Relativistic Definition and 1000 Threads

Homework Statement How fast must a body be traveling if its forrect relativistic momentum is 1% greater than the classical momentum Homework Equations P_r = mv/sqrt(1-(v^2/c^2)) P_nr = mv p_r = 1.01P_nr The Attempt at a Solution mv/sqrt(1-(v^2/c^2)) = 1.01mv mv =...

Hey, I'm pretty confused by this relativistic collision problem. A particle of mass m moving along the x-axis collides elastically with a 2nd particle of identical mass at rest in the lab frame and scatters. Its final momentum makes an angle theta with the x-axis in the lab. If its initial...

Student here, please forgive... I have a question about relativistic mass in galaxies. Is the mass of far away galaxies affected by expansion of universe? That is: Is mass of a far away galaxy is different for observer there compared to the observer here? Let's say there is a galaxy identical...

I happened to stumble across these books which seem to give decent backgrounds on the subject. Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions by Ian J. Thompson and Filomena M. Nunes...

Homework Statement We have the decay process: pion --> muon + anti muon neutrion How long does the muon travel before it decays? (the pion is stationary before the decay) The answer is supposed to be d = c * t (m(pi)^2 + m(mu)^2) / (2 m(pi) * m(mu) ) where t is the mean lifetime of the...

I'm having trouble getting all of the relativistic dynamics information straight in my head. In particular, I'm having trouble with reference frames. It seems that when I am trying to solve problems, even simple ones, I am struggling with what each observer in the different frames should be...

I have been doing research lately. And I wanted to know if anyone could tell me what exactly in relativistic mechanics makes us not able to achieve the speed of light?

Homework Statement A gamma ray photon with wavelength=2.0 * 10^-15m is traveling in the positive x direction undergoes a one dimensional collision with a stationary proton. a.) find the relativistic momentum and energy of the photon and proton before the collision. b.) assuming the...

Homework Statement A source and detector are placed a certain angle \phi apart on the edge of a rotating disk. The source emits radiation in all directions at a frequency \omega_* in its instantaneous rest frame. What frequency is the radiation detected at? (Hint: Little information is...

\frac{\partial \rho}{\partial t}+div\vec{j}=0 In Deckart coordinate system \frac{\partial j_x}{\partial x}+\frac{\partial j_y}{\partial _y}+\frac{\partial j_z}{\partial _z}+\frac{\partial (c\rho)}{\partial (ct)}=0 definition divA^{\mu}=\frac{\partial A^{\mu}}{\partial x^{\mu}} scalar...

If we have case \rho=0, \vec{j}=\vec{0} then we have this equations \Delta\vec{E}-\frac{1}{c^2}\frac{\partial^2 \vec{E}}{\partial t^2} \Delta\vec{B}-\frac{1}{c^2}\frac{\partial^2 \vec{B}}{\partial t^2} Particular solutions of this equation \vec{E}=\vec{E}_0...

Homework Statement Assume a particle moves along the x-axis. It is uniformly accelerated, in the sense that the acceleration measured in its instantaneous rest frame is always g, a constant. Find x and t as functions of the proper time tau if the particle is at x0 at t=0 with no velocity. The...

Homework Statement In a fission process, a slow neutron causes a uranium nucleus (m=218943.42 MeV/c^2) to split into a barium nucleus (m=131261.73) and a krypton nucleus (m=85619.32), plus two excess neutrons (actually 3 including the original neutron, but that is present before the process as...

Does photons actually slow down near a black hole? Whenever I look up these info, I always read the mention of red shifting. The problem is we don't have a detector that is immune from the effects of relativity to directly observe these events in real time. However, does current...

Homework Statement Let us consider a perfectly inelastic collision between two protons: an incident proton with mass m, kinetic energy K, and momentum magnitude p joins with an originally stationary target proton to form a single product particle of mass M. Due to conservation of momentum...

Homework Statement Show that the addition of velocities implies the following: - If | \vec V | < c in one inertial frame, then | \vec V | < c in any inertial frame - If | \vec V | > c in one inertial frame, then | \vec V | > c in any inertial frameHomework Equations V^{x'}=\frac{V^x...

So, there is a sentence in my book, along with a graph, stating that "relativistic kinetic energy becomes infinite as v approaches c." But then in a concept problem, it says "A proton is accelerated from rest by a constant force that always points in the direction of the particle's motion...

If a bike is running at v=0.866c, and it travels path of length L in time T, when observed from the stationary frame, same path will have length L/2 and be traveled in time T/2 in his, moving frame (because gamma=2 for v=0.866c). Now, what I don't understand is: If the bike is not...

Homework Statement For a relativistic ideal gas, the momentum probability distribution is given by where http://latex.codecogs.com/gif.latex?\epsilon_p=\sqrt[]{m^2c^4+c^2p^2}. Determine A Homework Equations The Attempt at a Solution I know that...

For example, a top spinning near the speed of light, would the relativistic mass be affected by gravity and therefore increase the weight of the object? If it does, then are the highest speeds which we could realistically get it to spin at it not even close to the speed of light, making any...

Homework Statement Train Direction----------> ------------------------------------------------------------------------------------- Andy Train...

Homework Statement Find the speed of a particle whose relativistic kinetic energy is 40% greater than the Newtonian value for the same speed. Krel = relativistic kinetic energy Knew = Newtonian kinetic energy Homework Equations Krel = (gamma - 1)mc^2 Knew = 0.5mv^2 gamma =...

I've been trying to graph an idea I had, but frankly I don't understand SR well enough to ensure my assumptions are correct, and that I'm using the correct formulas. I would appreciate any input/corrections you folks could give. Here's the idea, which I'll follow with my assumptions: Idea...

Homework Statement What is the most general mathematical form for the relativistic momentum which will prevent the velocity of an object from becoming greater than c, when the object is acted on by a constant force F and the equation of motion is dp/dt=F Homework Equations The...

While observing the Sun, which is 8 light-minutes 12 light-seconds away from us. We (by visible and invisible spectrum of the electromagnetic radiation) observe its state 8.20 minutes ago. Special relativity forbids any information to travel at speeds greater than that of light. This should...

Homework Statement A car is getting closer to a radar as a speed of 135 km/h. If the radar works at a 2 \times 10 ^{9} Hz, what difference of frequency is observed for the radar?Homework Equations \mu=\frac{\mu _0 \sqrt {1- \frac{v^2}{c^2}}}{1-\frac{v}{c}}The Attempt at a Solution I converted...

Homework Statement How does change acceleration of relativistic linear harmonic oscillator with distance of equilibrium point in laboratory reference system? Homework Equations The Attempt at a Solution x=x_0sin(\omega t+\varphi) \upsilon=\omega x_0cos(\omega...

Is there a general analytic solution to the classical motion of a relativistic charged particle in a static Coulomb potential? Of course, the non-relativistic limit is simply Kepler's problem. Quantum effects should be ignored, but relativistic effects (such as E field transforming into B field)...

http://img842.imageshack.us/img842/9193/38076308.jpg Uploaded with ImageShack.us Homework Statement The velocity of B w.r.t A is: \vec{v}=0.6c\left ( \frac{\hat{x}-\hat{y}}{\sqrt{2}} \right ). what is \alpha (the 90 degrees of the triangle in A's frame) in B's frame? 2. The...

I'd liked to know whether the postulates of standard QM are still valid in Relativistic QM By postulates I mean what is ussually stated in texbooks as follows 1)Physical states are determined by a vector in sate space E 2)A measurable physical quantity A is described by an observable A acting...

If so, wouldn't gamma would be like? (1 - w^2 / c^2)^-1/2 or (1 - v^2 / r^2c^2)^-1/2

I was trying to read up on the effects of the Lorentz transforms on electromagnetic fields in the stationary and moving frames and came across the following equation for the E-field: [1] E= \frac {Q}{4 \pi \epsilon_0 r^2}* \frac {1- \beta^2}{(1- \beta^2 sin^2 \theta) ^{3/2}} The first...

Homework Statement A particle having a 3m rest mass is moving with velocity v towards another particle, which is at rest and having a rest mass of m. After the collision, two new particle are formed, each having a rest mass of 2.5m I'm required to find the minimum velocity for which such a...

Hi everybody, When I have a perfect fluid within a constant gravitational field g, the pressure at depth z simply reads P=\rho g z, where \rho is the fluid density (incompresible). If now my g is still constant, but my fluid is relativistic. Not because it's moving (everything is still)...

I've read conflicting accounts on this subject. Some say it does, some say it doesn't, some say the entire idea of relativitic mass is a "rampant pedagogical virus". So please inform me when I'm making a mistake. So does the gravity of an object it exerts on it surroundings increase with it's...

Just reading Prof. Mead's book 'Collective Electrodynamics' Does anyone know of a (readable) discussion of electrodynamic momentum vs. total momentum with a relativistic correction for velocity?

Homework Statement A photon of momentum P strikes a nucleus at rest and s absorbed. If The final (excited) nucleus is M calculate its velocity. Homework Equations p = mv/(gamma) The Attempt at a SolutionP = Mv/gamma P^2 - (Pv/c)^2 = (M^2)(v^2) P^2 = (Mv)^2 + (Pv/c)^2 V = P / sqrt(...

In the double slit experiment, an observer appears to change the behavior of the particle/wave. Would it be possible to use relativistic simultaneity to explain the change in behavior of particles/waves? A potential passing by, and being observed by an observer, causes the potential to become...

We consider two stars which initially were at rest with each other, and were gravitationally influencing each other. We assume a kind of gravitation force which propagates at light speed. Now we give equal velocity (in relatively opposite direction) to both stars. Since gravity is propagated at...

Homework Statement My teacher has written in his lecture notes that For massive relativistic particles, E = 0.5mv2 = p2/2m. Homework Equations The Attempt at a Solution I don't understand why the particle has to be massive for the equation to work. Please help!

[PLAIN]http://img46.imageshack.us/img46/1699/dsfadsfas.png The formula holds in the rest frame. Why is this particular extension 'the' extension? (Context is Electrodynamics/SR. It's just a piddly 16 lecture course that outlines Electrodynamics and SR and a bit of Quantum phenomena at the end...

Hey everyone, from Srednicki's QFT textbook I've read that there has been work on the following attempt to obtain a relativistic quantum theory: instead of treating space as a label like time, promote time to an operator, such that you get 4-position and -momentum operators. Now I know that...

Hi I'm writing a science fiction novel, and I'm trying to figure out how to make an approximation on the travel time of a hypothetical spaceship traveling at relativistic speeds. Given the following: The spaceship is capable of accelerating at a constant 1G, until it reaches a top speed of...

The problem is 2.1.b in Becker, Becker, and Schwarz. I can't figure out what I'm doing wrong... any help would be appreciated, I'm probably missing something dumb. Homework Statement For X^0=B\tau, X^1=B\cos \tau\cos\sigma, X^2=B\sin\tau\cos\sigma, X^i=0 for i>2, compute the energy and...

Hey guys, I couldn't find a question like this elsewhere on the forum so hopefully I'm not repeating what someone has already asked. Can a purely electric field in one inertial frame of reference transform into a purely magnetic field in another? Explain -- My initial instinct was...

Homework Statement Consider the following reaction that is possible when a proton (p+) collides with a photon (γ): p+ + γ → ∆+. Suppose that the photon is a cosmic microwave-background (CMB) photon of energy 2.3 × 10−4eV. Calculate the minimum energy that the proton must have for this...

Homework Statement I have a relativistic electron with energy 10^10 eV and I want to work out its speed. I'm not told if that's total energy or just kinetic energy - which is the sensible assumption to make? Homework Equations (E_tot)^2 = p^2*c^2 + m0^2*c^4 p = gamma*mv gamma =...

Hi. I was wondering if anyone has a simple derivation of relativistic momentum from lorentz transformation or the relativistic velocity addition formulas. I have attempted to understand this example: http://en.wikibooks.org/wiki/Special_Relativity/Dynamics#Momentum but I have been having...

This is NOT homework (school is out), but it has the form of a problem because making up problems is how I "test" these ideas to convince myself they work. I tried the search function and couldn't find what I was looking for. EDIT- I am not trying to "show my own theory," etc. When I have been...

Until now, I always that that a relativistic mass increase was literally just the increase in the mass of an object. Today I googled it, and a couple sources say that it is just an increase in energy, not mass. Can anyone confirm this? At first I thought if the mass increased, then it would...