This is actually a very standard physics question. It is a slight variant on gravity problems, because when you descend into the Earth, some ofhte Earth's mass is beneath you, and some is above you; it can be shown that the force of attraction between you and the center of the Earth is proportional to the mass that lies between you and the center of the Earth.
If you work this out, you can show that the force between you and the center of the Earth varies roughly linearly (neglecting variations in the Earth's internal density) with distance from the center of the Earth; in short, the Earth would attract you as if you are a mass on the end of a spring, and your motion through the Earth would be that of a mass on the end of a spring. When the spring is compressed, you are pushed back to the other side, when the spring is extended, you fall toward the center.
Your motion would be an oscillation around the center of the Earth, and the period of oscillation would be approx 88 minutes, the same amount of time it takes to make an orbit around the Earth in low orbit.
The quick math: F=GM(r)m/r^2 where M(r) is the mass between you and the center of the Earth, r is the distance to the center of the Earth, and m is your mass; M(r) = 4/3piR^3 *density, so
F=4/3 piGm*R^3/R^2 or F proportional to R, just like Hooke's Law!
Now, since your challenge didn't stump us, I have a challenge for you: Learn to write intelligibly and properly; spelling, grammar and syntax matter.
2007-12-25 20:08:13
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answer #1
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answered by kuiperbelt2003 7
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ok, u start to dig a hole on one side of the earth.... the deeper you get the the denser the earth and the hotter the temperature. Granted you have a "suit" that can absorb both the temperature and immense pressure, you will get to the center. At the center you will be more affected by pressure than gravity... again if your suit is can withstand the pressure and temperature you can live.
So from the center, u continue to dig in a straight line... it should be like going up after a deep sea expedition... gravity will have relatively little impact but the pressure will be will be enormous... granted you have some form of propulsion to counter the crushing pressure you should resurface head first on another side of the globe.
There will be no gaping hole when your done because the pressure will cause your path to cave in.
To complete this mission, you must account for the following:
Some protective armor to shield high temperatures and pressure.
A digging mechanism to cut through the extremely dense rock.
Some form of navigation system to guide the you through the molten rock (the core is near liquid)
A powerful propulsion system to counter gravity (or provide thrust in the absence of it)
Once all this is in place you should resurface in some other country.
....... Just my speculation
2007-12-25 17:37:48
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answer #2
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answered by physical 4
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Okay, the hottest place on or below the Earth's surface is around the Equator where the ground speed of a rotation is 1037mph, where the friction is greatest and the heat generated by this friction is more than at any other place on Earth.
As you move towards the Poles the ground speed of a rotation gradually decreases. As the circles of Latitude get smaller the distance is shorter so the ratio of speed changes until it reaches 0 mph at the center of the North and South Pole.
Here there is no friction and no heat is generated by the movement of the Earth's rotation.
The polar spin axis runs straight through the center of the Earth indicating that at 0 mph there is no friction or heat generated along the spin axis as it passes through the center of the Earth.
So, if you start digging at the North Pole and finish digging at the South Pole you will need thermal underwear to withstand below freezing temperatures at the Earth's core.
If you start digging on the Equator through to the other side you may need an amazing suit to withstand high temperatures just below the Earth's crust, on the way in and on the way out of the hole.
I do not know how deep down you must go below the Equator before the movement slows enough to cause less friction and bearable heat, because I cant be bothered to work it out. At a guess I would say about one quarter of the entire distance. equal to the distance between the Equator and the temperate Zones on the Earth's surface.
No you would not be suspended in one place or squished by the force of gravity coming at you from the outside in, preventing you from falling out towards the sky.
Gravity is supposed to pull you down towards the center of the Earth, you are planning to knock a hole straight through gravity if it exists, and there are no indications that it does.
This question reminded me of my father who hated gardening and said he planned to dig a hole to bury the garden.
Then and now I wonder where you would put all the stuff you removed from the hole.....lol
2007-12-25 18:14:35
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answer #3
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answered by Anonymous
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first off, you must text in class and not listen. But to butcher the language when you have a chance to actually pay attention to grammar? tsk tsk.
As for your question it will never be possible, but say it was, for the sake of argument.
Sure, digging down would be a breeze. Gravity is pulling you all the way. Easy relative to your trip back up though.
You'd be at the center of mass, where gravity is stronger than even that on the surface of the earth. On that point at the exact center of the earth, gravity would be pulling in all directions at the same time. I would imagine standing there would cause an effect on the human body much like a black hole.
Ever tried to jump up and stay in the air for longer than maybe a second or two?
How about climb out of a dirt hole youv'e dug without any foot holds?
Basically, you'd have to dig up on your trip to the other side of the world.
As for digging at the core, you wouldn't have to bother. The core of the Earth isn't solid. It's quite made of liquid, and is partially is blame for the Earth's tilt, is the "sloshing" of this liquid.
But yes, good luck with that when you get the chance.Might brush up on your oriental languages though. Might as well, because you sure are not speaking ours very clearly. Oh yes, burn your cell phone while your'e down there too. I'm positive your cell phone provider isn't going to service you much.
2007-12-25 17:21:18
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answer #4
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answered by Ian W 2
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Next time can you please write in English, not SMS?
Anyway, you would not be squished. At the very centre of the earth, there is mass all around you. For every bit of matter pulling you in direction, there is another piece of matter pulling you in the other. That means the net effect is zero.
It turns out that the further down you go, you can discard the effect of all the matter on the layer above you. You are only affected by the matter below you.
However, the earth's density is greatest at the core and the force of gravity goes by inverse square of the distance, so it's four times stronger half way to the centre of the earth. So maybe you might get squashed a bit after all.
2007-12-25 16:58:24
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answer #5
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answered by Raichu 6
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You have to realize that even though the center of the earth has extreme temperatures, it also has extreme pressures. So, one person wouldn't be able to dig that particular tunnel because once that person was at the core (or near) they would be crushed by sheer pressure. However, let's say that a person has a particular suit that enables them to withstand extreme temperatures and pressure, like those found at the core. Once this person were to surpass the core, they would need a way to support themselves from falling back towards the core.
2007-12-25 17:00:22
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answer #6
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answered by tailgate 1
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if you assumed it would be possible, then you would not be able to assume that you would be "suspended" or "squished" by gravity. Gravity is an attraction between two objects, so you cannot be squished by it. You could, however, by compacted from the immense amount of pressure at the core.
2007-12-25 16:53:22
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answer #7
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answered by KJH 4
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After you got to the middle, you'd be digging up instead of down. I guess the gravity would suspend you in the middle. Interesting question. Even the world's most brilliant scientists aren't sure what causes gravity to work.
2007-12-25 17:00:04
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answer #8
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answered by doug4jets 7
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First, that will never be possible.
Second, as you dig deeper there will be more mass (earth) above you, hence the gravity will begin to pull from above you, and less mass below you, hence less gravity pulling from below. When you reach the middle you will be evenly pulled in every direction, a bit like zero-gravity, as you pass the core, gravity will build up behind you as there is more mass than in front of you until you reach the surface where it will feel normal again.
EDIT: you can be "squished" by gravity but Earth isnt massive enough to do this to you. At the centre you are suspened with only a slight distance from the centre in the direction of the Sun.
2007-12-25 16:56:43
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answer #9
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answered by Anonymous
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haha I actually asked my physics teacher this question once, he said that you'll fall all the way to the other side, but if you don't grab on to the surface quick, you're going to fall right back where you came from, and I guess that will keep happening until you pull yourself up.
2007-12-25 16:53:12
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answer #10
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answered by Anonymous
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