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Question: A Geostationary satellite is revolving around the earth. To make it escape from gravitational field ...

A Geostationary satellite is revolving around the earth. To make it escape from gravitational field of earth, its velocity must be increased –

A

100 %

B

41.4%

C

50%

D

59.6%

Answer

41.4%

Explanation

Solution

ve = 2v0\sqrt{2}v_{0}= 1.414 v0 % increase in orbital velocity = v0v0v0×100\frac{v_{0}–v_{0}}{v_{0}} \times 100= 41.4 %