A playgorund carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders has a moment of inertia of 155 kg-m². A 30 kg girl is standing at 0.25 m from the center, and the carousel has an angular velocity of 0.632 rad/s. The girl moves outward to a point located 1.512 m from the center. a. Find the initial combined angular momentum of the carousel and girl. b. Find the angular velocity of the carousel when the girl has reached the larger radius. c. Find the change in rotational kinetic energy of the carousel with the girl. d. Explain the source of the work to cause the change in kinetic energy.

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