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A bug slides back and forth in a bowl 11cm deep starting from rest at the...

A bug slides back and forth in a bowl 11cm deep starting from rest at the top. The bowl is frictionless except for a 1.5cm wide sticky patch on its flat bottom, where the coefficient of kinetic friction is 0.61.

a. Write the kinetic energy of the bug when it first arrives at the sticky patch, in terms of mbug.

b. Write an expression for the work done by friction as the bug moves across the sticky patch in terms of the bug's mass, mbug.

c. Calculate how many times the bug crosses the sticky patch before finally coming to a rest, permanently.

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