A satellite with kinetic energy `E_(k)` is revolving round the earth in a circular orbit. How much more kinetic energy should be given to it so that it may just escape into outer space

Options

A. `2E_(K)`
B. `3E_(k)`
C. `E_(K)`
D. `E_(K//2)`

Answer

C

Explanation

`K.E.=(1)/(2)mV_(0)^(2), K.E.` for escape `=(1)/(2)mV_(e)^(2)`
`=(1)/(2)m(sqrt(2)V_(0))^(2)=2((1)/(2)mV_(0)^(2))`