Question

as you go in the interior of the earth guess what changes will you notice in your weight? try to find out the reasons behind it

Answer 1

You stated that the force of gravity would be less at the top of Mt. Everest. You use the formula 1/R2 as the basis for your answer. It seems to me that that equation only works as you leave the surface of the earth. I say this because as you sink into the earth, the force of gravity decreases until you reach the center where it is 0. And, if you were to add mass to the overall surface of the earth, as it grew bigger, even though you moved further from it's center, gravitational force would increase. I assume that you are referring to a theoretical surface of the earth where gravity is at it's maximum. In that case, since Mt. Everest is above that surface, the gravitational pull would be less. My question is this (finally): Would I weigh less in Death Valley than at sea level (all other things being equal)?

Answer 2

If you get closer to Earth your weight increases so, logically it makes sense to assume that as you get closer to the centre of Earth your weight increases.

A brief search through the internet, confirm my theory. Your weight is slightly less on top of Everest than it is at sea level.

However, as you descend into a hole in the ground your weight will decrease again because the weight of an object is the maximum at the surface of the earth.

Once you’re below the surface of Earth and as you move closer to the centre of Earth, the mass of the Earth between the centre of the Earth and your body keeps decreasing. ... therefore

the weight of an object is the maximum at the surface of the earth and

the weight of an object at the centre of Earth would be zero.