why the value of g on the moon is 1\6th of the earth
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The value of the gravitational acceleration on the surface of a planet of radius R and mass M is g = GM/R2. So the gravity on the moon is 1/6th that of Earth because the moon is far less massive than the Earth and has a different radius(R) as well.
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Explanation:
Because the moon has less mass than Earth, the force due to gravity at the lunar surface is only about 1/6 of that on Earth."
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