Hand written solution required

Question 6 0 / 1 pts A 60 kg disk with a radius of 4.0 m is spinning on a a frictionless pedestal with a 5 kg dog standing 1 m from the edge. At this point the dog is traveling at 9.0 m/s. The dog walks to a position 2 m from the center. What is the new angular velocity of the dog disk system? (1disk=1/2 mr2 ; Idog = mr2)Question 5 0 / 2 pts A 50 kg metal disk with a radius of 0.75m is floating in space not rotating. A 75kg astronaut with a radius of 0.95m then turns the disk increasing it's angular velocity to 2.5 rad/s. What is the angular velocity of the astronaut after turning the disk? (Idisk = 1/2mr ; Iperson = 1/12mr?)