The mass of the moon is 1/144 times the mass of a planet and its diameter 1/16 times the diameter of a planet. If the escape velocity on the planet is v, the escape velocity on the moon will be:
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The mass of the moon is 1/144 times the mass of a planet and its diameter 1/16 times the diameter of a planet. If the escape velocity on the planet is v, the escape velocity on the moon will be:

G1 Physics · Accepted Answer

Escape velocity: vₑ = √(2GM/R) For the moon: Mₘ = Mₚ/144 Rₘ = Rₚ/16 Therefore, vₘ/vₚ = √[(1/144)/(1/16)] = √(16/144) = 1/3 Hence, vₘ = v/3