A space station is set up in space at a distance equal to the earth's radius from the surface of the earth. Suppose a satellite can be launched from the space station. Let `v_(1)` and `v_(2)` be the escape velocities of the satellite on the earth's surface and space station, respectively. Then

Options

A. `v_(2)=v_(1)`
B. `v_(2)ltv_(1)`
C. `v_(2)gtv_(1)`
D. `1,2` and `3` are valid depending on the mass of satellite.

Answer

B

Explanation

From the surface of the earth Escape velocity `v_(1)=sqrt((2GM)/R)`
`1/2mv_(2)^(2)-(GMm)/(2R)=0`