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How much will a body of mass once kg weigh on moon ? Given mass of moon is `(1)/(100)` mass of earth and diameter of moon is `(1)/(4)` the diameter of earth.

Answer» Here, `W_(m)=?m=(1)kg`.
`M_(m)=(1)/(100)M_(e), D_(m)=(1)/(4)D_(e), R_(m)=(1)/(4)R_(e)`
`W_(m)/W_(e)=M_(m)/R_(m)^(2).R_(e)^(2)/M_(e)=M_(m)/M_(e)xx(R_(e)/R_(m))^(2)=(1)/(100)xx(4)^(2)`
`W_(m)=(16)/(100)W_(e)=(16)/(100)(mg_(e))=(16)/(100)xx1xx9.8N=1.57N`


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