11259 4H7El ?9%l ' piazzacom (9) [7 points] A child of mass M stands on a playground merry-goround1 that is at rest. The moment of inertia of the merry-go-round is I and has radius R. The child stands partway to the edge of the merry-go-round from the center (you may take them as a point mass for estimation). The child throws a block of mass m at speed 17 at an angle of 6' as defined in the diagram. Assume frictionless rotation of the merrygoround. (a) Use conservation of angular momentum to find an expression for the time it takes the merry go-round to make one revolution. (b) Calculate the rotation period using] 2 80 kg m2, M = 35 kg, r = 1.2 m, m = 1.2 kg, 17 = 4.0 m/s, and 6 = 30. OPTIONAL: no extra points, just extra thinking for personal satisfaction: (c) The child is disappointed with how fast the merrygoround is spinning. They can't throw the block any faster. What changes do you recommend for the child to get maximum rotational enjoyment