A cockroach of mass m lies on the rim of a uniform disk of mass 4m that can freely rotate 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 is the new 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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