A space station is constructed in the shape of a hollow ring of mass 6.00 x 10^4 kg and radius 130 m. The station has 200 crew members (each with average mass 80 kg), who can walk on a deck formed by the inner surface of the outer cylindrical wall of the ring. Artificial gravity is produced when the ring rotates (that is, the crew members experience a normal force from the floor pushing them inward).

a)Assume the station is initially not rotating, the entire mass of the space station is concentrated on the outer ring, and that the crew is initially on the outer rim. Rockets on the outside are fired tangentially to get the station spinning. What is the total angular momentum of the space station (plus crew) when its up to max speed?

b) how much work is done to get the space station spinning?

c) how long must the rockets be fired if there are 6 rockets, and each exerts a thrust of 175 N?

d) the rockets are no longer thrusting. the entire crew moves to the very center of the space station. What acceleration does an an experience on the outer rim?