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Question: If \(v _ { e }\) and \(v _ { o }\) represent the escape velocity and orbital velocity of a satelli...

If vev _ { e } and vov _ { o } represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then

A

ve=vov _ { e } = v _ { o }

B

2vo=ve\sqrt { 2 } v _ { o } = v _ { e }

C

ve=v0/2v _ { e } = v _ { 0 } / \sqrt { 2 }

D

vev _ { e } and vov _ { o } are not related

Answer

2vo=ve\sqrt { 2 } v _ { o } = v _ { e }

Explanation

Solution

ve=2gRv _ { e } = \sqrt { 2 g R } and