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/sci/ - Science & Math


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2352065 No.2352065 [Reply] [Original]

What would happen if you hollowed out a small sphere at the center of the Earth, and then filled it halfway with water? Would the water collect into a smaller sphere at the center of the larger sphere, or would it come to rest on the "ground" of the sphere? Assume a non-molten core. Pic unrelated.

>> No.2352068

it would combust from the immense pressure

>> No.2352072

it would instantly freeze from being so far underground

>> No.2352073

a very thin layer would coat the 'floor' and the rest would form a sphere in the center

>> No.2352074

it would escape through the long ass tunnel you dug

>> No.2352076

If we assume zero (earth caused) gravity, then I suppose Sun's gravity would cause the water to flow towards the side of the hollow pointing towards the Sun.

>> No.2352077

Depends on the total mass of the water vs the mass of the Earth

>> No.2352078

it would immediately herp from the immense derp

>> No.2352081

>>2352076

moon controls the tides bro

>> No.2352086

it would assume the form of sharsheech the gravity god

unfortunately his form can never be known by 4-dimensional beings, so the universe would end

>> No.2352090

As to OP's image, when the constellations were decided the stars looked very different. Shit changes.

>> No.2352093

>>2352065
>If we assume zero (earth caused) gravity, then I suppose Sun's gravity would cause the water to flow towards the side of the hollow pointing towards the Sun.
Except we're in orbit, so no.

You'd see a small effect like the tide (just like the Ocean tides do), but the moon would be a larger factor.

>> No.2352096

>>2352090

not different enough for any of them to make sense other than the big/little dipp

>> No.2352097

>>2352065
The water is inside of a concentric hollow sphere with density spherically symmetric. Thus anything inside the hollow would feel no net force of gravity from the surrounding mass of the Earth. I'm too lazy to do the calculus, but that's what it comes out to.

>> No.2352098
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2352098

>>2352065
firstly, the sphere you hollowed out would immediately be refilled, due to such high pressure, the surrounding core would collapse in and fill the space.

..hypothetically, if this didn't happen, then the water would rest on the outside of the hollowed out sphere.
this is because you will be unable to pour it EXACTLY to where the centre of earths mass is, so it will be slightly closer to 1 side of the earth, and further from the other.
this would mean that gravity pulls it (very slowly at first) towards the side of the earth it is closest to.

>> No.2352107

>>2352098
>..hypothetically, if this didn't happen, then the water would rest on the outside of the hollowed out sphere.
this is because you will be unable to pour it EXACTLY to where the centre of earths mass is, so it will be slightly closer to 1 side of the earth, and further from the other.
this would mean that gravity pulls it (very slowly at first) towards the side of the earth it is closest to.
Except no, see: >>2352097

>> No.2352119
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2352119

>>2352097
"theres a lot of long words in there, miss. we're nought but humble pirates.

also, you're wrong.

>> No.2352125

>>2352119
I'm not the guy up there, but there is no gravity from the shell that is the earth, the forces cancel each other out.

>> No.2352142

>>2352119
I suggest you learn to physics and calculus.

>> No.2352147
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2352147

>>2352125

the forces alsmost cancel out, but not entirely.
the EXACT centre of mass of the earth is infinitesimally small, and you will never align the centre of mass of the sphere of water perfectly with the centre of mass of the earth.
ergo, it is slightly closer to one side, and it will be pulled this way.

..imagine a circle of very strong magnets (switching from 3d to 2d for simplicity, but the theory remains the same.) and a ball bearing in the middle. it will not remain exactly in the middle, you will not be able to place it EXACTLY in the centre of the circle, and it will be drawn to one side. (...i imagine attempting to do this would be very frustrating... i once attempted to create a decoration for my dormroom that would consist of one magnet suspended from a string, and another magnet would be suspended a couple of centimetres below it, and the plan was to have the magnetic force exactly equal gravity, so the magnet would be suspended in the air, and it would look rather magical. it was impossible to perfectly achieve the balance.)

>> No.2352149

>>2352142
>implying i don't already know physics and calculus at a high level.

>> No.2352161

>>2352147
>>2352149
Then I suggest you review it. I'm not talking about an unstable equilibrium. I'm stating that at any point in the hollow center of the Earth, the force of gravity of all of the parts of the Earth equal 0. Not just at the exact center, but /everywhere/ in the hollow center.

>> No.2352177

>>2352161
no. you are wrong.

if you were correct, then in my circle of magnets analogy, at any point in the circle, the ball bearing should be pushed towards the exact centre of the circle. this is wrong, it would be pulled towards the closest magnet.
gravity, as with magnetism, is always a pulling force. ergo, everything in the hollow centre is being pulled apart, outwards, nothing is being pushed inwards and held at the centre.

i know i am right, but i am fairly sure you are not trolling.
im also not sure how else to explain it, so i will probably have nothing else to post.

>> No.2352198

>>2352177
Indeed. BS in Math here.

First, your analogy of the magnet is flawed. See:
http://en.wikipedia.org/wiki/Magnetic_domains
In short, the not-permanently magnetized ferromagnetic material, in the presence of the permanent magic, will have its magnetic domains aligned, causing it to be strongly attracted in a particular direction.

There is no such analogy for gravity.

Let me see if I can remember enough calculus to do this.

>> No.2352201

>>2352198
Meh. I'm lazy, and googled and wiki saved me. See:
http://en.wikipedia.org/wiki/Shell_theorem

>If the body is a spherically symmetric shell (i.e. a hollow ball), no gravitational force is exerted by the shell on any object inside, regardless of the object's location within the shell.

It is pretty basic calculus. Just whip out some spherical coordinates, and it resolves down pretty nicely.

>> No.2352203

>>2352198
>>2352201
Also, it's me, trip-fagging up this thread for the fun of it.

>> No.2352211
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2352211

>>2352198
>in the presence of the permanent magic

>> No.2352216

>>2352211
Note to self, "EK !D96TK2PSsI" is a jackass.

>> No.2352224

>>2352201
ah... i wasn't aware of this.
thanks for the link.

>> No.2352228
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2352228

>>2352216