Hole straight through the Earth?

In summary, if a hole is somehow made to pass straight through the center of the Earth, and out on the opposite side, an object dropped down the hole from one side will oscillate back and forth through the center of the Earth. The action is similar to a pendulum, and will slow down only through friction (air resistance).
  • #1
Holocene
237
0
If a hole is somehow made to pass straight through the center of the Earth, and out on the opposite side, what would happen to an object dropped down the hole from one side?

Would it stop and "hover" at the center? Or would it fall straight through to the other side, and than fall back again and again?
 
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  • #2
It will oscillate back and forward because there is a kinetic energy involved.
 
  • #3
The action is similar to a pendulum. It will slow down only through friction (air resistance).
 
  • #5
Oscillate back and forth through the center of the earth.
What will happen is when it will reach the center, it will possesses enough kinetic energy and will pass through the center.
Then it will slow down, building Potential Energy and will stop after emerging at the other side.
Then it will fall again, and the cycle will continue...

Important assumptions made are.
1)There is no air resistance.
2)Earth is a perfect sphere.
3)Mass is distributed homogeneously throughout the earth.

All are actually false and the first two will start affecting the motion and will start opposing its motion, so that, each time it stops before emerging out the other surface and will start slowing down.
This dampening will continue and after a huge amount of time, it will virtually stop at the center of the earth.
 
  • #6
If you work out the force on the dropped object as a function of its distance from the center of the earth, you will find that it is a linear relationship (i.e., F = k * x), so it would be simple harmonic motion (this is, of course, neglecting air resistance).
 
  • #7
It will hit the Eastern wall of the hole.
 
  • #8
Granted this is a thought experiment, but Lurch mentions a wrinkle that I'm surprised no one else has: the Earth rotates. In the ~90 minute passage of the dropped object, the Earth will have rotated 22.5 degrees. The object will collide with the wall of the tunnel.

You'd have to do this experiment along the polar axis.
 
  • #9
lurch mentioned a good point...
 

1. What is the concept of "Hole straight through the Earth"?

The concept of "Hole straight through the Earth" refers to a hypothetical scenario in which a hole is dug from one point on the Earth's surface straight through the center of the Earth, and out the other side. This would create a tunnel that passes through the Earth's core.

2. Is it physically possible to create a hole straight through the Earth?

No, it is not physically possible to create a hole straight through the Earth. The Earth's core is made up of extremely dense and hot materials, making it impossible to dig through. Additionally, the pressure and temperature at the Earth's core would be lethal to any living thing attempting to dig through it.

3. What would happen if a hole was actually dug through the Earth?

If a hole was actually dug through the Earth, gravity would cause objects to fall through the tunnel and oscillate back and forth between the two ends. The time it takes for an object to complete one full oscillation would depend on the density and composition of the Earth's core.

4. Would a hole straight through the Earth create a shortcut for travel?

No, a hole straight through the Earth would not create a shortcut for travel. The distance through the Earth's core is actually longer than the distance around the Earth's surface. Additionally, the intense heat and pressure at the Earth's core would make it impossible for any type of transportation to pass through the hole.

5. Are there any real-world applications for the concept of a hole straight through the Earth?

No, there are currently no real-world applications for the concept of a hole straight through the Earth. However, the idea has been explored in science fiction and has sparked curiosity and imagination in scientific discussions and theories.

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