Question

space station is set up in a 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 ν1and V2
​ be the escape velocities of the satellite on the earth's surface and space station, respectively. Then​

Answer 1

Answer:

for an object to escape from an orbit its total energy must be zero .

$for \: a \: space \: station \: : t \: . \: e \: = \frac{1}{2} mv \frac{2}{2} \: + ( \frac{gmm}{2r} ) = 0$

$= > \: _{v}(2) = \sqrt{gm} / r \: \: \: where\: \: r \: is \: the \: radius \: of \: earth$

$for \: earth \: surface \: : _{v}(1) \: = \sqrt{2gm} / r \:$

$hence _{v}(1) > _{v}(2)$