A small rock with mass 0.26 kg is released from rest at point A, which is at the

Question

A small rock with mass 0.26 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 0.50 m (the figure 1). Assume that the size of the rock is small compared to R, 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 A to point B at the bottom of the bowl has magnitude 0.22 J. Part B Between point A and B, how much work is done on the rock by gravity? Part C What is the speed of the rock as it reaches point B? Part D Of the three forces acting on the rock as it slides down the bowl, which (if any) are constant and which are not? Explain.

Explanation / Answer

The only constant force in this situation is the gravitational force or the weight of the rock which always acts vertically downward with a magnitude of mg. The other forces like the normal reaction depends on the angle that the rock has slid through and also the instantaneous velocity of the rock which keeps on changing with the vertical height. Since frictional froces depend on the normal reaction, so they aren't constant either. Similarely as discussed above, since the velocity changes, the centripetal force towards the center also changes.

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