Question

on what factors does acceleration due to gravity depend? an object weighs 600N on the earth. find its weight on the surface of given mass of the moon =7.4*10^22 kg. radius of the moon = 1.74*10^6m.

Answer 1

Dear student

Factors on which acceleration due to gravity depends are:-

• Height- acceleration due to gravity (g) decreases as one moves away from the surface of the earth.
• Depth - g decreases with increase in depth.
• Latitudes- value of g is maximum at the poles and minimum at the equator.

Given,
Mass of moon= $7.4\times {10}^{22}$
Radius of moon= $1.74\times {10}^6$
$$\begin{gathered} g=\raisebox{1ex}{$GM$}\!\left/ \!\raisebox{-1ex}{$R^2$}\right. \\ where,G=Gravitationalcons\tan t(6.7\times {10}^{-11}) \\ M=mass \\ R=Radius \end{gathered}$$

$g=\frac{6.7\times {10}^{-11}\times 7.4\times {10}^{22}}{(1.74\times {10}^6{)}^2}$

$=1.62m/s^2$
Weight = m$\times$g
600 = m $\times$ 9.8
m= 600/ 9.8
= 61.22

Weight on surface of moon = 61.22 $\times$ 1.62
= 99.17 N
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