Now THAT is cool.
Now THAT is cool.
From the page: "Journey through the center of the Earth"
I like Rick Wakeman's idea better.
Too many assumptions, but ultra-cool anyway. I mean it's something we've all thought about before.
another web site to use for my classes, great
Very interesting!! i learnt a few things from it!!
I am hoping this is a spoof :)
even if you assume the uniform density you'd just end up hovering in the middle
Journey through the center of the Earth
I tried to dig a hole through the earth when I was a kid. I dug a decent width, 3 foot hole before I hit sandstone.
Anyway, here's a simplified version of the physics that would have governed my hole had I wholly succeeded.
Finally, in reviews, people really do like to blather on and show what they do or don't know. Let's keep it germane, stumblers. For reals.
Silencergroup, you're wrong. Very wrong.
Firstly, they do ignore air drag for both objects even it it's not stated explicitly.
Secondly, the object will not continue accelerating at the same rate. It's kind of like Gauss's law, just applied to gravity. If you felt like doing the geometry with an infinite number of point masses on a spherical shell, you would find that all the gravitational forces on a shell around you would cancel out. So if you're inside the earth, all the mass above you doesn't matter and it's like you're being accelerated by a smaller planet with the radius and mass of what's left below you.
Thirdly, and I'm not even sure what kind of point you're trying to make, if an orbiting object loses orbiting circumference, it will simply speed up as its potential energy is converted to kinetic energy. To maintain in orbit (free fall) an object must keep it's centripetal acceleration equal to the acceleration due to gravity. so V^2/R = GM/R^2 or V^2 = GM/R where G is the gravitational constant, M is the mass of the earth, and R is the radius of orbit. As you can see, the velocity is dependent on the radius (in fact, NASA uses this. If you want to pass a satellite in orbit, you simply have to move closer to the earth than it, and you will speed up and pass). If you were forced to slow down (perhaps by some kind of friction) your centripetal acceleration would be less than that of gravity so you would break orbit and you would fall towards earth. You would speed up as you fell, however, and find another radius at which you were in orbit. You wouldn't automatically crash into the earth. In fact, the only reason something crashes into the earth (assuming it doesn't burn up in the atmosphere) is because its velocity is so low that R is less than the radius of the earth.
Conversely, as you speed up, you would require a greater centripetal acceleration to move in circular orbit. Because gravity would be too weak, you would move more linearly until your centripetal acceleration dropped to equal gravitational acceleration again. Escape velocity is the velocity at which your radius would increase to infinity because after a certain point, gravity would be too weak to hold you and you would end up traveling in a straight line. Oh, and there is no "terminal velocity of gravity"
I'm a freshman at MIT and I just passed up an hour nap between english and Physics recitation to write that, I hope you gained something from it because I sure as hell didn't.
Stettin is right, "nerd science"
Cool! But what if you took a terminal velocity on about 200 km/h into account?
I once asked my science teacher what would happen if you drilled a hole through the center of the earth and jumped down it. He told me to be quiet.
Suppose you could drill a hole through the Earth and then drop into it. How long would it take you to pop up on the other side of the Earth?"