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A body is projected from the surface of earth with a speed V=2Ve where Ve is the escape velocity on the surface of earth. Then the speed the body in outer space is

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answer is 3.

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Detailed Solution

Conserving mechanical energy, 12mu2+-GMmR=12mv2+0⇒12m2.2GMR2-GMmR=12mv2⇒V2=4GMR-2GMR=2GMR⇒V=2GMR=Ve

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