A 24.5-kg child is standing on the outer edge of a horizontal merry-go-round that has a moment of inertia of about a vertical axis through its center and a radius of 2.50 m. The entire system (including the child) is initially rotating at 0.180 rev/s. A. What is the moment of inertia of the child + merry go round when standing at the edge? (Consider the child to be a point mass with moment of inertia I = mr2) B. What is the moment of inertial of the child + merry go round when standing 1 m from the axis of rotation? C. Find the angular velocity if the child moves to a new position 1 m from the center of the merry-go-round. D. What is the change in rotational kinetic energy between the edge and 2.40 m distance?