Momentum with respect to external Forces: Difference between revisions

From Physics Book
Jump to navigation Jump to search
No edit summary
No edit summary
Line 7: Line 7:
==The Main Idea==
==The Main Idea==


omentum in an open system, is fundamentally different from  
Momentum in an open system, is fundamentally different from that within a closed system. No longer do individual elements of a system's momentum equal to each other symettrically to add up to 0, however, they will have to even out to the magnitude of the added Force.




===A Mathematical Model===
===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.
They equation expressing this idea is <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===
===A Computational Model===
Line 19: Line 19:


==Examples==
==Examples==
Standing on Earth, you throw a small rock with a mass of 0.5 kg into the air. At the instant it leaves your hand, the rock's velocity is <math> \vec{0.1,4.0,0.3} {m/s}<\math> Ignore air resistance.


Be sure to show all steps in your solution and include diagrams whenever possible
a. Initial Momentum?
 
<math>m=0.5, \vec{v}={0.1,4,0.3}, \vec{p}={0.05,2,0.15} {kgm/s} <\math>
===Simple===
===Middling===
===Difficult===


==Connectedness==
==Connectedness==

Revision as of 22:02, 6 December 2015

Claimed by vkt3

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

Momentum in an open system, is fundamentally different from that within a closed system. No longer do individual elements of a system's momentum equal to each other symettrically to add up to 0, however, they will have to even out to the magnitude of the added Force.


A Mathematical Model

They equation expressing this idea is [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

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

Standing on Earth, you throw a small rock with a mass of 0.5 kg into the air. At the instant it leaves your hand, the rock's velocity is <math> \vec{0.1,4.0,0.3} {m/s}<\math> Ignore air resistance.

a. Initial Momentum? <math>m=0.5, \vec{v}={0.1,4,0.3}, \vec{p}={0.05,2,0.15} {kgm/s} <\math>

Connectedness

  1. How is this topic connected to something that you are interested in?
  2. How is it connected to your major?
  3. 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

[1]


References

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

Retrieved from "http://www.physicsbook.gatech.edu/index.php?title=Momentum_with_respect_to_external_Forces&oldid=20261"