A satellite of a mass `m` orbits the earth at a hight `h` above the surface of the earth. How much energy must be expended to rocket the satellite out of earth's gravitational influence? (where `M_(E)` and `R_(E)` be mass and radius of the earth respectively)

Options

A. `(GM_E m)/(4 (R_E +h))`
B. `(GM_E m)/(2(R_E + h))`
C. `(GM_E m)/((R_E + h))`
D. `(2GM_Em)/((R_E + h)`

Answer

B

Explanation

`(GM_E m)/(2(R_E + h))`