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Questions  

The minimum energy required to launch a m kg satellite from the Earth's surface in a circular orbit at altitude 2R, where R is the radius of earth is

a
53mgR
b
43mgR
c
56mgR
d
54mgR

detailed solution

Correct option is C

Total energy, E=12mv2−GmMr=GmM2r−GMmr=−GmM2rr=2R=R=3RE=GmM6R Potential energy =−GMmR Minimum energy required =16GMmR−−GMmR=56GMmR                                             =56mgR

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