Question 405: Gravitation

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

Accepted Answer

Total mechanical energy of satellite is given by
E = Ã¢ÂÂ GMm/2r
Here,   r = R + h
And, GM = g
o
R
2
So,   E = Ã¢ÂÂ mg
o
R
2
/2(R+h)

Answer

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

Answer

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

Answer

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

Answer

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

Gravitation

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

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