Problem 7. Two identical masses are in a hemispherical bowl of radius R. One block is sitting at the bottom and the other is at the top. The top block

is released from rest and they collide. (a) If they stick together (a perfectly inelastic collision), how high will they rise above the bottom of the bowl? (b) If they do not stick but rather have an elastic collision, how high will each of them rise?Hint: the algebra may be tricky. It will be useful to square the equation describing conservation of linear momentum.