In order to shift a body of mass m from a circular orbit of radius 3R to a higher orbit of radius 5R around the earth, the work done is
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Given:
The radius of circular orbit 3R and 5R
The mass of earth M
The mass of satellite m
To find:
The work done by the body.
Solution:
The formula of potential energy
V= -GMm/r
Now the work done by the body
W= final potential energy - initial potential energy.
W=-GMm/5r-(-GMm/3r)
W=GMm/3r-GMm/5r
W=GMm/r(1/3-1/5)
W=2GMm/15r.
The work done is 2GMm/15r
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