Question

mass of moon is 7.3 × 10²² kg and its radius is 1.74 × 10^6 m. Find the value of acceleration due to gravity on the moon.​

Answer 1

Given:-

mass of moon is 7.3 × 10²² kg

radius = $\sf 1.74 × 10^6 m$

To Find:-

value of acceleration due to gravity on the moon.

Proper explanation:-

distance to the center of mass is the same as the radius: $\sf\to 1.74\times 10^6m$

$\sf\to 17,40,000 m$

Finding the acceleration due to gravity on the surface of the moon BY using formulae:-

$\sf \boxed g=\dfrac{GM}{r^2}$

:$\sf \implies g=\dfrac {(1.74×10^6)(7.3×10^{22})}{17400000}$

$\leadsto \sf {\green {g=1.61ms^{-2}}}$

The acceleration due to gravity on the surface of the moon is $\sf 1.61 ms^{-2}$

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