Problem: A tiny object of mass m is sliding around inside a pipe of inner radius  R. When we first see the object it is momentarily at rest halfway up the side of the pipe. A moment later, it is momentarily at rest at an angle θ < 90◦ from the vertical on the other side of the pipe. If a force of kinetic friction acted on the object as it slid, how much work did friction do in the time between the two instants of momentary rest?

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Problem Details

A tiny object of mass m is sliding around inside a pipe of inner radius  R. When we first see the object it is momentarily at rest halfway up the side of the pipe. A moment later, it is momentarily at rest at an angle θ < 90 from the vertical on the other side of the pipe.

If a force of kinetic friction acted on the object as it slid, how much work did friction do in the time between the two instants of momentary rest?

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