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Tunneled Earth

What if we dug a tunnel through the center of the earth connecting the two ends (like two poles). Suppose we have these condition in our tunnel.

1:There is no heat at all.

2:The tunnel be vacuumed (there is no air resistance in it).

Questions 1:What if we jump through this tunnel what would happen then?

2:Can we reach the other end of the earth?

3:If yes, How long it would take to reach the other end point?

4:Can we survive through the journey (if the above conditions are applied)?

5:If there is air at the center what would be the pressure at center?

  • Possible duplicates: https://physics.stackexchange.com/q/7346/2451 and links therein. – Qmechanic Nov 26 '17 at 15:02
  • Their are plenty of articles and videos on internet explaining this. I suggest this video to begin with explaining it very simply: https://youtube.com/watch?v=jN-FfJKgis8 – Gornemant Nov 26 '17 at 15:03
  • Gravity train: https://en.wikipedia.org/wiki/Gravity_train#Diametric_path_to_antipodes – Gert Nov 26 '17 at 15:10
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    If there is no friction. You will go in simple harmonic motion as you reach the center. Basically, you will go up and down forever. – LostCause Nov 26 '17 at 15:58
  • @LostCause I think the radial density variations would lead to a slight deviation from simple (mono-frequency) harmonic motion. – JEB Nov 26 '17 at 16:51
  • I assumed uniform density, which would enable me to use center of mass. I just did some back of the envelope calculations and I found that the mass doesn't matter. The equation becomes the SHM equation with frequency sqrt(g/a), and half-time of around 42minutes. The maximum speed at the center would be around 8km/s. I don't have the proper keyboard or I would have shared the equations. – LostCause Nov 27 '17 at 04:11

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