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Hallucinogenic Toreador
Nov 21, 2000

Whoooooahh I'd be
Nothin' without you
Baaaaaa-by

roomforthetuna posted:

If you compressed Earth into a point and then checked the gravity force at one now-Earth-radius away from that point, it would be *almost* the same (but very slightly more because the parts of the force that were previously at a 30 degree angle are now all in the same direction).

Actually it is exactly the same; when you consider the compressed earth some parts get closer and some get further away, but when you do the math it all cancels out and you can just treat gravity as coming from the centre of mass. (for a spherical body, which earth isn't exactly, but you get what I mean)

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Hallucinogenic Toreador
Nov 21, 2000

Whoooooahh I'd be
Nothin' without you
Baaaaaa-by
Another fun counter-intuitive example is that if you're inside a hollow spherical shell all the mass cancels out and you experience zero g, even if you're not at the centre. https://en.wikipedia.org/wiki/Shell_theorem

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