Question

why value of g is zero at center of earth

Answer 1

Acceleration due to the earth's gravity is zero at the centre of the Earth because at that point the mass of the earth is equally distributed in all directions, so pulling equally in all directions for a net zero pull.

 As the distance from the centre decreases, the acceleration due to gravity also decreases.  At the centre the distance is zero, hence gravity is zero.

Answer 2

Here is the answer

Acceleration due to gravity on the Earth's surface is given as

g = GM/r^2

The value of g depends on the mass M of the earth and the radius R of the earth.
As we go deep inside the earth , our distance from the center of the earth decreases and no longer remains equal to the radius of the earth.(R).
Along with the distance, the part of the earth which contributes towards the gravitational force felt also decreases , decreasing the value of mass (M)

Due to the combined result of change in R and M , Value of g becomes zero at the center of the earth.

Thanks!

#BeBrainly