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Gravitaional potential energy
Question

A space station is set up in space at a distance equal to earth’s radius from earth’s surface. Suppose a satellite can be launched from space station. Let V1 and V2 be the escape velocites of the satellite on earth’s surface and space station respectively. Then

Easy
Solution

\large \fn_cm \large V_1=\sqrt{\frac{2GM}{R}}\\\\ V_2=\frac{2GM}{(2R)}=\sqrt{\frac{GM}{R}} \\\\ \therefore \sqrt 2 =\frac{V_1}{V_2}

 

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