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Potential of spherical charge distribution

I want to derive this equation: [itex]V(r) = \frac{1}{\epsilon_0} [\frac{1}{r} \int_0^r \! r'^2 \rho(r') \, d r' + \int_r^{\infty} \! r' \rho(r') \, d r' ][/itex] of a spherical charge distribution. I...

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sign of potential energy of SHO

Suppose the particle is at distance x from mean position and moving away . The standard formula for calculating potential U is U=-w here wis the work w=kxdx when the particle is moving away .On...

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speed of object when gravitational force acts between two object

Suppose I have two object. One is 1 kg and other one is 2 kg. And separation between two object is 10 m . By gravitational force both objects attracts towards each other with some speed. But i want to...

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Density of moist air at high temperatures?

I've spent hours trying to understand conceptually how to find the density of moist, hot air at high temperatures, eg at 600° C. Any help would be great. This is not a homework problem, but I'm...

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Relationship between single particle partition function and V

Why when the particles are nonlocalized, the single particle partition function is directly proportional to V, namely the volume of the system, and when the particles are localized, the single particle...

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Pendulum with not homogeneous attraction

I would like to study a pendulum, not on Earth but only with one fixed mass attract a ball. Considered this fixed mass like a point. No friction on this theoretical study. The ball can move only around...

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Objects spinning and flow

If two balls were close to each other in a pool of water and each had some angular momentum but one was spinning one way and the other was spinning the other way what would happen? same question for if...

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Vectorial kinematic in cartesian and polar system/notanion

I was trying to study vectorial kinematics in all its fullness, without decorating formulas, only deducting all vectorially through mathematical definitions. I felt much difficulty, because it's a...

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Reason for a black hole's gravity?

Hey, we all know that when a massive star dies it forms a black hole - an object with a great amount of gravitational force. So where does this gravity come from ? Because according to newton's...

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PHYSICAL explanation of light reflection by metals

Electric field of an electromagnetic wave incident on a metal accelerates free electrons, and these accelerating electrons then emit radiation opposite to the electric field of the wave, thus reducing...

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Potential energy vs position graph w/ total mech. energy?

Ok, I've been trying to soak up the MIT physics material, but I am stuck on something and it is driving me crazy. They have several questions about graphs of potential energy vs. position, which also...

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Plasma Filamentation

Hi guys, To celebrate my 29th post (I know!) I wanted to ask an extra-good question, something I've been meaning to ask for a long time... So, following on from my previous post 'Plasma Condensation'...

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Concept question about electric force

If I comb my hair with a rubber comb, the comb can be used to pick up small bits of paper on a desk. This says that there is a force between the comb and the paper bits. If the paper bits are uncharged...

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Why is ΔG=0 at equilibrium

Using this graph: http://postimg.org/image/vkv0ho8yb/ As the reaction proceeds it stops at the equilibrium as it has the lowest Gibbs energy. However, I don't understand why ΔG=0 at that point. As...

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Coffiecient of mutual induction

I just can't understand how is emf = -M delta intensity/delta time derived from emf = -N delta phi m / delta time I need to prove that equality, and I want to know what are the factors that affect the...

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Air resistance upon a spinning block

I came up with this problem, and solved for it, but I do question its accuracy, and id like to know how I could make it a better model. (it is not a homework problem) So, a block, of dimensions a...

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Wire cutting magnetic field lines

I have read in my schoolbook that when a wire of length l moves at velocity v in a magnetic field cutting the flux lines an emf is induced which it is calculated from emf = blv, I understand that emf...

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Virial Theorem and Energy of a Two-Body System

Hi all, I want to make sure I am understanding this correctly. Say we have two identical particles orbiting (in circles) about their center of mass. We know that the average potential energy is -2...

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Worded definition of momentum

I know Newton described it as 'the quantity of motion' but are there any other more descriptive or better definitions? Thanks in advance!

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Frame of reference in a simple harmonic motion vertical spring

I have doubts of how can I put my frame of reference in a simple harmonic motion vertical spring. Normally the books choose the origin in the equilibrium position and the positive distance (x>0)...

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