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Why is the weight of an object on the Moon `(1//6)`th its weight on the Earth?

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Why is the weight of an object on the Moon `(1//6)`th its weight on the Earth?
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the mass of moon is 1/100 times and its radius 1/4 times that of earth As a result , the gracitional attaction on the moon is about one sixth when compared to earth ,Hence the the weight of an object on the moon 1/6 th its weight on the earth .
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