A sphere is moving with speed v as shown, and it impacts the inclined face of a wedge. The sphere's mass is m and the wedge's mass is Lm, where L is a constant. The wedge is initially at rest and is free to move horizontally without friction. After the impact, the sphere moves vertically upward.
a. Determine the wedge angle, theta, as a function of L and e, the sphere's coefficient of restitution.
b. Compute the kinetic energy change, DeltaT. Your answer should depend only on e, m, and v.