A particle of mass m is taken very slowly from point A to B as shown. Work done by external agent is
equal to
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Answer:
For, h<<R force is constant and is equal to mg
Therefore, work done is mgh in moving by distance h
For, h=R
gravitational potential at x is −
x
GM
Work done in moving from x=R to x=2R is −
2R
GMm
+
R
GMm
=
2R
GMm
which is equal to
2
1
mgR.
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