
What would happen to you if you fell in a hole from one side of the earth to the other side?
Say if there is one hole from one side of the earth to the other side and there was no core in the earth and you were kicked into the hole, would you pop out on the other side of the hole and would gravity push you back to the other side of the hole and would gravity keep repeating that process? Or would gravity from both sides keep pushing down into hole and keep you at the center of the earth?
This question comes up pretty regularly here, so I’ll paste in my previous answer to it. We’re assuming that it’s a nice walled hole all the way through to the other side that protects you from the pressure and temperature, right? -
There are 2 interesting conditions. First, assume it was a hole only, not sealed at either end. If you jumped in, you would reach terminal velocity of about 120mph within a moment or so, and continue downward. Within about 10 minutes, you would start slowing down. The reason is that for every 10 miles down, the density of air would increase by a factor of 10 (it’s the same in reverse going upward until you reach low outer space about 60 mile up, by the way); after about 45 miles, the density of the air would equal that of water – and you would float at that point as if you were in water, and would have trouble trying to swim either up or down, since, unlike water, the density and therefore the bouyant force of air is not constant with depth. You’ll need help to get back out from reaching only about 1/100 of the way to the center.
As a second interesting condition and to solve this problem, you could seal both ends of the tunnel and apply a vacuum. Go through the airlock in a spacesuit and step down. If the vacuum was perfect, you would accelerate to thousands of miles per hour within a couple of minutes. You would accelerate at 32ft/sec^2 until a significant portion of Earth’s mass was above you, and the rate of acceration would begin to decrease, though you still would be travelling thousands of miles per hour. This link
http://hyperphysics.phy-astr.gsu.edu/hba…
calculates that your speed when you reached center would be 7.9km/sec (17,700miles per hour). Acceleration at Earth’s center would be zero. Gradually as you passed center Earth, gravity in the reverse direction will increase. If the vacuum were perfect, you would slow to zero speed just as you popped out the other end. The same link as above calculates the one-way trip as taking 42 minutes. If you don’t grab ahold of something, the cycle will repeat and you will start falling back toward where you started. If the vacuum was very much less than perfect, you wouldn’t quite make it all the way through, and would oscillate back and forth until air friction had robbed you of all your kinetic energy and left you stuck floating weightlessly in the center, waiting for someone to drop you a 4000-mile-long rope. Or you could climb out…
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