Relativistic Definition and 1000 Threads

A 3.2km linear accelerator(linac) accelerates electrons constantly down the linac,each electron will have 50GeV of energy at the exit point. what is the speed of the electron after going 1m down the accelerator? After electrons exit the linac,magnets are used to curve the electron beams. the...

Hi, I was given a question in which I had to work out the speed of an object given its momentum and its mass. Now I had to answer what would be the new speed if the momentum doubled. So, from what I understand, the rest mass can't change, it is like a constant for a given body. So, in...

I want to know about relativistic correction to perturbation. I searched but failed to find any teaching on this topic. Is it true that we just need to replace the non-relativistic Hamiltonian perturbation terms with the relativistic ones while leaving the perturbation formulae unchanged...

Hello Guys. I am amateur so please forgive me if the question is irrelevant. As I understood it, the objects moving with relativistic speed, have their mass increased exponentially as the speed increases. Does that mean they have stronger gravity pull also?

electrons -- Relativistic velocity addition... Homework Statement an observer measures the velocity of two electrons, finding one with a speed c/2 in the x direction and the other c/2 in the y direction. what is the relative speed of the two electrons. Homework Equations The...

I just read this as I was skimming over the preface of a relativistic QM book. My question is this; is it the case that there is not yet a logically consistent and complete relativistic quantum theory or is this statement just because the book was published in 1980 and there has since been...

Homework Statement Pions can decay via the reaction π+ → μ+ νμ. Show that the energy of the neu- trino in the rest frame of the pion is given by E_v = \frac{m^2_∏-m^2_μ}{2m_∏} Pions with energy Eπ in the laboratory frame (Eπ >> mπc2) decay via the above reaction. Show that the...

Homework Statement Take the case of elastic scattering (A+B -> A+B); if particle A carries energy EA', and scatters at an angle θ, in the CM (center of mass/momentum frame), what is its energy in the Breit* frame? Find the velocity of the Breit frame (magnitude and direction) relative to the...

A hypothetical question relating to 1) moving a physical object at a significant % of c. 2) interaction with the cosmic microwave background radiation Is it the case that doppler effect and time dilation means that the CMB is going to be physically damaging to the object? Further...

Hello. I am independently studying modern physics. I have a basic special relativity question. Consider a completely inelastic collision Of course, objects are moving at a constant velocity before and after the collision with respect to a stationary observer. Let's call him Rick. Suppose that...

Hi, I need a formulation of the equation for Coulomb's potential. It needs to be an integral that applies to densities (so no delta functions). (I think the relevant densities are charge densities?) Also, it needs to be relativistic. So far I have: ? = \int\frac{ρ(r'...

Relativistic Baseball When it reaches the batter, the center of the cloud is still moving at an appreciable fraction of the speed of light. It hits the bat first, but then the batter, plate, and catcher are all scooped up and carried backward through the backstop as they disintegrate. That's...

A thought experiment: X is a particle moving horizontally 0.8c to right, L is a light beam moving vertically to up, and O is an observer at rest. With precise timing in test arrangement, light beam hits X directly from below and gets absorbed by X (all beam's energy transfers to kinetic energy...

If nothing can escape black holes, how are relativistic jets of particles and radiation emitted from the supermassive variety of the same? Are they emitted from the BH proper or from something else? IH

Here's a few smattered questions I've had a hard time finding good answers for: 1. Why is the speed of light a constant? Is it related to the fact that it is massless? Is it because it isn't subject to time dilation? 2. Why is the speed of sound, or EVERYTHING for that matter, not...

I understand that the relativistic eqn that applies to all particles in all frames of reference and that works for both massless and massive particles is E^2 = (p^2)(c^2) + (m^2)(c^4). I then attempted a small question: Deduce the de Broglie wavelength of thermal neutrons from a nuclear...

Okay maybe it's not just the Ender's Game series, and maybe its actually a cornerstone fact belief theorem postulation thing of relativity, but still! In the story Ender travels in ships which go at relativistic speeds. By doing so, centuries go past but he hardly ages at all. I don't get this...

I tried to wiki this,which stated relativistic doppler effect takes time dilution into account,but the analogy/example given was not related to time dilution..can anyone summarise both with a practical situation or a useful link for it Thanks in advance

I tried all my mathcad software such as Maple and I can't seem to find a solution to this time based differential equation.

I tried all my mathcad software such as Maple and I can't seem to find a solution to this time based differential equation.

I have a question relating to relativistic time dilation and thermodynamics. I have put the question in the context of a thought experiment. This I have done as I can not find the particular terminology needed to ask a more succinct question. I have also taken some liberty to try to make the...

Homework Statement Hi everyone, I have a physics assignment that asks: Prove that the square of relativistic four-momentum for a massive particle is a relativistic invariant under Lorentz transformations. Can anyone help me to work on the problem? I'm always lost in the class ever since my...

Let's say you have a spaceship with an observer on it who has an experiment set up on the ship to measure the speed of light from a laser beam that is directed at the ship from behind. This experiment consists of two mirrors, one half silvered to only reflect part of the beam, that reflect the...

Homework Statement As a rough measure of the relativistic "flattening" of the configuration of electric field lines from a moving charge, we might use the angle \alpha between two conical surfaces which include between them half the total electric flux. That is, half the flux through a sphere...

Hello. I would like to bring to discussion this paper called "Mathematical Foundations of the Relativistic Theory of Quantum Gravity", by Professor Fran de Aquino, from the Maranhao State University, in Brazil. The paper was published in the Pacific Journal of Science and Technology...

A while back (thread) you guys helped me understand why \tilde{F}=m\frac{d\gamma\tilde{v}}{dt} (3-vectors) as it follows from \bar{F}=q\Psi\bar{v} (4-vectors) and \tilde{F}=q(\tilde{E}+\tilde{v}\times \tilde{B}) (3-vectors). However, I had the impression that one also uses...

I'm sure that this is not a new question, but it is one that has been puzzling me for a long time. In our universe, the large massive bodies are all moving relative to one another at low velocities relative to the speed of light (aside from the ultra large-scale systematic motion associated...

Can work and energy in special relativity be described by drawing the analogy with classical physics as shown below? \bar{F}: four force \bar{v}: four velocity \tilde{F}: classical three force \tilde{v}: classical three velocity \Psi : electromagnetic tensor A. Classical The work done...

Hi all, I'm trying to derive expressions for the EM-field of a charge moving at relativistic velocity. Let's make a rest frame for the charge in which it's velocity is equal to zero. The charge only produces an electric field with components: E'(x)=k\frac{q}{R'^3}x' E'(y)=k\frac{q}{R'^3}y'...

Homework Statement Hey all, I am encountering a problem with a derivation of the formula K_{ineticEnergy}=mc^2-m_{0}c^2 as it is described by my textbook. I need someone to explain to me how the author changes the integral and the upper limit of it in the final part. I'll now give you the...

I have read about how magnetism arises from electric interactions and relativity. But in that respect i don't see how perpendicular wires can exert magnetic forces on each other. The movement of the charges is perpendicular so length contraction does not occurr in the direction of the current...

Does anyone know of a standard way of calculating the com frame velocity for two particles moving at arbitary velocities in the lab frame? It's strange that this standard result isn't even in Goldstein's et al book

suppose I have a 10 kg sphere with homogenous distribution of mass (aka density is same everywhere) that is 10 m^3. Now suppose I rapidly increased its radius at a speed of 1/2c m^3 (and because its homogenous the volume increased correspondingly). Now my question is whether that would cause the...

Homework Statement By expanding a MacLaurin Series show that E_{n}=\epsilon_{n} - \mu c^{2} = - \frac{w_{0}Z^{2}}{n^{2}}[1+\frac{\alpha^{2} Z^{2}}{n}(\frac{1}{k}-\frac{3}{4n})] Homework Equations Through a lengthy derivation I arrived at \epsilon_{n}=\frac{\mu...

"Relativistic Mass" thought exercise with approaching bodies I understand that the concept of 'relativistic mass' is somewhat controversial, but for reasons that are unclear to me. Nevertheless, I humbly pose the following thought exercise/inquiry: For starters, I understand the formula for...

Hello all, Homework Statement Given \frac{dE}{dt}=\frac{d(m(u))}{dt}\cdot u show that \frac{dE}{dt}=\frac{m_0}{(1-u^2)^{\frac{3}{2}}}u\frac{du}{dt} where u is velocity, m(u) is relativistic mass, and m_0 is rest mass. Homework Equations m(u)=\frac{m_0}{\sqrt{1-u^2}} The...

Homework Statement Find CM energy of a mu+ mu- collider, with each beam having an energy E of 500 GeV. The beams cross at a small angle of 250 mrad.Homework Equations E^2 - p^2c^2 = m^2c^4The Attempt at a Solution So I have a diagram for the lab frame which has the mu- coming in at a small...

Anyone willing to derive the motion equations of special relativity from the SR action: S = -m0c2∫t1t21/γ dt where: m0 = rest mass γ = Lorentz factor =1/√(1-v2/c2) v is the velocity as a function of time. The full action contains terms of the vector potential and scalar potential but assume...

Homework Statement A particle of mass M decays at rest into a massless particle and another particle of mass m. The magnitude of the momentum of each of these relativistic particles is: Homework Equations E = γmc2; p=γmv The Attempt at a Solution Pf-Pi = 0; but the particle is at...

Imagine Batman has a new hyper speed Batship that is the shape of his circular bat emblem. The ground has convenient square grid on it and when parked on the ground the ship is exactly the same length as a square on the grid and its shadow touches the four sides of a square. Mounted underneath...

Homework Statement Calculate the number g* of effective relativistic degrees of freedom as the universe cools through the temperature ranges (i) T > 103 GeV, (ii) 1 MeV < T < 100 MeV, and (iii) T < 0:1 MeV. Homework Equations for the equation that is required to be used look the...

Homework Statement I am supposed to show that the force on a relativistic particle when a) it's perpendicular to particle's velocity is F=γm_0\frac{dv}{dt} b) it's parallel to particle's velocity is F_x=m_0γ^3\frac{dv_x}{dt} I may make use of the fact that...

I am working on an introduction to cosmology, I have began by the Newtoniant one (the Hubble law, the Friedmann, fluid and acceleration equations), and some of the aspects of the relativitic one. I want to relate the tow parts by mentioning the shortcomings of the first, and then mentioning the...

I'm trying to understand how the geometry of Minkowski space is related to physical observations, in particular, measurements of the velocity of an object. In the attempt below, I got stuck at the meaning of the relativistic 3-velocity. Can anyone get me back on track?

Does anyone know if any work, no matter how speculative, has been done on the following: Assume a ship (or any vessel) travels through space with a Gamma of 10-100. As the ship travels through the interstellar medium, there is a constant barrage of nuclear explosions over the tip of the jet...

Homework Statement A particle of mass m moving at speed \frac{3}{5}c collides with an identical particle at rest, and forms a new particle of mass M which moves off at speed v. Find v.Homework Equations E-P invariant: E_1^2-p_1c^2=E_2^2-p_2^2c^2=\mathrm{const.} Momentum...

Homework Statement (a) Consider a 10-Mev proton in a cyclotron of radius .5m. Use the formula (F1) to calculate the rate of energy loss in eV/s due to radiation. (b) Suppose that we tried to produce electrons with the same kinetic energy in a circular machine of the same radius. In this case...

Homework Statement a) What is the speed of proton that has relativistic γ factor of 10^10? Write as (1-ε)c b) A proton with γ=10^10 is chased by a photon across a galaxy. Observer A at one end of the galaxy (xA=0) sees the proton at t1=0 and the photon at t2 = 1.33 x 10^-8 s. According to...

A quick question..a traveller will observe length of his journey contracted if he is traveling in a straight line..thus when light travels, doesn't the distance it travels get contracted?..and since light itself travels at c, ideally the contraction factor should be zero, so light should reach...

Homework Statement I am supposed to derive this equation: tan(phi) = γtan(θ) by performing an integration to find the flux of E through each of 2 spherical caps; the flux through each of these caps should be equal. The first cap spans the angle θ; the element of surface area may be taken as...