Question

The value of gravitational acceleration at a height equal to radius of earth is

Answer 1

Answer:

Given:

An object is taken to a height equal to the radius of the Earth.

To find:

Gravitational acceleration at that height

Calculation:

Let gravitational acceleration be denoted as g"

g" = GM/(R+R)²

=> g" = GM/(2R)²

=> g" = ¼ (GM/R²)

=> g" = ¼g

where g is the gravity at Earth surface .

Please refer to the attached photo to understand better.

So at a height equal to the radius of the Earth, the gravitational acceleration becomes one -fourth as that of the surface of the Earth.