Question

in the radius of the earth shrinks by 4% and there is no change in its mass and acceleration due to gravity which depends on mass and radius will change by how much does the value of g change​

Answer 1

Explanation:

If you stayed at the same radius while the earth shrinks then nothing will change other than you'll start to fall. If you stand on the surface of the new smaller radius then you will feel the increased gravitation.

The strength of the gravitational field depends on how far you are from the center of the mass, assuming the mass density is radially dependent or constant. It also depends on the total mass inside your position:

g=GMEr2,

where r is the distance from the center of the mass distribution.

So if you stay where you are now, the gravitational field doesn't change, and the local gravitational acceleration doesn't change. If you were to move to the new position of the surface, the field would increase.

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