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Figure 10-81 shows an overhead view of a...

Figure 10-81 shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius `R_(2)` is 0.800 m, its inner radius `R_(1)" is "R_(2)//2.00`, its mass M is 6.00 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 = M/4.00 on its outer edge, at radius `R_(2)`. 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 `R_(1)`?

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