# Gravitational force on the surface of the moon is only $\frac{1}{6}$ as strong as gravitational force on the earth. What is the weight in newtons of a $10\ kg$ object on the moon and on the earth?

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Given: Mass of the object $m=10\ kg$

To do: To find the weight of the object on the moon and on the earth.

Solution: We know that $W=mg$

Here, $W\rightarrow$ Weight of the object

$m\rightarrow$ mass of the object

$g\rightarrow$ acceleration due to gravity

Therefore, Weight on the moon, $W_{moon}=mg_{moon}$

$=10\ kg\times 9.8\times\frac{1}{6}$     [$g$ on the moon is one sixth of $g$ on earth.]

$=16.33\ N$

And now, weight on earth, $W_{earth}=mg_{earth}$

$=10\times 9.8$

$=98\ N$

Thus, weight of the object on moon is $16.33\ N$ and  on the earth is $98\ N$.

Updated on 10-Oct-2022 13:22:44