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Variation of g (Acceleration Due to Gravity)

A satellite r...

Question

A satellite revolving around a planet has orbital velocity $10 k m / s$ . The additional velocity required for the satellite to escape to from the gravitational field of the planet is:

A

14.14 k m / s

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B

11.2 k m / s

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C

4.14 k m / s

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D

41.4 k m / s

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Solution

The correct option is C $4.14 k m / s$

$V_{e} = (\sqrt{2} - 1) V_{o}$

$= (1.414 - 1) V_{0} = 0.414 \times 10 = 4.14 k m / s$

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