Explain why value of g changes if we go inside the earth. - Vidyadip

Question

Explain why value of $g$ changes if we go inside the earth.

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Answer

i. The acceleration due to gravity (g) on earth's surface is given as, $g=\frac{G M}{R^2}$
The value of $g$ depends on the mass $M$ of the earth and the radius R of the earth.
ii. As we go inside the earth, our distance from the centre of the earth decreases and no longer remains equal to the radius of the earth (R).
iii. Along-with the distance, the part of the earth which contributes towards the gravitational force felt also decreases, decreasing the value of (M).
iv. Due to combined result of change in $R$ and $M$, value of $g$ decreases as we go inside the earth and becomes zero at the centre of the earth.

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