Head-on Collision of Equal Masses: Difference between revisions
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==Main Idea== | ==Main Idea== | ||
A collision is a brief interaction between large forces. A head-on collision can be between two carts rolling or sliding on a track with low fricton or billiard balls, hockey pucks, or vehicles hitting each other head-on. | |||
In terms of the two carts of equal masses example, the two carts are the system. The Momentum Principle tells us that after the collision the total final ''x'' momentum ''p<sub>1xf</sub>'' + ''p<sub>2xf</sub>'' must equal the initial total ''x'' momentum ''p<sub>1xi</sub>''. Before the collision, nonzero energy terms included the kinetic energy of cart 1, ''K<sub>1i</sub>'', and the internal energies of both carts. After the collision there is internal energy of both carts and kinetic energy of both carts, ''K<sub>1f</sub>'' + ''K<sub>2f</sub>''. | |||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
Revision as of 15:48, 1 December 2015
Work in progress by mtikhonovsky3
Main Idea
A collision is a brief interaction between large forces. A head-on collision can be between two carts rolling or sliding on a track with low fricton or billiard balls, hockey pucks, or vehicles hitting each other head-on.
In terms of the two carts of equal masses example, the two carts are the system. The Momentum Principle tells us that after the collision the total final x momentum p1xf + p2xf must equal the initial total x momentum p1xi. Before the collision, nonzero energy terms included the kinetic energy of cart 1, K1i, and the internal energies of both carts. After the collision there is internal energy of both carts and kinetic energy of both carts, K1f + K2f.
A Mathematical Model
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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Examples
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