Weight of the same object on the earth is We(where W is the weight and \"e\" is the earth;which means weight on the earth). Mass of the earth is 100 times of that of the moon. Radius of the moon = R Radius of the Earth = 4R Weight of the object on the moon = We = G100M*m/(4R)$^2$ (Pronounced 4 R square) We = G100M*m/(16R)$^2$ (Pronounced 16 R square) Wm/We = G * M * m * 16R$^2$/R$^2$ * g * 100M * m =16/100 Wm/We = 16/100 = 1/6 Weight on the moon is 1/6 weight on the earth. (Hence Derived).
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16 divided by 4 is 4, and 100 divided by 4 is 25. So, 16/100 simplifies to 4/25. Now, to see why 4/25 is equal to 1/6, we can convert both fractions to decimals. Show more…
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