Conservation of Momentum in Elastic Collisions

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In an elastic collision involving two balls, one with mass m1 and velocity v1 collides with a second ball of mass 20m1, initially at rest. Using the conservation of momentum, if the first ball rebounds with a velocity of -v1, the velocity of the second ball can be calculated. Assuming both balls move along the same line, the velocity of the second ball (m2) after the collision is v2 = v1/10. The discussion emphasizes the importance of direction in determining the final velocities. Accurate application of conservation principles is crucial for solving such problems.
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If a ball has a mass of m1 and a velocity of v1, and collides with a second ball with a mass of 20 times m1 (m2=20xm1) and m1 rebound with a velocity of –v1 and is the velocity of m2?
and m2 velocity is 0 before impact
 
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Just use conservation of momentum. Be careful of one thing - are you assuming that the directions after collision are along the same line as that before? Otherwise the problem statement is incomplete. If along line, then v2=v1/10.
 

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