Does GRAVITATION exist at centre of earth?how?

Question

Does GRAVITATION exist at centre of earth?how?

Answer 1

The situation is as follows.

Let's say that the Earth radius is R.



When you are at a distance r equal or greater than R,

i.e. on the surface or in space, you feel the Earth gravity

as it were concentrated at its center. And of course, if you move to a greater distance gravity decreases.



When you go under the surface and are at a distance r

less than R from the center of the Earth, you do not

feel the contribution of matter which is at distance greater than r: you feel only the gravity of matter which is at a distance less than your position at r.



It is true that you are nearer to the center, so gravity should increase (with the inverse square distance), but the quantity of matter which attracts you decreases faster

(the volume goes with the cube of the distance, and so the mass assuming a constant density!) : the net effect is that approaching the center gravity decreases.



Therefore, when you reach the center of the Earth, you feel no gravity at all: all contributions cancel out, as correctly pointed out by other people here.



Historical note: the above results were obtained by Newton after hard work and published in his Principia Mathematica in 1687; with modern calculus they are "easier" to derive.

Answer 2

Theoretically, gravitation exists everywhere. However, at the center of Earth, the gravitational attraction from Earth's mass cancels out, meaning that the net gravitational pull at the center of Earth is zero. If you could hollow out a hole at Earth's center without being vaporized or crushed by the intense heat and pressure, you could float there as if in zero gravity.



Of course, Earth isn't the only gravitational source in the universe. You would still be subject to the gravitational influence of the Sun and Moon, as well as (weakly) the other planets and even the distant stars. So yes, gravitation DOES exist at Earth's center, even if you could not feel what should be the most prominent source of gravitation.

Answer 3

yes ! The situation is as follows.

Let's say that the Earth

radius is R.

When you are at a distance r

equal or greater than R,

i.e. on the surface or in

space, you feel the Earth

gravity

as it were concentrated at its

center. And of course, if you

move to a greater distance

gravity decreases.

When you go under the

surface and are at a

distance r

less than R from the center

of the Earth, you do not

feel the contribution of

matter which is at distance

greater than r: you feel only

the gravity of matter which is

at a distance less than your

position at r.

It is true that you are nearer

to the center, so gravity

should increase (with the

inverse square distance),

but the quantity of matter

which attracts you decreases

faster

(the volume goes with the

cube of the distance, and so

the mass assuming a

constant density!) : the net

effect is that approaching

the center gravity decreases.

Therefore, when you reach

the center of the Earth, you

feel no gravity at all: all

contributions cancel out, as

correctly pointed out by other

people here. And thats make human can feel his weight. bcause earth pulled us to the center of gravitation

Answer 4

No, gravitation does not exist at the center of the earth.

The Gravitational force is highest at the earth's surface.

It decreases as we go higher or deeper from the earth's surface.

It is zero at the center of the earth.

Answer 5

Nobody has the slightest idea. Gravitation might become part of the Grand Unified Field Theory one day - but not right now. At the moment we see gravity as being associated with mass.

Answer 6

If the Earth were a perfect sphere of uniform density matter, then the pull from all matter around the center would cancel out at the center. However, the imperfections (mountains, valleys, caves) and liquid nature of the core means it fluctuates.