А- R B
A small rock with mass
0.20 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 (Fig.). 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. (a) Between points A and B, how much work is done
on the rock by (i) the normal force and (ii) gravity? (b) What is the
speed of the rock as it reaches point B? (c) Of the three forces acting
on the rock as it slides down the bowl, which (if any) are constant and
which are not? Explain. (d) Just as the rock reaches point B, what is the
normal force on it due to the bottom of the bowl?
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