Derive Definition and 591 Threads

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Hey folks, I really need help setting up a canonical ensemble. I am using the einstein model and have an energy: E_\nu=A + \sum_{i=1}^{2N} \hbar\omega n_i+\sum_{j=1}^{N} \hbarh\omega n_j where A is some constant. Now, I need to build the partition function which I 'think' looks like...

in a recent paper in am.j.phys. an Author claims that he derives the addition law of velocities based on time dilation and length contraction. my oppinion is that time dilation suffices. what is your oppinion?

For a triangle with sides a,b,c and its corresponding circle with radius R: \frac{a^2b^2}{c^2} +\frac{a^2c^2}{b^2}+\frac{b^2c^2}{a^2} \geq 9R^2

I have a system of two PDEs: y_t+(h_0v)_x=0 \quad (1a) v_t+y_x=0 \quad (1b), where h_0 is a constant. Then I want to show that (1) has traveling wave solutions of the form y(x,t)=f(x-ut) \quad (2a) v(x,t)=g(x-ut) \quad (2b), where u is the propagation velocity...

Question 1: A ball is dropped from the top of a building and it strikes the ground with a speed of v m/s. From ground level, a second ball is thrown straight upward with the same initial speed of v m/s at the same instant that the first ball is dropped. Ignoring air resistance, determine at what...

THe Question asks 'Derive the entropy of an ideal gas when its molar specific heat at constant volume is constant.' So I've taken \Delta S = \int_{S_0}^{S} dS = \int_{T_0}^{T} \frac{\partial_S} {\partial_V} dT + \int_{V_0}^{V} \frac{\partial_S}{\partial_V} dV in this context what...

Hi, The kinetic molecular theory of ideal gasses is a topic that we have to study in both our Physics and Chemistry syllabus. A part is deriving the kinetic gas equation PV = \frac {1}{3}mN<v^2> froom the postulates of KMT. However, of the 3 Physics and 2 Chemistry textbooks I've...

I would like to derive gamma(v), by starting with the galilean transformations for x and x'. Knowing that t=t'=0, if a light pulse is emitted at the origin of S then the ratio t'/t should somehow be eliminated from the two equations. From there, one can obtain gamma(v). Any ideas?

Pls derive the time-independent schrodinger equ from the time-dependent equ.? Thanks! Anyone has any sugestiond on how to approach this? -\frac {\hbar^2} {2m} \frac {\partial^2 \psi(x,t)} {\partial (x)^2} + U\psi(x,t) =i\hbar\frac{\partial\psi(x,t)}{\partial (t)}

Hi, I am very eager to know how to derive e=mc^2. I am sure that you all would be knowing how to derive the world famous equation E=mc^2.i know the basics but still it is a tough job to explain that. But I am hoping that you would send me a reply as soon as possible. Thank you

DJGriffiths, 3rd ed., Prob 1.37: derive the \hat{r}, \hat{\theta}, and \hat{\phi} unit vectors in terms of \hat{x}, \hat{y}, and \hat{z}. I know the formula and how to find them, but derive them?? ...unless this is what is meant? tia, -LD

i know that that the limit of this expression is e, but i don't know how to derive it... i will be really grateful if someone could help me solve this problem

I'm taking cal 2 right now and i missed the part in cal 1 where he talked about "log theorem". Now this guy tells us that he's lazy when he corrects exams and if we don't use the log theorem to derive a term then he won't correct that term. I've looked on the net but couldn't find explanation or...

Hello, I have very interesting physics problem. But i really have no idea how to solve it... Maybe somebody can give me some useful hints? Here we go: "Air drag (air resistance, drag) is a resisitvie force which is the result of a moving object colliding with air molecules. Dervie the drag...

In the same way that it is possible to derive most trigonometric identities from the addition formulas, what is the way that the difference of sines and cosines formulas were derived, such as \sin{a}-\sin{b}=2\cos{\frac{a+b}{2}}\sin{\frac{a-b}{2}} thanks, I am trying to avoid as much...

A question that I've spent hours on, but still can't seem to extract friction from it: 10.) A flight attendant pulls her 70.0N flight bag a distance of 253m along a level airport floor a a constant velocity. The force she exerts is 40.0N an angle of 52.0 Degrees horizontal. Find the...

How do you derivate this: x^(x/8)=4x Can anyone help?

Does anyone know a website that will derive the force from different spring configurations, i.e. two springs in series with different spring constants. I would just like to be able to understand and work with any combination of springs: two in series, connected to 3 in parallel connected to one...

The forumula for 2¶r can intergrated to make ¶r^2 (at least I think). So can anyone derive the volume of a sphere 4/3¶r^3?

I'm asked to derive the mathematical expression for the erlationship of centripetal force as a function of T, m, and R. I've found, from data, that F=0.615/T^2 = 0.05m = 1/4R how would I bring it all together to form one equation involving T^2, m, and R? Any help, thanks.

Hi guys, Need a spot of help as i can't seem to find where to go next :( Ok, so there is a source which emits beta particles (currently unknown whether they are positrons or electrons). It can move at an angle +/- 90 degrees to the GM tube. I need to find an expression for the energy of the...

A circular cone is inscribed in a sphere with a radius of 30cm. The semi vertical angle is theta. Derive a trigonometric equation for the volume of the cone. This has be stumped. I tried looking up proofs for the expression of the volume of a cone for inspiration but all involve calculus.

I have a box at rest on a plane raised to the critical angle. I need to derive the formula \mu_s=mgtan(\theta) I know f_s/n=\mu n=f_y=mgcos(\theta) f_s=f_x=mgsin(\theta) This leaves me with tan(\theta)=\mu cause the mg cancel out... what did I do wrong?

Pretty much like the title says. I'm having a hard time finding where the formula: d=1/2gt^2 comes from. Any help would be greatly appreciated.

I'm having trouble with this question. It's from Rindler's Introduction to Special Relativity which I'm going through myself. I'm just starting to learn about tensors. <<<<i) A vector A^i has components \dot{x}, \dot{y} in rectangular Cartesian coordinates; what are its components in polar...

Hi! How to relate the Young's Modulus with the coefficient of linear thermal expansion? It is known that they are inversely proportional to each other, but how to prove this?

(Projectile Motion)How to derive the equation?? I made a device which use elastic band to launch a ping pong ball. I have measured the distance traveled with different length of stretch at constant 36 degree launch angle. The graph plotted out is kind of curved, not straight line. And now I am...

I've been trying to derive the Roche Limit and have been successful for the most part but out of curiosity i was wondering how the tidal force equation was derived to be: -2GMmr/d^3 ?? Also on a related note i always get the constant at the front of the Roche Limit equation to be the cube...

I am programming a software which generates random (or close too) numbers. I am adding a multi-player feature to it. I ask the user how many players there are (variable P'), and how many turns in a row each player gets (variable e, for every). I also know the total amount of global turns that...

when we derive a formula for blackbody radiation, we say that each electromagnetic mode has energy nhf, n is an integer, h is Planck's constant f is the frequency of the radiation. We interpret n as the number of photons per mode. However, a deeper QM analysis involves replacing the...

How do we derive the equilibrium constant formula? ie: Kc= [C]^c*[D]^d/ [A]^a*^b Thanks in advance. :smile:

Can anyone derive the equation e=mc2 for me. :approve:

I didn't know where else to post this, so sorry if this is the wrong subforum. Anyway, I bought myself a physics textbook for self-teaching purposes. I decided to take a look at its Fields chapters, and now I know how to derive Coulomb's Law using F=eE and Φ=∫ E dS. Right, so how advanced is...

Using the fact that z=e^ibeta and the identity 1 + z + z^2...+z^n=1-z^(n+1)/1-z Help me derive 1 + cosbeta +cos2beta + ... +cosnbeta= 1/2 + sin((2n+1)beta/2)/2sin(beta/2) where beta is between 0 and 2pi

Hey everyone, I am doing relativisitc physics right now, and in my notes the following formula was derived. t' = t\sqrt{1- \frac{v^2}{c^2}} they use two main pictures to describe this, http://aci.mta.ca/Courses/Physics/4701/EText/TimeDilation.html they are. I am just wondering if...

Setting the Stage: A uniform sphere has a mass of 100 kilograms and a radius of 10 meters. It is located at [0,0,0] It is in static equilibrium. We are in constant time. We are in a vacuum, there is no gravity, friction, or any other forces to act upon our sphere. We are using a...

Origin and escalation of mass-energy equation E=mc^2 Ajay Sharma Community Science Centre. DOE. Post Box 107 Shimla 171001 HP INDIA Email physicsajay@lycos.co.uk , physicsajay@yahoo.com Einstein’s...

My Physics teacher wanted me to understand how to derive a=v^2/r using the equations v=d/t, \omega=\theta/t and arc length=r\theta but when it came down to it, i had brain freeze..and when my teacher looked at it, he had brain freeze. This isn't part of my syllabus but i was wondering how you...

I really need someone to answer this by tomorrow 12/01 10:50 am pacific time... 1) Derive the following, for any integer k. infinity SUM OF: 1/(n^(2k)) = ((2(pi))^(2k)(-1)^(k+1)B2k ) /(2(2k)!) n=1 where Bn is defined by the following, for |x| < 2(pi). ````````````infinity (x)/(e^(x)-1)...

Realy Confused? I’m really confused. I have 2 questions and I was wondering if anybody can help me. (1) First question: to Derive the equation Vi/Vtot = robject /rfluid . The only other information given is a picture of an oval vertical shaped object that by looking at the picture is...