First slide

Gravitational potential and potential energy

Question

A satellite of mass m is revolving around the earth at height R (radius of the earth) from the earth's surface. Its potential energy will be

Moderate

A

$mgR$
B

$0 .67 mgR$
C

$- \frac{mgR}{2}$
D

$0.33 mgR$

Solution

$\begin{array}{l} PE = \frac{- GM}{2 R} (at height R) \\ = - \frac{{GMR}_{m}}{2 R^{2}} ≐ - \frac{1}{2} mgR \end{array}$

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