Theoretical Question

14 viewed last edited 3 years ago
Chris Matthews
if you walked into a mine shaft going into the earth, would you weight less, weight more or the same?
Mahesh Godavarti

As you travel towards the center of the Earth, the amount of gravity you experience gets lower and lower. The force of gravity that one experiences is directly the result of the mass of Earth below one's feet. The mass of Earth above and at your height plays no part.

So, as you travel deeper and deeper and arrive at the core, you will be absolutely weightless.

P. S. We can use the expression for gravitational force experienced by the object underground at a distance r from the center of the Earth which is F = m \frac{4 \pi G \rho r}{3} where \rho is the density of the Earth (read https://physics.stackexchange.com/questions/18446/how-does-gravity-work-underground for more details).