Kinetic Energy: Difference between revisions
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The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math> KE=mc²(\frac{1}{sqrt | 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 (3e8 m/s), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv^2</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. | ||
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Revision as of 01:51, 20 October 2015
The energy of motion is kinetic energy.
Kinetic Energy
--A WORK IN PROGRESS BY JASON MORCOS-- 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 (kilo) Joules.
A Mathematical Model
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is [math]\displaystyle{ 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 (3e8 m/s), one can use the simplified kinetic energy formula: [math]\displaystyle{ KE=\frac{1}{2}mv^2 }[/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.
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
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