Amplified Rebound Height Two small rubber balls are dropped from rest at a height h above...

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 upwardwith a speed v 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, and assume the balls collide at ground level.)

Problem

Consider a one-dimensional, head-on elastic collision. One object has a mass m1 arid an initial velocity v1 the other has a mass m2 and an initial velocity v2. Use momentum conservation and energy conservation to show that the final velocities of the two masses are