Question
If a body weighs 100N at the surface of the earth, how much will it weigh at the centre of the earth?
Solution
As the body is moved closer to the center of the earth, the mass of the earth between the center of the earth and the body keeps decreasing.
This causes the force acting from the center of the earth on the body to decrease.
Hence, the weight of the body at the centre of the earth = zero.
This causes the force acting from the center of the earth on the body to decrease.
Hence, the weight of the body at the centre of the earth = zero.