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0
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1answer
21 views

Working out length of taut rope orbiting the earth remaining straight and radially directed

A taut rope is orbiting the earth with angular velocity $a$. It remains straight and radially directed. If the midpoint is located at radius $r$, find the length of the rope. I can't even imagine ...
0
votes
0answers
15 views

How to calculate the potential energy of a magnetic dipole (with zero torque)

In the following problem, I would like to know how they arrived at their solution for finding the potential energy of a magnetic dipole (boxed in red). I understand I probably have to use the ...
-2
votes
0answers
14 views

Electric field calculation and its graph vs x

Electric field along the line passing through two point charges, A point charge $Q_1= +3 \mu C$ is placed at the origin and a point charge $Q_2= -7\mu C $is placed at $x=0.4 m$ on the $x$-axis of a ...
2
votes
3answers
46 views

Does my (too low) tire pressure, affect the speedometer of my car?

Does my (too low) tire pressure, affect the speedometer of my car? How big is this effect?
0
votes
0answers
14 views

Nuclear medical physics [on hold]

How do you calculate the half life of daughter isotope (in secular equilibrium) Given a table of countrate(cps) and time (min). Like: Time (minutes) Count Rate (cps) time (min) Count Rate ...
-4
votes
0answers
27 views

Electric circuit question [on hold]

A 100W bulb is connected in series with a room heater.If now 100W bulb is replaced by a 40W bulb,the heater output will (Decrease) (Increase) (remain same)? And explain why?
0
votes
1answer
74 views

Commutator and Hamiltonian

Assume that $[\hat{A},\hat{H}]_-=0$ and $[\hat{B},\hat{H}]_-=0$ but we know that $[\hat{A},\hat{B}]_-\neq 0$. Then there exists degenerate stationary states of $H$. How to prove it?
0
votes
1answer
21 views

Continuity equation for charge and current densities of an accelerated point charge

For a point charge that moves with the trajectory $ \vec r(t)$, we know that it has the singular charge and current densities $$ \rho (\vec x, t) = q \delta^3(\vec x - \vec r(t)) $$ $$ \vec J(\vec x, ...
0
votes
1answer
36 views

Determining the path of a light ray

Let's consider a ray in the plane $xy$. Let the refractive index be defined in any point of the plane with the function $n(x,y)$. In time $t=0$ the ray is located in coordinates $(x_0, y_0)$ and its ...
0
votes
0answers
22 views

Find the acceleration of a stirrer [on hold]

Question: There is a fixed 55 cm long rod (vertical) that is charged uniformly up to +137 nC, Place a 0.5 g plastic 6 cm long stirrer (horizontal) that is charge to +93 nC, 2.3 cm away from the rod ...
0
votes
1answer
28 views

Is this the correct entropy? [on hold]

In order to take a nice warm bath, you mix $50$ liters of hot water at $55^{\circ} C$ with $25$ liters of cold water at $10^{\circ} C$. How much new entropy have you created by mixing the water? What ...
0
votes
0answers
26 views

Find resistance of inductor in series RLC circuit

We have a resistance of 350 Ohm, an inductor of 0.15H and a capacitor of 10 microfarad, connected in series to an AC source of voltage 240 V and frequency 50 Hz. The measured effective voltage over ...
0
votes
1answer
30 views

Derive the Sackur-Tetrode equation

How do you derive the Sackur-Tetrode equation? I know that you must start off with the multiplicity of a mono-atomic ideal gas: ...
-1
votes
1answer
27 views

Parabolic slide [on hold]

Can you give a big hint for this problem please? A material point is released at the end of a track in the form of a vertical arc of parabola $y = x^2$ in $[-1,1]$, the meter is selected as a unit ...
0
votes
0answers
29 views

Determine the speed of balls after collision [on hold]

I am sorry for my English it is not perfect at this moment but I hope you will understand my question. I have a problem with solving this exercise. The two balls of the same density and radius r and ...
1
vote
1answer
39 views

Circular motion from rest [on hold]

A particle $P$ is suspended from a fixed point $O$ by a light string of length $a$. When hanging at rest under gravity at $A$ it is given a horizontal velocity $u$. The particle moves freely in a ...
0
votes
0answers
31 views

Simple question. Where to find coefficients of friction? [on hold]

I am trying to calculate the force the Terracotta Warriors apply to the Lykan Hypersport in the Fast and Furious 7 movie. I am trying to find the frictional force of the statues applied against the ...
0
votes
0answers
20 views

Calculate small small oscillations of a pendulum

The system is setup as follows: A point $O_1$ moves along the $x$ axis with it's $x$ coordinate being $a\sin(\omega t)$ and $\omega\ne\sqrt{\frac{g}{l}}$. There's a pendulum attached to $O_1$ of ...
1
vote
3answers
56 views

Work-Energy conservation with friction

I didn't go to the lesson of work-energy theorem, so I miss something about this subject. I know the formulas, but I can't figure it out. This question has many quantities. Here is the problem, ...
0
votes
0answers
26 views

Cosmological Boltzmann equation

Consider the Boltzmann equation: $$\frac{d \ln{n^c(T)}}{d \ln{T}} = \frac{\Gamma}{H}(1 - \frac{n^c_{eq}(T)}{n^c(T)})$$ We know that the ratio $\Gamma/H$ can be considered constant, let us put it ...
2
votes
3answers
221 views

Normalization problem with hydrogen wavefunction

Suppose you have a mix of states made up of the Hydrogen $\lvert nlm \rangle$ states where one of the coefficients is unknown. For example: $$ \lvert \psi\rangle=A\lvert 100\rangle + ...
0
votes
1answer
27 views

How is angle measured by telescope in spectrometer is twice the prism angle [on hold]

While measuring the angle of the prism with the help of telescope in a spectrometer (see figure below), the observed angle is twice the angle of the prism. Can someone prove it geometrically? Edit : ...
1
vote
1answer
22 views

Superstring vacuum amplitude on the torus

My question is how to obtain the superstring (Type II A and B) vacuum amplitudes on a torus. They are given in Polchinski's String Theory Vol. 2 equation (10.7.9): ...
-1
votes
0answers
47 views

Center of Mass of Snowman [on hold]

Suppose you build a snowman 6 feet tall by stacking 3 spheres. The bottom sphere has a diameter of 3, the middle one a diameter of 2, and the head a diameter of 1. What is the center of mass?
1
vote
2answers
24 views

How do I choose the right value of $r$ to find where the electric field is zero?

Sorry for the long question. I'm having a difficult time trying to explain my confusion. I have a positive point charge$\ Q_1 =+q$ at the origin and a negative point charge $\ Q_2 = -2q$ at $\ x=2$ ...
0
votes
1answer
39 views

What's the geometry of a gravitational field at the flat end of a cylinder?

Gauss's law is fairly straightforward in explaining the gravitational field strength around the curved sides of a cylinder - but what is the geometry of the field at the flat end? For example, does ...
0
votes
0answers
17 views

From Eulerian to Lagrangian coordinates (Rigid Body) [on hold]

so I got this problem: Given $u=((x_1-x_3)^2, (x_2+x_3)^2, (-x_1x_2))$ Find $x(X) ; X(x) ; u(X)$ I know you have to use the fact that u=x-X, and that x=x(X) ; X=X(x) Any ideas?
1
vote
1answer
29 views

What is the position as a function of time for a mass falling down a cycloid curve?

In the brachistochrone problem and in the tautochrone problem it is easy to see that a cycloid is the curve that satisfies both problems. If we consider $x$ the horizontal axis and $y$ the vertical ...
3
votes
0answers
50 views

Escape velocity for Schwarzschild metric

I can't fill in the gaps in my solution to this and assistance or a reference would be appreciated. The question begins with the straightforward derivation of the EoM for a massive particle orbiting ...
0
votes
1answer
57 views

How to find the number of distinct contraction cases in Wick's Theorem?

Let $\mathcal{G}^8_{un}:=(t_1,t_2,t_1'^3,t_2'^3)=\langle 0 \mid T[Q_{un}(t_1)Q_{un}(t_2)Q(t_1')^3Q(t_2')^3] \mid 0 \rangle_{un}$ We want to use Wicks theorem to write this function as the sum of ...
0
votes
1answer
33 views

Question regarding NaCl equilibrium separation

So I am tutoring someone later and one of the problems is from Eisberg/Resnick Ch 12. The potential energy $V$ of NaCl can be described emperically by $$V = \frac{-e^2}{4\pi\epsilon_0 ...
0
votes
0answers
9 views

How can I read the graph of a low pass filter [migrated]

*Someone please change the tags accordingly Given information I have the following circuit, and frequency graph. The capacitor is connected to ground at the bottom. Unfortunately the graph is in ...
-1
votes
1answer
19 views

Calculating uniform angles between 2 vectors [on hold]

If I have two vectors, say: [100] and [101] and I want to calculate two angles between them, uniformly distributed, would it just be: [1 0 0.33] and [1 0 0.66]? So, [100] = 0 degrees [101] = 45 ...
0
votes
1answer
34 views

Free fall actual motion direction on the rotating earth [on hold]

I've calculated that the actual acceleration that a body experiments taking into account the gravitatiotional atraction of the earth and the centrifugal pseudo-force is given by: ...
-1
votes
0answers
15 views

Spinor Representations in terms of the eignvalues of the Casimir Operators of the Lorentz Group [duplicate]

The Casimir operators of the Lorentz Group are $S^2$ and $T^2$. As such, particles can be identified by the following representations of the Lorentz Group: (0,0) = scalar/singlet representation: Why ...
1
vote
2answers
44 views

Induction in Electrostatics

While solving some problems on electrostatics, I came across this question : Two balls carrying charges of +3 $\mu C$ and -3$\mu C$ attract each other with a force $F$. If a charge of +3$\mu C$ is ...
0
votes
0answers
24 views

Evaporation of water [on hold]

assuming no wind involved and using 100 psi steam in a 1.5" diameter, submerged pipe, how much 180 degree F water can be evaporated per hour per lineal foot of pipe?
0
votes
0answers
25 views

Equivalence between Chern-Simons action and first order formalism

I can not derive second line from Chern-Simons action \noindent $S_{cs}$=k$\int{Tr(A \wedge dA+\frac{2}{3}}A \wedge A\wedge A)$ \noindent =k$\int{\ e }^a\wedge $R[$\omega $] we have to use ...
0
votes
0answers
11 views

Find out average speed [on hold]

Akshit drove his car with speed 20km/h while going to his college. When he returned to his home along the same route, the speed of the car is 30km/h. Calculate the average speed of his car through ...
1
vote
0answers
41 views

Quantum mechanics question in derivation of Heisenberg-Euler Lagrangian in Schwartz “QFT” notes

In http://isites.harvard.edu/fs/docs/icb.topic1246957.files/IV-9-EffectiveActions.pdf (Page 20) Schwartz derives the Heisenberg-Euler Lagrangian using Schwinger's proper time method. To do so, he ...
2
votes
1answer
37 views

Why is this spin expectation value a vector

I'm given a spin state: $|s\rangle$ = some linear combination of $|\uparrow\rangle + |\downarrow\rangle$ possibly with an imaginary component. $\hat{\mu}_e = g\mu_B\hat{\sigma}$ $g$ is the ...
0
votes
1answer
31 views

Six particles at the corners of a regular hexagon of side $a$ move at a constant speed $v$ [duplicate]

Each particle maintains a direction towards the particle at the next corner. Calculate the time the particles will take to meet each other. When the particles move with same speed,how can they ever ...
-1
votes
2answers
34 views

Does the velocity of a wave change after being reflected against a moving object? [on hold]

This problem is from my friend ; A man is waiting for a bus. The bus is heading toward him with $v=20\dfrac{km}{h}$ To evaluate the duration, the man sent a wave with $f=880Hz$ toward the bus. ...
-2
votes
2answers
49 views

Deriving the geodesic equation [on hold]

I having been reading a general relativity book, but when in comes to the geodesic equation, it is not derived. How does one go about doing this.
0
votes
0answers
20 views

Estimating vorticity given velocity tangent [on hold]

A circular Anti-cyclonic cod-core eddy at lattitude 45$^{o}$N has a radius of of 100km with a velocity tangent to the eddies outer radius of 0.4m/s.Estimate the eddy's relative vorticity by having ...
0
votes
1answer
38 views

Velocity field of solid body rotation [on hold]

Consider a fluid in solid body roation about the z-axis with angular speed $\varOmega$ Derive an expression for the velocity field (u(x,y), v(x,y)) and show the vorticity of this velocity ...
0
votes
1answer
20 views

Circuit with inductor

How would I find the current through each resistor/inductor as a function of time? I am lost conceptually here. (I made these numbers up, so they may not be "pretty" if/when taking equivalent ...
1
vote
1answer
21 views

Deriving the equation for the speed of a block down an incline using work - keep getting the wrong constant

So the question is: There is a block of mass $m$ travelling along an incline that makes an angle $\theta$ with the horizontal. If the block is pushed up the incline with an initial velocity $v_o$, ...
1
vote
2answers
29 views

Is it possible to derive the angular frequency of a simple harmonic oscillator using total energy?

I want to show that $$\omega=\sqrt{\frac{k}{m}}$$ using the fact that $$E=K+U=\frac{1}{2}mv_x^2+\frac{1}{2}kx^2=\frac{1}{2}kA^2.$$ The issue is that I have derived a formula that isn't ...
1
vote
3answers
38 views

General solution to the wave equation proving dependence on $x \pm vt$

I am trying to solve for a general solution to the wave function and demonstrate any solution has the form $f(x,t) = f_L (x+vt) + f_R (x-vt)$ I have used separation of variables f(x,t)=X(x)T(t) to ...