Relativistic Definition and 1000 Threads

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...

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...

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...

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...

Hi, as you all know, current cosmological N-body simulations (like the Millenium run) are based on the Newtonian limit. Gravitational fields are supposed to be rather weak and therefore the force between dark matter particles reduces to Newtonian gravity. Other relativistic effects are...

What is the simplest Lorentz covariant force - the relativistic version of an ideal Hookean spring in Newtonian mechanics? "Simplest" as an easy to do an ideal calculation with.

This question on my final blew my mind and I have no clue where to even start: (verbatim, not exact wording and so 'theoretical' I almost posted it under relativity) Given that an observer on Earth with acceleration due to gravity 9.8 m/s^2 has an indestructible frictionless gyroscope and a...

I have in mind to build a game to help teach or demonstrate some concepts in QM and I thought it would be nice to be able to measure momentum. So as a proof of concept before I get too many man hours burned on the project I thought it would be good to do the infinite square well. I managed to...

It is obvious from particle accelerators that accelerating a mass increases its inertia. That should be a valid observation in all frames. But if the angle between the acceleration vector and the velocity vector is relative to the observer, then whether the mass is accelerating or...

I have sent approximately the following to a relativity prof at my university. It's summer, so I don't know if he'll read it, or be interested. So here it is for discussion. Hello, I wonder if you could tell me if the following experiment would have merit. To measure actual...

After searching, I found only one post-title on the Penrose and/or Terrell effect/rotation. It is odd that innumerable popular discussions on PF and elsewhere omit this 50+ year modification of externally measured length-'contraction'. There is neither contraction, nor measured contraction...

And why does it increase as you travel faster and faster?

A beam of hydrogen and antihydrogen atoms is accelerated to relativistic velocities by means of a neutral beam accelerator. Identical photodetectors gather and record the photon energies of annihilating H and -H at both ends of the accelerator: where the atoms start; and at the end of the...

They've just now kept antihydrogen in a bottle for some 15 minutes. Suppose we inject some H and measure the annihilation photon energies. Then we accelerate the mixture (somehow) to a velocity around .99c and measure the energies of those photons that are emerging orthogonal to the...

http://www.weburbia.com/physics/mass.html If it is not wrong, why not go about setting it straight and making it clear? Are we going to totally ignore the physical implications of having a relativistic mass, such as its dependence on the work done on the body relative to a given inertial...

hi, i was tryin to learn some relativistic particle dynamics and came across reltivistic force m\frac{d^{2}x}{d\tau^{2}},how does this help in transforming forces between reference frames?i dnt understand how this wrks since the vale of velocity changes with time

In a practice exam I just did for my upcoming high school mid-year, there was a multiple choice question and the two answers that seemed plausable were "relativistic momentum depends on the mass and velocity of the object" or "relativistic momentum depends only on the mass of the object". I...

The site http://www.anu.edu.au/physics/Savage/TEE/gallery.html tries to show viewers what high-velocity travel would look like, taking into account all sorts of relativistic and optical effects. Very often, it features an object, like a train, accelerating to speeds close to c. They treat...

What is the relativitic correction to the e^2/r coulomb law without spin between two electrons.second order is enough.

Hydrogen normalized position wavefunctions in spherical coordinates: \Psi_{n \ell m}\left(r,\theta,\phi\right) = \sqrt{{\left( \frac{2}{n r_1} \right)}^3 \frac{\left(n - \ell - 1\right)!}{2n\left[\left(n + \ell\right)!\right]}} e^{-\frac{r}{n r_1}} \left({2r \over {n r_1}}\right)^{\ell} L_{n -...

Homework Statement I am given an equation, say (239/94)Pu-->(110/53)Fe+(125/41)Nb+4neutrons I am asked to calculate the relativistic energy so I do that. Q=m(left)-m(right)c^2 I know that m(left)=m(Pu) I know that m(right)=m(110Fe)+m(125Nb)+4m(neutron) (i put the answer into MeV for...