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The mass of t...

Question

The mass of the moon is 1/81 of earth's mass and its radius 1/4 that of earth. If the escape velocity from the earth's surface is 11.2 km/s ,its value for the moon...

A

0.14 km/s

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B

2.5 km/s

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C

0.5 km/s

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D

5.0 km/s

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Solution

The correct option is B
2.5 km/s

V_m = [2G(M/81) / (R/4)]^1/2

= 2 × 11.2 / 9

= 2.5 km/s

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