$(a)$ The weight of a man on the surface of the earth is $392 \, N$. Find his mass. $(g = 9.8 \, m s^{-2})$
$(b)$ If the man were taken to the moon,what would be:
$(i)$ his mass and
$(ii)$ his weight?
$(iii)$ Calculate the acceleration due to gravity on the moon.

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(N/A) Given: Weight $(W) = 392 \, N$,Acceleration due to gravity $(g) = 9.8 \, m s^{-2}$.
Mass $(m) = W / g = 392 / 9.8 = 40 \, kg$.
$(b)$ $(i)$ The mass of an object remains constant regardless of location. Therefore,his mass on the moon will be $40 \, kg$.
$(ii)$ The weight of an object on the moon is $1/6$ of its weight on the earth. Therefore,weight on the moon $= 392 / 6 \approx 65.33 \, N$.
$(iii)$ Acceleration due to gravity on the moon $(g_m) = \text{Weight on moon} / \text{Mass} = 65.33 / 40 \approx 1.63 \, m s^{-2}$.

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