Conservation of Momentum in an Elastic Collision

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SUMMARY

The discussion focuses on the conservation of momentum in a totally elastic collision between two balls of equal mass. The key equations referenced are momentum (p = mv) and Newton's second law (F = ma), emphasizing that the initial momentum (p1i + p2i) equals the final momentum (p1f + p2f). In this scenario, the moving ball comes to a stop while the stationary ball takes on the total velocity of the moving ball, illustrating the principle of momentum conservation. The participants seek clarification on the mathematical representation and verbal explanation of these concepts.

PREREQUISITES
  • Understanding of momentum (p = mv)
  • Familiarity with Newton's second law (F = ma)
  • Knowledge of elastic collisions and their properties
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the principles of elastic and inelastic collisions
  • Learn about momentum conservation in multi-body collisions
  • Explore real-world applications of momentum conservation in sports physics
  • Investigate the mathematical derivation of collision equations
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum conservation in collisions.

mrhingle
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Work out in detail the situation in which a moving all collides with a stationary ball in a totally elastic collision. Assume the balls have the same mass when doing this calculation. How does conservation of momentum show itself in this situation?


p = mv F = ma p1i + p2i = p1f + p2f

I assume the ball in motion stops and the ball at rest assumes the total velocity? Don't know how to describe this mathematically. Don't really understand how to explain it verbally either. Just remember it from good ole' marbles.
 
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I assume the ball in motion stops and the ball at rest assumes the total velocity?

Yes.

p = mv F = ma p1i + p2i = p1f + p2f

I don't quite understand what you wrote down here.


Because it is an elastic collision momentum will be conserved. What does the formula for conservation of momentum look like? Which variables will be 0 (and there for contribute to 0 momentum) before and after the collision?
 

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