A child weighing 31 kg stands on the edge of a stationary merry-go-round. The merry go round has a mass 103 kg and a radius 2.3 m. Take the x-axis to be the direction from the center of the merry-go-round to the child, and assume the child is small enough to be approximated as a point particle. (a) What is the moment of inertia of the unladen merry-go-round? I = A friend at a position f = 3.9 m * + 1.1 my tosses a baseball weighing 271 g to the child on the merry-go-round, who then catches the baseball when it has a speed 14 m/s. (b) What is the velocity of the baseball? V = * + (c) What is the angular momentum of the baseball as measured from the center of the merry-go-round? L = 0 kg m*2/= *+ 0 kg mi2/s 7 + 2 (d) After the baseball is caught, how fast does the merry-go-round spin (angular velocity)? ( =