Question

The acceleration due to gravity at sea level is g=9.81 m/s^2. The radius of the earth is 6370 km. The universal gravitational constant is G = 6.67 × 10−11 N-m^2/kg^2. Use this information to determine the mass of the earth.

Answer 1

Answer:

Mass of earth will be $M=5.96\times 10^{24}kg$

Explanation:

We have given acceleration due to gravity $g=9.81m/sec^2$

Radius of earth = 6370 km =$6370\times 10^3m$

Gravitational constant $G=6.67\times 10^{-11}Nm^2/kg^2$

We know that acceleration due to gravity is given by

$g=\frac{GM}{R^2}$, here G is gravitational constant, M is mass of earth and R is radius of earth

So $9.81=\frac{6.67\times 10^{-11}\times M}{(6370\times 10^3)^2}$

$M=5.96\times 10^{24}kg$

So mass of earth will be $M=5.96\times 10^{24}kg$