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1The figure below shows an overhead view of a ring that can rotate about its center...

1The figure below shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius R2 is 0.770 m, its inner radius R1 is R2/2.00, its mass M is 8.70 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 7.80 rad/s with a cat of mass m = M/4.00 on its outer edge, at radius R2. By how much does the cat increase the kinetic energy of the cat–ring system if the cat crawls to the inner edge, at radius R1?

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