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Question

The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above earth atmosphere is ___ .

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Solution

K.E. required for satellite to escape from earth's gravitational field 12mv2e=12m(2GMR)2=GMmR
K.E. required for satellite to move in circular orbit
12mv20=12m(GMR)2=GMm2R
The ratio between these two energies=2


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