Recent content by Sobeita

I was reading the Wikipedia page on "Mass in Special Relativity" (http://en.wikipedia.org/wiki/Mass_in_special_relativity) and I came across two equations: M = m/sqrt(1-v2/c2) and p = mv/sqrt(1-v2/c2) along with the following quote: Einstein's comment seems to suggest that the...

Well, thank you for the help. I can't tell if this is the complete solution or not... why do you have to split it into < / > cases? Since you know the velocity of the ball's center as well as the velocity at the point of contact, it seems like you should be able to come up with something like...

Homework Statement I am still - STILL - looking for the rotation-translation equation. You guys have a clue? If a pool ball (radius 57mm, mass 160g) has a forward rotation of 300mm / s and backspin of 6 pi rad / s (which is 1074mm / s at the point of contact)... after one second, what are the...

That may be true, but I think the specifics were just to help us understand the question a bit better. The question itself was to ask whether or not orbit was possible in a magnetic field or if it was somehow just confined to gravitation. That's how I interpreted it, in any case. I've just...

If you used a straight bar magnet, I think that might be better, because the other pole would be way out of the way. Then you could calculate the exact distance where gravity and magnetism cancel each other out, find a speed that forms an orbit, and 'throw' fine iron powder specks in. (I'm...

That was more or less the purpose of posting this question. Is there an equation that can calculate motion due to gravitation, without using some sort of sigma iteration approach?

The standard equation for motion is: X= .5 * ax * t^2 + vx * t (+ cx) Y= .5 * ay * t^2 + vy * t (+ cy) ...and of course, you can expand it to include more axes and more orders if you like. Gravitation is a force, but to use it in the motion equation, you need it in acceleration form...

I made that one up, because I knew the powers of one could be pretty dodgy - I assumed there was some sort of rule (x=y or a=1) that could cover it, but I didn't remember what it was. I just did a search and came up with this page: http://en.wikipedia.org/wiki/Invalid_proof

I guess this problem depends on how strong your esophagus is.

If 1=2, then 2*2*2*2*2^infinity = 1. It would basically destroy everything we know. XD

Ah, that makes more sense. Thank you. :) I've seen some 1=2 problems before, but most of them had a definite error (like (a+b)/(a-b) when a=b) rather than a subtle one like this.

Okay, how about this one? 1^1 = 1; // Exponential identity. 1^2 = 1; // A power of 1 equals 1. 1^1 = 1^2. // Substitution of like terms. 1 = 2. // Exponents are equal if the bases are equal. :)

Yes, I know. It's getting late here. :P I've dealt with them before. I did some interesting work a while ago with complex numbers creating fractals. ( http://soulfox.com/images/images.php ) If the math skeptics ever laughed, it was when they heard about Friendly Numbers... ( http://xkcd.com/410/ )

Thank you, Matt. I was asking about physical representations, though. When would you find the root of a "minus number" in real life? Ah, Tic-Tacs, that makes more sense. I didn't realize they were fully interchangeable like that. Thank you! Edit: @Gerenuk: Wow, that was a very detailed and...

Hello, I have a quick question that I imagine anyone who has studied physics or math at a university can answer rather easily. If not, I apologize in advance for the effort! What is the physical significance of imaginary numbers? I have heard repeatedly that imaginary numbers are relevant...