Question

the acceleration due to gravity at the surface of the moon is 1.6m/s(square). if the radius of the moon is 1.7 * 10^6 m, calculate mass of the moon.

Answer 1

yes.

you can calculate the mass of the moon by using the formula

g= G m/r*r

Answer 2

Answer:

$\bold{7.4\times 10^{22}kg}$

Explanation:

$\text{We know the formula, } g = GMm/R^2\\\\\text{Where, }g=1.67m/s^2, R=1.7 \times 10^6m, \text{ Mm = mass of moon}\\\\g=GMm/R^2\\\\Mm=g/G \times R^2\\\\1.67\times (1.7\times10^6)^2/6.67\times10^{-11}=7.4\times 10^{22}\\\\\text{Mass of moon }= 7.4\times 10^{22}kg$