A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, the value of acceleration due to gravity at the earth's surface, is

Question

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g₀, the value of acceleration due to gravity at the earth's surface, is

${{m{g_0}{R^2}} \over {2\left( {R + h} \right)}}$

$ - {{m{g_0}{R^2}} \over {2\left( {R + h} \right)}}$

${{2m{g_0}{R^2}} \over {R + h}}$

$ - {{2m{g_0}{R^2}} \over {R + h}}$

Solution

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