Two masses (M, m) slide without friction (under the influence of a uniform gravitational field g) down the sides of a hemisperical bowl. They each start with zero velocity at the lip of the bowl, which is a height h above the bottom.

(1 point) (a) What is the total kinetic energy when the masses first touch (assume the size of the masses is much less than h)?

(2 points) (b) How high will the masses move if the collision is completely inelastic (i.e. they stick together)?

(2 points) (c) Assuming that the collision between the masses is elastic, what is the maximum height that mass m will achieve?