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A satellite revolving close to earth has...

A satellite revolving close to earth has a K.E., E. What energy should be given to it so make it escape the gravitational pull of earth?

A

`(E )/(2)`

B

`E`

C

`(E )/(sqrt(2))`

D

`2 E`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy of satellite when revolving close to earth is `E=(1)/(2)mv_(0)^(2)` and energy required to escape the gravitational pull is
`E.=(1)/(2)mv_(e )^(2)=(1)/(2)m(sqrt(2)v_(0))^(2)=2((1)/(2)mv_(0)^(2))`
`therefore E.=2E`
`therefore ` Additional energy to be given
`=E.-E=2E-E=E`
Thus correct choice is (b).
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