Recent content by Petrushka

I don't know about the pressure terms in Fourier space. What do the 'p' terms represent if they do not represent pressures? The (\vec{u}\bullet\nabla)\vec{u} term does indeed represent an acceleration. Both terms on the left hand side of the N-S equations represent acceleration. The first...

The answer is 1/gamma. Method: Q=0. -W = U2 - U1 W = pV (where V is the volume of the bottle) U1 + pV = U2 H1 = U2 => (initial mass) * Cp * T1 = (final mass) * Cv * T2 T1 = T2 (not sure about whether T1 does actually equal T2) thus (Final mass) / (Initial Mass) = Cp / Cv = 1/gamma

I've been grappling with this problem for days, but can't produce the answer. The problem can be summarised as follows: We have a bottle containing a certain quantity of a perfect gas whose ratio of specific heat capacities is gamma. The pressure in the bottle is doubled by the admission...

I had a physics exam today in which we were presented with a model of a hydrogen atom with a single electron orbiting a single proton. We were told the radius of the "orbit" of the electron, and subsequently had to calculate the electrostatic force between the proton and the electron and the...

I see. Having read a bit about the Lambert function on Http://www.mathworld.com it doesn't make much sense to me. Is the following value: x_{1}=-W(-1) ...a complex number, or something entirely different?

x\multsp =\multsp {{e}^x} I'm aware there's no real solution, but does any complex solution exist?

That looks a bit like a sin^2 graph to me. If you plotted y= (sinx)^2 then you would get something very similar to that..

You may well be able to do that, Zurtex, and I also don't see why it wouldn't work, the only trouble is that it wouldn't prove the relation I was asked to prove. I managed to solve it (with help from maths teacher) using a very clever trick indeed. The solution is as follows if anyone is...

Thanks for the swift responses guys I'll have a go at that tomorrow.

I'm trying to find an integration reduction formula for the following equation: {{I}_n}=\int _{0}^{2}{{\big(4-{x^2}\big)}^n}\delta x Any indication on how to begin would be much appreciated as I've tried many different approaches but all have ended in failure. Thanks

The photons have no rest mass, but they do have energy (kinetic energy). Therefore when the photon collides with the atom, I presume it would transfer some of this kinetic energy to the atom which could heat it up.

Are you sure about that? That value of x certainly doesn't work in my calculator, or on Mathematica.

I'm sure there are many better able to answer this question but I'll have a go. The Higgs Boson is a particle theorized by Peter Higgs. My (decidedly basic) understanding of it is that all particles that have mass also possesses Higgs Bosons and as such they feel something known as the Higgs...

I agree with Jin. I found that as I took maths to higher levels, it became harder to teach myself the material but got on with it much better when it was taught to me by someone else.

Is anyone allowed to divide by 0 now, or just you n0n?