Question about momentum depending if the collision is elastic or not?

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SUMMARY

The discussion centers on the relationship between momentum and the type of collision—elastic or inelastic. It is established that momentum is conserved in both types of collisions, provided external forces are negligible. The coefficient of restitution, denoted as 'e', plays a crucial role in determining the velocities post-collision, with 'e' equal to 1 for elastic collisions and 0 for perfectly inelastic collisions. The equation Vb' - Va' = e * (Va - Vb) illustrates this relationship, emphasizing that while momentum remains constant, the kinetic energy may vary depending on the collision type.

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Question about momentum depending if the collision is elastic or not??

Homework Statement



Im writing up a lab, and there is something I can seem to get. Does the change in momentum depend on whether the collision is elastic or not? I know it does, but HOW?

For example collision of 2 carts, 1) collision with velcro on each cart, 2) attracting magnets on each cart 3) repeling magnets on each cart)

Is it reasonable to take as an approximation that the linear momentum of a system of collising macroscopic objects is conserved?

Thanks for any help!


Homework Equations





The Attempt at a Solution

 
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When the collision is not an elastic one, there is a coefficient of restitution that comes into consideration. It takes on values between 0 and 1. It is one for an elastic collision. It is 0 for an inelastic collision.

In general:

Vb' - Va' = e * (Va - Vb)

where primes denote relative velocity after impact of two objects. e is the coefficient of restitution.
 


Momentum does not change, as long as external forces are not present (or negligible). It does not matter whether the collision is elastic or not.
 

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