Relativistic Definition and 1000 Threads

Homework Statement In the reference frame S', two protons, each moving at .5c, approach each other head on. Calculate the total kinetic energy of the two protons in frame S', and calculate the total kinetic energy of the two protons as seen in reference frame S which is moving with one of the...

I'm very noob at this and am a bit confused: Formula 1: E_T = \gamma \cdot m c^2 Formula 2: p = \gamma m v Formula 3: E_T^2 = (pc)^2 + (mc^2)^2 Formula 3 says a particle of negligible mass can have energy, but isn't this in contradiction to formula 1? Unless maybe the velocity of the...

Consider a wire with charges moving with speed 'v'and '-v' in frame F (with charge q at distance s away moving at speed u). In frame F', the charge q is stationary, and so the speeds of the charges in the wire are v+ and v-, where v- > v+ Hi guys, I have trouble following through the proof in...

Homework Statement A K_0 particle has a mass of 497.7 MeV/c^2. It decays into a -∏ and +∏, each having a mass of 139.6 MeV/c^2. Following the decay of the K_0, one of the pions is at rest in the laboratory. Determine the kinetic energy of the other pion after the decay and of the K_0 prior to...

Homework Statement a) A mass m starts at rest. Starting at t = 0 (measured in the lab frame), you apply a constant force f to it (lab frame). How long (in the lab frame) does it take for the mass to move a distance x (also measured in the lab frame)? Check that your answer makes sense in the...

Hi, I was looking up the formula for this on wikipedia and it said that the frequency shift is: \frac{\sqrt{1 - v^2/c^2}}{1+\frac{v}{c}\cos{\theta}} In the case where the the emitter is directly above the observer when the photon arrives it says it simplifies to: \gamma =...

In my textbook there is a derivation of relativistic kinetic energy starting from an integral of the force applied over the distance required to take the particle's speed from 0 to v. There's one stage of the derivation I don't understand on mathematical grounds, which is going from: $$E_k =...

Let's tie a rope on an object, then we swing the object around in a circle, then we start running forwards while continuing the swinging. (All velocities are relativistic) An assistant takes lot of pictures of us doing this stunt. Then finally we study the pictures. We will notice that...

I have heard people argue that light doesn't experience time or space. That it is everywhere at once. I suppose that they base this on the relativistic idea that time and space are warped by speed, and that the closer an object gets to C, the more time slows down and space contracts relative to...

Homework Statement A space station observes a high-speed rocket passing by at speed β c in the +x direction. The rocket suddenly emits a light ray from a powerful laser. According to the space station, the light ray was emitted at an angle of θ with respect to the +x-axis. However, the...

[b]1. An elementary particle of mass M completely absorbs a photon, after which its mass is 1.01M. (a) What was the energy of the incoming photon? (b) Why is that energy greater than 0.01Mc2? Homework Equations p (photon) = E/c p (particle) = γmv p(i) = p(f) Ek = γmc^2 -mc^2...

Homework Statement (d) A spaceship moves with velocity (4/5)c relative to Earth. The astronaut throws his empty beer bottle out the window with velocity (3/5)c relative to the ship in the sideways direction. What is the velocity of the bottle (magnitude and direction) relative to the Earth (i)...

Homework Statement A rocket of rest length 100 meters is moving at .6c relative to Earth and contains an astronaut at the tail end of the ship. The astronaut fires a bullet toward the front of the ship. The velocity of the bullet relative to the astronaut is 0.8c. How much time does it take the...

Is several other threads some arguments depend on what circumstances angular momentum is conserved in relativity and that is what I would like to establish here. This Wikipedia article http://en.wikipedia.org/wiki/Relativistic_angular_momentum describes relativistic angular momentum as being...

Homework Statement I am trying to grasp this stuff, but it is getting late and my mind is noodeling. Can I have some help on this? show that d(λmu) = m(1-(u^2/c^2)^(-3/2) du thanks! Homework Equations λ = 1/√(1-(u^2/c^2)) The Attempt at a Solution I have attacked this through...

The presence of a cosmic string does not lead to gravitational attraction of a particle placed some distance away from it. But it affects the geometry of planes orthogonal to the cosmic string, such that the circumference of a circle traced out when moving around it at a distance r is given by...

I have recently come across relativistic electromagnetism so I am very new to it. The situation described to me was one where a positive test charge moves above a wire with a velocity V which matches the current in the wire in both magnitude and direction. Apparently, from the test charge's...

EDIT: Okay I don't expect an answer for this because of my crappy attempt at LaTex, i'll work on making it look prettier sorry Homework Statement If the kinetic energy of a particle is equal to twice its rest energy, what percentage error is made by using p = mu for the magnitude of its...

Hi, I`ve been dabbling in some basic special relativity and when your deriving the famous equation E = mc^2 you get to this equation just before it. KE = mc^2/sqrt1-v^2/c^2 - mc^2 ie KE = Etotal - Erest but when I try assign a mass and velocity of one i get a kinetic energy of...

I'm trying to make a chart that displays how much energy it takes a rocket with x mass to reach Y factors of relativistic change but do not know how to build the equation that will give me such information. Can anyone help me with this?

I've been trying to work on differential equations using several books and one of the first exercise questions I encountered already has me stuck. The momentum p of an electron at speed v near the speed c of light increases according to the formula p=mv/√(1-v^2/c^2), where m is a constant...

I was just wondering if this problem is right and I'm missing something or ... http://www.astronomy.ohio-state.edu/~ryden/ast143/ps3_soln.pdf Cuz I'm reading the GRE book and it says here to use the relativistic Doppler shift formula. So the problem in the link would need to be solved like...

How are classical formulas in physics (such as p = mv, or kinetic energy, or maxwell distribution of speeds) treated with the appropriate relativistic correction/modification? Is it done by using the Lorentz transformation equations? Could anyone give me a few examples of relativistic...

I realize this is something I should probably know intuitively, but why are core states (generally) treated relativistically in density functional calculations? What exactly makes these relativistic bound states rather than non-relativistic? I think this is some basic physics I'm forgetting.

So, I was thinking about this the other day. If we watch material approaching near the event horizon of a black hole get scattered all over the place, then would the opposite be seen for an observer falling into a black hole? Instead of us seeing them scattered all over the place, would they see...

Hey, In a derivation of relativistic energy (in Physics for Scientists and Engineers, 5th edition, Serway and Beichner) they use a method of integration by substitution: Given that F=\frac{dp}{dt} and relativistic momentum is given by p=\frac{mv}{\sqrt(1-(v^2/c^2))} W=∫F...

Homework Statement Electrons are accelerated by a potential difference of 0.10 MV. Determine: a) The mass an accelerated electron b) The velocity of an accelerated electron The mass of the electron has been successful determined, which I give here. I was doing wrong when I was...

Homework Statement The spaceship is approaching Earth with a speed ##\scriptsize 0.6c## under an angle of ##\scriptsize 30^\circ##. What frequency does an observer on Earth measure if spaceship is sending frequency ##\scriptsize 1.00\cdot10^9Hz##. Homework Equations Lets say we take the...

I was just curious as a possible confusion that might occur when graphing a v vs t Graph. Because velocity is a function of time, but time is also dependant on velocity, so how would we denote this on a graph? Hope i got my point across, thanks!

According to the theory of relativity, the universe should expand from the center (place of Big Bang) with a maximum possible radial speed close to the speed of light c. So, the galaxies and intergalactic matter moves with a radial speed close to the speed of light too. For instance, this allows...

^^This is how the Sun would look from a distance of 4 light-years. If you add all the relativistic effects and stuff, wouldn't the Sun disappear from the visible spectrum? I was told that from a mathematical point of view, it is correct to say that some visible photons would still reach you, but...

I believe this delves into relativistic physics so I put this here. If I am incorrect I apologize. I've been learning about magnetic fields and how they are generated by moving charges. If a charge is moving at some arbitrary speed it generates a magnetic field. This is what I've been taught...

Energy is E=γmc^2, but when I calculate this, will my result be in joules? I am unsure what the units are when I calculate it, and I keep hearing people saying joules. Also, what is PJ and MJ?

the problem is on page 26 of "relativistic quantum mechanics and field theory" by Franz Gross. consider the lagrangian density: L=(1/2)[(∂ψ/∂t)^2 -(∂ψ/∂z)^2 -m^2ψ^2] a) find the momentum conjugate. b) find the equation of motion for the fields and the solution. use periodic boundary...

I am doing the integral DK = ∫pdv = mv/(√1-v2/c2)dv , in the same way as they do the ∫Fds = ∫mvdv if you separate the integrals. Where is my mistake and istead of (γ-1)mc2 I get -mc2/γ . I know that I am mistaken, I did see some equations but I don't get the 'theoretical' part.

At which speed does the Sun disappear from the visible part of the spectrum if I were to travel towards it at high speed? Let's assume there are no other stars in the visible universe and I'm a few light-years away.

Homework Statement There is a magnetic field given by the equation \overrightarrow{B}=B_{0} \hat{x} \sin\left(2\pi z/L\right). If there is a 10^7 eV electron going in the \hat{z} direction (moving at a relativistic velocity), a mag. field strength of 0.1T, and a mag. period of 0.01m, what...

In Feynman Lectures on Physics vol 2 pg.13.6-13.10 develops the equations for a current carrying wire and a moving charge ( negative test charge) with the same velocity as the electrons in the current. He looks at this situation from two reference frames, 1) the wire still and test charge and...

I understood the derivation of relativistic momentum, but I am uncertain of how to exactly interpret it. One could interpret the arrangement of terms to be relativistic mass times velocity, and this appears to be in agreement with data from particle accelerators (or so I have been led to...

Hi Forum, It is said that the Magnetic field is a relativistic effect. I went to the Feynman lectures on Physics and found an example based on the force a charged has when moving at speed v next to a conductor with a current density J. I understand that the framework at rest uses a magnetic...

Homework Statement (a) Show that E2 - p2c2 is a Lorentz invariant, where E is the total energy, p is the momentum, c is speed of light. (b) In the lab frame, an utlra-relativistic electron with γ = 100 collides head-on with a photon of energy E. Find the threshold energy E required to...

Hi. I need to find the mass (relativistic mass?) Of an object in rotation. Say I have a string with a small rock tied to the end. The relevant variables are: A) The circumference of the weights path. B) The weight of the rock itself. C) The revolutions per minute that B...

Ok so I have two very different questions, both closely tied to the concept of relativistic angular momentum. Question #1: Why do people claim there is a minimum radius for a classical model of electrons with spin? The typical argument is that if the radius were to fall below some minimum...

Homework Statement Asked to calculate the relativistic correction, to the differential scattering cross section which is given by the equation below in terms of E, E0 and θ where E0= .511 MeV. with 100MeV electrons from an Au nuclei at certain angles θ. Homework Equations Relativistic...

Homework Statement How does one solve the tensor differential equation for the relativistic motion of a partilcle of charge e and mass m, with 4-momentum p^a and electromagnetic field tensor F_{ab} of a constant magetic field \vec B perpendicular to the plane of motion...

I do have a specific example/problem, but my actual question is more so conceptual (I'm sure that seeing someone confused by relativity is a first around here!). The problem: Two rockets are each 1000m long in their rest frame. Rocket Orion, traveling at 0.900c relative to the earth, is...

Homework Statement A point charge q is moving relativistically with constant speed ##\beta## along the x-axis. At t = 0 a constant decelerating force F is applied in opposite direction of its velocity. If the charge stops after traveling a distance d, find the total radiated energy...

I was reading through this article http://en.wikipedia.org/wiki/Four-momentum#Conservation_of_four-momentum It says "The conservation of the four-momentum yields two conservation laws for "classical" quantities: The total energy E = P0c is conserved. The classical three-momentum p is...

I am still trying to derive all the relations in relativistic mechanics, and have narrowed one of my problems down to the following. If E = m (c=1), then shouldn't dE/dt = dm/dt ? The left side of that equation is the work done on the particle per unit time, or the velocity vector -dot- force...

Homework Statement A particle with rest mass m_{0} and kinetic energy 3m_{0}c^{2} makes a completely inelastic collision with a stationary particle of rest mass 2m_{0}. What are the velocity and rest mass of the composite particle? Homework Equations T = (\gamma - 1)m_{0}c^{2} = E -...