Physics Book - User contributions [en]

Work Done By A Nonconstant Force

2015-12-05T23:51:50Z

Justinvuong1: /* References */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
How is this topic connected to something that you are interested in?

Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

How is it connected to your major?

As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

Is there an interesting industrial application?

Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

The concept of work was introduced by a French mathematician named Gaspard-Gustave Coriolis in 1826. The concept was established as a "weight lifted through a height".

== See also ==

[[Work]]

==References==

[http://www.britannica.com/biography/Gustave-Gaspard-Coriolis]
[https://en.wikibooks.org/wiki/FHSST_Physics/Work_and_Energy/Work]
[https://trinket.io/glowscript/31d0f9ad9e]

[[Category:Energy]]

Created by Justin Vuong

Work Done By A Nonconstant Force

2015-12-05T23:49:29Z

Justinvuong1: /* References */

Work Done By A Nonconstant Force

2015-12-05T23:46:50Z

Justinvuong1: /* See also */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
How is this topic connected to something that you are interested in?

Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

How is it connected to your major?

As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

Is there an interesting industrial application?

Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

The concept of work was introduced by a French mathematician named Gaspard-Gustave Coriolis in 1826. The concept was established as a "weight lifted through a height".

== See also ==

[[Work]]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:46:09Z

Justinvuong1: /* See also */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
How is this topic connected to something that you are interested in?

Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

How is it connected to your major?

As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

Is there an interesting industrial application?

Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

The concept of work was introduced by a French mathematician named Gaspard-Gustave Coriolis in 1826. The concept was established as a "weight lifted through a height".

== See also ==

[[Work]]
[[Energy]]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:41:42Z

Justinvuong1: /* History */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
How is this topic connected to something that you are interested in?

Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

How is it connected to your major?

As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

Is there an interesting industrial application?

Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

The concept of work was introduced by a French mathematician named Gaspard-Gustave Coriolis in 1826. The concept was established as a "weight lifted through a height".

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:39:15Z

Justinvuong1: /* Connectedness */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
How is this topic connected to something that you are interested in?

Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

How is it connected to your major?

As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

Is there an interesting industrial application?

Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:39:00Z

Justinvuong1: /* Connectedness */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
How is this topic connected to something that you are interested in?
Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

How is it connected to your major?
As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

Is there an interesting industrial application?
Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:38:31Z

Justinvuong1: /* Connectedness */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
#How is this topic connected to something that you are interested in?
Even though I'm an ECE major, I have an interest in aviation, and the force of a jet engine is not always a constant force, so you would need to use this method to calculate the work done instead of the simple method.

#How is it connected to your major?
As an ECE major, this could be connected by my major when working with an electric motor and calculating the amount of power needed to power the motor.

#Is there an interesting industrial application?
Since many forces in the real world are not constant, this method of calculating work is needed for most situations.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:30:30Z

Justinvuong1: /* Example 2 */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

<math> W= 62.5 J </math>

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:29:19Z

Justinvuong1: /* Example 2 */

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m} -k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m} -5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:28:51Z

Justinvuong1:

This page will help students understand how to calculate the work done by a non constant force.

==The Main Idea==

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

This means that the work is equal to the integral of the function of the force with respect to the change in the objects position. This is also the same as the summation of the force on an object multiplied by the change in position.

===A Computational Model===

[[File:Screen Shot 2015-12-05 at 5.23.32 PM.png]]

This python code creates a ball with a force acting on it that changes with respect to time and it prints the total work at the end of the the loop that lasts while t is less than 10.
This uses the concept that work is equal to the summation of the force multiplied by the change in distance over that interval, which is an estimate for the integral of the force function over this distance.

==Examples==

===Example 1===
A box is pushed to the East, 5 meters by a force of 40 N, then it is pushed to the north 7 meters by a force of 60 N. Calculate the work done on the box.

<math> W = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 40N \bullet\ 5m + 60N \bullet\ 7m </math>

<math> W = 620 J </math>

===Example 2===
As a ball is attached to a spring and moves to the right. The ball moves 5 meters to the right and the spring constant of the spring is 5 N/m. How much work is done by the spring?

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

<math> F = -k \bullet\ r </math>

<math> W=\int\limits_{0}^{5m}\-k \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m}\-5 \bullet\ dr </math>

<math> W=\int\limits_{0}^{5m}\-5 \bullet\ dr </math>

<math> W=-5 ((5m^2)/2 - 0) </math>

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-05T23:18:52Z

Justinvuong1: /* Example 1 */

Work Done By A Nonconstant Force

2015-12-05T23:17:26Z

Justinvuong1:

Work Done By A Nonconstant Force

2015-12-05T23:15:09Z

Justinvuong1: /* Examples */

Work Done By A Nonconstant Force

2015-12-05T22:28:00Z

Justinvuong1: /* A Computational Model */

Work Done By A Nonconstant Force

2015-12-05T22:27:47Z

Justinvuong1: /* A Computational Model */

Work Done By A Nonconstant Force

2015-12-05T22:26:50Z

Justinvuong1: /* A Computational Model */

Work Done By A Nonconstant Force

2015-12-05T22:24:43Z

Justinvuong1: /* A Computational Model */

File:Screen Shot 2015-12-05 at 5.23.32 PM.png

2015-12-05T22:24:22Z

Justinvuong1:

Work Done By A Nonconstant Force

2015-12-04T21:42:36Z

Justinvuong1: /* A Computational Model */

Work Done By A Nonconstant Force

2015-12-04T21:42:05Z

Justinvuong1: /* A Computational Model */

Work Done By A Nonconstant Force

2015-12-04T21:41:16Z

Justinvuong1: /* A Computational Model */

Work Done By A Nonconstant Force

2015-12-04T21:24:55Z

Justinvuong1: /* A Mathematical Model */

Work Done By A Nonconstant Force

2015-12-04T21:22:42Z

Justinvuong1: /* A Mathematical Model */

Work Done By A Nonconstant Force

2015-12-04T21:22:19Z

Justinvuong1: /* A Mathematical Model */

Work Done By A Nonconstant Force

2015-12-04T21:20:09Z

Justinvuong1:

Work Done By A Nonconstant Force

2015-12-04T21:19:22Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} </math>

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:18:10Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

<math> W=\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx </math>

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:18:00Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:17:28Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===
<math> W=\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx <\math>

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:17:15Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:16:56Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

<math> W=\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx <math>

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:16:39Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

<math> W=\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:15:46Z

Justinvuong1: Undo revision 12568 by Justinvuong1 (talk)

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:14:57Z

Justinvuong1: /* A Mathematical Model */

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===
<math> W =\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr}

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:14:14Z

Justinvuong1:

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:14:02Z

Justinvuong1:

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

<math> W = \int\limits_{i}^{f}\ overrightarrow{F} \bullet \overrightarrow{dr}

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:13:41Z

Justinvuong1: Undo revision 12531 by Justinvuong1 (talk)

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

<math> W = \int\limits_{i}^{f}\ overrightarrow{F} \bullet \overrightarrow{dr}

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T21:12:27Z

Justinvuong1: /* A Mathematical Model */

Work Done By A Nonconstant Force

2015-12-04T21:03:40Z

Justinvuong1: /* A Mathematical Model */

Work Done By A Nonconstant Force

2015-12-04T21:01:27Z

Justinvuong1:

Work Done By A Nonconstant Force

2015-12-04T20:54:30Z

Justinvuong1:

When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

What are the mathematical equations that allow us to model this topic. For example <math>{\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===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Main Page

2015-12-04T20:51:17Z

Justinvuong1: /* Energy */

__NOTOC__
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!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

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.

== Source Material ==
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).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* 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]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
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.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Kinds of Matter]]
**[[Ball and Spring Model of Matter]]
*[[Detecting Interactions]]
*[[Fundamental Interactions]]
*[[Determinism]]
*[[System & Surroundings]]
*[[Free Body Diagram]]
*[[Newton's First Law of Motion]]
*[[Newton's Second Law of Motion]]
*[[Newton's Third Law of Motion]]
*[[Gravitational Force]]
*[[Electric Force]]
*[[Conservation of Energy]]
*[[Conservation of Charge]]
*[[Terminal Speed]]
*[[Simple Harmonic Motion]]
*[[Speed and Velocity]]
*[[Electric Polarization]]
*[[Perpetual Freefall (Orbit)]]
*[[2-Dimensional Motion]]
*[[Center of Mass]]
*[[Reaction Time]]
*[[Time Dilation]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Modeling with VPython===
<div class="mw-collapsible-content">
*[[VPython]]
*[[VPython basics]]
*[[VPython Common Errors and Troubleshooting]]
*[[VPython Functions]]
*[[VPython Lists]]
*[[VPython Multithreading]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Special Relativity]]
*[[Einstein's Theory of General Relativity]]
*[[Quantum Theory]]
*[[Maxwell's Electromagnetic Theory]]
*[[Atomic Theory]]
*[[String Theory]]
*[[Elementary Particles and Particle Physics Theory]]
*[[Law of Gravitation]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Notable Scientists===
<div class="mw-collapsible-content">
*[[Alexei Alexeyevich Abrikosov]]
*[[Christian Doppler]]
*[[Albert Einstein]]
*[[Ernest Rutherford]]
*[[Joseph Henry]]
*[[Michael Faraday]]
*[[J.J. Thomson]]
*[[James Maxwell]]
*[[Robert Hooke]]
*[[Carl Friedrich Gauss]]
*[[Nikola Tesla]]
*[[Andre Marie Ampere]]
*[[Sir Isaac Newton]]
*[[J. Robert Oppenheimer]]
*[[Oliver Heaviside]]
*[[Rosalind Franklin]]
*[[Erwin Schrödinger]]
*[[Enrico Fermi]]
*[[Robert J. Van de Graaff]]
*[[Charles de Coulomb]]
*[[Hans Christian Ørsted]]
*[[Philo Farnsworth]]
*[[Niels Bohr]]
*[[Georg Ohm]]
*[[Galileo Galilei]]
*[[Gustav Kirchhoff]]
*[[Max Planck]]
*[[Heinrich Hertz]]
*[[Edwin Hall]]
*[[James Watt]]
*[[Count Alessandro Volta]]
*[[Josiah Willard Gibbs]]
*[[Richard Phillips Feynman]]
*[[Sir David Brewster]]
*[[Daniel Bernoulli]]
*[[William Thomson]]
*[[Leonhard Euler]]
*[[Robert Fox Bacher]]
*[[Stephen Hawking]]
*[[Amedeo Avogadro]]
*[[Wilhelm Conrad Roentgen]]
*[[Pierre Laplace]]
*[[Thomas Edison]]
*[[Hendrik Lorentz]]
*[[Jean-Baptiste Biot]]
*[[Lise Meitner]]
*[[Lisa Randall]]
*[[Felix Savart]]
*[[Heinrich Lenz]]
*[[Max Born]]
*[[Archimedes]]
*[[Jean Baptiste Biot]]
*[[Carl Sagan]]
*[[Eugene Wigner]]
*[[Marie Curie]]
*[[Pierre Curie]]
*[[Werner Heisenberg]]
*[[Johannes Diderik van der Waals]]
*[[Louis de Broglie]]
*[[Aristotle]]
*[[Émilie du Châtelet]]
*[[Blaise Pascal]]
*[[Benjamin Franklin]]
*[[James Chadwick]]
*[[Henry Cavendish]]
*[[Thomas Young]]
*[[James Prescott Joule]]
*[[John Bardeen]]
*[[Leo Baekeland]]
*[[Alhazen]]
*[[Willebrod Snell]]
*[[Fritz Walther Meissner]]
*[[Johannes Kepler]]
*[[Johann Wilhelm Ritter]]
*[[Philipp Lenard]]
*[[Robert A. Millikan]]
*[[Joseph Louis Gay-Lussac]]
*[[Guglielmo Marconi]]
*[[Luis Walter Alvarez]]
*[[Robert Goddard]]
*[[Léon Foucault]]
*[[Henri Poincaré]]
*[[Steven Weinberg]]
*[[Arthur Compton]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Velocity]]
*[[Relative Velocity]]
*[[Density]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]
*[[Heat Capacity]]
*[[Specific Heat]]
*[[Wavelength]]
*[[Conductivity]]
*[[Malleability]]
*[[Weight]]
*[[Boiling Point]]
*[[Melting Point]]
*[[Inertia]]
*[[Non-Newtonian Fluids]]
*[[Color]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
* [[Hooke's Law]]
*[[Centripetal Force and Curving Motion]]
*[[Compression or Normal Force]]
* [[Length and Stiffness of an Interatomic Bond]]
* [[Speed of Sound in a Solid]]
* [[Iterative Prediction of Spring-Mass System]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* [[Conservation of Momentum]]
* [[Predicting Change in multiple dimensions]]
* [[Derivation of the Momentum Principle]]
* [[Momentum Principle]]
* [[Impulse Momentum]]
* [[Curving Motion]]
* [[Projectile Motion]]
* [[Multi-particle Analysis of Momentum]]
* [[Iterative Prediction]]
* [[Analytical Prediction]]
* [[Newton's Laws and Linear Momentum]]
* [[Net Force]]
* [[Center of Mass]]
* [[Momentum at High Speeds]]
* [[Change in Momentum in Time for Curving Motion]]
* [[Momentum with respect to external Forces]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Moment of Inertia for a ring]]
* [[Rotation]]
* [[Torque]]
* [[Systems with Zero Torque]]
* [[Systems with Nonzero Torque]]
* [[Right Hand Rule]]
* [[Angular Velocity]]
* [[Predicting the Position of a Rotating System]]
* [[Translational Angular Momentum]]
* [[The Angular Momentum Principle]]
* [[Angular Momentum of Multiparticle Systems]]
* [[Rotational Angular Momentum]]
* [[Total Angular Momentum]]
* [[Gyroscopes]]
* [[Angular Momentum Compared to Linear Momentum]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*[[The Photoelectric Effect]]
*[[Photons]]
*[[The Energy Principle]]
*[[Predicting Change]]
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
**[[Potential Energy for a Magnetic Dipole]]
**[[Potential Energy of a Multiparticle System]]
*[[Work]]
**[[Work Done By A Nonconstant Force]]
*[[Work and Energy for an Extended System]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
*[[Electric Potential]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Gravitational Potential Energy]]
*[[Point Particle Systems]]
*[[Real Systems]]
*[[Spring Potential Energy]]
**[[Ball and Spring Model]]
*[[Internal Energy]]
**[[Potential Energy of a Pair of Neutral Atoms]]
*[[Translational, Rotational and Vibrational Energy]]
*[[Franck-Hertz Experiment]]
*[[Power (Mechanical)]]
*[[Transformation of Energy]]

*[[Energy Graphs]]
**[[Energy graphs and the Bohr model]]
*[[Air Resistance]]
*[[Electronic Energy Levels]]
*[[Second Law of Thermodynamics and Entropy]]
*[[Specific Heat Capacity]]
*[[The Maxwell-Boltzmann Distribution]]
*[[Electronic Energy Levels and Photons]]
*[[Energy Density]]
*[[Bohr Model]]
*[[Quantized energy levels]]
**[[Spontaneous Photon Emission]]
*[[Path Independence of Electric Potential]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Collisions===
<div class="mw-collapsible-content">
*[[Collisions]]
*[[Maximally Inelastic Collision]]
*[[Elastic Collisions]]
*[[Inelastic Collisions]]
*[[Head-on Collision of Equal Masses]]
*[[Head-on Collision of Unequal Masses]]
*[[Frame of Reference]]
*[[Rutherford Experiment and Atomic Collisions]]
*[[Coefficient of Restitution]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Ring]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
** [[Charged Cylinder]]
** [[Charge Density]]
**[[A Solid Sphere Charged Throughout Its Volume]]
*[[Electric Potential]]
**[[Potential Difference Path Independence]]
**[[Potential Difference in a Uniform Field]]
**[[Potential Difference of point charge in a non-Uniform Field]]
**[[Sign of Potential Difference]]
**[[Potential Difference in an Insulator]]
**[[Energy Density and Electric Field]]
** [[Systems of Charged Objects]]
*[[Electric Force]]
*[[Polarization]]
**[[Polarization of an Atom]]
*[[Charge Motion in Metals]]
*[[Charge Transfer]]
*[[Magnetic Field]]
**[[Right-Hand Rule]]
**[[Direction of Magnetic Field]]
**[[Magnetic Field of a Long Straight Wire]]
**[[Magnetic Field of a Loop]]
**[[Magnetic Field of a Solenoid]]
**[[Bar Magnet]]
**[[Magnetic Dipole Moment]]
***[[Stern-Gerlach Experiment]]
**[[Magnetic Force]]
**[[Earth's Magnetic Field]]
**[[Atomic Structure of Magnets]]
*[[Combining Electric and Magnetic Forces]]
**[[Magnetic Torque]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Biot-Savart Law for Currents]]
**[[Integration Techniques for Magnetic Field]]
**[[Sparks in Air]]
**[[Motional Emf]]
**[[Detecting a Magnetic Field]]
**[[Moving Point Charge]]
**[[Non-Coulomb Electric Field]]
**[[Motors and Generators]]
**[[Solenoid Applications]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Charging and Discharging a Capacitor]]
*[[Thin and Thick Wires]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Resistivity]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
**[[AC]]
*[[Ohm's Law]]
*[[Series Circuits]]
*[[Parallel Circuits]]
*[[RC]]
*[[AC vs DC]]
*[[Charge in a RC Circuit]]
*[[Current in a RC circuit]]
*[[Circular Loop of Wire]]
*[[Current in a RL Circuit]]
*[[RL Circuit]]
*[[LC Circuit]]
*[[Surface Charge Distributions]]
*[[Feedback]]
*[[Transformers (Circuits)]]
*[[Resistors and Conductivity]]
*[[Semiconductor Devices]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
***[[Examples of Flux Through Surfaces and Objects]]
**[[Magnetic Fields]]
*[[Ampere's Law]]
**[[Magnetic Field of Coaxial Cable Using Ampere's Law]]
**[[Magnetic Field of a Long Thick Wire Using Ampere's Law]]
**[[Magnetic Field of a Toroid Using Ampere's Law]]
*[[Faraday's Law]]
**[[Curly Electric Fields]]
**[[Inductance]]
***[[Transformers (Physics)]]
***[[Energy Density]]
**[[Lenz's Law]]
***[[Lenz Effect and the Jumping Ring]]
**[[Lenz's Rule]]
**[[Motional Emf using Faraday's Law]]
*[[Ampere-Maxwell Law]]
*[[Superconductors]]
**[[Meissner effect]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
*[[Producing a Radiative Electric Field]]
*[[Sinusoidal Electromagnetic Radiaton]]
*[[Lenses]]
*[[Energy and Momentum Analysis in Radiation]]
**[[Poynting Vector]]
*[[Electromagnetic Propagation]]
**[[Wavelength and Frequency]]
*[[Snell's Law]]
*[[Effects of Radiation on Matter]]
*[[Light Propagation Through a Medium]]
*[[Light Scaterring: Why is the Sky Blue]]
*[[Light Refraction: Bending of light]]
*[[Cherenkov Radiation]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Sound===
<div class="mw-collapsible-content">
*[[Doppler Effect]]
*[[Nature, Behavior, and Properties of Sound]]
*[[Resonance]]
*[[Sound Barrier]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Waves===
<div class="mw-collapsible-content">
*[[Multisource Interference: Diffraction]]
*[[Standing waves]]
*[[Gravitational waves]]
*[[Plasma waves]]
*[[Wave-Particle Duality]]
*[[Electromagnetic Waves]]
*[[Electromagnetic Spectrum]]
*[[Color Light Wave]]
*[[Mechanical Waves]]
*[[Pendulum Motion]]
*[[Transverse and Longitudinal Waves]]
*[[Planck's Relation]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Real Life Applications of Electromagnetic Principles===
<div class="mw-collapsible-content">
*[[Electromagnetic Junkyard Cranes]]
*[[Maglev Trains]]
*[[Spark Plugs]]
*[[Metal Detectors]]
*[[Speakers]]
*[[Radios]]
*[[Ampullae of Lorenzini]]
*[[Electrocytes]]
*[[Generator]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Optics===
<div class="mw-collapsible-content">
*[[Mirrors]]
*[[Refraction]]
*[[Quantum Properties of Light]]
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* A page for review of [[Vectors]] and vector operations

Work Done By A Nonconstant Force

2015-12-04T20:47:34Z

Justinvuong1:

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

State, in your own words, the main idea for this topic

===A Mathematical Model===

What are the mathematical equations that allow us to model this topic. For example <math>{\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===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Claimed By Justin V.

Work Done By A Nonconstant Force

2015-12-04T20:47:04Z

Justinvuong1: Created page with "Short Description of Topic Contents [hide] 1 The Main Idea 1.1 A Mathematical Model 1.2 A Computational Model 2 Examples 2.1 Simple 2.2 Middling 2.3 Difficult 3 Connectednes..."

Short Description of Topic

Contents [hide]
1 The Main Idea
1.1 A Mathematical Model
1.2 A Computational Model
2 Examples
2.1 Simple
2.2 Middling
2.3 Difficult
3 Connectedness
4 History
5 See also
5.1 Further reading
5.2 External links
6 References
The Main Idea[edit]
State, in your own words, the main idea for this topic

A Mathematical Model[edit]
What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model[edit]
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples[edit]
Be sure to show all steps in your solution and include diagrams whenever possible

Simple[edit]
Middling[edit]
Difficult[edit]
Connectedness[edit]
How is this topic connected to something that you are interested in?
How is it connected to your major?
Is there an interesting industrial application?
History[edit]
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

See also[edit]
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading[edit]
Books, Articles or other print media on this topic

External links[edit]
[1]

References[edit]
This section contains the the references you used while writing this page

Claimed By Justin V.