First slide

Gravitaional potential energy

Question

A satellite of mass m is moving in a circular orbit with speed V. Then potential energy of earth satellite system is

Moderate

A

$- m V^{2}$
B

$- \frac{1}{4} m V^{2}$
C

$- 2 m V^{2}$
D

$- \frac{1}{2} m V^{2}$

Solution

Kinetic energy $= \frac{1}{2} m V^{2}$
$∴$ Total energy $= - \frac{1}{2} m V^{2}$
$∴$ Potential energy $= 2 \times$ Total energy $= - m V^{2}$

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