A 40 kg child stands on the edge of a rotating merry-go-round with a radius of 2m. The moment of inertia of the merry-go-round is 200 kg-m^2. The merry-go-round is rotating counterclockwise with an angular speed of 0.5 rad/sec. The child catches a ball of mass 2.0 kg. Thrown at her. The velocity of the ball just before it is caught is 15 m/sec. The ball makes an angle with 60 degrees with the tangent outer edge of the merry-go-round.
a. What is the energy loss during this process?
b. If the catch takes 0.4 seconds, find the average torque on the merry-go-round during the catch.