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. `E_(k)`
B. `E_(k)//2`
C. `E_(k)//4`
D. `2E_(k)`

Answer

A

Explanation

Total Mechanical energy=-(kinetic energy)
`:. TME=-E_(k)`
for escape, TME=0
i.e. if, `E_(k)` is provided then TME becomes zero.
Hence, the minimum amount of energy that is added so that it escapes the earth's gravitational field is `E_(k)`