Solved: You push an object of mass m slowly, partway up a loop-the-loop track of radius

Chapter 6, Problem 84

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You push an object of mass m slowly, partway up a loop-the-loop track of radius R, starting from the bottom, and ending at a height h 6 R above the bottom. The coefficient of friction between the object and the track is a constant m. Show that the work you do against friction is mmg22hR - h2 .

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