Calculate the value of โ€˜$g$โ€™ acceleration due to gravity on the earth.


$g$ is the acceleration of the gravity.

We know the formula, $g=G\frac{M}{R^2}$

As known, constant value $( G)=6.67\times10^{-11}$

Mass of earth $( M)=6\times 10^{24}\ kg$

Radius of the earth $( R)=6.4\times 10^6\ km$

On substituting the above values in above equation

$g=6.67\times10^{-11}\times\frac{6\times 10^{24}}{( 6.4\times 10^6)^2}$

Or $g=9.8$      [approximate value on solving]

The value of $g = 9.8\ m/s^2$.

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Updated on: 10-Oct-2022

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