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Satellite Launch Vehicle and Jounney to PSLV

The escape ve...

Question

The escape velocity on a planet, four times the radius of the earth and having $9$ times acceleration due to gravity.

A

67.2 m / s

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B

37.4 m / s

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C

403.2 k m / s

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D

422.2 k m / s

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Solution

The correct option is A $67.2 m / s$
$V e = \sqrt{\frac{2 G u e}{Re}}$
$= \sqrt{2 g Re}$
$≃ 11 k m / s$
$V = \sqrt{2 (9 g) 4 Re}$
$= 6 \times 11 k m / s$
$= 66 k m / s$
Hence $,$ option $(A)$ is correct $.$

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