Figure shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius R2 is 0.800 m, its inner radius R1 is R2/2.00, its mass M is 8.00 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 8.00 rad/s with a cat of mass m = M14.00 on its outer edge, at radius R2. By how much does the cat increase the kinetic energy of the cat- system if the cat crawls to the inner edge, at radius R1?

R, R2