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MHT CET 2024 (15 May, Shift 2) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from MHT CET 2024 (15 May, Shift 2)

Q9MHT CET 2024 · 15 MAY · SHIFT 2Medium

Satellite Energy & Weightlessness

The minimum energy required to launch a satellite of mass $m$ from the surface of a planet of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$ is

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Answer: (a)

Orbit radius $r = 3R$ ; $E_f = -\frac{GMm}{6R}$ .
At the surface $E_i = -\frac{GMm}{R}$ .
$E_f - E_i = \frac{GMm}{R}\left(1 - \frac{1}{6}\right) = \frac{5GMm}{6R}$ .
So the answer is (a).

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