Question

Given mass of earth is 6 × ${10}^{24}$ kg and mean radius of earth is 6.4 × ${10}^6$ m. Calculate the value of acceleration due to gravity (g) on the surface of the earth.

Answer 1

The formula for the acceleration due to gravity is given by

g = $\frac{GM}{R^2}$

Here, G = 6.67 * ${10}^{-11}$ $\frac{{Nm}^2}{{kg}^2}$

M = mass of earth = 6 * ${10}^{24}$kg

R = radius of earth = 6.4 * 6 * ${10}^6$m

g = $\frac{{6.67\ast 10}^{-11}\ast 6\ast {10}^{24}}{{(6.4\ast {10}^6)}^2}$ = 9.8 $\frac{m}{{sec}^2}$