What is Relativistic kinematics: Definition and 25 Discussions
The relativistic Doppler effect is the change in frequency (and wavelength) of light, caused by the relative motion of the source and the observer (as in the classical Doppler effect), when taking into account effects described by the special theory of relativity.
The relativistic Doppler effect is different from the non-relativistic Doppler effect as the equations include the time dilation effect of special relativity and do not involve the medium of propagation as a reference point. They describe the total difference in observed frequencies and possess the required Lorentz symmetry.
Astronomers know of three sources of redshift/blueshift: Doppler shifts; gravitational redshifts (due to light exiting a gravitational field); and cosmological expansion (where space itself stretches). This article concerns itself only with Doppler shifts.
I'm going to go step-by-step through the reasoning. If there is any mistake, then it is a true mistake because I am trying to make each statement that follows as accurate as I can.
Unambiguous time scale in a single frame of reference.
Consider that we have two inertial frames of reference, 1...
I don't know why I'm so puzzled by this problem; it's only one star. So first, I drew a picture of A and B in the ground frame. Then I drew B and the ground in A's frame. I then used the velocity addition formula to obtain the velocities of both B and the ground relative to A.
$$\frac{v_{B}^{A}...
I’ve read Beiser’s Modern Physics Chapter 1 and I am able to grasp the general theories but not so much when applying it to problems. I major in Chemistry and would really appreciate any head start/help/suggestions. For number 1 I thought of using L = L0 sqrt 1-v^2/c^2 but can’t seem to find the...
Hello everybody!
I am working on a code in which I need to study the dependence of ##<p_T>## vs ##p_L## (the average transverse momentum and the longitudinal momentum of a particle). I am looking for references, papers, books, etc. concerning this topic, but I have not been so lucky. My...
Can someone explain? When two charge moving as fast as possible , what force is acting on for blocking to collide.I mean if you think you are not moving and you are looking 2 charge which are moving as fast as to near light speed, they must collide each other if charge is not increasing...
Homework Statement
A photon hits a proton at rest in the laboratory frame and there is the process:
$$\gamma + p \rightarrow n+\pi^+$$
The mass of the pion is ##m_\pi## and assuming that the masses of the proton and the neutron are the same (##m##):
Finding the threshold energy of the foton...
Homework Statement
Considering 2 scattering particles with momenta ##p_{1}, p_{2}##, where ##p_{2} = 0## in the Lab reference. The momenta of these 2 particles after elastic collision are ##p_{1}', p_{2}'##, respectively. Due to the 4-momentum relation, we have ##p_{1i}p_{1}^{'i} = e_{1}e_{1}'...
I'm in the process of learning special relativity (SR), and I'm a bit confused as to why the relativistic energy dispersion relation ##E^{2}=m^{2}c^{4}+p^{2}c^{2}## gives the energy for a free particle? I get that it is the sum of (relativistic) kinetic energy plus the rest mass term (a...
Homework Statement
In the inverse Compton scattering there is a particle, with energy ##E## in the laboratory frame and mass at rest ##m##, which collide head on with a photon with energy ##E_\gamma##. Finding the maximum energy the photon can have after being scattered.
The Attempt at a...
Homework Statement
Finding the maximum scattering angle of a particle whose mass in ##m_1## which hits with relativistic velocity ##v## a particle at rest with mass ##m_2<m_1##.
The Attempt at a Solution
I've written the 4-momenta (p before the collision, k after the collision and the z-axis...
Let's assume that a disk is rotating with relativistic speed in a frame. We can find the velocity of a particle using v=rw formula. However, what is the r in this formula? is it the radius of the disk in rest frame or in the lab frame??
And Is the magnitude of velocity same for all points of...
Homework Statement
A body at rest in a frame of reference S disintegrates into two pieces moving in opposite directions. The masses of each fragment are 3.0kg and 4.0kg and their velocities 0.8c and 0.6c, respectively. Find the mass of the body before it disintegrated. (Answer: 10kg)
Homework...
Homework Statement
The ##B^+## meson decays through the weak interaction. One of its decay channels is . If a ##B^+## is traveling with a total energy of 9.90 GeV, calculate the range of possible energies the produced may have. (i.e. determine the minimum and maximum values of its energy.)...
Hello to everyone! I cane across this problem and since I have no training in SR I can't solve it on my own, That is why I would very mutch apprecitate any help I could get.
The problem:
A photon and a spaceship simultaneously start at planet A and the travel in paralal towards planet B. The...
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 -...
Homework Statement
The sigma Baryon Σ0 is at rest and decays to form an Λ0 and a ɣ photon.
Homework Equations
Mass of Σ0 is 1193 MeV/c^2
Mass of Λ0 is 1116 MeV/C^2
The Attempt at a Solution
K obviously since the Σ0 is at rest, momentum must be conserved and the Λ0 and ɣ go...
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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...
Hello my name is Unto
I currently study Physics (it's my first year) at the University of Bristol in England.
I first came here with a really horrible relativistic kinematics problem, but I got no answers and managed to solve it myself.
However you seem like nice guys, and it's always...
Here is the question that i am struggling with.
A motorist passes a red traffic-light (wavelength = 650 nm). The motorist’s velocity
makes an angle theta to the direction of light from the traffic light. Write down in four-
vector and matrix form the relationship between the four-momentum of...
Hi all,
I would be very grateful if anyone would be willing to check my understanding of this stuff as it has been several years since I used it in undergrad calculations.
If a proton and a photon collide head-on with known energies, then the energy in the center of mass frame will be...
An observer sees two spaceships flying apart with speed 0.99c, what is the speed of one spaceship as viewed by the other? the answer is: 0.99995c.
well we have the equation of relative velocity:
\frac{v_1+v_2}{1+\frac{v_1v_2}{c^2}}=0.99c
now i think from the question that i need to find...
I've done a countless number of these problems before, so I was quite annoyed when I was unable to do this one. It's from Griffiths' Intro to Elementary Particles.
Homework Statement
A pion traveling at speed v decays into a muon and a neutrino,
\pi^- \rightarrow \mu^- + \bar{\nu}_\mu
If...
A rocket approaches a mirror on the ground at a speed of 0.90c. The distance D between the front of the rocket and the mirror is 2.4 * 10^12 m, as measured by ground observers, when a light signal is sent from the front of teh rocket. When is the reflected signal received by the rocket as...
Anyone knows what it is "Relativistic Kinematics"?
Please give me some "introduction"," History" " Reference website"..I don't know how to approach this topic? I need to write a paper about it?
Frustrated!