A cockroach of mass m lies on the rim of a uniform disk of, Physics

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A cockroach of mass m lies on the rim of a uniform disk of

A cockroach of mass m lies on the rim of a uniform disk of mass4.0m that can rotate freely about its center like a merry-go-round.Initially the cockroach and disk rotate together with an angularvelocity of .260 rad/s. Then the cockroach walks halfway to thecenter of the disk. (a) What then is the angular velocity of thecockroach-disk system? (b) What is the ratio K/Ko of the newkinetic energy of the system to its initial kinetic energy? (c)What accounts for the change in the kinetic energy?

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