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MHT CET 2026 (19 May, Shift 2) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from MHT CET 2026 (19 May, Shift 2)

Q2MHT CET 2026 · 19 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 $3R$ is $\{G$ $=$ gravitational constant $\}$

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Answer: (d)

Orbit radius $r = R + 3R = 4R$ ; energy in orbit $E_f = -\frac{GMm}{8R}$ .
Energy at rest on surface $E_i = -\frac{GMm}{R}$ .
$E_f - E_i = \frac{GMm}{R}\left(1 - \frac{1}{8}\right) = \frac{7GMm}{8R}$ .
So the answer is (d).

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