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A few assumptions: First, you emphasize that you jumped off, which I admire too much.
Also, get rid of Comrade zcxbest, the distribution of gravity that I learned in junior high school physics may not be so balanced as theoretically, the earth itself is an irregular sphere, and the distance from the south pole to the center of the earth may be greater than the distance from the north pole to the center of the earth. This kind of problem cannot be solved by junior high school physics alone, and it will obviously involve geography and astrophysics.
Of course, some assumptions are just for fun, and you don't have to think too much about it.
1.Always rolling directly in the passage, moving back and forth near the center of the earth like a pendulum, the distance and speed of the movement will gradually decrease, and eventually it will stop at the center of the earth, and never get enough power to break out of the holes at the poles. The inertia is not so great, and the inertia formed after passing through the center of the earth is not enough to counteract gravity for the same length, not to mention that in a long-distance fall, there should be a huge loss of mechanical efficiency.
2.People will burn to death. Friction generates heat, and if a certain distance is passed at high speed, the high-speed air flow will also burn the object out.
3.The moment you pass through the center of the earth, you will be trapped by the gravitational pull of the center of the earth. With such a large mass of the Earth, the force of the center of gravity, that is, the gravitational pull of the center of the Earth, is of course terrible, and overcoming the inertia generated by a person is not a problem at all.
A meteorite that is close to a celestial body will change its orbit due to the huge gravitational pull of that celestial body. Is it possible for a tiny object that reaches the center of a planet to escape the attraction of its center of gravity simply because of inertia? The mass of human beings is much smaller, and the kinetic energy or inertia you generate, even if magnified hundreds of millions of times, is not enough to compete with the forces of the center of the earth.
4.Fly out of the South Pole. If you're lucky, the inertia is too great and you keep flying out of the earth, you become a new space junk, and you can go and realize your dream of conquering the universe.
Fly far enough and the Earth will not be able to bind you, and the farther away from the center of the Earth, the less gravity will exert and gravity will become smaller, and the easier it will be to overcome gravity. If the initial momentum is high enough, you will find that the speed will get faster and faster as you move away from the center of the earth, because the momentum is still sufficient away from gravity, and your weight gradually decreases.
5.When detached from the center of the earth, when the force is less than the gravitational force, it is directly sucked back to the center of the earth.
6.This hole will not have. Because the North Pole is located in the Arctic Ocean, water from the Arctic Ocean flows through the hole and the sea level drops. When the passage through the center of the earth is filled with water, it is difficult to predict the situation of jumping.
7.Climb out of the South Pole. The speed is fastest when it first passes through the center of the earth, and the farther away from the center of the earth, the more power consumption and the slower the speed, and the probability of finally successfully escaping the South Pole is relatively small.
8.Coming out of the South Pole, there may not be survivors. The diameter of the earth is huge, and presumably the length of the passage is also a factor.
The rate of descent relying only on gravity is too unrealistic, and it may take more than a month to travel to the center of the earth when it falls. You're jumping alone, not an expeditionary group, and you don't have a large cabin, and the small amount of food you carry with you can't last long**, and you're likely to starve to death.
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The question is not very clear.
If it is a case where air resistance is not taken into account, then it can be reached. Whether the head comes out first or the feet come out first depends on whether you jump with your head or your feet first. The one who goes down first comes out.
If you consider the problem of air resistance, then it will not be there. At the time of your jump, the kinetic energy is zero and the gravitational potential energy is maximum, let's say k-joules. In the process of your falling, due to the air resistance, a part of the energy will be converted into internal energy (your own and the surrounding air) through friction work, which will increase the temperature, and at this time, according to the law of conservation of energy, the sum of energy will not change (for k-joules), and a part of it will be converted into internal energy, which is the total amount of mechanical energy decreases, that is to say, kinetic energy + gravitational potential energy k-joules.
Assuming that the Earth is a regular sphere, then your gravitational potential energy at the South Pole and the North Pole should be the same, both k-joules. And kinetic energy + gravitational potential energy kjoule, when the kinetic energy is zero, the gravitational potential energy kjoule, that is to say, you can't reach the South Pole (energy is not enough).
Also, the several hypotheses put forward by the Crusaders, 2, 3, 4, 7, 8 are complete nonsense, and those who have studied physics in junior high school will understand. (at least you will understand the law of conservation of energy).
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First of all, you can't dig such a hole, the average thickness of the Earth's core is about 3,400 kilometers, and the outer core is liquid and flowable; The inner core is solid and is mainly composed of metallic elements such as iron and nickel. The center density is 13 grams per cubic centimeter, the temperature can reach up to about 5,000, and the pressure can reach up to 3.7 million atmospheres.
So if you can dig such a hole, then there is no gravity, then this is just a long tunnel for a day, you can get to the South Pole, first in first first out!
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I think it's a question of whether friction needs to be considered, and if not, then it can be reached, and the velocity is exactly zero when it reaches the South Pole, and from then on it moves northward, and from then on it goes back and forth. Upward and downward is a symmetrical process. If friction is taken into account, then you can't get to the South Pole.
Because the process from the North Pole to the center of the sphere, only by the action of gravity and friction, and the two are reversed, regardless of the slight change of friction, the resultant force is less than the sum of the magnitude of the two forces, after reaching the center of the earth, and then go down, the friction force and gravity are in the same direction, and the resultant force is equal to the sum of the two forces, according to the kinetic energy theorem, first assume that it can be reached, the size of the resultant force is not equal, but the distance is the radius of the earth, and the velocity is already negative when it reaches the south pole (assuming that the south is positive), that is, to the north. So you can't go to Antarctica.
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No, you're going to get through the center of the earth, and you're going to get the exact opposite of the gravity of the previous one, but because of inertia, you're going to keep moving like the South Pole, but then you're going to be pulled back and forth by gravity to the center of the earth, and so on, and so on, you're going to move back and forth near the center of the earth.
In addition, if you fall into the depths of the earth, the gravitational potential energy must be very large, and at this time, even if the hole is a little angular or tilted, you will die.
And even if there is no high temperature in the center of the earth, your kinetic energy is very high, and friction with air can also produce a high temperature.
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If you don't think about drag, you can reach the South Pole, and whether it's head-first or foot-first depends on how well you control your attitude in the air.
It is also important to state that in order to emerge from the South Pole, either the Earth must be assumed to be a perfect sphere, or the elevation of the South Pole must be less than or equal to the elevation of the North Pole.
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If you don't take into account the high temperature, high pressure and resistance of the earth's interior, you won't be able to get there, because the gravitational pull of the earth on you is directed towards the center of the earth, unless you are climbing up after reaching the center of the earth, of course, the head comes out first. That's a good question, and it does have content.
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Once you've crossed the center of the earth, you're crawling out.
Because the gravitational pull of the earth on you is directed towards the center of the earth.
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You'll never be able to jump.
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The first in the first in the first out,
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You'll stop at the center of the earth.
Because in the center of the earth you have zero gravitational pull.
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The rotation of the earth is not taken into account in the revolution and air resistance temperature.
Then an object tied to a spring will vibrate back and forth, accelerate to the center of the earth at its maximum speed, and then slow down until it reaches the ground opposite the earth, and then fall back again, and so on.
Considering the resistance, do damping vibration, that is, the amplitude of the vibration is smaller, and finally stop in the center.
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The movement of the ball in the tunnel is simple harmonic vibration, and the specific process is best deduced by yourself, I believe that since you have come into contact with such a problem, the basis will not let the quiet difference high slide cavity, you should be able to solve it yourself. I won't ask if I have time to add to the shirt.
The relationship between the restoring force and the displacement is calculated f=-kx
The period is calculated using the simple harmonic vibrational periodic formula, which is a quarter of a period from the surface to the center of the earth, i.e., t 4
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The iron ball will vibrate (not necessarily simply harmonic oscillator) in the direction of the radius of the Earth's polesHere's why:
The gravitational pull of the ball is greatest when it is at the north or south pole (because every particle that makes up the earth has the same gravitational pull towards the ball), and similarly, the gravitational force at the center of the earth is zero (symmetrical in all directions).This results in a spring-like oscillator-like model: at the poles, the velocity is zero, the recovery force is maximum, and it points to the center of the earth; In the geocentric position, the velocity is maximum, and the regeneration force received is zero.
If drag, then this is a damping vibration, and eventually the iron ball will stop at the center of the earth.
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then aob=30°=90°
aoc=30°+90°=120°
That is, the spherical angle of points A and C is 120°, and the spherical distance of points A and C is 120?π?r2πr
That is, the spherical distance from the point on the circle of 30° north latitude to the south pole is 2 r, so c
Don't simply look at things as they look!
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