A 25 kg child stands 2.5 m from the center of a frictionless merry‐go‐round, which has a 200 kg*m^2 moment of inertia and is spi
nning with one revolution every two seconds. The child then moves inward to a radius of 1.5 m. a) What is the initial angular velocity of the merry‐go‐round? b) What is the new angular velocity of the merry‐go‐round, after the child moves?
c) By how much did the kinetic energy of the merry‐go‐round increase? Where did this energy come from?