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Enthalpy under uniaxial compression of solid

Hello, I have found several references (I can send you the links if you want) that point to the fact that the enthalpy under uniaxial compression along z of a solid is simply given by: H=U+PzV This...

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Deriving the expression for wind velocity around low pressure area

Hi Can somebody tell me the steps and assumptions made in deriving the equation to calculate the wind velocity around a low pressure area ? (see the attachment fro Kleppner & Kolenkow). I tried to...

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Open loop rankine cycle with no condenser

Hello, I'm working on a small scale parabolic trough concentrator project to generate electricity. This electricity is used for pumping water for irrigation,and I want to use an open loop Rankine cycle...

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How do rockets attain high speeds?

The equation relating velocity of a rocket to it's mass is given by v1-v2 = uln(m1/m2), where v1, m1 and v2,m2 are masses and velocities at some times t1 and t2. Assuming a fuel mass to rocket mass...

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Light As a Wave

I've been comparing light as particles and waves in outer space when it occurred to me, if you throw two rocks of equal weight in to a pool side by side the waves created will cancel out. Do stars In...

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Linear and Angular momentum of a rolling object

Hi all: I have been wondering: picture a cylinder sitting above a sheet of sand paper, assume static friction between the sheet of paper and the cylinder. if i start pulling the sheet of paper at...

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How to calculate the charge density in an electric field

I've been studying electric fields in class for some time and one thing is seemingly contradictory and really confuses me. The charge density ρ is related to the electric field E and the permiativity ε...

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A question about the fundamentality of magnetism

I'm sorry if I may be asking an unanswerable question here, but i've looked all through the forums and the internet to find a satisfying answer to why moving electric charges create a magnetic field....

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Reynolds number and its relation to laminar and turbulent flow

So I understand that Reynolds number is the ratio of intertial forces to viscous forces but how exactly does this relate to flow? Why is it that when viscous forces dominate one gets a laminar flow?...

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Trajectory from differentiating action with respect to energy?

Hi... I was looking at the problem of a particle in a Coulomb field in three dimensions. Time-translation invariance and spherical symmetry ensures that the energy and angular momentum are conserved,...

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Weight and buoyancy in air

I was having a discussion with a friend and we could not come to an agreement on the following: If you were to weigh yourself on a very sensitive set of scales, would you register the amount of air...

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Moment of inertia of combined cylinders

Hi, I've attached a word document with my problem since I've used the Mathtype program (sorry, I didn't quite know how to use the tools on this forum), hope you don't mind :) Attached Files Moment of...

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How does a bent wire keep spinning in a magnetic field?

For the basic principle of motors and electromagnetic induction, when a wire loop with a current running through it is put in a magnetic field, wouldnt it only spin until it reached a certain point...

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Electric Field and Magnetic Conversion

In the solutions of a particular problem, it was stated that: <P> = 1/2 |S| = 1/(2μ0) * E^2 / c Where <P> is the average power, S is the Poynting vector. From the above equation does that...

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Principle of Least Action via Finite-Difference Method

I have to be honest, the principle of least action seems to me more of a religious claim one takes on complete faith, though of course I'm hoping this is just because I don't understand it. I tried to...

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Confused on phase diagrams for binary systems (thermodynamics)

I'm confused regarding the phase diagrams of binary systems. Let's suppose we mix 2 liquids, A and B at a given pressure P that won't change during the whole experiment. I raise the temperature until I...

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Constrained Lagrangian equetion (barbell)

Hi! I tried to compute an ideal barbell-shaped object's dynamics, but my results were wrong. My Langrangian is: ## L = \frac{m}{2} ( \dot{x_1}^2 + \dot{x_2}^2 + \dot{y_1}^2 + \dot{y_2}^2 ) - U( x_1 ,...

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Temperature changes and degrees of freedom and intermolecular forces

Hi I have a couple of questions relating to these topic hope you guys can help :) Comparing ethanol and water, ethanol has weaker intermolecular forces than water. However, it has a greater specific...

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Finding change in entropy

In 250gr water at 23 oC(degrees celsius) we throw in 27gr ice at 0 oC. Find the change in entropy. (sorry if that was a bad translation but English is not my native language) The answer is 0.78...

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What limits axial resolution

Hi all, I was wondering what factors determine axial resolution in spherical lenses. I know that axial resolution in conventional light microscopy at least is about half as good lateral resolution....

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