Chapter 9, Problem 86GP

Amplified Rebound Height Two small rubber balls are dropped from rest at a height h above a hard floor When the balls are released, the lighter ball (with mass m) is directly above the heavier ball (with mass M) Assume the heavier ball reaches the floor first and bounces elastically, thus, when the balls collide, the ball of mass M is moving upward with a speed u and the ball of mass m is moving downward with essentially the same speed. In terms of h find the height to which the ball of mass m rises after the collision (Use the results given in Problem 83, and assume the balls collide at ground level.)