Recent content by Matty R

Thank you very much for your help. I'm feeling quite embarrassed now, though most of the threads I've created here have been about really basic mistakes, so I should be used to it. :rolleyes:

Thanks for the reply. So, erm, is this true: W = - \frac{P_f V_f - P_i V_i}{1 - \gamma} = \frac{P_f V_f - P_i V_i}{\gamma-1} = \frac{P_i V_i - P_f V_f}{1 - \gamma}

Hello I'm really confused with this and would appreciate any help. Homework Statement a) Show that the work done on a gas during a quasistatic adiabatic compression is given by: W = \frac{P_f V_f - P_i V_i}{\gamma - 1} b) Show that the work done by a gas during a quasistatic...

Yup, my example is incorrect. It switches to polars coordinates on the next line and has the root sign there. I'm so rusty with this. I'm stuggling to do the division. :redface: EDIT Its coming back now.

Wow. Thanks for the replies. :smile: I knew it would be something straightforwards like that. I keep overthinking. I completely agree about the notation. The method I've been using looks very messy, so I'll give the method you prefer a go. Just past the bit where I was stuck, the...

Hello. :smile: I understand most of the work involved with these types of questions, but there is one point in an example I'm following that I don't understand. Homework Statement Evaluate: I = \int{(z^2)}dS over the positive quadrant of a sphere, where (x,y > 0). Homework...

Thanks for the replies. :smile: Sorry. I'm still a bit confused. To convert MeV/c to SI Units, do I just multiply the number (ie: 300) by "M" multiplied by "eV"? I thought I was supposed to work it out as SammyS did, but doing that gives a different answer to the solutions. EDIT...

Never mind. I worked out the difference. First equation: L_{0} = Proper Length L = Length in frame moving relative to the rest frame. Second equation: L = Proper Length L' = Length in frame moving relative to the rest frame.

Homework Statement What is the de Broglie wavelength of a neutron traveling with a momentum equal to 300 \frac{\text{MeV}}{\text{c}}? Homework Equations \lambda = \frac{h}{p} The Attempt at a Solution p = \frac{300 \cdot \left( \left(1\times10^6 \right) \times...

Yup. I've got it now. I still had a hiccup, with (m - 1) multiplied by a couple of terms, I tried to fully expand it. I think I understand it now. I found an example applying sin^m(x) in my lecture notes, so I'll use that for applying this integral. Thanks for your help. :smile: I...

Thanks for the reply. :smile: Part of my problem is that I don't understand how to incorporate the limits for something like sin^{m-1}(x). I_{m} = \int^{\frac{\pi}{2}}_{0} \left(cos(x)cos^{m-1}(x) \right)dx Integration by parts I_{m} = \left[sin(x)cos^{m-1}(x)...

Hello :smile: I was hoping someone could help me with this. I'm going round in circles and don't understand how to solve it. Homework Statement The integral I_m is defined as: I_m = \int^{\frac{\pi}{2}} _{0} (cos^m(x))dx where m is a positive integer. By representing cos^m(x)...

Brilliant. Thank you very much. :smile:

Hiya tim. Nice to see you again. :smile: That makes perfect sense. I've managed to get the same answer as the solutions now, and I was wondering if you'd be so kind as to confirm what I did. For the real part: 2e^{-t} \left[(-1 \times cos(3t)) + (3i \times isin(3t) \right] For the...

Hello :smile: I'm currently using past papers to revise for January exams, and I've found a bit of a problem with something I thought I was okay with. Homework Statement The position at time t of a particle undergoing damped oscillations is given by: x = 2e^{-t}\sin(3t). Express...