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A lauching vehicle carrying an artificial satellite of mass `m` is set for launch on the surface of the earth of mass `M` and radius `R`. If the satellite intended to move in a circular orbit of radius `7R`, the minimum energy required to be spent by the launching vehicle on the satellite isA. `(GMm)/(R )`B. `-(13 GM m)/(14R )`C. `(GMm)/(7R)`D. `(GMm)/(14R)` |
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Answer» Correct Answer - B The energy of artificial satellite at the surface of the earth `E_(1)=(GMm)/(R )` when the satellite is intended to move in a circular orbit of radius 7R then energy of artifical satellite `E_(2)=-1/2 (GMm)/(7R)` The minimum enegy required `E=E_(1)-E_(2)=-(GMm)/(R )+1/2(GMm)/(7R)` `=(-14GMm+GMm)/(14R)=(-13 G?Mm)/(14 R)` |
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