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**1. Homework Statement**

Suppose you hold a small ball of mass m1 in contact with, and directly over, the center of mass of a large ball of mass m2. If you then drop the small ball a short time after dropping the large ball, the small ball rebounds with surprising speed. If we ignore air resistance and assume the large ball makes an elastic collision with the floor and then makes an elastic collision with the still descending small ball and that large ball has much larger mass than the small ball then:

a) If the velocity of the small ball immediately before the collision is v, what is the velocity of the large ball? (in terms of v)

b) What is the velocity of the small ball immediately after its collision with the large ball? (in terms of v)

c) What is the ratio of the small ball's rebound distance to the distance it fell before the collision? (a number)

**2. Homework Equations**

1/2mv^2 + mgh = 1/2mv^2 + mgh

Elastic collision: V1 = -V2

**3. The Attempt at a Solution**

a. -V

b. ?

c. ?