5) A merry-go-round of radius R=2 m has a moment of inertia I=250 kgm2 and is rotating at 10 rev/min about a frictionless, vertical axle. A 25 kg child hops onto the merry-go- round and manages to sit down on the edge. a. Calculate the new angular speed of the merry-go-round around its axis. b. Calculate the centripetal force on the child. Is this force doing work? c. Indicate the direction of the centripetal acceleration