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Q.

A statellite of mass 1000 kg is rotating around the earth in a circular orbit of radius 3R. The extra energy should be given to this satellite if it is to be lifted into an orbit of radius 4R is _____×109J.

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answer is 2.64.

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Detailed Solution

Energy required = =(TE)f−(T.E)i

=(−GMm2(4R))−(−GMm2(3R))=−GMm8R+GMm6R

=GMm24R(4−3)=GMm24R=GMmR24R2=mgR24

=[9.8×(6400×103)×100024]=2.614×109J

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