Relativistic Definition and 1000 Threads

Hey all, After reading some fairly elementary texts on special relativity, I understand length contraction and time dilation no problem, as it is well explained with examples of proofs, but I hate to say that relativistic mass is explained nowhere. I know this question has probably been asked...

After being created in a high-energy particle particle accelerator, a pi meson at rest has an average lifetime of 2.60 x 10^-8s. Travelling at a speed very close to the speed of light, a pi meson travels a distance of 120m before decaying. How fast is it moving? Answer: 0.998c Could...

When accelerating an electron through a PD of 10^3, that will give a momentum of 1 MeV/c right? Or is there something I'm not taking into account with relativity? Thanks :D

In another thread I asked the question if my mass is comprised of "Higgs Mass" and "Kinetic mass". Drakkith was nice enough to reply best he could, but wasn't certain. So yea, that's what I am wondering. Is my mass comprised of higgs and kinetic?

A quasar is moving away from the Earth with a speed of 0.850C. It emits a proton that eventually reaches earth, and is traveling at a speed of 0.519C relative to the earth. How fast is the proton moving relative to the quasar? Is this answer as simple as it seems? is the answer simply...

Hi everyone, I found a derivation for relativistic momentum on this page: http://en.wikibooks.org/wiki/Special_Relativity/Dynamics I understand it all the way through, except the point where they have come to this equation. m_{red} = \frac{m_{blue}}{\sqrt{1-(\frac{u(x,r)}{c})^{2}}} Where(as...

before i ask my question i want to review two points: 1. place a body like a moon or a planet near a black hole, as the body approaches the extreme gravity affects the body deferentially. 2. review the tidal forces on Jupiter's moon Io leading to volcanic/tectonic consequences. now take...

Homework Statement show the d(γmu) = m(1-(u^2/c^2))^(-3/2) Homework Equations C = constant, m = constant, γ= (1-(u^2/c^2))^(-1/2) The Attempt at a Solution So in calculating d(γmu)/du, I thought I would take out the m first since it is a constant and then just add it in later...

I have read: F=q(v*B) where q=charge of the particle v=velocity of the charge particle B=magnetic flux density F= force experienced by the charged particle Now,I could not understand what is the velocity v with respect to? Please help me.

Homework Statement Using natural units with c=1. We have our Sun and a star at rest relative to it one light year away. A spaceship travels from our Sun to the star with v=1/2. During the journey how much time passes on the space ship's clock? How much distance does the captain of the...

Homework Statement A proton with M0 and energy 200 MeV collides with another proton at rest. How much kinetic energy does either proton have in the inertial frame in which they collide with equal and opposite momentum Homework Equations KE=1/2mv2 p=γmv λ=1/√(1-v2/c2) E=moc2γ The...

Homework Statement An excited nucleus of krypton-80 emits a gamma ray that travels at the speed of light relative to the nucleus. The nucleus itself has a speed of 0.60c relative to the sun. Use a relativistic velocity transformation to determine the speed of the gamma ray relative to the...

As I understand it, if you are moving fast enough relative to me, your mass increase will cause you to APPEAR like a black hole to me, even though you will not see yourself as a black hole. It would be an illusion, right? And also you would see me as a black hole while I would reject that view...

Homework Statement A D0 meson (with a rest mass of 1.86 GeV/c2), initially at rest, decays into a K0 meson (with a rest mass of .51 GeV/c2) and a \pi0 meson (with a rest mass of .12 GeV/c2). What is the Kinetic Energy of the \pi0 meson? Homework Equations E=\gammam0c2 p=\gammam0v...

Hello everyone, I'm trying to calculate the doppler shift in frequency of a moving source. I'm approaching the problem from two different frames of reference and getting inconsistent results. what am I missing here? consider the special case of transverse doppler effect (θ=π/2). light...

Homework Statement I have done some calculations in which a particle is emitted. The two parameters of interest are the energy that goes into its momentum and the time that passes on the particle's clock for it to go a fixed distance. If I have done this correctly then the product of these...

Relativistic correction to quantum mechanical system: quantum well with a particle moving in high velocity relative to lab frame (the well moves together with the particle in it). Without relativistic correction there will be a probability for the particle to be outside the well since it's...

Newtonian physics correctly predicts that a planetary orbit will be an ellipse and general relativity correctly predicts that this ellipse will rotate, as was demonstrated with mercury. The only thing that I can think of is that because the orbit is an ellipse then the planet will be...

I propose an explanation of the special relativistic time dilation and calculation of its factor in terms of the difference in observational times for incoming and receding objects, based on the following thought experiment: Imagine a spaceship coming from planet X to Earth with velocity V...

Homework Statement A 3.000 u (1 u = 931.5 MeV/c2) object moving to the right through a laboratory at 0.8c collides with a 4.000 u object moving to the left through the laboratory at 0.6c. Afterward there are two objects, one of which is a 6.000 u object at rest. Determine the mass of...

Homework Statement relative to A, B is moving towards A at a speed of 0.4c. Farther out C is moving towards A at a speed of 0.5c. all motion is along the x-axis how fast is C moving relative to B? Homework Equations U = (U' + V) / 1+ VU'/c^2 The Attempt at a Solution...

I read somewhere else on this forum that photons have zero invariant mass, only relativistic mass. Here is my problem, Einstein's equation for relativistic mass says that is invariant mass is zero then so will relativistic mass at all velocities. If a photon does have relativistic mass, then...

Homework Statement (7.) If its kinetic energy is 3000 MeV, find its speed as a multiple of c. In this case you cannot use the nonrelativistic approximation. m=4000 MeV/c^2 (rest energy=4000MeV) ^from previous problem, of which this one is a continuation Homework Equations...

If somehow a massive object, let's say 3e5kg, was accelerated to a relativistic velocity and it blows by Earth at 0.9c a few hundred km above the surface of the earth, what happens? At that speed, it clearly has enough energy to warp spacetime; would it have a noticeable effect here on earth...

Homework Statement I recently finished a test that asks you to derive Power = \frac{dE}{dt} = F \times v from the energy equation: E^2 = E_{0}^2 + (pc)^2 Homework Equations Power = \frac{dE}{dt} = F \times v E^2 = E_{0}^2 + (pc)^2 p = \gamma m v The Attempt at a Solution I got...

Homework Statement Find the force necessary to give a proton an acceleration of 10^19m/s^2 when the proton has a velocity ( along the same direction as the force) of 0.9c Homework Equations p=gamma * m * U F = d/dt [gamma * M * U] F=gamma^3 *m*a The Attempt at a Solution initial momentum...

I'm an engineer trying to get a reasonable laymen's/conceptual understanding of string theory. I've finally gotten a general understanding of developing classical equations of motion, but I'm a little stuck on relativistic equations. As I understand it, relativistic equations of motion are...

The relativistic momentum is given by p=mvγ, where Y is the Lorentz factor and m is the rest mass of the body. My question is that if we are considering the momentum of the body at relativistic speeds, shouldn't we also consider the relativistic mass of the body?

Let's say that body with rest mass m0 is falling toward gravitating body from infinity. Near gravitating body it falls with speed v=\sqrt{\frac{2MG}{r}} Is it right that relativistic mass of body falling at speed v near gravitating body is equal to the rest mass of the same body at infinite...

Hey all, I'm quite confused on this and am curious to be put straight. Now I understand the basic principles of relativity, this one just bugs me. Now I have always been taught that the famous E=MC^2 formula was proof that mass would reach toward infinity as it neared the speed of light...

for an inverse square field the force is proportional to 1/r^2 obviously we integrate over distance to get energy ≡ 1/r (where energy = 0 at infinity) but what happens when velocity becomes relativistic? is relativistic energy proportional to 1/r?if its any easier what I am really looking for...

Hello guys, I am not sure whether this is actually a simple problem but I'm not really a physics student, just someone very passionate for it. So I'm trying to use Newton's second law in its relativistic version (force is equal to the rate of change in momentum) to find the velocity and...

My physics teacher has informed us that for our mock waves exam we are going to be given some relativistic questions on doppler shift, as an experiment by our loving masters. We derived the Lorentz factor and some shift equations, but we haven't done anything else and I'd really like some...

Hi everyone. So basically I am still struggling to find a description of the derivation of relativistic momentum (via relativistic mass) which explains itself properly (although that may be my fault for not understanding). So, I tried doing it with help from Feynman and can't work out what I'm...

Derivation of Relativistic Momentum WITHOUT using Relativistic Mass? Does anyone know a way to derive relativistic momentum without falling back on the concept of relativistic mass? Also, if it is not already part of the derivation given, does anyone know how to show that relativistic...

Hi, so basically have been looking at http://en.wikibooks.org/wiki/Special_Relativity:_Dynamics#Momentum" and working my way through the maths for myself. However I have hit this point and can't get past it: \begin{align} u = \frac{v - u}{1-\frac{uv}{c^2}} \end{align} Which should be...

I'm stuck trying to complete this derivation of relativistic momentum without reverting to relativistic mass (a concept I don't like). Those who have read Richard Feynman's "Six Not So Easy Pieces" will realize that I'm really just taking his setup but instead of introducing relativistic mass to...

For the relativistic momentum p=(1/[1-u^2/c^2])mv does u always equal v or does u refer to the speed of the reference frame and v refer to the speed of the object?

I didn't know where to post this, but I figured since it has the word "relativity" in my question I would stick it here. V = IR. In a super conductor R = 0 and I = V/R = V/0 which is infinity. This implies an infinite number of charges per second flowing, and hence that the charges are...

Relativistic momentum is a vector, just as non-relativistic momentum is a vector, right? Part of the relativistic energy equation includes relativistic momentum. See here please: http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/releng.html" Could the relativistic momentum energy part of...

Please teach me this: The relativistic energy E=m.square(c)/squareroot(1-square(v)/square(c)) is determined by momentum p(because of ''square''(4-p)=square(m)).Then what is the role of potential in relativistic energy?When we consider the interaction between particles,how can we express the...

Homework Statement In a given inertial frame, two particles are shout out simultaneously from a given point, with equal speeds v, in orthogonal directions. What is the speed of each particle relative to the other? Answer: v{(2-\frac{v^{2}}{c^{2}})}^{1/2} Homework Equations Velocity...

As the title. More specifically, with respect to the center of momentum frames massless particles don't have, why not if they still do have relativistic mass? (Bracing for an easy answer to a stupid question...) :redface:

Let's say that according to frame B, we have two identical bodies with the same invariant mass, say 1 kg, each traveling in opposite directions at .1 c, where v1 = .1 c and v2 = -.1 c, which then collide and stick together. Since the frame is homogeneous and the bodies are identical, they will...

Suppose a particle in frame S moves with acceleration a_{x} and velocity u_{x} at a given instance in the x-direction. I wanted to find the acceleration in a frame S' moving with velocity v in the positive x-direction with respect to frame S. To do this I used the following approach...

Hi, I was looking at the relativistic equation for energy E^2=p^2+m_{0}^2 and was wondering about a methodology I took with it. Making the substitution E^2=\gamma^2 m_{0}^2 then p^2=m_{0}^2(\gamma^2-1) Considering only the \gamma-1 factor, this can be expanded...

A colleague and I are looking at modelling a hot electron beam hitting a initially charge neutral plasma. Initially we're looking at the 1D problem, the equations we're using are: \begin{array}{rcl} \gamma^{3}(v/c)\left(\frac{\partial v}{\partial t}+v\frac{\partial v}{\partial x}\right) & = &...

I was thinking, Suppose there are three boys in one room. A B C. They time there watches perfectly with each other. In each of their watches the time is 6:00. Boy A starts flying around with velocity {[3^(1/2)]/2}.c...he flies and boys B sees that the time on A's watch is ticking slowly. But...

Hi all, I've just been thinking about something today which I freely admit I've not got the knowledge to actually comprehend at this time (my physics studies don't start until September!) and so it might actually belong in engineering or it might just be a load of nonsense that I've gotten...

Can/do relativistic effects explain select quantum "phenomena" Can/do relativistic effects explain select quantum "phenomena"? A photon (a mass less "particle" that travels at the speed of light) experiences space-time in a different manner. A photon does not experience time. Would the sun...