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Physics

General

Easy

Question

The additional K.E. to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R₁ to another radius R₂(R₂>R₁) is

GMm( $\frac{1}{{R^{2}}_{1}} - \frac{1}{{R^{2}}_{2}}$
GMm $(\frac{1}{R_{1}} - \frac{1}{R_{2}})$
2GMm $(\frac{1}{R_{1}} - \frac{1}{R_{2}})$
$\frac{1}{2} G M m (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

The correct answer is: $1 half G M m left parenthesis 1 over R subscript 1 minus 1 over R subscript 2 right parenthesis$

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