Derive an expression to explain the decrease in acceleration due to gravity inside the earth as one approaches the centre.

The value of acceleration due to gravity

Acceleration due to gravity is minimum at

Acceleration due to gravity is maximum at

The acceleration due to gravity on the moon is

Acceleration due to gravity at any point inside the earth

The value of acceleration due to gravity at the surface of earth

If the earth were to spin faster, acceleration due to gravity at the poles :

The acceleration due to gravity at a depth R//2 below the surface of the earth is

If radius of earth decreases by 10%, then acceleration due to gravity (Density of earth remain constant)

A satellite of mass m is moving in a circular or orbit of radius R around the earth. The radius of the earth is r and the acceleration due to gravity at the surface of the earth is g. Obtain expressions for the following : (a) The acceleration due to gravity at a distance R from the centre of the earth (b) The linear speed of the satellite (c ) The time period of the satellite