# Suppose you were in a vessel placed in the direct center of the earth?

This vessel is constructed to withstand the necessary amount of pressure. Would you experience weightlessness?

Relevance

Yes you would. The gravity of earth would be distributed all around you, cancelling itself out.

• nope - gravity is highest at the centre of the earth - not zero

(those who claim its zero are sticking to the newtonian idea of gravity - not einstein's

einstein proved newton was wrong YEARS ago)

• Sure :

g = M*G/r^2

..but M = k*r^3 and also G is a constant ....then :

g = k'*r^3/r^2 = k'*r ...for all points between Earth's CoM and Earth's outer surface

if r = 0, then g = 0

• Gravity would be so strong that you would be smeared evenly around the inside of the vessel like a coat of paint...

• Yes. In fact, you would be weightless everywhere inside any spherical shell.

• Yes. Next question.

There are multiple explanations for this but they all arrive at the same answer.

For example"what does fall DOWN mean at the centre"?

"What is the mass BENEATH you"?

"In which direction does each piece of the earth pull so what is the sum total"

What about the "Gaussian Surface" the same principle applies. The gravitational flux emanating from a sphere surrounding the centre is proportional to the mass within that sphere.

But at the centre that sphere has a radius of zero and a mass of zero. So no gravitational flux.

Take that futher. The gravitational field is GM/ R^2

but the mass is density * 4/3 pi() R^3

so the gravitational field is 4/3 pi() density* G R

ie the field linearly diminishes as you go down.

At a radius of zero the field is zero.

• Yes, because the mass of the earth would completely surround you.

• The earth is not perfect, it is flattened at the poles and bulges at the equator. If you place the vessel correctly at center of this system, the vessel experience equal gravitational forces from earth. However, their is no known insulator for gravity. The moon's gravity pulls as does the sun. You would need to be at the center of gravity of the earth-moon-sun system to be completely weightless.

• Yes, you would, because Earth's mass is pulling at you in ALL directions.

• Anonymous
11 months ago

Yes, before you were cooked from the heat.