Momentum with respect to external Forces: Difference between revisions

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==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===
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==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 21:02, 6 December 2015

Claimed by vkt3

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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

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See also

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Further reading

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External links

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References

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