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Question
Explain : Escape velocity on the moon is less than escape velocity on the earth.
Solution
- The formula for escape velocity is, `"v"_"esc" = sqrt((2"GM")/"R"`
- As, for the moon, both M and R are smaller than that for the earth, the combined result of a change in M and R makes the escape velocity of the moon lesser than that of the earth.
- The escape velocity on the moon [(vesc)M ≈ 2.3 km/s] is less than the escape velocity on the earth [(vesc)E = 11.2 km/s]
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