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  • A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of earth, the orbital speed of the satellite is</p

A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of earth, the orbital speed of the satellite is

 

Option: 1

\frac{gR^2}{R+x}


Option: 2

\frac{gR}{R-x}


Option: 3

gx


Option: 4

\left ( \frac{gR^2}{R+x} \right )^{\frac{1}{2}}


Answers (1)

best_answer

 

\frac{mv^2}{(R+x)}= \frac{GMn}{(R+x)^2}

\frac{v^2}{x}=\frac{gR^2}{x^2}

\Rightarrow V= \left [ \frac{gR^2}{(R+x)} \right ]^{\frac{1}{2}}

Posted by

seema garhwal

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