A kid of mass 20 kg is at rest on the edge of a merry-go-around (M = 100 kg, R = 1.5 m) rotating in a horizontal plane around the vertical axis through its center. The merry-go-around is rotating at 3.0 rad/s. The kid crawls to the center of the merry-go-around. (The moment of inertia for the merry-go- around is %MR2.) A. (5 pts) What is the new angular velocity of the merry-go-around? B. (10 pts) What is the change in the kinetic energy of the system? C. (10 pts) If the kid crawls back to the outer edge of the merry-go-around, what is the angular velocity then