Path Definition and 1000 Threads

Homework Statement An automobile goes down a hill that has the parabolic cross section shown. (see image attached) Assuming that the horizontal component of the velocity vector has a constant magnitude v0, determine (a) the expression for the speed of the automobile in terms of x; and (b) the...

Homework Statement A particle moves along a circular path over a horizontal xy plane at a constant speed. At time t1= 3.00s, its acceleration vector is given by (3i-5j) m/s^2. At time t2=7.00 s, its acceleration is given by (-3i+5j) m/s^2. Find the radius of the particle's circular path...

Hi, I've looked through some of the replies regarding this topic on this forum, but I'm still a bit hazy on the topic. So this is my problem, why do current try to return to its source? I'm trying to understand this problem with the premise that as long as there is a potential difference...

Homework Statement Hi, I have a question about a bucket filled with water being swung in a vertical circular path. I'm wondering why at the top of this swing, the reaction force of the bucket on the water can be 0? (ie. why is the minimum centripetal force required only the weight of the...

Homework Statement Estimate the total path length traveled by a deuteron in a cyclotron of radius 53 cm and operating frequency 12 MHz during the entire acceleration process. Accelerating potential between dees is 80 kV. mass m = 3.2e-27 kg charge q = 1.6e-19 C radius r = 0.53 m frequency f =...

Hi. In a Mach-Zehnder interferometer, there are mirrors in both paths. When a photon gets reflected on a mirror, it transfers momentum. Also, mirrors are classical objects that are usually not assumed to exist in superposition states. Shouldn't it (at least in principle) be possible to measure...

Homework Statement ##l/l_0=100## ##S=3 (cm)^2## ##B_r=200μ_0H_c=2mT## ##R=10Ω## No current runs through the feromagnetic core. Calculate the charge ##q## that goes through ##R## from the moment in the diagram to the moment it is removed from the core. Homework Equations 3. The Attempt at a...

Guys I have the following homework problem to solve: There are 2 given points in a plane. If we take a point-like object with mass m and take it to the "higher" point what path should it go on to reach the other point in the shortest possible time. Only gravitational force affects our point-like...

Homework Statement The athelete releases the shot with velocity v = 16 m/s at 20° above the horizontal. What is the instantaneous radius of curvature of the shot’s path when it is at the highest point of its trajectory? Enter an answer in meters up to the first decimal place. Use g = 9.81...

Let's say we have a path Length AC. Point A transmits a signal at Ptransmit. From Friis' Path Loss formula: (assumming Gain for receiver and transmitter antennae are 1.) ##P_{received} = P_{transmit} (\frac{λ}{4π* LengthAC})^2## ,when point C contains the receiver. What if I divided this into...

I'm in Cegep in Canada, which is basically between high school and University. I strongly liked chemistry in the past, and I was very strong. Last semester, our chemistry class was Chemistry of Solutions (covering equilibrium, kinetics, acids-bases, etc), and this semester we have to take...

This is a chemically inspired problem, but the path is fully quantum mechanics and a bunch of integrals. How does one calculate fully quantum mechanical rate ($\kappa$) in the golden-rule approximation for two linear potential energy surfaces? Attempt: Miller (83) proposes...

Homework Statement Calculate the following integrals on the given paths. Why does the choice of path change/not change each of the results? (a) f(z) = exp(z) on i. the upper half of the unit circle. ii. the line segment from − 1 to 1. Homework Equations ∫γf(z) = ∫f(γ(t))γ'(t)dt, with the...

Hello. The entropy S is a state variable or state function as the integral of dS = dQ/T is a path-independent, provided that the path is reversible process path. However, such a path-independency of the integral breaks down when the path includes irreversible process. So, I guess we can only...

I just started reading general theory of relativity. I have some elementary questions. Not an english speaker so bear with me. I am reading the thought experiment which describes path of a photon in a free falling lift. For an observer inside the lift, the photon path is a straight line. But...

Hi, would it be possible to explain to me how does wave length, phase difference and path difference all link as I'm struggling with calculations involving these three things.

Hello! Can someone suggest me a good reading about path integral formulation of quantum mechanics? I took 2 undergrad courses on QM, so I would like something focusing on path integral (maybe some problems too). I don't necessary want a book, even some online pdf that contains some good...

In the classical definition, velocity is the time derivative of the particles position curve (trajectory). The Uncertainty principle restricts the particles velocity from ever being zero. Doesn't this imply that a particles path is restricted to paths that do not have a zero time derivative at...

Homework Statement (see attached file) Homework Equations Kirchhoff's laws The Attempt at a Solution (see attached file) I only included the work for measurement 1 since measurement 2 follows from that. I got both voltage values correct. However the paths of the current flow was incorrect...

Homework Statement Evaluate the work done by the two-dimensional force F = ( x2, 2xy ) along each of the following three paths joining the origin to the point P = (1, 1) : The first two are fine The last path is: the path given parametrically as x = t3, y = t2 with a parameter t Homework...

This maybe a basic question to the educated. I wondered if anyone can describe or show the path the Earth takes not only in relation to orbiting the moving sun but taking into consideration the movement of the milkyway as in rotation and expansion of the universe. Hmm thinking of it as i write...

I have read many textbooks and googled google times for a clear explanation, but I could not find one. How does raising and lowering -annihilation/ creation-(is that energy or particle number?) translate to transition probabilities of path integral.

Hi everyone, i'm a student from Quebec in pure science in college. I have two weeks left to register for university. Having listen to people and read, I'm really worried about my path. I really want to study physics for undergraduate since i find this really interesting. Where I'm worried is...

Suppose we have a curved spacetime with metric g, how can we find out the path of light throughout that space?

Why the center of Newton's ring is dark? though I am thinking the path difference in the center is zero between two reflected rays... so,I will be glad if you give the correct information about that...

Homework Statement A medium has a refractive index, ##n(y)=n_0 \sqrt{1+y/a}## which increases along y. Assume ##n_0## and ##a## are constants and always positive. If a light beam enters horizontally along y, through (0,0), find the curve the path of the light ray takes. Homework Equations ##F...

Hi guys I'm ted. I'm posting this thread because I'm not sure what career to follow and I could really use some help. First of all let me give you some info for me.I'm16-17 y.o and going to high school. At 15 I came 2nd to my countrie's astrophysics Olympiad.Read apostol's calculus and since...

Consider a system with a time-dependent Hamiltonian. We know that the evolution of the state of this system, is given by ## \displaystyle |\Psi(t_1)\rangle=T \exp\left( -i \int_{t_0}^{t_1} dt H(t) \right) |\Psi(t_0)\rangle ##. Do you think you can prove that the path integral formula for the...

Hey everyone, I'm nearing the end of high school and I can't for the life of me decide what I want to do... I have a couple choices but I can't decide between them... My favourite thing in the world is figuring out the soloutuon to that hard multistep math or physics question, and I believe my...

How to find the quickest path?

I'm told the system can not find the file and that the system path is not specified when I try to save a laytex document. I'm using TexWorks to create a new file.

In the path integral formalism, where we treat a photon as if it takes every possible path, aren't the possible paths limited by the speed of light? If we were to perform the double slit experiment, and shield the detector after a specified time frame to limit the time for a photon to make the...

So in MWI, the electron takes many paths through the double slit experiment and each path is in a different world. So if electrons are fired one at a time, what makes an electron go on a certain path. Say it goes on some weird path that would have implied that a force exist when viewed...

Homework Statement Suppose that a particle follows the path r(t) = 2cos(t)i + 2sin(t)j Give an equation (in the form of a formula involving x and y set equal to 0 ) whose whose solutions consist of the path of the particle. Homework Equations None that come to mind The Attempt at a Solution I...

I'm currently in year 12 (studying IB with hl physics, maths and chemistry) in the UK and am starting to look at uni courses. For a few years now I have been absolutely fascinated by the particle physics/quantum side of physics. At the movement I would love to work in research in this sort of...

Hi, I am just wondering what you should do in the case that you have a choice between two nodes to include for the next step, i..e both are equal to the minimal value of the set under consideration Do you need to follow through both cases and then see which way is the shortest, or is there a...

Dear, I am going into quantum physics the past days specifically the dual slit because it boggles my mind. You can find the Wikipedia here https://en.wikipedia.org/wiki/Delayed_choice_quantum_eraser And this is the picture...

I'm reading the path integral chapter of Schwartz's "Quantum Field theory and the Standard model". Something seems wrong! He starts by putting complete sets of states(field eigenstates) in between the vacuum to vacuum amplitude: ## \displaystyle \langle 0;t_f|0;t_i \rangle=\int D\Phi_1(x)\dots...

Homework Statement The circuit in the figure below has been connected for a long time. Let R1 = 8.20 Ω and R2 = 4.40 Ω. (a) What is the potential difference across the capacitor? (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to...

From the path integral approach, we know that ## \displaystyle \langle x,t|x_i,0\rangle \propto \int_{\xi(0)=x_i}^{\xi(t_f)=x} D\xi(t) \ e^{iS[\xi]}##. Now, using ## |x,t\rangle=e^{-iHt}|x,0\rangle ##, ## |y\rangle\equiv |y,0\rangle ## and ## \sum_b |\phi_b\rangle\langle \phi_b|=1 ## where ## \{...

I'm a student, who's entering the higher education. I'm interested on Software Engineering, Electronic and Electrical Engineering. I have two opportunities, in selecting a University to secure one of the above degrees. One is a local university, that offers 4 year degree programs related to...

Path g(x) is a function which contains all points that are at a constant distance from f(x). What is g(x) in terms of f(x)?

Homework Statement A car moves from X to Y along a semicircular path. The radius of the path is 250 m and the time taken to complete the trip is 50 s. What is the magnitude of the average velocity and the magnitude of the average speed? can you please explain? <3 Homework Equations v = wr = 2π...

Hi, I would like to try and calculate the average distance traveled through a box of length ##w## by any straight path possible. As shown in the attached figure. Where the path through the box to an adjacent face is given by $$r_{adj}^2=\left(\frac{w}{2}-x\right)^2+y^2+z^2.$$ The average...

Homework Statement Find at which angles θ the interference picture that appears on a distant screen made by three thin slits separated by distance d and enlightened by a source of wavelength λ (see figure) a) Shows its maxima. b) Shows its minima. multiple slit diffraction, d, ##\lambda##...

Homework Statement Determine the highest and lowest elevations given by the height z = f(x,y) = 1 - (1/16)x^2 - (1/9)y^2 on the path r(t) = <2cos(t), 3sin(t)>. The xy position on the path at time t is given by r(t). Homework Equations Lagrange Multipliers Partial derivatives The Attempt at a...

Question :- A car has to move on a path, that is a arc of a circle of radius (##R##). The length of the path is (##L##). Suppose it starts on the highest point of the path, find the highest uniform speed for which, it does not lose contact with the path on any point ? My attempt :- I made a...

Homework Statement The concentration of electrons per unit volume is given (atoms/m^3), temperature is also given in Kelvins (100 K). Other values were also given such as valence but I'm pretty sure that they are irrelevant. Homework Equations λ = 1/ pi * d^2 * n λ=kT/4∗π∗√2∗r^2*p The Attempt...

What exactly are the problems with a path-dependent potentials? (e.g. magnetic scalar potential, normal electric potential over a changing electric field) I came up with this question, but can't be sure. The problems with such potential seem to me may be multivalued, as well as making the...

The path integral in quantum mechanics involves a factor ##e^{iS_{N}/\hbar}##, where ##S_{N}\equiv \sum\limits_{n=1}^{N+1}[p_{n}(x_{n}-x_{n-1})-\epsilon H(p_{n},x_{n},t_{n})].## In the limit ##N \rightarrow \infty##, ##S_{N}## becomes the usual action ##S## for a given path.When the...