How is momentum conserved when the big rolling ball hits the smaller rolling ball? Momentum is not conserved when the two balls collide. The big ball transfers some of its momentum to the small ball, but it keeps going forward, too. The big ball gives all of its momentum to the small ball. The small ball had no momentum before the collision, and afterward it has all the momentum.
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Step 1: **Understand the Principle of Conservation of Momentum** The law of conservation of momentum states that in a closed system with no external forces, the total momentum before a collision is equal to the total momentum after the collision. Show more…
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Babita K.
Suppose you hold a small ball in contact with, and directly over, the center of a large ball. If you then drop the small ball a short time after dropping the large ball, the small ball rebounds with surprising speed. To show the extreme case, ignore air resistance and suppose the large ball makes an elastic collision with the floor and then rebounds to make an elastic collision with the still-descending small. Just before the collision between the two balls, the large ball is moving upward with velocity $\vec{\boldsymbol{v}}$ and the small ball has velocity $-\vec{\boldsymbol{v}}$ . (Do you see why? $)$ Assume the large ball has a much greater mass than the small ball. (a) What is the velocity of the small ball immediately after its collision with the large ball? (b) From the answer to part (a), what is the ratio of the small ball's rebound distance to the distance it fell before the collision?
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