A cockroach of mass m lies on the rim of a uniform disk of mass 4.00m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.260 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach disk system? (b) What is the ratio K/K0 of the new kinetic energy of the system to its initial kinetic energy? (c) What accounts for the change in the kinetic energy?
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