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MHT CET 2020 (16 Oct, Shift 2) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from MHT CET 2020 (16 Oct, Shift 2)

Q21MHT CET 2020 · 16 OCT · SHIFT 2Medium

Satellite Energy & Weightlessness

The ratio of energy required to raise a satellite of mass $m$ to a height $h$ above the earth's surface of that required to put it into the orbit at same height is [ $R =$ radius of the earth]

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Answer: (d)

Energy to raise: $\frac{GMmh}{R(R+h)}$ .
Energy to put into orbit (orbital KE): $\frac{GMm}{2(R+h)}$ .
Ratio $= \frac{2h}{R}$ .
So the answer is (d) $\frac{2h}{R}$ .

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