The weight of a person on the earth surface is 70 kg.wt. What will be his weight on the surface of the moon? Mass of the moon = 7.34 × 10²² kg, radius = 1.75 × 10⁶ m and gravitational constant G = 6.67 ×10^-11 Nm^-2 kg^-2.

Given,

Mass of the moon = 7.34 × 10²² kg

Radius = 1.75 × 10⁶ m

Gravitational constant G = 6.67 ×10^-11 Nm^-2 kg^-2

Acceleration due to gravity on the moon is

$$\begin{gathered} {\mathrm{g}}_{\text{moon }}=\frac{\mathrm{GM}}{{\mathrm{R}}^2} \\ \Rightarrow {\mathrm{g}}_{\text{moon }}=\frac{6.67\times {10}^{-11}{\mathrm{Nm}}^{-2}{ \mathrm{kg}}^{-2}\times 7.34\times {10}^{22} \mathrm{kg}}{{\left(1.75\times {10}^6 \mathrm{m}\right)}^2} \\ \Rightarrow {\mathrm{g}}_{\text{moon }}=\frac{48.9578\times {10}^{-1}}{3.0625}=15.98\times {10}^{-1}\approx 1.6 \end{gathered}$$

The weight of the person on the moon surface is W_moon = mg_moon

$\Rightarrow {\mathrm{W}}_{\text{moon }}=70\times 1.6=112 \mathrm{kg}·\mathrm{wt}$