Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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1
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1answer
34 views

The work-energy theorem

Well here's the question. From some previous excercises we know that from $A=\int Fds$ $$A=\int ma\text{ }ds$$ $$A=\int m \frac{dv}{dt}\text{ }ds \text{ (a=dv/dt)}$$ $$A=m \int_{v_1}^{V_2}v \text{ ...
0
votes
0answers
15 views

Soft Scalar Emission

For a massless spin particle $\phi$ which has an interaction Lagrangian density of the form $\phi(x)J(x)$, where $J(x)$ contains only massive particles fields, what is the rate of emission of soft ...
0
votes
0answers
20 views

How to calculate the thermal resistance of a piece of metal

I have a 5mm*15mm*25mm piece of iron that I am going to use for an electrical connector. I calculated the resistance of it using this formula : $R=\rho\times\frac{L}{S}$ Iron resisitivity is ...
4
votes
1answer
103 views

Chemical and stellar evolution in stars

I'm having an exam soon where I have to discuss/describe the follow figure: It's the first figure I have to explain, and it was on the same slide as the one below, so I'm thinking they are somewhat ...
0
votes
0answers
36 views

Boundary conditions of stream function

I have to do an problem about solving numerically the flow that goes under an airfoil. The airfoil has a flap deployed downwards and I need to solve the mesh that it's under the airfoil. I have drawn ...
-3
votes
0answers
14 views

Waves and sounds [on hold]

A tuning fork whose natural frequency is 440 Hz is placed just above the open end of a tube that contains water.The water is slowly drained from the tube while the tuning fork remains in place and ...
2
votes
1answer
55 views

Hamiltonian for a Lagrangian with coupling

I am dealing with the following Lagrangian density $$\mathscr{L}_{em}= -\frac{1}{2}\rho\omega^2 u^2 +\frac{1}{2}\nabla u:\Sigma :\nabla ...
1
vote
2answers
45 views

How to reconstruct the dependence of the potential from a coordinate?

What is known is that an ion sent along the X-axis of a black box with a speed $V$ returns in the time of: $$T=a V^b$$ $a$ and $b$ are some known constants. Having this, can we reproduce the ...
0
votes
0answers
21 views

Interference of sound: how to calculate the sound intensity at each point?

I need help with the following question: Two speakers are sending out sound in phase with the frequency 2,13 kHz. The sound from the speakers is registered in three points A, B and C. See figure. ...
2
votes
0answers
43 views

Lorentz transformation - Bjorken & Drell

I'm trying to derive (14.25) in Bjorken & Drell (B&D) QFT. This is $$\tag{14.25}U(\epsilon)A^\mu(x)U^{-1}(\epsilon) = A^\mu(x') - \epsilon^{\mu\nu}A_\nu(x') + \frac{\partial ...
2
votes
0answers
39 views

Time functions in general relativity

In my general relativity notes a function $f$ is called time function, if $\nabla f$ is time-like past-pointing. Say that we are in Schwarzschild spacetime and I want to check if $f=t$ is a time ...
-1
votes
1answer
33 views

Projectile at an angle. Finding the angle using conservation of energy [on hold]

Ball is thrown at an angle α and at the highest point it's potential and kinetic energy are the same. Find the angle. Use the law of energy conservation. What the professor wanted $mV^2/2 = 2* ...
1
vote
1answer
63 views

Turning off point for 1g acceleration

Let's say I am on a ship accelerating with 1g. I want to keep the engine running for half a year ( to an observer from my point of origin ) but due to time dilation it would have to be sooner than ...
0
votes
0answers
25 views

Lorentz transformation of scalar field [on hold]

How can I show that $$\phi(x^{\mu}) - \frac{1}{2}\lambda^{\sigma \rho}L_{[\sigma \rho]}\phi(x^{\mu}) = \phi(x^{\mu} + \lambda^{\mu \nu}x_{\nu}) \,\,\, ? $$ Here, $\lambda^{\rho \sigma}$ are the ...
0
votes
0answers
34 views

How to calculate the solid-liquid interface energy knowing the surface free energy and liquid contact angle? [on hold]

Given surface free energy something around 20mN/m, and the contact angle around 120° for water (73mN/m). How can I estimate the solid-liquid interface energy of the given solid surface to water? I ...
-1
votes
0answers
31 views

Momentum in the frame of reference of the center of mass [on hold]

I'm a high school student who just learned this topic in class today. I don't understand why the sum of momentum is zero in the frame of center of mass. Also, how can I solve this problem: Three ...
0
votes
1answer
38 views

Quantum Physics, Energy States [on hold]

Which of the following transitions in a hydrogen atom absorbs a photon of the highest energy? a.) $n=2\hspace{1cm}to\hspace{1cm}n=3$ b.) $n=3\hspace{1cm}to\hspace{1cm}n=2$ c.) ...
0
votes
0answers
27 views

How to minimize the wavepacket dispersion?

This is a final exam problem. Here is what I can remember: We know that if an electron's wavefunction starts out as a narrow wavepacket, and moving in a region of constant potential, then the ...
0
votes
0answers
28 views

Space formed by dot products of three vectors [migrated]

Suppose I have 3 3D unit vectors $\mathbf{v}_1$, $\mathbf{v}_2$, and $\mathbf{V}$. I define the three corresponding scalars $u_1=\mathbf{v}_1 \cdot \mathbf{V}$, $u_2=\mathbf{v}_2 \cdot \mathbf{V}$, ...
1
vote
2answers
35 views

Change of vectors [on hold]

We have two vectors $F1$ and $F2$ as shown in figure. The change of vectors is shown as $F2-F1$. Why it is it rather than taking negative of vector $F2$ i.e. $-F2$ and then adding it by head-to-tail ...
0
votes
0answers
32 views

Driven coupled oscillator [on hold]

Consider the following system consisting of 3 masses and 4 springs : Suppose i start to drive the system, for instance horizontally applying a sinusoidal force with frequency w to one of its ...
2
votes
0answers
50 views

Time ordering, interaction Lagrangian calculation, QED

I am trying to compute $$ \langle 0| \, T\left\{\phi^\dagger(x_1) \phi(x_2) \exp \left[i \! \int{L_1(x) \, \mathrm{d}x} \right] \right\}|0 \rangle $$ for $$ L_1(x) = ...
4
votes
1answer
61 views

How much pressure would be needed to contain a 1 gigaton nuclear bomb explosion within a sphere of one meter radius?

How much pressure would be needed to contain the largest human exploitable nuclear bomb within a sphere of one radius? Also would it be possible to create a magnetic field that controlled some ...
0
votes
1answer
25 views

Kittel solid state physics handbook - Plasma oscillation of a ball - Am I solving this right?

I'm self learning nanotechnology undergraduate and I'm trying to solve a problem from chapter "plasmons, polaritons and polarons". This is it: Frequency of uniform mode of plasmons in a ball is ...
-5
votes
3answers
48 views

Net force of the following? [on hold]

The following objects are attached to one another and have difference force directions: Where is the direction of force? And What is the net force? I'm trying to calculate it using their angles, ...
1
vote
1answer
101 views

Electromagnetism Boundary condition

The dielectric slab surrounded by air as shown in diagram has permittivity $\epsilon$ different from air and permeability almost same as air. Electric field everywhere within the slab is given to be ...
0
votes
1answer
31 views

Gravitation - hole to center of Earth [on hold]

Question: Assume that a tunnel is dug across the Earth (radius = $R$) passing through its centre. Find the time taken for a particle to reach the centre if it is projected into the tunnel from the ...
1
vote
1answer
56 views

Prove the relation between relative velocity ,momentum and energy

In Chapter 8 of F.Mandl's book Quantum field theory, during the derivation of the differential cross section, the following relation is used: $$E_1E_2v_{rel}=\sqrt{(p_1p_2)^2-m_1^2m_2^2} \,\, ,$$ ...
0
votes
1answer
42 views

A falling steel beam - Maximum induced voltage [on hold]

I'd appreciate it if someone could explain how to answer this question: A 2 m long steel beam is falling from a height of 12,5 m. During the fall, the beam is oriented in an east-west direction. ...
2
votes
2answers
43 views

Another condition of calculating work

Let's imagine that there is a box placed at the corner of a table, and I push it so that my applied force makes an angle of 30° from the table's surface. The box would move and, due to the effect ...
-3
votes
0answers
21 views

Are these Kinematics Equations Correct? [on hold]

Can someone make sure that these kinematic equations I derived are accurate please? Thanks in advance. I'm new to this forum, so if I'm doing something wrong, let me know. I understand the below ...
0
votes
0answers
43 views

Lorentz transformations of spinors in $SL(2,\mathbb{C})$

I was wondering what the matrix representations of all the coordinate rotations and Lorentz boosts of the $SL(2,\mathbb{C})$ were along with a general method of solving for them. I've been able to do ...
-2
votes
0answers
29 views

FINDING THE ANSWER [on hold]

Equiptment- Micronair air barrier sprayer (60 gal tank) Output Rate-2 gal/min Swath width-6 feet Product demand CS Rate 5 oz/1000 1, square feet is 22225 sqft 2.How many gallons of mix will we ...
-2
votes
1answer
34 views

Center of mass finding question [on hold]

Find the center of mass the rod in the figure if λ (the mass per unit lenght) varies with $x$ according to $\lambda=dm/dx=\beta x^2$, where $\beta$ is a constant. Sorry for quality of picture. I am ...
0
votes
1answer
115 views

Confusion with anti-symmetric tensors!

I want to prove the following fact for two antisymmetric tensors: $$ G^{+\rho (\mu} H_{\,\,\, \rho}^{+\nu)} = -\frac{1}{4}\eta^{\mu \nu} G^{+\rho \sigma}H_{\rho \sigma}^{+}. $$ When I try to do it I ...
0
votes
0answers
48 views

How fast would a 60 km diameter moon ring rotate to simulate 1 G? [on hold]

After seeing this answer regarding increasing mass for greater weight on the moon, my eyes caught the first comment about centrifuges in science fiction. Naturally, the thought of putting Elysium on ...
1
vote
1answer
61 views

Symplectic notation proof?

Hello I am trying to work through a little proof of the symplectic condition for Hamilton's equations for a classical mechanics course. I am trying to understand the meaning of the relation ...
0
votes
0answers
9 views

maximum dislacement on dumping sistem with FDM [on hold]

A precision grinding machine is supported on an isolator that has a stiffness of 1 MN/m and a viscous damping constant of 1 kNs/m. The floor on which the machine is mounted is subjected to a harmonic ...
2
votes
1answer
70 views

Relativistic Kill Vehicle

What would happen if a significantly supra-molecular object (say ranking from grams to low kilotons) would be accelerated to relativistic speeds (>.10 c) such that its worldline would intersect with a ...
0
votes
0answers
56 views

Understanding the physical applications of the Laplacian: Finding the heat-equation using the continuity equation [on hold]

I know the following: $$q=\rho c T$$ Where $q$ is heat per unit of volume, $\rho$ is the density, $c$ is the specific heat capacity and $T$ is the temperature. The flow of heat is given by: $$\vec ...
-2
votes
0answers
26 views

Block slides down smooth hemisphere: WHEN will it leave surface? [on hold]

A block is at rest at the top of a frictionless hemisphere of radius r. It is slightly disturbed and starts sliding down. WHEN will it leave the surface of the hemisphere?
0
votes
1answer
27 views

Position of Centre of Mass [on hold]

Prove that: $$\vec{R}_{CM} =\frac{\sum_{i=0}^n M_i\times \vec{R}_i}{\sum_{i=0}^n M_i }$$ Where, $\vec{R}_i$ and $M_i$ are the position vector and the mass of $i^{th}$ particle in the system ...
0
votes
0answers
32 views

Difficult Atwood's machine problem - Finding $L(t)$ [on hold]

The whole problem was: You have got a turnable disc of mass $m$ and radius $r$. The rope around the disc has mass $M$ and length $l$. At time $t=0$ the disc is not turning. The height difference ...
-1
votes
1answer
25 views

Torque and Moment [on hold]

pole vaulter holding a vaulting pole parallel to the ground. the pole is 5 metres long. vaulter grips pole with right hand 10 cm from the top end of the pole and with his left hand 1 metre from the ...
-3
votes
1answer
37 views

Jets of equal height from a pipe

Lets say I have a pump that delivers some flow and pressure to a horizontal pipe with holes at different location. Let's say L=0.5 m, 1m, 2m etc... The question is: What should the diameters of these ...
2
votes
0answers
43 views

Euler-Lagrange equation (equation of motion) solution with hairy Lagrangian [on hold]

I'm going through Zwiebach Chapter 6 on relativistic strings to try to solve a similar problem. I got all the way to my equation of motion \begin{eqnarray*} \delta S & = & [ p' \delta ...
0
votes
1answer
27 views

Spin Hilbert space

I'm currently doing some quantum mechanics and was able to transform my Hamilton operator to something that basically looks like this: $$ H = H_{xy} + \frac{p_z}{2M} + \alpha S_z, $$ where $H_{xy}$ ...
0
votes
1answer
25 views

Heat of Vaporisation - Enthalpy [closed]

Hey guys I came across a question and I'm just wondering if my method is correct because the answer at the back of the book is different. Question The entropy of water at atmospheric pressure and ...
3
votes
3answers
117 views

Derivation of the speed of light using the integral forms of Maxwell's Equations

Having just finished physics 2, I've been (slightly) exposed to showing that light is a wave with speed $1/\sqrt{\mu _0 \epsilon _0 }$ using the differential forms of Maxwell's equations, though this ...
-2
votes
0answers
5 views

how to calculate the frequancy and impulse response of the photodiode-detector [migrated]

can you help me to do the problem ( some hints how to solve those problems based on experimental method course)