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

Question

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, gx, gR R - x, gR 2 R + x, gR 2 R + x 1 / 2

MARKS App · Accepted Answer

For a satellite centripetal force = Gravitational force ∴ m ν 0 2 R + x = GMm R + x 2 or ν 0 2 = GM R + x = gR 2 R + x [ ∵ g = GM R 2 ] or ν 0 = gR 2 R + x .

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