A boy is playing at the park and pushing on a 500.0 kg merry-go-round with a radius of 1.50 m from rest. He applies a force of 100.0 N at the edge of the merry-go-round at 90.0^o to the radius.

A. Calculate the torque being applied to the merry-go-round.

B. Determine the moment of inertia of the merry-go-round if it can be modeled as a thin uniform disk.

C. Calculate the angular acceleration of the merry-go-round.

D. The boy applies a constant force for 10.0 s. What is the final velocity of the merry-go-round?