A ball of mass M = 5 kg is dropped from a height H = 50 cm. The ball slides along a circular path AB with negligible friction, until it collides with a ball of mass m = 10 kg, which is at rest. If the ball of mass M rebounds with a speed equal to one third of the speed it had immediately before the collision, determine:

a) The speed of the ball of mass m immediately after the collision.

b) The maximum height that the ball of mass M reaches until it stops on the circular Surface.