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7.9 - CP A small rock with mass Figure E7.9
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. E7.9). Assume that the
size of the rock is small com-
pared 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?
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Answer:
no work done by
Explanation:
Between points A and B, how much work is done on the rock by the normal force?
-There is no work done by the normal force because all of the work is being done by gravity.
W=0J
Between points A and B, how much work is done on the rock by gravity?
-Work done by gravity is just the gravitational potential energy lost by moving in the vertical direction, so you use the equation Wg=mgh. In this case, h is just the radius so I'll sub that instead
Wg=mgR
Wg=(.26)*(9.8)*(.50)
Wg=1.274 J
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