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A small rock with mass 0.14 is released from rest at point , which is at the top edge of a large, hemispherical bowl with radius = 0.52 (the figure ). Assume that the size of the rock is small compared to , so that the rock can be treated as a particle, and assume that the rock slides rather than rolls. The work done by friction on the rock when it moves from point to point at the bottom of the bowl has magnitude 0.22 .Just as the rock reaches point , what is the normal force on it due to the bottom of the bowl?

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