A satellite is revolving around the earth with a kinetic energy E . The minimum addition of kinetic energy needed to make it escape from its orbit is

Options

A. A)2E
B. B)`sqrt(E)`
C. C)`E//2`
D. D)E

Explanation

Kinetic energy of satellite in its orbit
`E=(1)/(2)mv_(o)^(2)`
or `E=(1)/(2)m((GM)/(r))=(GMm)/(2r)`
Kinetic energy at escape velocity
`E.=(1)/(2)mv_(e)^(2)`
`=(1)/(2)m((2GM)/(r))=(GMm)/(r)`
Therefore , additional kinetic energy required
`=2E-E=E`