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 the earth, the orbital speed of the satellite is

Step-by-step solution

For the satellite, the gravitational force provides the necessary centripetal force i.e. aligned & GM _ e m ( R + X )^2 = Mv ₀^2 ( R + X ) and GM _ e R ^2 = g & v ₀= ( g R ^2 R + X )^ 1 / 2 & aligned