An object weighs 750 N on Earth. The Moon's mass is 1/81 of Earth's and its radius is 1/3.7 of Earth's. The object's weight on the Moon is about:

1. Weight $= \dfrac{GMm}{R^2}$, so $\dfrac{W_M}{W_E} = \dfrac{M_M}{M_E}\times\dfrac{R_E^2}{R_M^2}$. 2. Here $\dfrac{M_M}{M_E} = \dfrac{1}{81}$ and $\dfrac{R_E}{R_M} = 3.7$, so $\dfrac{R_E^2}{R_M^2} = (3.7)^2 = 13.69$. 3. $W_M = 750 \times \dfrac{1}{81} \times 13.69$. 4. $750 \times 13.69 = 10267.5$, divided by 81 gives about 126.8 N. 5. This is nearly 1/6th of 750 N, consistent with $g_{moon}\approx g/6$; 750 N (no change) is the trap. _Source: Balbharati (Maharashtra Board) Class 10 Science & Technology, Ch 1 "Gravitation", p.19_