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ENERGY OF AN ...

Question

ENERGY OF AN ORBITING SATELLITE
The change in potential energy is:

\frac{G M_{E} m}{2 R_{E}}

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\frac{G M_{E} m}{4 R_{E}}

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\frac{G M_{E} m}{8 R_{E}}

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\frac{G M_{E} m}{R_{E}}

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Solution

The correct option is B $\frac{G M_{E} m}{4 R_{E}}$
The change in potential energy is twice the change in the total energy.
$∴ Δ U = 2 Δ E = 2 (\frac{G M_{E} m}{8 R_{E}})$
$= \frac{G M_{E} m}{4 R_{E}}$

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