Questions
A satellite of mass m is orbiting the earth at a height H from its surface. If M be the mass of earth and R, its radius, then the energy required to pull the satellite from earth's gravitational field will be
detailed solution
Correct option is A
Distance of the satellite from the centre of earthr=(R+h)∴ mv2(R+h)=GmM(R+h)2 or 12mv2=GMm2(R+h)or K.E.=GMm2(R+h) P.E. =−GmMr=−GmM(R+h)Total energy = K.E. + P.E.=GmM2(R+h)−GmM(R+h)=−GmM2(R+h)So, energy needed = [GmM/2(R+h)]Talk to our academic expert!
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