Your 3-digit L1 (20 points) A woman of mass 57 kg rock physID number: stands on the edge of a frictionless merry-go-round of mass 9/ kg and radius 3.2 m that is not woman moving. She throws a 4.3 kg rock in a horizontal direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground is 5.1 "/. Treat the merry-go-round as a uniform solid disk. (a) What is the magnitude of the angular momentum of the rock with respect View from above to the center of the merry-go-round? (4 pts) (b) Calculate the angular speed of the merry-go-round (with the woman on it) after the rock is thrown. (6 pts) A friend throws the same rock back, with the same speed, in exactly the opposite direction, and the woman catches it exactly at the moment she completes one revolution. (c) Calculate the new angular speed of the merry-go-round (with the woman and the rock on it) after the rock is caught. (8 pts) (d) Calculate the linear speed of the woman after the rock is caught. (2 pts)