Can we go through the center of the Earth

• Tiome_nguyen
In summary, the conversation discusses the possibility of a ball falling through a hole in the center of the Earth and emerging on the other side. It is determined that under ideal conditions, the ball would be able to reach the other side due to the absence of air resistance and the conservation of energy. However, with air resistance, the ball would eventually stop at the center of the Earth.
Tiome_nguyen
Hello, i need help on this question, i have been thinking about it
assume there is a hole through the center of the Earth , and oxygen is exist so we can breath , if we drop the ball into the hold, is it possible for ball go through the center of the Earth to other side of the hole ?
so what i think is we can't go through the center to other side of the Earth, because gravitational force will pulling ball the center of the Earth so the ball will be stuck in the center of the Earth forever .

Ball will go through to the other side. Gravity at the center of the earth=0. F ~ m/r2. However (assuming uniform density) m ~ r3 (volume within r), so that F ~ r. r is the distance of the ball from the center.

I just posted this recently in another thread:

Superstring said:
For a hole running through the diameter, using Gauss' Law I got:

$$g = -k^2r$$

Where:

$$k^2 = \frac{4}{3} \pi G \rho$$

With ρ being the average density of the earth.since g=a:

$$\ddot{r}+k^2r=0$$

Which is the equation of a simple harmonic oscillator.This means that:

$$r=r_0~cos(kt+\phi)$$Solving for the period:

$$T=\frac{2\pi}{k}=\sqrt{\frac{3\pi}{G\rho }}$$The time it takes to fall completely through the Earth is half the period, or:

$$t=\frac{\pi}{k}=\sqrt{\frac{3\pi}{4G\rho }}$$

So yes, you would be able to fall completely through a theoretical hole and arrive on the other side of the earth, assuming ideal conditions.

"oxygen is exist so we can breath". If there is air in the hole, there will be air resistance so the ball loses energy as it falls. It will not have enough energy to reach the other side of the Earth and will eventually stop at the center of the earth.

Now, if there is no air resistance (the ball doesn't need to breathe!), we have a "conservation of energy" situation. As the ball falls, it will lose potential energy and gain kinetic energy. As it passes the center of the Earth all of its potential energy will be converted to kinetic energy. As it goes up again, its kinetic energy will be convert back to potential energy. With no air resistance or other friction, the total of potential energy and kinetic energy is constant and, due to the symmetry, all kinetic energy will have converted back to potential energy, and the ball will stop, with it gets back to the same level at the other end of the hole. Theoretically, with no air resistance or friction, would continue back and forth indefinitely.

thank you so much for ur the explanations :)

1. Can we physically go through the center of the Earth?

No, it is not possible for humans or any object to physically go through the center of the Earth. The Earth's core is made up of extremely hot and dense materials, making it impossible for anything to pass through it without being destroyed.

2. What would happen if we tried to go through the center of the Earth?

If we were somehow able to reach the Earth's core, we would experience intense heat and pressure that would cause our bodies to disintegrate. The temperature at the Earth's core can reach up to 6,000 degrees Celsius and the pressure can be more than 3 million times the pressure at the Earth's surface.

3. Is there any way to travel to the other side of the world without going through the center of the Earth?

Yes, there are various methods of traveling to the other side of the world without going through the center of the Earth. These include flying in an airplane, traveling by boat or submarine across the ocean, or using satellites for communication and navigation.

4. What is at the center of the Earth?

The center of the Earth is known as the Earth's core, which is divided into two parts: the inner core and the outer core. The inner core is solid iron and nickel, while the outer core is liquid iron and nickel. These materials are in constant motion, generating the Earth's magnetic field.

5. Can we drill through the center of the Earth?

No, it is not possible to drill through the center of the Earth. The deepest hole ever drilled, the Kola Superdeep Borehole in Russia, only reached a depth of 12.3 kilometers. That is just 0.2% of the distance to the Earth's core. Additionally, the extreme heat and pressure at the Earth's core would make it impossible for any drilling equipment to function.

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