In a playground, there is a small merry-go-round of radius 1.20 m and mass 220 kg. Its radius of gyration is 91. (Radius of gyration k is defined by...

In a playground, there is a small merry-go-round of radius 1.20 m and mass 220 kg. Its radius of gyration is 91.0 cm. (Radius of gyration k is defined by the expression I=Mk2.) A child of mass 44.0 kg runs at a speed of 2.00 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate

(a) the rotational inertia of the merry-go-round about its axis of rotationkg·m2(b) the magnitude of the angular momentum of the child, while running, about the axis of rotation of the merry-go-round andkg·m2/s(c) the angular speed of the merry-go-round and child after the child has jumped on.rad/s