At top of mount Everest the force of gravity is less than at sea leveldescribe what would happen to your mass and to your weight if you traveled from sea level to the top of mount Everest explain?

Answer 1

First off your mass is the same, it will no t change no matter where you are.

Your weight however depends on the distance between your center of mass and the center of mass of the earth ( and to a very small extent on the bouyant forces of the atmosphere)

So at sea level the force of gravity between you and the earth (your weight) is:

F=G x m1x m2/D2

where F is essentially your weight, G is the universal gravitational constant, m is your mass and m2 id the mass of the Earth and D is the distance between you and the center of the Earth.

At the top of Everest you are 8.84 km further from the center of the Earth (Earth's radius)so:

FTop/Fsealevel = D2sealevel/D2 Top = (6378.1km)2/(6378.1km + 8.84km)2 (about 99.7% of your initial weight)

Answer 2

Your mass would remain the same, as it is a measure of the amount of matter in your body and does not change. However, your weight would decrease at the top of Mount Everest compared to sea level, as weight is the measure of the force of gravity pulling on your mass. Since gravity is weaker at the top of Mount Everest, you would experience a decrease in weight despite no change in mass.