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Jun 16, 2020 at 11:03 history edited CommunityBot
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Apr 18, 2018 at 20:25 vote accept rsandler
Apr 17, 2018 at 17:33 comment added The Vermilion Wizard The iron ball might have enough velocity to escape the Earth's gravity, but it wouldn't have enough to escape the pull of the magnetic field! A magnetic field this large would require a much higher escape velocity for ferromagnetic objects.
Apr 17, 2018 at 17:27 comment added Willk @AnonymousAnonymous - actually I think the object would no longer be attracted once it was red hot. There is a thermal point where ferromagnetism disappears. The thing would still be moving and so would still have eddy currents, which would serve to slow it down. As it slows, the eddy currents decrease and it would cool, maybe to the point where it was magnetic again. I wonder if this effect would produce a sort of terminal velocity.
Apr 17, 2018 at 14:48 comment added Anonymous Anonymous @Willk Not to mention air-resistance... The heat alone would probably be able to make the air surrounding a hot plasma which becomes then torn apart by the magnetic field (free electrons and protons).
Apr 17, 2018 at 12:58 comment added leftaroundabout @Acccumulation “distance between the poles” is not really a sensible concept for magnets, except for long, linear rods. But such a huge magnet would more likely be rather disk-shaped. You're right, once you reach the length scales of the magnetic source itself, the force won't vary cubically anymore, but it won't vary quadratically either.
Apr 16, 2018 at 22:04 history edited LSerni CC BY-SA 3.0
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Apr 16, 2018 at 20:00 history edited LSerni CC BY-SA 3.0
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Apr 16, 2018 at 19:53 comment added Willk I suspect that any conductive object moving rapidly thru such a field would develop huge eddy currents on the way in, and would melt into liquid from ohmic heating.
Apr 16, 2018 at 19:52 comment added LSerni @rsandler the effects would be negligible (apart from the ferromagnetic attraction) beyond a few dozen miles. Even if I wouldn't bring a hard disk or any device based on magnetism nearer than a couple hundred kilometers. The differential form of the equation is something like $\frac{d^2 x}{dt^2} + \frac{k}{x^3} = 0$ which looks like a speed increase of the fifth order - in the final kilometer you might well be looking at detonation by meteor effect. Not enough for relativistic speeds, probably.
Apr 16, 2018 at 18:53 comment added Acccumulation At distances significantly larger than the distance between the poles, the cubic term dominates, but for distances significantly smaller than the distance between the poles, the quadratic term dominates.
Apr 16, 2018 at 18:30 comment added rsandler @FunkThompson I would love that--I thought about referencing the relativistic baseball, in explaining the "nevermind how it got there" criteria in my question...
Apr 16, 2018 at 18:15 comment added FunkThompson (Not an answer) I want to see the guy from XKCD.com do a write-up of this... with lots of "let's add another zero..." :D
Apr 16, 2018 at 18:15 comment added rsandler This is great. Any ideas about effects outside the 100 mile radius? I think I need to dust off my calculus knowledge and try to work out how fast a typical object would be going by the time it reaches the center. ~20,000 kN at 1km would cause a monstrous amount of acceleration on smallish objects, right? Question is whether they hit the center before reaching relativistic speeds...
Apr 16, 2018 at 16:48 history edited LSerni CC BY-SA 3.0
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Apr 16, 2018 at 16:42 history answered LSerni CC BY-SA 3.0