Question

The mass and radius of moon are $7.4\times {10}^{22}kg$ and $17.4\times {10}^{6}kg$ . Find the acceleration due to gravity at the moon .$(G=6.67\times {10}^{-11}N{m}^{2}k{g}^{-2})$

• A. $1.8m/s^2$
• B. $1.6m/s^2$
• C. $1.620m/s^2$
• D. $1.720m/s^2$

Answer 1

The correct option is C $1.620m/s^2$

On the surface of the moon, the distance to the center of mass is the same as the radius: $r=1.74\times {10}^{6}m=17,40,000$ m. The acceleration due to gravity on the surface of the moon can be found using the formula:

$g=\frac{GM}{r^2}$

$g=\frac{(6.673\times {10}^{-11})(7.4\times {10}^{22})}{17400000}$

The acceleration due to gravity on the surface of the moon is $1.620$ m$s^2$.