# Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth.

Let ME and m be the masses of the earth and the body and let the distance between the centre of Earth and the body be d. The magnitude of the gravitational force between the earth and the object would be given by the relation.

$F=G\frac{M_{E}m}{d^{2}}$

Mass of Earth, $M_{E}=5.972\times 10^{24}kg$

d would be approximately equal to the radius of the earth.

Radius of Earth $=6.378\times 10^{6}m$

$G=6.67\times 10^{-11}N\ m^{2}\ kg^{-2}$

$\\F=6.67\times 10^{-11}\times \frac{5.972\times 10^{24}\times m}{(6.378\times 10^{6})^{2}}\\ F=9.8m\ N$

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