b) The height of the body moves away from the surface of the earth.
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Answer:
From work-energy theorem, work done = change in potential energy.
Work done = ∫
R
3R
x
2
GmM
dx=
3R
2GmM
=
3
2mgR
.
Please note that the gravitational force will necessarily vary over this height because it is comparable with earth's radius.
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