Recent content by Old_sm0key

Thanks both, however I probs didn't make myself too clear. (I accept the velocity discontinuity @ bounce ie precluding differentiation) I want to derive the s vs t equation, just like I did above, now for ##A\leqslant t< B## to produce the shape shown in plot. Just can't get the right s(t)...

Initial displacement is h above the ground ie ##s\left ( t =0\right )=h##. I've chosen the ground as the vertical origin with upwards as the positive direction. Gravity will therefore always act in negative direction throughout. Here are the graphs I which to reproduce from first principles...

Homework Statement I'm asked to show that the two dimensional plane wave (for constant C) \psi \left ( \mathbf{r} \right )=Ce^{-i\mathbf{k}\cdot \mathbf{r}} satisfies the Schrödinger equation: -\frac{\hbar^{2}}{2m_e}\frac{\mathrm{d}^2 \psi\left ( \mathbf{r} \right )}{\mathrm{d}...

Homework Statement I am currently reading a textbook on solving the Schrödinger equation for the harmonic oscillator using the series method; $$-\frac{\hbar^{2}}{2m}\frac{\mathrm{d}^2 \psi }{\mathrm{d} x^2}+\frac{1}{2}m\omega ^{2}x^2\psi =E\psi $$ It starts by using these two dimensionless...

Homework Statement I am currently part way through a laboratory experiment that utilises basic crystallography to ultimately calculate lattice constants and structure factors for NaCl (we receive formal training in the next academic year via full treatment of von Laue, Bragg diffraction etc). I...

Thanks both. Yes I posted the entire question.

Yes I did think that. Can you offer some guidance please?

Not really I'm afraid. I'm conscious that I don't appear lazy so wish to stress that I am keen to have a good go myself, but thermodynamics has never been my strongest suit, and I cannot see an intuitive route to get to their final result. I computed the integral as: \Delta S_{mass}=MC\ln...

Assuming an *ideal* refrigerator involves an irreversible cooling process of mass M, then \Delta S_M+\Delta S_{surr}>0 ...but how does this help?

Homework Statement Show that the energy, E, that needs to be supplied to an ideal refrigerator to cool a mass M with specific heat C by \DeltaT from an initial temperature T_i is: E\sim \frac{MC\Delta T^2}{2T_i} Homework Equations Carnot efficiency where T_i is the starting higher temperature...

Ok thanks, I still don't follow the justification for establishing these equations, when the observer is in the rotating frame (sat in the satellite measuring the bead's motion). I'll have to leave it I think. But thanks anyway.

NB I edited my previous post to included R+x etc. Please could you clarify what you mean by the above sentence. I still don't understand how one can incorporate the attraction the bead feel towards the satellite COM. Something occurred to me: the gravitational coupling of the bead and the...

Edited RE haruspex's post below: Symbols: {R, M, m_s, m_b} = {satellite orbital radius, Earth's mass, satellite mass, bead mass} Here's where I've got to: assuming a circular orbit of the satellite, N2L says: \frac{GMm_s}{R^2}=m_sr\omega^2 and N2L applied to bead says...

Thanks both. Will have a proper think and post my resulting equations in the morning, and will then likely benefit from some further guidance :)

Thanks all for the input. Will have a proper ponder tomorrow when more awake! Thought it useful to clarify explain my situation: I'm just starting the second year of a physics masters degree in Britain, and so a couple of things mentioned e.g. that Maxwell equation, I look forward to covering...