Question

Calculate the acceleration due to gravity on the surface of the moon.

(Given = Mass of the moon = 7.4 x 10^22 kg ,radius of moon = 1740 km, G = 6.7 x 10 -11 Nm^2 / kg ^2 )

Answer 1

the acceleration due to gravity on moon is 1.63 ms^-2

Answer 2

Answer:

$g=1.63\ m/s^2$

Explanation:

Given that,

Mass of the moon, $M=7.4\times 10^{22}\ kg$

Radius of the moon, $R=1740\ km=1740\times 10^3\ m$

Gravitational constant, $G=6.7\times 10^{-11}\ Nm^2/kg^2$

The acceleration due to gravity on the surface of Moon is given by :

$g=\dfrac{GM}{R^2}$

$g=\dfrac{6.7\times 10^{-11}\times 7.4\times 10^{22}}{(1740\times 10^3)^2}$

$g=1.63\ m/s^2$

So, the acceleration due to gravity on the surface of moon is $1.63\ m/s^2$. Hence, this is the required solution.