A sphere rolls down the loop-the-loop track shown in Figure P9.21, starting from rest at a height

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A sphere rolls down the loop-the-loop track shown in Figure P9.21, starting from rest at a height h above the bottom. The ball travels around the inside of the circular portion of the track (radius r = 5.0 m). It is found that the ball is just barely able to travel around the inside of the track without losing contact at the top. Find h.

Figure P9.21

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