A very low friction merry-go-round (rotating platform) with a radius of 1.5 m and moment of inertia of 50 kgm2 is rotating at 10 rev/min. A child with a mass of 20 kg initially sits 1 m from the center, and then moves outward toward the edge of the platform. Which quantities are conserved in this scenario?

I. Angular Momentum

II. Rotational Kinetic Energy

III. Angular velocity