Consider a merry-go-round in the shape of a uniform disc of mass 400 kg and radius 3 m. Two children each of mass 20 kg sit on the edge of the merry-go-round. A person pushes on the edge of the merry-go-round at an angle of 70 to the radial direction (20 with respect to the tangential direction.). What is the magnitude of the constant force that this must person apply to accelerate the merry-go-round from rest to an angular speed of 0.8 rad/s in a time of 2.5 seconds?