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Question

A satellite of mass 1000 kg is rotating around the earth in a circular orbit of radius 3R. What extra energy should be given to this satellite, if it is to be lifted into an orbit of radius 4R?


A
6.4×109 J
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B
4.8×109 J
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C
2.7×109 J
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D
3.9×109 J
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Solution

The correct option is B 2.7×109 J

Total energy,  T.E=GmM2R
Initial total energy at 3R, T.Ei =GmM6R....(1)
Final total energy at 4R, T.Ef =GmM8R........(2)
ΔE=T.EfT.Ei=GmM8R+GmM6R
ΔE=GMm24R=gR24
Substituting the values,
g=10 ms2,R=6400 km,m=1000 kg
ΔE=2.7×109J

 

Physics

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