Detecting Interactions: Difference between revisions

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Claimed by Kristen Sparks
Claimed by Kristen Sparks
This topic covers Gravitational Potential Energy.


==The Main Idea==
==Detecting Interactions==


State, in your own words, the main idea for this topic
Detecting whether an interaction has taken place is a simple, yet fundamental, skill necessary to the analysis of any physics problem. The importance of this skill will especially be seen when working with problems that call for the identification of multiple forces acting on a system.
Electric Field of Capacitor


===A Mathematical Model===
===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.
There are two main conditions that, if observed, would allow one to conclude that an interaction has taken place: change in direction or change in speed. Since velocity consists of both speed and direction, an observed change in velocity would indicate the existence of an interaction.


===A Computational Model===
Since a change in velocity also indicates a change in momentum, we can apply the Momentum Principle to this situation as demonstrated here:


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]
'''No Net Interaction'''


==Examples==
<math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} = 0</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.
 
'''Nonzero Net Interaction'''
 
<math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} ≠ 0</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.


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


===Simple===
Detection an interaction is often the first step to trying to troubleshoot VPython code. If you're trying to model a net force acting on an object, but you do not see that object changing in speed or direction, then there is likely an issue with your force equations, momentum update, or position update. Instead of qualitatively looking for such an interaction, one can also add a "print" command within a "while" loop to check for changes in velocity or momentum. This will, however, slow down the code, so make sure to delete the print command from the while loop when finished troubleshooting.
===Middling===
===Difficult===


==Connectedness==
==Examples==
#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?


===Change in direction===
[[File:Change_of_direction.jpg]]
===Change in speed===
[[File:Change_of_speed.jpg]]
===Uniform motion (no net interaction)===
[[File:Uniform_motion.jpg]]
==History==
==History==


Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
Isaac Newton summarized the relationship between a change in velocity and the presence of an interaction in his First Law of Motion, which says that, when viewed in an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.


== See also ==
== 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?
Speed and Velocity [http://www.physicsbook.gatech.edu/Speed_and_Velocity]
 
Momentum Principle [http://www.physicsbook.gatech.edu/Momentum_Principle]
===Further reading===
VPython Animation [http://www.physicsbook.gatech.edu/VPython_Animation] (for those having trouble modeling interactions in VPython)
 
Books, Articles or other print media on this topic


===External links===
===External links===


Internet resources on this topic
Newton's laws of motion (Wikipedia) [https://en.wikipedia.org/wiki/Newton%27s_laws_of_motion]


==References==
==References==


This section contains the the references you used while writing this page
Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Wiley. ISBN: 978-1118875865


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

Latest revision as of 23:57, 17 April 2016

Claimed by Yahia Ali (Spring 2016)

Claimed by Kristen Sparks

Detecting Interactions

Detecting whether an interaction has taken place is a simple, yet fundamental, skill necessary to the analysis of any physics problem. The importance of this skill will especially be seen when working with problems that call for the identification of multiple forces acting on a system.

Mathematical Model

There are two main conditions that, if observed, would allow one to conclude that an interaction has taken place: change in direction or change in speed. Since velocity consists of both speed and direction, an observed change in velocity would indicate the existence of an interaction.

Since a change in velocity also indicates a change in momentum, we can apply the Momentum Principle to this situation as demonstrated here:

No Net Interaction

[math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} = 0 }[/math] where p is the momentum of the system and F is the net force from the surroundings.

Nonzero Net Interaction

[math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} ≠ 0 }[/math] where p is the momentum of the system and F is the net force from the surroundings.

Application in VPython

Detection an interaction is often the first step to trying to troubleshoot VPython code. If you're trying to model a net force acting on an object, but you do not see that object changing in speed or direction, then there is likely an issue with your force equations, momentum update, or position update. Instead of qualitatively looking for such an interaction, one can also add a "print" command within a "while" loop to check for changes in velocity or momentum. This will, however, slow down the code, so make sure to delete the print command from the while loop when finished troubleshooting.

Examples

Change in direction

Change in speed

Uniform motion (no net interaction)

History

Isaac Newton summarized the relationship between a change in velocity and the presence of an interaction in his First Law of Motion, which says that, when viewed in an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.

See also

Speed and Velocity [1] Momentum Principle [2] VPython Animation [3] (for those having trouble modeling interactions in VPython)

External links

Newton's laws of motion (Wikipedia) [4]

References

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Wiley. ISBN: 978-1118875865