Relativistic Definition and 1000 Threads

Let’s say there was a stable Acceleration Due to gravity at 1m/s^2 towards a certain direction, and a stone would keep accelerating that direction. The Stone wood not reaches the speed of light, because it requires more and more energy to reach a diminishing speed increment. How fast would...

Homework Statement Show that 1/\sqrt{1-(u'/c)^2}=\gamma(1-(vu/c^2)/\sqrt{1-(u/c)^2}Homework Equations The Attempt at a Solution Since I'm terrible with Latex I took a picture of what I have so far. I'm not sure where to go next or if I'm even on the right track. My professor gave a hint...

Homework Statement Two trains leave a station, one going westbound and one going eastbound, both on the same track. A passenger who just wanted to get out of town missed both trains and, while standing on the platform at the edge of the track, observes the westbound train to be receding at 0.6c...

In thermodynamics (ignoring relativistic effects) you can use the maxwell-boltzmann-distribution to find the average speed of the gas particles. v^2=\frac{8kT}{\pi m} But there are high Temperatures that would have average speeds > c. Are there distributions that describe gases with an...

Homework Statement You fire a light signal at 60° north of west. (a) find the velocity components of this signal according to an observer moving eastward relative to you at 0.5c. From them, determine the magnitude and direction of light signal's velocity according to the other observer. (b)...

Homework Statement An electron has a speed of .75c. Find the speed of a proton that has: a) The same kinetic energy as the electron b) The same momentum as the electron Homework Equations γmc2 = K + mc2 P = γmv The Attempt at a Solution PART A: me (electron mass) = .511MeV/c2 Ve...

To my understanding the Relativistic Doppler shift is a product of the classical velocity shift and the dilation factor arising from that velocity. The classical effect can be red or blue depending on whether the emitter and receiver are receding or closing respectively. The dilation...

A spaceship with an arbitrarily large quantity of fuel cells departs Earth and accelerates away from it with a fixed trajectory until it reaches .9c. It continues to accelerate, but never reaches c because that is impossible for any object with mass. From the frame of reference of the crew...

Hi, A proton initially at rest finds itself in a region of uniform electric field of magnitude 5.0 x 106 Vm-1. The electric field accelerates the proton for a distance of 1 km. Find the kinetic energy of the proton. So, what I did was the following: KE = q * E * s I then...

Hello guys, The question is: What is the momentum, in conventional SI units, of a proton of momentum 685 MeVc-1? So, I tried two methods which yielded slightly different answers, both proximate to the actual answer (3.66 x 10-19)What I first tried to do was to rearrange: ρ=γm0v To find the...

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 A rocket of (time dependant) mass M ejects fuel such that its change in mass in the instantaneous ZMF is \frac{dM}{d\tau} = -\frac{E}{c^2} The speed of the fuel ejected is w. Prove that a = \frac{Ew}{Mc^2} where a is defined by -a^2 = A_\mu A^\mu The Attempt at...

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...