Question

What is the acceleration due to gravity if the mass of the earth is $6\times {10}^{24}kg$and its radius is $6400km?$

Answer 1

Step 1: Given data

Mass of the earth $6\times {10}^{24}kg$

Radius of Earth $6400km=64\times {10}^{5}m$

The gravitational constant is spherical and given as $G=6.7\times {10}^{-11}N{m}^{2}k{g}^2$

Step 2:Finding the value of acceleration due to gravity

We know that, acceleration due to gravity is given as $g=\frac{GM}{R^2}$

Substituting the values into the formula

$g=\frac{6.7\times {10}^{11}\times 6\times {10}^{24}}{{(64\times {10}^5)}^2}$

$g=9.81m{s}^{-2}$

Therefore, the acceleration due to gravity is $9.81m{s}^{-2}$.