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A body is released from a height 5R wher...

A body is released from a height `5R` where `R` is the radius of the earth. Then that body reaches the ground with a velocity equal to

A

`sqrt((5gR)/3)`

B

`sqrt((3gR)/5)`

C

`sqrt(5gR)`

D

`sqrt(3gR)`

Text Solution

Verified by Experts

The correct Answer is:
A
From conservation of energy `(P.E.+K.E.)` on the surface of the earth `=P.E.` at height `5R`
`-(GMm)/R+1/2mv^(2)=(-GMm)/((R+5R))rArr v=sqrt((5gR)/3)`
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