At a height equal to earth's radius, above the earth surface, the acceleration due to gravity is-

Concept:

• Acceleration due to gravity: The acceleration achieved by any object due to the gravitational force of attraction by the earth is called acceleration due to gravity by the earth.
  • As each planet has a different mass and radius so the acceleration due to gravity will be different for a different planet.

Acceleration due to gravity of the earth having mass (M) and radius (R) on earth surface is given by:

Here G is the universal gravitational constant.

Acceleration due to gravity at any depth (h) of the earth’s surface whose distance from the centre of the earth is r is given by:

Acceleration due to gravity at height (h’) whose distance from the centre of the earth is r is given by:

Where G is Universal gravitational constant, r = (R - h) and r’ = (R + h).

Calculation:

New Gravity above the surface of earth g' :

When h = R_e

Alternate Method Acceleration due to gravity = 

R = distance from the centre of the earth.

At a height = R above the earth's surface