/s)²(\frac{1}{\sqrt{1-\frac{(2.9X10^8 m/s)²}{(3X10^8 m/s)²}}} -1)</math><br><br />
#Hence, KE = <math>2.38X10^-13 J</math> or <math>2.38X10^-16 kJ</math><br><br />
===Difficult===<br />
An proton is moving through space at constant velocity. It is found to have kinetic energy <math>2.38X10^-15 J</math>. The proton has mass <math>1.67X10^-27 kg</math>. What is the proton's velocity?<br><br />
<br>Solution:<br><br />
#Because we are dealing with a subatomic particle, we should probably use the relativistic kinetic energy formula as the approximate kinetic energy formula may be very inaccurate if the particle is moving at a velocity near the speed of sound.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²}=(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²} + 1=\frac{1}{\sqrt{1-\frac{v²}{c²}}}</math><br><br />
#<math>\frac{1}{\frac{KE}{mc²} + 1}=\sqrt{1-\frac{v²}{c²}}</math><br><br />
#<math>1-\frac{v²}{c²}=(\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>\frac{v²}{c²}=1 - (\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>v²=c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)</math><br><br />
#<math>v=\sqrt{c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)}</math><br><br />
#<math>v=c*\sqrt{1 - (\frac{1}{\frac{KE}{mc²} + 1})²}</math><br><br />
#<math>v=3X10^8 m/s*\sqrt{1 - (\frac{1}{\frac{(2.38X10^-15 J)}{(1.67X10^-27 kg)(3X10^8 m/s)²} + 1})²}</math><br><br />
#v = <math>2.999X10^8 m/s</math>. This means that the proton is moving very close to the speed of light and hence our choice to use the relativistic kinetic energy equation was a good one.<br><br />
<br />
==Connectedness==<br />
Kinetic energy is very important is baseball. When a batter hits a ball, kinetic energy from the bat is transferred into the ball such that the ball flies out into the field. Assuming solid contact between the ball and the bat, the amount of kinetic energy transferred to the ball is directly proportional to the kinetic energy of the bat. As this is a non-relativistic application, there are only two variables to consider when calculating the kinetic energy of the bad: m and v. While a heaver bat would have greater kinetic energy than a bat of smaller mass traveling at the same velocity, heavier bats are more difficult to swing quickly and generally have lower velocity. Hence, batters must try to choose the a bat that they can swing very fast that still has reasonable mass to it to try to maximize kinetic energy (<math>\frac{1}{2}mv²</math>).<br />
<br />
==History==<br />
<br />
Kinetic energy can be traced all the way back to Aristotle who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed by Gottfried Leibniz and Johann Bernoulli, whom described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. William Thomson is credited for devising the term "kinetic energy" in the mid 1800's.<br />
<br />
== See also ==<br />
<br />
[[Potential Energy]]<br> <br />
[[Rest Mass Energy]]<br />
<br />
===Further reading===<br />
<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9 <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br />
http://hyperphysics.phy-astr.gsu.edu/hbase/ke.html<br />
http://www.livescience.com/46278-kinetic-energy.html<br />
<br />
==References==<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9<br> <br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br> <br />
<br />
[[Category:Energy]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Kinetic_Energy&diff=20821Kinetic Energy2016-04-10T21:15:28Z<p>Myoung65: </p>
<hr />
<div>Claimed by myoung65<br />
== Kinetic Energy==<br />
Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]]. Kinetic energy is also known as the work needed to accelerate a mass from rest to a final velocity. <br />
<br />
===A Mathematical Model===<br />
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv²</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.<br />
<br />
===A Computational Model===<br />
By [[Conservation of Energy]], energy can be converted but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without loss. This is an excellent visualization of energy that can be demonstrated with vpython. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778<br />
<br />
==Examples==<br />
===Simple===<br />
A ball is rolling along a frictionless surface at a constant <math>19 m/s</math>. The ball has mass <math>12 kg</math>. What is the kinetic energy of the ball in Joules?<br> <br />
<br>Solution:<br><br />
#Because the ball's velocity is far less than the speed of light, we can use the simplified kinetic energy formula.<br> <br />
#<math>KE=\frac{1}{2}mv²</math><br> <br />
#<math>KE=\frac{1}{2}(12 kg)*(19 m/s)²</math><br> <br />
#Hence, KE = <math>2166 J</math> or <math>2.166 kJ</math><br><br />
===Middling===<br />
An electron is moving through space at a constant <math>2.9X10^8 m/s</math>. The electron has mass <math>9.1X10^-31 kg</math>. What is the kinetic energy of the ball in Joules?<br><br />
<br>Solution:<br><br />
#Because the electron's velocity is close to the speed of light, we must use the relativistic kinetic energy formula.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>KE=(9.1X10^-31 kg)(3X10^8 m/s)²(\frac{1}{\sqrt{1-\frac{(2.9X10^8 m/s)²}{(3X10^8 m/s)²}}} -1)</math><br><br />
#Hence, KE = <math>2.38X10^-13 J</math> or <math>2.38X10^-16 kJ</math><br><br />
===Difficult===<br />
An proton is moving through space at constant velocity. It is found to have kinetic energy <math>2.38X10^-15 J</math>. The proton has mass <math>1.67X10^-27 kg</math>. What is the proton's velocity?<br><br />
<br>Solution:<br><br />
#Because we are dealing with a subatomic particle, we should probably use the relativistic kinetic energy formula as the approximate kinetic energy formula may be very inaccurate if the particle is moving at a velocity near the speed of sound.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²}=(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²} + 1=\frac{1}{\sqrt{1-\frac{v²}{c²}}}</math><br><br />
#<math>\frac{1}{\frac{KE}{mc²} + 1}=\sqrt{1-\frac{v²}{c²}}</math><br><br />
#<math>1-\frac{v²}{c²}=(\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>\frac{v²}{c²}=1 - (\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>v²=c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)</math><br><br />
#<math>v=\sqrt{c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)}</math><br><br />
#<math>v=c*\sqrt{1 - (\frac{1}{\frac{KE}{mc²} + 1})²}</math><br><br />
#<math>v=3X10^8 m/s*\sqrt{1 - (\frac{1}{\frac{(2.38X10^-15 J)}{(1.67X10^-27 kg)(3X10^8 m/s)²} + 1})²}</math><br><br />
#v = <math>2.999X10^8 m/s</math>. This means that the proton is moving very close to the speed of light and hence our choice to use the relativistic kinetic energy equation was a good one.<br><br />
<br />
==Connectedness==<br />
Kinetic energy is very important is baseball. When a batter hits a ball, kinetic energy from the bat is transferred into the ball such that the ball flies out into the field. Assuming solid contact between the ball and the bat, the amount of kinetic energy transferred to the ball is directly proportional to the kinetic energy of the bat. As this is a non-relativistic application, there are only two variables to consider when calculating the kinetic energy of the bad: m and v. While a heaver bat would have greater kinetic energy than a bat of smaller mass traveling at the same velocity, heavier bats are more difficult to swing quickly and generally have lower velocity. Hence, batters must try to choose the a bat that they can swing very fast that still has reasonable mass to it to try to maximize kinetic energy (<math>\frac{1}{2}mv²</math>).<br />
<br />
==History==<br />
<br />
Kinetic energy can be traced all the way back to Aristotle who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed by Gottfried Leibniz and Johann Bernoulli, whom described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. William Thomson is credited for devising the term "kinetic energy" in the mid 1800's.<br />
<br />
== See also ==<br />
<br />
[[Potential Energy]]<br> <br />
[[Rest Mass Energy]]<br />
<br />
===Further reading===<br />
<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9 <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br />
<br />
==References==<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9<br> <br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br> <br />
<br />
[[Category:Energy]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Kinetic_Energy&diff=20820Kinetic Energy2016-04-10T21:14:14Z<p>Myoung65: </p>
<hr />
<div>Claimed by myoung65<br />
== Kinetic Energy==<br />
Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]].<br />
<br />
===A Mathematical Model===<br />
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv²</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.<br />
<br />
===A Computational Model===<br />
By [[Conservation of Energy]], energy can be converted but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without loss. This is an excellent visualization of energy that can be demonstrated with vpython. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778<br />
<br />
==Examples==<br />
===Simple===<br />
A ball is rolling along a frictionless surface at a constant <math>19 m/s</math>. The ball has mass <math>12 kg</math>. What is the kinetic energy of the ball in Joules?<br> <br />
<br>Solution:<br><br />
#Because the ball's velocity is far less than the speed of light, we can use the simplified kinetic energy formula.<br> <br />
#<math>KE=\frac{1}{2}mv²</math><br> <br />
#<math>KE=\frac{1}{2}(12 kg)*(19 m/s)²</math><br> <br />
#Hence, KE = <math>2166 J</math> or <math>2.166 kJ</math><br><br />
===Middling===<br />
An electron is moving through space at a constant <math>2.9X10^8 m/s</math>. The electron has mass <math>9.1X10^-31 kg</math>. What is the kinetic energy of the ball in Joules?<br><br />
<br>Solution:<br><br />
#Because the electron's velocity is close to the speed of light, we must use the relativistic kinetic energy formula.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>KE=(9.1X10^-31 kg)(3X10^8 m/s)²(\frac{1}{\sqrt{1-\frac{(2.9X10^8 m/s)²}{(3X10^8 m/s)²}}} -1)</math><br><br />
#Hence, KE = <math>2.38X10^-13 J</math> or <math>2.38X10^-16 kJ</math><br><br />
===Difficult===<br />
An proton is moving through space at constant velocity. It is found to have kinetic energy <math>2.38X10^-15 J</math>. The proton has mass <math>1.67X10^-27 kg</math>. What is the proton's velocity?<br><br />
<br>Solution:<br><br />
#Because we are dealing with a subatomic particle, we should probably use the relativistic kinetic energy formula as the approximate kinetic energy formula may be very inaccurate if the particle is moving at a velocity near the speed of sound.<br> <br />
#<math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²}=(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math><br><br />
#<math>\frac{KE}{mc²} + 1=\frac{1}{\sqrt{1-\frac{v²}{c²}}}</math><br><br />
#<math>\frac{1}{\frac{KE}{mc²} + 1}=\sqrt{1-\frac{v²}{c²}}</math><br><br />
#<math>1-\frac{v²}{c²}=(\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>\frac{v²}{c²}=1 - (\frac{1}{\frac{KE}{mc²} + 1})²</math><br><br />
#<math>v²=c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)</math><br><br />
#<math>v=\sqrt{c²*(1 - (\frac{1}{\frac{KE}{mc²} + 1})²)}</math><br><br />
#<math>v=c*\sqrt{1 - (\frac{1}{\frac{KE}{mc²} + 1})²}</math><br><br />
#<math>v=3X10^8 m/s*\sqrt{1 - (\frac{1}{\frac{(2.38X10^-15 J)}{(1.67X10^-27 kg)(3X10^8 m/s)²} + 1})²}</math><br><br />
#v = <math>2.999X10^8 m/s</math>. This means that the proton is moving very close to the speed of light and hence our choice to use the relativistic kinetic energy equation was a good one.<br><br />
<br />
==Connectedness==<br />
Kinetic energy is very important is baseball. When a batter hits a ball, kinetic energy from the bat is transferred into the ball such that the ball flies out into the field. Assuming solid contact between the ball and the bat, the amount of kinetic energy transferred to the ball is directly proportional to the kinetic energy of the bat. As this is a non-relativistic application, there are only two variables to consider when calculating the kinetic energy of the bad: m and v. While a heaver bat would have greater kinetic energy than a bat of smaller mass traveling at the same velocity, heavier bats are more difficult to swing quickly and generally have lower velocity. Hence, batters must try to choose the a bat that they can swing very fast that still has reasonable mass to it to try to maximize kinetic energy (<math>\frac{1}{2}mv²</math>).<br />
<br />
==History==<br />
<br />
Kinetic energy can be traced all the way back to Aristotle who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed by Gottfried Leibniz and Johann Bernoulli, whom described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. William Thomson is credited for devising the term "kinetic energy" in the mid 1800's.<br />
<br />
== See also ==<br />
<br />
[[Potential Energy]]<br> <br />
[[Rest Mass Energy]]<br />
<br />
===Further reading===<br />
<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9 <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br />
<br />
==References==<br />
Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 9<br> <br />
http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br> <br />
https://en.wikipedia.org/wiki/Kinetic_energy<br> <br />
<br />
[[Category:Energy]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Conductivity&diff=20619Conductivity2016-03-14T17:30:05Z<p>Myoung65: </p>
<hr />
<div><br />
<br />
'''Claimed by myoung65, Spring 2016<br />
'''<br />
==Definition==<br />
<br />
Electrical Resistivity is a measure of how a given material opposes current flow. Low resistivity shows a material that allows the flow of current, whereas the opposite is true for high resistivity.<br />
Electrical Conductivity is the reciprocal/inverse of Electrical Resistivity, in that it measures the ability of a given material to conduct electric current<br />
<br />
==Symbols==<br />
<br />
Electrical Resistivity is mainly represented by the Greek lower-case rho. <br />
Electrical Conductivity is mainly represented by the Greek lower-case sigma, but is occasionally represented by a lower-case kappa, or gamma.<br />
<br />
== SI Units ==<br />
<br />
Electrical Resistivity is measured in Ohm-Metres.<br />
Electrical Conductivity is measured in Siemens per Metre<br />
<br />
== Classification of Materials by Conductivity ==<br />
<br />
Materials with high Conductivity are known as conductors. ex. metals<br />
Materials with low Conductivity are known as resistors. ex. vacuums, glass, etc.<br />
<br />
== Semiconductors ==<br />
<br />
Semiconductors are materials that have a conductivity in-between that of an insulator and a conductor. However, as temperature increases, unlike in most metals, the conductivity of semiconductors increases.<br />
<br />
== Temperature Dependence ==<br />
<br />
As temperature increases, the electrical resistivity of metals increases. This is a reason why when computers heat up, they tend to slow down. Some materials exhibit superconductivity at extremely low temperatures. Below a certain temperature, resistivity vanishes, such as Pb at 7.20 K.<br />
<br />
==Equations==<br />
<br />
'''Poulliet's Law'''<br />
<br />
R=ρℓ/A<br />
<br />
R = Electric Resistance<br />
ρ = Electric Resistivity<br />
ℓ = Length<br />
A = Cross-Sectional Area<br />
<br />
Poulliet's Law states that a given materials resistance will increase in length, while it will decrease with an increase in Area.<br />
<br />
==Conductivity in Real Life==<br />
<br />
Conductors are used to carry electricity, as well as electrical signals in circuits. <br />
Complementary metal–oxide–semiconductors, or CMOS for short, are the foundational building block of gate based logic circuits, that make up the majority of all modern electronics. CMOS circuits are composed of a combination of p-type and n-type semiconductors. These semiconductors will change their conductivity, based on the applied voltage, allowing for logic of 0's and 1's, or low voltage and high voltage, to be transferred through logical circuits. This allows us to apply boolean logic to circuits, such as AND and OR logic, or even create an amalgamation of AND's and OR's to create electronics, such as multiplexors, switches, latches, registers, decoders, encoders, etc.<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br />
<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4471Talk:Main Page2015-11-30T16:58:56Z<p>Myoung65: </p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
Question: <br />
A stone of mass 10 g placed at the top of a tower 50 m high is allowed to fall freely. Show that law of conservation of energy holds good in the case of the stone.<br />
http://images.tutorvista.com/contentimages/science/CBSEIXSCIENCE/Ch146/images/img179.jpeg<br />
Answer: In this case we have to prove that total energy at A, B and C is the same.<br />
Height = 50 m<br />
Potential energy at A = mgh<br />
= 0.01 x 9.8 x 50<br />
= 0.01 x 98 x 5<br />
= 4.9 J<br />
= 0<br />
Total energy at A = potential energy + kinetic energy= 4.9 + 0<br />
Total energy at A = 4.9 J ...(1)<br />
At B<br />
Height from the ground = 40 m<br />
Potential energy = mgh<br />
= 0.01 x 9.8 x 40<br />
= 0.01 x 98 x 4<br />
Potential energy at B = 3.92 J<br />
To calculate v we make use of III equation of motion,<br />
Here, u = 0, a = 9.8 m/s2 and H = 10 m<br />
= 0.98 J<br />
Total energy at B = potential energy + kinetic energy<br />
= 3.92 + 0.98<br />
Total energy at B = 4.90 J (2)<br />
At C<br />
Height from the ground = 0<br />
Potential energy at C = mgh<br />
To calculate v we use III equation of motion,<br />
Here, u = 0, a = 9.8m/s2 and H = 50 m<br />
= 4.9 J<br />
Total energy at C = potential energy + kinetic energy<br />
= 0 + 4.9<br />
Total energy at C = 4.9 J (3)<br />
The total energy at A, B and C is 4.9 J. This means that law of conservation of energy holds good in the case of a stone falling freely under gravity.<br />
<br />
==Connectedness==<br />
#I am interested in this topic because Physics has never really clicked in my mind and researching more on why when you do work on a system the energy is conserved is very interesting to me. I learned a lot why doing this and now understand why this is true instead of just memorizing that it is true.<br />
# This is connected to my major because I am a Biology/Pre-Health major and I am interested in making medical products that increase the efficiently of hospitals. This concept can be important because I will want to design products that use as a little energy as possible while still getting the job done effectively. <br />
#The industrial application that can be used concerning this topic is that certain materials can be used when building structures to minimize thermal energy lost, thus making the system more effective. <br />
<br />
==History==<br />
<br />
There are many people who contributed to the Conservation of Energy laws. In 1639 Galileo, who was from Italy, introduced the pendulum where potential and kinetic energy are always present in different amounts throughout the motion. French physicists Gottfried Wilhelm Leibniz formulated how Kinetic energy is connected to velocity and mass between 1676-1689. How kinetic energy and Work are related was described by Gaspard-Gustave Coriolis and Jean-Victor Poncelet from 1819-1839 in France. All of these men, along with many others played a very important role in formulating what we know about energy today and they did is because they were constantly trying to make improvements to society and science. <br />
<br />
== See also ==<br />
More practice problems: http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21<br />
===Further reading===<br />
One book I found interesting on this topic is called ''Energy, Society, and Environment: Technology for a Sustainable Future'' ''Italic text''by David Elliott. This book talks about connecting the conservation of energy principles that have bee around for a long time to modern technology<br />
===External links===<br />
<br />
This link provides very good information about the conservation of energy http://hyperphysics.phy-astr.gsu.edu/hbase/conser.html<br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21<br />
https://en.wikipedia.org/wiki/Conservation_of_energy#History</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4468Talk:Main Page2015-11-30T16:54:30Z<p>Myoung65: </p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
Question: <br />
A stone of mass 10 g placed at the top of a tower 50 m high is allowed to fall freely. Show that law of conservation of energy holds good in the case of the stone.<br />
http://images.tutorvista.com/contentimages/science/CBSEIXSCIENCE/Ch146/images/img179.jpeg<br />
Answer: In this case we have to prove that total energy at A, B and C is the same.<br />
Height = 50 m<br />
Potential energy at A = mgh<br />
= 0.01 x 9.8 x 50<br />
= 0.01 x 98 x 5<br />
= 4.9 J<br />
= 0<br />
Total energy at A = potential energy + kinetic energy= 4.9 + 0<br />
Total energy at A = 4.9 J ...(1)<br />
At B<br />
Height from the ground = 40 m<br />
Potential energy = mgh<br />
= 0.01 x 9.8 x 40<br />
= 0.01 x 98 x 4<br />
Potential energy at B = 3.92 J<br />
To calculate v we make use of III equation of motion,<br />
Here, u = 0, a = 9.8 m/s2 and H = 10 m<br />
= 0.98 J<br />
Total energy at B = potential energy + kinetic energy<br />
= 3.92 + 0.98<br />
Total energy at B = 4.90 J (2)<br />
At C<br />
Height from the ground = 0<br />
Potential energy at C = mgh<br />
To calculate v we use III equation of motion,<br />
Here, u = 0, a = 9.8m/s2 and H = 50 m<br />
= 4.9 J<br />
Total energy at C = potential energy + kinetic energy<br />
= 0 + 4.9<br />
Total energy at C = 4.9 J (3)<br />
The total energy at A, B and C is 4.9 J. This means that law of conservation of energy holds good in the case of a stone falling freely under gravity.<br />
<br />
==Connectedness==<br />
#I am interested in this topic because Physics has never really clicked in my mind and researching more on why when you do work on a system the energy is conserved is very interesting to me. I learned a lot why doing this and now understand why this is true instead of just memorizing that it is true.<br />
# This is connected to my major because I am a Biology/Pre-Health major and I am interested in making medical products that increase the efficiently of hospitals. This concept can be important because I will want to design products that use as a little energy as possible while still getting the job done effectively. <br />
#The industrial application that can be used concerning this topic is that certain materials can be used when building structures to minimize thermal energy lost, thus making the system more effective. <br />
<br />
==History==<br />
<br />
There are many people who contributed to the Conservation of Energy laws. In 1639 Galileo, who was from Italy, introduced the pendulum where potential and kinetic energy are always present in different amounts throughout the motion. French physicists Gottfried Wilhelm Leibniz formulated how Kinetic energy is connected to velocity and mass between 1676-1689. How kinetic energy and Work are related was described by Gaspard-Gustave Coriolis and Jean-Victor Poncelet from 1819-1839 in France. All of these men, along with many others played a very important role in formulating what we know about energy today and they did is because they were constantly trying to make improvements to society and science. <br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4465Talk:Main Page2015-11-30T16:46:54Z<p>Myoung65: </p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
Question: <br />
A stone of mass 10 g placed at the top of a tower 50 m high is allowed to fall freely. Show that law of conservation of energy holds good in the case of the stone.<br />
http://images.tutorvista.com/contentimages/science/CBSEIXSCIENCE/Ch146/images/img179.jpeg<br />
Answer: In this case we have to prove that total energy at A, B and C is the same.<br />
Height = 50 m<br />
Potential energy at A = mgh<br />
= 0.01 x 9.8 x 50<br />
= 0.01 x 98 x 5<br />
= 4.9 J<br />
= 0<br />
Total energy at A = potential energy + kinetic energy= 4.9 + 0<br />
Total energy at A = 4.9 J ...(1)<br />
At B<br />
Height from the ground = 40 m<br />
Potential energy = mgh<br />
= 0.01 x 9.8 x 40<br />
= 0.01 x 98 x 4<br />
Potential energy at B = 3.92 J<br />
To calculate v we make use of III equation of motion,<br />
Here, u = 0, a = 9.8 m/s2 and H = 10 m<br />
= 0.98 J<br />
Total energy at B = potential energy + kinetic energy<br />
= 3.92 + 0.98<br />
Total energy at B = 4.90 J (2)<br />
At C<br />
Height from the ground = 0<br />
Potential energy at C = mgh<br />
To calculate v we use III equation of motion,<br />
Here, u = 0, a = 9.8m/s2 and H = 50 m<br />
= 4.9 J<br />
Total energy at C = potential energy + kinetic energy<br />
= 0 + 4.9<br />
Total energy at C = 4.9 J (3)<br />
The total energy at A, B and C is 4.9 J. This means that law of conservation of energy holds good in the case of a stone falling freely under gravity.<br />
<br />
==Connectedness==<br />
#I am interested in this topic because Physics has never really clicked in my mind and researching more on why when you do work on a system the energy is conserved is very interesting to me. I learned a lot why doing this and now understand why this is true instead of just memorizing that it is true.<br />
# This is connected to my major because I am a Biology/Pre-Health major and I am interested in making medical products that increase the efficiently of hospitals. This concept can be important because I will want to design products that use as a little energy as possible while still getting the job done effectively. <br />
#The industrial application that can be used concerning this topic is that certain materials can be used when building structures to minimize thermal energy lost, thus making the system more effective. <br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4458Talk:Main Page2015-11-30T16:42:32Z<p>Myoung65: /* Difficult */</p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
Question: <br />
A stone of mass 10 g placed at the top of a tower 50 m high is allowed to fall freely. Show that law of conservation of energy holds good in the case of the stone.<br />
http://images.tutorvista.com/contentimages/science/CBSEIXSCIENCE/Ch146/images/img179.jpeg<br />
Answer: In this case we have to prove that total energy at A, B and C is the same.<br />
Height = 50 m<br />
Potential energy at A = mgh<br />
= 0.01 x 9.8 x 50<br />
= 0.01 x 98 x 5<br />
= 4.9 J<br />
= 0<br />
Total energy at A = potential energy + kinetic energy= 4.9 + 0<br />
Total energy at A = 4.9 J ...(1)<br />
At B<br />
Height from the ground = 40 m<br />
Potential energy = mgh<br />
= 0.01 x 9.8 x 40<br />
= 0.01 x 98 x 4<br />
Potential energy at B = 3.92 J<br />
To calculate v we make use of III equation of motion,<br />
Here, u = 0, a = 9.8 m/s2 and H = 10 m<br />
= 0.98 J<br />
Total energy at B = potential energy + kinetic energy<br />
= 3.92 + 0.98<br />
Total energy at B = 4.90 J (2)<br />
At C<br />
Height from the ground = 0<br />
Potential energy at C = mgh<br />
To calculate v we use III equation of motion,<br />
Here, u = 0, a = 9.8m/s2 and H = 50 m<br />
= 4.9 J<br />
Total energy at C = potential energy + kinetic energy<br />
= 0 + 4.9<br />
Total energy at C = 4.9 J (3)<br />
The total energy at A, B and C is 4.9 J. This means that law of conservation of energy holds good in the case of a stone falling freely under gravity.<br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4456Talk:Main Page2015-11-30T16:39:52Z<p>Myoung65: /* Difficult */</p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
Question: <br />
A stone of mass 10 g placed at the top of a tower 50 m high is allowed to fall freely. Show that law of conservation of energy holds good in the case of the stone.<br />
Answer: <br />
[[File:energy.jpg]]<br />
In this case we have to prove that total energy at A, B and C is the same.<br />
<br />
<br />
Height = 50 m<br />
Potential energy at A = mgh<br />
= 0.01 x 9.8 x 50<br />
= 0.01 x 98 x 5<br />
= 4.9 J<br />
<br />
= 0<br />
<br />
Total energy at A = potential energy + kinetic energy= 4.9 + 0<br />
Total energy at A = 4.9 J ...(1)<br />
At B<br />
Height from the ground = 40 m<br />
Potential energy = mgh<br />
= 0.01 x 9.8 x 40<br />
= 0.01 x 98 x 4<br />
Potential energy at B = 3.92 J<br />
<br />
To calculate v we make use of III equation of motion,<br />
<br />
Here, u = 0, a = 9.8 m/s2 and S = 10 m<br />
<br />
<br />
<br />
<br />
<br />
= 0.98 J<br />
Total energy at B = potential energy + kinetic energy<br />
<br />
= 3.92 + 0.98<br />
Total energy at B = 4.90 J (2)<br />
At C<br />
Height from the ground = 0<br />
Potential energy at C = mgh<br />
<br />
<br />
To calculate v we use III equation of motion,<br />
<br />
Here, u = 0, a = 9.8m/s2 and S = 50 m<br />
<br />
<br />
<br />
<br />
= 4.9 J<br />
Total energy at C = potential energy + kinetic energy<br />
= 0 + 4.9<br />
Total energy at C = 4.9 J (3)<br />
The total energy at A, B and C is 4.9 J. This means that law of conservation of energy holds good in the case of a stone falling freely under gravity.<br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4455Talk:Main Page2015-11-30T16:38:43Z<p>Myoung65: /* Examples */</p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
Question: <br />
A stone of mass 10 g placed at the top of a tower 50 m high is allowed to fall freely. Show that law of conservation of energy holds good in the case of the stone.<br />
Answer: <br />
In this case we have to prove that total energy at A, B and C is the same.<br />
<br />
<br />
Height = 50 m<br />
Potential energy at A = mgh<br />
= 0.01 x 9.8 x 50<br />
= 0.01 x 98 x 5<br />
= 4.9 J<br />
<br />
= 0<br />
<br />
Total energy at A = potential energy + kinetic energy= 4.9 + 0<br />
Total energy at A = 4.9 J ...(1)<br />
At B<br />
Height from the ground = 40 m<br />
Potential energy = mgh<br />
= 0.01 x 9.8 x 40<br />
= 0.01 x 98 x 4<br />
Potential energy at B = 3.92 J<br />
<br />
To calculate v we make use of III equation of motion,<br />
<br />
Here, u = 0, a = 9.8 m/s2 and S = 10 m<br />
<br />
<br />
<br />
<br />
<br />
= 0.98 J<br />
Total energy at B = potential energy + kinetic energy<br />
<br />
= 3.92 + 0.98<br />
Total energy at B = 4.90 J (2)<br />
At C<br />
Height from the ground = 0<br />
Potential energy at C = mgh<br />
<br />
<br />
To calculate v we use III equation of motion,<br />
<br />
Here, u = 0, a = 9.8m/s2 and S = 50 m<br />
<br />
<br />
<br />
<br />
= 4.9 J<br />
Total energy at C = potential energy + kinetic energy<br />
= 0 + 4.9<br />
Total energy at C = 4.9 J (3)<br />
The total energy at A, B and C is 4.9 J. This means that law of conservation of energy holds good in the case of a stone falling freely under gravity.<br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4452Talk:Main Page2015-11-30T16:37:16Z<p>Myoung65: </p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
<br />
Question: State the law of conservation of energy and explain the law by taking an oscillating simple pendulum as an example.<br />
<br />
Answer: The law of conservation of energy says that energy can neither be created nor destroyed but can be transformed from one form to another.<br />
In the case of the simple pendulum when the bob is as far to the left as it can be, it has maximum potential energy as it is raised with respect to the mean position, but its kinetic energy is zero as the bob stops oscillating for a fraction of a second before moving towards the right. When the bob reaches the mean position, it has a zero potential energy but maximum kinetic energy (maximum velocity too). When the bob of the pendulum swings to extreme right, it has the maximum potential energy but zero kinetic energy. <br />
===Middling===<br />
Question: A nail becomes warm when it is hammered into a plank. Explain why.<br />
<br />
Answer: A raised hammer has potential energy due to its position above the ground, gravity acts as acceleration. When the hammer comes down and strikes the head of the nail, the potential energy is transformed into kinetic energy. If we continue hitting the nail to secure it, the kinetic energy of the hammer is transferred to the molecules of the material of the nail. The heat content of the body is the total energy that the body possesses (Q in the equation above). As the heat content of the body increases, the nail becomes warm.<br />
===Difficult===<br />
<br />
<br />
==References==<br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html http://www.tutorvista.com/content/science/science-i/work-energy/question-answers-2.php#question-21</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4449Talk:Main Page2015-11-30T16:30:52Z<p>Myoung65: </p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.<br />
<br />
===A Computational Model===<br />
This video shows how energy in conserved in a variety of situations. <br />
http://study.com/academy/lesson/first-law-of-thermodynamics-law-of-conservation-of-energy.html</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=4447Talk:Main Page2015-11-30T16:27:59Z<p>Myoung65: /* Why Energy is conserved */</p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.<br />
<br />
===A Mathematical Model===<br />
<br />
The mathematical equations that are used to model this topic include many different equations, but they all relate back to the energy principle, ΔEsystem = WSurr +Q. W is the work cone by the surroundings and Q is the thermal energy. The change in energy will be always zero because energy is transferring to other forms of energy within the system or surroundings. Other Important equations include: <br />
K = ½mv2, ΔUg = mgΔh, E = K + U, Ei = Ef, Ki + Ui = Kf + Uf, W = F̅Δs cos θ.</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=File:Heat.png&diff=526File:Heat.png2015-11-08T22:24:26Z<p>Myoung65: </p>
<hr />
<div></div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=513Main Page2015-11-08T21:56:31Z<p>Myoung65: /* Organizing Catagories */</p>
<hr />
<div>__NOTOC__<br />
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br />
<br />
Looking to make a contribution?<br />
#Pick a specific topic from intro physics<br />
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br />
#Copy and paste the default [[Template]] into your new page and start editing.<br />
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== Source Material ==<br />
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br />
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br />
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br />
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br />
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br />
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br />
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br />
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br />
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br />
<br />
== Organizing Catagories ==<br />
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
===Interactions===<br />
<div class="mw-collapsible-content"><br />
*[[Fundamental Interactions]] <br />
*[[System & Surroundings]] <br />
<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Theory===<br />
<div class="mw-collapsible-content"><br />
*[[Einstein's Theory of Relativity]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Notable Scientists===<br />
<div class="mw-collapsible-content"><br />
*[[Albert Einstein]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
<br />
===Properties of Matter===<br />
<div class="mw-collapsible-content"><br />
*[[Mass]]<br />
*[[Charge]]<br />
*[[Spin]]<br />
*[[SI Units]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Contact Interactions===<br />
<div class="mw-collapsible-content"><br />
* [[Young's Modulus]]<br />
* [[Friction]]<br />
* [[Tension]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[Vectors]]<br />
* [[Kinematics]]<br />
* Predicting Change in one dimension<br />
* [[Predicting Change in multiple dimensions]]<br />
* [[Momentum Principle]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Angular Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[The Moments of Inertia]]<br />
* [[Rotation]]<br />
* [[Torque]]<br />
* Predicting a Change in Rotation<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Energy===<br />
<div class="mw-collapsible-content"><br />
*[[Predicting Change]]<br />
*[[Rest Mass Energy]]<br />
*[[Kinetic Energy]]<br />
*[[Potential Energy]]<br />
*[[Work]]<br />
*[[Thermal Energy]]<br />
*[[Conservation of Energy]]<br />
*[[Electric Potential]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Fields===<br />
<div class="mw-collapsible-content"><br />
* [[Electric Field]] of a<br />
** [[Point Charge]]<br />
** [[Electric Dipole]]<br />
** [[Capacitor]]<br />
** [[Charged Rod]]<br />
** [[Charged Disk]]<br />
** [[Charged Spherical Shell]]<br />
*[[Electric Potential]] <br />
**[[Potential Difference in a Uniform Field]]<br />
*[[Magnetic Field]]<br />
**[[Direction of Magnetic Field]]<br />
**[[Bar Magnet]]<br />
**[[Magnetic Force]]<br />
**[[Hall Effect]]<br />
**[[Lorentz Force]]<br />
**[[Biot-Savart Law]]<br />
**[[Integration Techniques for Magnetic Field]]<br />
**[[Sparks in Air]]<br />
**[[Motional Emf]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Simple Circuits===<br />
<div class="mw-collapsible-content"><br />
*[[Components]]<br />
*[[Steady State]]<br />
*[[Non Steady State]]<br />
*[[Node Rule]]<br />
*[[Loop Rule]]<br />
*[[Power in a circuit]]<br />
*[[Ammeters,Voltmeters,Ohmmeters]]<br />
*[[Current]]<br />
*[[Ohm's Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Maxwell's Equations===<br />
<div class="mw-collapsible-content"><br />
*[[Gauss's Flux Theorem]]<br />
**[[Electric Fields]]<br />
**[[Magnetic Fields]]<br />
*[[Faraday's Law]]<br />
**[[Inductance]]<br />
*[[Ampere-Maxwell Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Radiation===<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
== Resources ==<br />
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br />
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br />
* A page to keep track of all the physics [[Constants]]<br />
* An overview of [[VPython]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=512Main Page2015-11-08T21:52:31Z<p>Myoung65: </p>
<hr />
<div>__NOTOC__<br />
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br />
<br />
Looking to make a contribution?<br />
#Pick a specific topic from intro physics<br />
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br />
#Copy and paste the default [[Template]] into your new page and start editing.<br />
<br />
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.<br />
<br />
== Source Material ==<br />
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br />
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br />
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br />
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br />
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br />
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br />
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br />
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br />
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br />
<br />
== Organizing Catagories ==<br />
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
===Interactions===<br />
<div class="mw-collapsible-content"><br />
*[[Fundamental Interactions]] <br />
*[[System & Surroundings]] <br />
<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Theory===<br />
<div class="mw-collapsible-content"><br />
*[[Einstein's Theory of Relativity]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Notable Scientists===<br />
<div class="mw-collapsible-content"><br />
*[[Albert Einstein]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
<br />
===Properties of Matter===<br />
<div class="mw-collapsible-content"><br />
*[[Mass]]<br />
*[[Charge]]<br />
*[[Spin]]<br />
*[[SI Units]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Contact Interactions===<br />
<div class="mw-collapsible-content"><br />
* [[Young's Modulus]]<br />
* [[Friction]]<br />
* [[Tension]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[Vectors]]<br />
* [[Kinematics]]<br />
* Predicting Change in one dimension<br />
* [[Predicting Change in multiple dimensions]]<br />
* [[Momentum Principle]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Angular Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[The Moments of Inertia]]<br />
* [[Rotation]]<br />
* [[Torque]]<br />
* Predicting a Change in Rotation<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Energy===<br />
<div class="mw-collapsible-content"><br />
*Predicting Change<br />
*[[Rest Mass Energy]]<br />
*[[Kinetic Energy]]<br />
*[[Potential Energy]]<br />
*[[Work]]<br />
*[[Thermal Energy]]<br />
*[[Conservation of Energy]]<br />
*[[Electric Potential]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Fields===<br />
<div class="mw-collapsible-content"><br />
* [[Electric Field]] of a<br />
** [[Point Charge]]<br />
** [[Electric Dipole]]<br />
** [[Capacitor]]<br />
** [[Charged Rod]]<br />
** [[Charged Disk]]<br />
** [[Charged Spherical Shell]]<br />
*[[Electric Potential]] <br />
**[[Potential Difference in a Uniform Field]]<br />
*[[Magnetic Field]]<br />
**[[Direction of Magnetic Field]]<br />
**[[Bar Magnet]]<br />
**[[Magnetic Force]]<br />
**[[Hall Effect]]<br />
**[[Lorentz Force]]<br />
**[[Biot-Savart Law]]<br />
**[[Integration Techniques for Magnetic Field]]<br />
**[[Sparks in Air]]<br />
**[[Motional Emf]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Simple Circuits===<br />
<div class="mw-collapsible-content"><br />
*[[Components]]<br />
*[[Steady State]]<br />
*[[Non Steady State]]<br />
*[[Node Rule]]<br />
*[[Loop Rule]]<br />
*[[Power in a circuit]]<br />
*[[Ammeters,Voltmeters,Ohmmeters]]<br />
*[[Current]]<br />
*[[Ohm's Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Maxwell's Equations===<br />
<div class="mw-collapsible-content"><br />
*[[Gauss's Flux Theorem]]<br />
**[[Electric Fields]]<br />
**[[Magnetic Fields]]<br />
*[[Faraday's Law]]<br />
**[[Inductance]]<br />
*[[Ampere-Maxwell Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Radiation===<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
== Resources ==<br />
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br />
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br />
* A page to keep track of all the physics [[Constants]]<br />
* An overview of [[VPython]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=511Main Page2015-11-08T21:51:47Z<p>Myoung65: Isaac Newton</p>
<hr />
<div>__NOTOC__<br />
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br />
<br />
Looking to make a contribution?<br />
#Pick a specific topic from intro physics<br />
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br />
#Copy and paste the default [[Template]] into your new page and start editing.<br />
<br />
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.<br />
<br />
== Source Material ==<br />
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br />
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br />
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br />
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br />
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br />
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br />
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br />
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br />
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br />
<br />
== Organizing Catagories ==<br />
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
===Interactions===<br />
<div class="mw-collapsible-content"><br />
*[[Fundamental Interactions]] <br />
*[[System & Surroundings]] <br />
<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Theory===<br />
<div class="mw-collapsible-content"><br />
*[[Einstein's Theory of Relativity]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Notable Scientists===<br />
<div class="mw-collapsible-content"><br />
*[[Albert Einstein]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
Work in progress by Madison Young<br />
<br />
===Properties of Matter===<br />
<div class="mw-collapsible-content"><br />
*[[Mass]]<br />
*[[Charge]]<br />
*[[Spin]]<br />
*[[SI Units]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Contact Interactions===<br />
<div class="mw-collapsible-content"><br />
* [[Young's Modulus]]<br />
* [[Friction]]<br />
* [[Tension]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[Vectors]]<br />
* [[Kinematics]]<br />
* Predicting Change in one dimension<br />
* [[Predicting Change in multiple dimensions]]<br />
* [[Momentum Principle]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Angular Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[The Moments of Inertia]]<br />
* [[Rotation]]<br />
* [[Torque]]<br />
* Predicting a Change in Rotation<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Energy===<br />
<div class="mw-collapsible-content"><br />
*Predicting Change<br />
*[[Rest Mass Energy]]<br />
*[[Kinetic Energy]]<br />
*[[Potential Energy]]<br />
*[[Work]]<br />
*[[Thermal Energy]]<br />
*[[Conservation of Energy]]<br />
*[[Electric Potential]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Fields===<br />
<div class="mw-collapsible-content"><br />
* [[Electric Field]] of a<br />
** [[Point Charge]]<br />
** [[Electric Dipole]]<br />
** [[Capacitor]]<br />
** [[Charged Rod]]<br />
** [[Charged Disk]]<br />
** [[Charged Spherical Shell]]<br />
*[[Electric Potential]] <br />
**[[Potential Difference in a Uniform Field]]<br />
*[[Magnetic Field]]<br />
**[[Direction of Magnetic Field]]<br />
**[[Bar Magnet]]<br />
**[[Magnetic Force]]<br />
**[[Hall Effect]]<br />
**[[Lorentz Force]]<br />
**[[Biot-Savart Law]]<br />
**[[Integration Techniques for Magnetic Field]]<br />
**[[Sparks in Air]]<br />
**[[Motional Emf]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Simple Circuits===<br />
<div class="mw-collapsible-content"><br />
*[[Components]]<br />
*[[Steady State]]<br />
*[[Non Steady State]]<br />
*[[Node Rule]]<br />
*[[Loop Rule]]<br />
*[[Power in a circuit]]<br />
*[[Ammeters,Voltmeters,Ohmmeters]]<br />
*[[Current]]<br />
*[[Ohm's Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Maxwell's Equations===<br />
<div class="mw-collapsible-content"><br />
*[[Gauss's Flux Theorem]]<br />
**[[Electric Fields]]<br />
**[[Magnetic Fields]]<br />
*[[Faraday's Law]]<br />
**[[Inductance]]<br />
*[[Ampere-Maxwell Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Radiation===<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
== Resources ==<br />
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br />
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br />
* A page to keep track of all the physics [[Constants]]<br />
* An overview of [[VPython]]</div>Myoung65http://www.physicsbook.gatech.edu/index.php?title=Talk:Main_Page&diff=510Talk:Main Page2015-11-08T21:49:18Z<p>Myoung65: /* Why Energy is conserved */ new section</p>
<hr />
<div>== Why Energy is conserved ==<br />
<br />
The main idea of this page is to elaborate a little more on why energy is conserved and to understand it is a more simplified way. The thought about the fact that energy is neither created nor destroyed can be a mind boggling one simply because energy always seems to be coming from somewhere, so where does it go? The main idea behind why energy is conserved and neither created or destroyed is that it is just transferred to other forms. The first law of Thermodynamics states that the amount of energy in the universe is a constant, fixed amount. Is doesn’t go away and it doesn’t appear randomly.</div>Myoung65