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Binding Energy

a satellite r...

Question

a satellite revolves around the earth of radius R in a circular orbit of radius 3R.the % of increase in energy required to lift it to an orbit of radius 5R

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Solution

energy of satellite in the first case
E1=GMm/3R
energy in the second case is
E2=GMm/5R
ΔE=GMm/R(1/3−1/5)
=GMm/R(2/15)
% increase =∆E/E1×100
=2GMm/15R/GMm/3R
=6/15×100=40%

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