Question
A body weighs 63N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
Solution
Acceleration due to gravity at height h from the surface of the earth is,
where, g is the acceleration due to gravity at the surface of the earth.
Here, height is equal to the radius
∴
Gravitational force at given height is,
Weight of the body,
where, g is the acceleration due to gravity at the surface of the earth.
Here, height is equal to the radius
∴
Gravitational force at given height is,
Weight of the body,
