The thing is, the integral of the whole expression is supposed to divide out to 1. The integral is supposed to end up being the inverse of the constant you pull out when you integrate, giving you a 1/1 or 1 answer. This suggests that standard integration techniques won't work, because the when...
hmmm...
Yeah, those were the methods that I used to integrate it, integration by parts, substitution, and taking the limit. I talked to my Calculus 3 teacher yesterday about it, and she said it was something like a complex integral where you can't just solve it using those methods...or...
Ooops, sorry. The integration is from zero to infinity. I'll type in what I've done so far if someone can tell me how to get the integral and various other mathematical characters in the post, it's much easier that way. But so far my methods have included substitution, integration by parts, and...
Could someone show me how the integral of f(v) equals 1, where f(v) is
(4/(Sqrt Pi)) x (m/2kT)^(3/2) x (v^2) x (e^(-mv^2/2kT))
I got through the integral and it didn't equal 1, but it's supposed to, so could someone help me out.
My question concerns gravitational time dilation and time time dilation due to motion. If an outside observer views a person falling into a black hole to stand still when the person falling into the event horizon due to time standing still at the horizon, then why don't particle physicists view...
hmmm...
Ohhh, I see. Since time doesn't exist for the photon, but how would time dilation effect it's motion as viewed by an observer. I've read of many examples of where an object such a person falls into a black hole and experiences time dilation so severe that an onlooker would see the...
I know that the speed of light is constant no matter the speed of the observer, my question deals with the effects of time dilation on a photon moving at light speed. A photon at light speed would experience 100 percent time dilation due to it's velocity, therefore, shouldn't it appear...
The first of my two questions concerns the aspect of SR that deals with the mass of an object increasing as is moves faster and faster (or more appropriately, as the energy gets larger and larger). I'm a novice when it comes to higher level physics, and everything I know comes from reading books...