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

The figure shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius R2 is 1.0 m, its inner radius R1 is R2/2, its mass M is 7.9 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 7.3 rad/s with a cat of mass m = M/4 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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