Derivation of mass of earth
Consider a body of mass m on the surface of the earth.Let the mass of the earth be M and radius of the earth be R,The distance of the body from the center of the earth will also be equal to the radius R of the earth.According to the law of gravitation,the gravitational force F of the earth acting on a body is given by:
=6 × 1024 kg
Mass of earth in kg
Thus mass of the earth is 6 × 1024 kg.
How radius of earth is calculated?
Radius of the earth can be calculated from the following formula:
Radius of earth in meters