Relativistic Definition and 1000 Threads

Imagine Batman has a new hyper speed Batship that is the shape of his circular bat emblem. The ground has convenient square grid on it and when parked on the ground the ship is exactly the same length as a square on the grid and its shadow touches the four sides of a square. Mounted underneath...

Homework Statement Calculate the number g* of effective relativistic degrees of freedom as the universe cools through the temperature ranges (i) T > 103 GeV, (ii) 1 MeV < T < 100 MeV, and (iii) T < 0:1 MeV. Homework Equations for the equation that is required to be used look the...

Homework Statement I am supposed to show that the force on a relativistic particle when a) it's perpendicular to particle's velocity is F=γm_0\frac{dv}{dt} b) it's parallel to particle's velocity is F_x=m_0γ^3\frac{dv_x}{dt} I may make use of the fact that...

I am working on an introduction to cosmology, I have began by the Newtoniant one (the Hubble law, the Friedmann, fluid and acceleration equations), and some of the aspects of the relativitic one. I want to relate the tow parts by mentioning the shortcomings of the first, and then mentioning the...

I'm trying to understand how the geometry of Minkowski space is related to physical observations, in particular, measurements of the velocity of an object. In the attempt below, I got stuck at the meaning of the relativistic 3-velocity. Can anyone get me back on track?

Does anyone know if any work, no matter how speculative, has been done on the following: Assume a ship (or any vessel) travels through space with a Gamma of 10-100. As the ship travels through the interstellar medium, there is a constant barrage of nuclear explosions over the tip of the jet...

Homework Statement A particle of mass m moving at speed \frac{3}{5}c collides with an identical particle at rest, and forms a new particle of mass M which moves off at speed v. Find v.Homework Equations E-P invariant: E_1^2-p_1c^2=E_2^2-p_2^2c^2=\mathrm{const.} Momentum...

Homework Statement (a) Consider a 10-Mev proton in a cyclotron of radius .5m. Use the formula (F1) to calculate the rate of energy loss in eV/s due to radiation. (b) Suppose that we tried to produce electrons with the same kinetic energy in a circular machine of the same radius. In this case...

Homework Statement a) What is the speed of proton that has relativistic γ factor of 10^10? Write as (1-ε)c b) A proton with γ=10^10 is chased by a photon across a galaxy. Observer A at one end of the galaxy (xA=0) sees the proton at t1=0 and the photon at t2 = 1.33 x 10^-8 s. According to...

A quick question..a traveller will observe length of his journey contracted if he is traveling in a straight line..thus when light travels, doesn't the distance it travels get contracted?..and since light itself travels at c, ideally the contraction factor should be zero, so light should reach...

Homework Statement I am supposed to derive this equation: tan(phi) = γtan(θ) by performing an integration to find the flux of E through each of 2 spherical caps; the flux through each of these caps should be equal. The first cap spans the angle θ; the element of surface area may be taken as...

Hi all, It doesn't seem that a relativistic ship traveling in deep space would need much shielding due to particles at rest in the space frame, appearing relativisitc now in the ship's frame. Here's the calculation I did: Let's imagine a ship the size of a space shuttle traveling with γ of...

I'm having some difficulty in working with units of mass at the quantum level. This difficulty most clearly manifests itself when I'm doing a Compton scattering problem. Recall that Compton scattering is given by \Delta \lambda =\frac{h}{m_{e}c}(1-cos(\theta )) and that the rest mass of an...

Homework Statement The mass of a proton when at rest is m. According to an observer using the detector frame, the speed of the anticlockwise moving bunch, A, is such that va^2/c^2=24/25 Show that the total relativistic energy of a proton in bunch A, as observed in the detector frame, is...

So my physics teacher has been trying to explain magnetic forces in terms of electric forces and relativity but I'm still confused. If there is a wire carrying a current and I'm an electron traveling next to the wire at the same speed the electrons in the wire are traveling, the electrons in...

Two individuals A and B are traveling through space at a velocity in the "x" direction at and are next to each other so they can synchronize their clocks. Since there is no other available reference they believe they are not moving. Both have a duplicate shape charge which as they are in the...

Homework Statement Combine the Darwin correction with the relativistic kinetic energy correction for l=0 to show that the fine structure formula: \DeltaE_{fs}= - \frac{(E^{(0)2}_{n})}{2mc^{2}}[\frac{4n}{j + 1/2}-3] remains valid for l=0 Homework Equations From a previous problem...

A mathematical statement of energy conservation can be given using the continuity equation in terms of the total energy \frac{\partial}{\partial t}\iiint_V\epsilon dV+\iint_S \epsilon \mathbf{V\cdot dS}=0 where t is time, V is a velocity vector, V is the volume of the system, dS is a point...

Say you have an observer that is not on planet Earth. He then tries to measure the momentum of an object traveling on the Earth itself. He notices that when the object travels in one direction it has an added velocity of the Earths rotation, then in the other direction the object loses...

I WOULD BE VERY THANKFUL IF ANYONE COULD PLEASE ME WITH THIS PROBLEM! :) Particle 1 with mass m1 encouters elastic collision with particle 2 which has mass m2 Assume that particle 2 is stationary before collision. And movement-direction of particle 1 after collision, is perpendicular to the...

Hi, a while back i had ran into the equation for dynamic mass [M = m/√(1-(v^2/c^2))] and had immedietly taken an interest in it in that it seems to imply that for an object with mass moving at the speed of light its mass would become, virtually, infinite. Is this an erroneous assumption? If not...

Let us say we have a very long glass that has a uniform square cross section. Its long axis is aligned with the x axis. A beam of light is directed along the y-axis such that it is normal to the side of the glass rod's side surface. When the rod is stationary wrt to the observer we would expect...

Homework Statement A.P. French 6.8 A thrust-beam space vehicle works bearing a sort of sail which feels the push of a strong steady laser light beam directed at it from Earth. If the sail is perfectly reflected, calculate the mass of light required to accelerate a vehicle of rest mass m_0 up to...

Homework Statement I'm dealing with a dirac particle in an attractive spherical square well. I've solved for the transcendental equation to find energy, found the normalized wave function, and now I'm trying to explain what happens when the well becomes very deep, when V0 ≥ 2mc2. If I plug...

Homework Statement I'm trying to verify equations 16 and 17 on the attached paper, but I'm just not getting the same values they are. I've used mathematica and it just isn't happening. For one thing, there should be a factor of 1/2 in front of equation 16, but I'm really not seeing how they...

Homework Statement Part a - A set of particles are traveling at a constant speed close to the speed of light, past a detector. From the detector's point of view, it takes a set period of time (t seconds) for the entire set of particles to pass by a set point on the detector. Write an...

Hypothetically, if you had an object on top of a disc on Earth that was rotating clockwise incredibly quickly such that the object had a tangential velocity of almost c, and this disc sat on another disc rotating anticlockwise with the same angular velocity, would the object feel the effects of...

Homework Statement A rigid rod has rest length L0 and moves relative to a system S' for which it's coordinates is x'=0, y' = b-ut', z' = 0. In this reference frame the rod is at all times parallel with the x'-axis. a) A point (A) on the rod is measured to be a distance= a, away from x' = 0...

classically, an electron accelerating from rest in a uniform electric field will have a kinetic energy proportional to the distance 'd' from its point of origin. will this continue to hold even when the electron is moving at relativistic velocity? I understand that the formula for...

The work-energy theorem is stated here on Wikipedia. On the same page it says "regardless of the choice of reference frame, the work energy theorem remains valid and the work done on the object is equal to the change in kinetic energy." I am wondering if there is a relativistic version of...

I am wondering how to determine relativistic velocity from a given amount of work done on a body starting from rest with a given rest mass. This is not homework. Thanks in advance, Jake

When I ask for differences I am not meaning mathematical ones since that it is obvious: We have a phenomenon p, p can be described by Galilean Relativity (GR) and by Einsten Relativity (ER). ER(p)!=GR(p) The math expression that describes this phenomenon is different. Then the doppler...

I'd like to get back into theoretical physics as a retiree. I last worked on the relativistic 2-body problem over 25 years ago. I've been reading Trump and Schieve's text on classical relativistic dynamics and I'm wondering has the classical 2-body relativistic problem been solved. I realize...

I know that magnetic force due to a current carrying wire on a test charge moving w.r.t the wire(along the wire), can be interpreted as the electrostatic force if we use the first order relativistic corrections for Time Dilation or Length contraction of the charges of the wire, in the frame of...

Let's say, I wanted to find the kinetic energy of a ball traveling at 99% the speed of light, what is the equation used for that calculation? And also, do photons have kinetic energy? Thanks.

Homework Statement I a little lost on how to use the relativistic velocity addition formula to determine the increase in speed "v" over a short time interval in the Earths frame of reference, for a rocket having left Earth at rest and traveling through space accelerating at constant acc. of...

Homework Statement An electron is accelerated through a potential of 10^9 Volts. What is the Energy, Kinetic Energy, and Momentum in the lab reference frame? Homework Equations (1/2)mv^2=eV=1.6E-10 J=1000 MeV The Attempt at a Solution Solving for the kinetic energy gives 1000...

Couldnt find anything from 15min of forum searching... If 2 objects are traveling along say, an x and y axis(or just 90 degrees apart really) at close to c, how do they interpret each others speeds? 0<theta<90 are easy enough. Couldnt find anything about perpendicular though. A Newtonian...

Homework Statement Mass of particle = 5GeV/C^2 Momentum of particle = 5GeV/c Find total energy of particle and speed of particle. Homework Equations E=λmc^2 p=λmu λ=(√(1-(u/c)^2))^-1 The Attempt at a Solution When I try so solve for speed, I realize λ is a function of u, so...

Homework Statement A ship is traveling at a speed of .8c. When the ship is 90 degrees from the target, it shoots a laser downwards. What angle must it shoot the laser to hit the target? Homework Equations \mu_{x}=0 \mu_{y}=-c \mu_{x}'=\frac{mu_{x}-v}{1-\frac{v*mu_{x}}{c^{2}}}=-v...

Homework Statement A relativistic spaceship is moving "horizontally" past Earth at 99% speed of light (c), and the water in the ship's swimming pool rises at 5 m/s. What is the tilt of the water surface with respect to the horizontal, AS OBSERVED FROM EARTH?Homework Equations The Attempt at a...

Continuum approximation of fluid mechanics (& relativistic fluids) I have a few 'foundational' questions on fluid mechanics which I haven't been able to find quick answers to, any help would be appreciated. At the start of any course on fluids, one is told of the continuum hypothesis...

Does relativistic aberration apply to electric fields and magnetic fields? If a spaceship accelerated to a relativistic speed with respect to an initial inertial frame, in a constant direction with respect to a uniform electric field, do the effects of aberration affect the magnitude of electric...

If I have a spread of electrical charges contained inside a Gaussian surface, and if I cause those electrical charges to move at relativistic speeds, the electric fields of those charges should be subject to relativistic contraction. What happens then to electric flux that cuts through that...

Homework Statement A body has rest mass of 10^5 Kg. Find how much work must be done on the body to give it a velocity such that the clocks on the body run at 1/10 of the rate of the lab clocks. compare the work energy with the rest energy of the body Homework Equations γ=1/√(1-(v/c)2)...

PREAMBLE: I'm not asking you to do this for me, just point me to some CLEAR references. THE PROBLEM: I am trying to understand the differences between Action-at-a-distance (AAAD) and Field theory. I am trying to better understand relativistic dynamics and the relativistic 2-body problem...

I'm getting myself confused here. If my relativistic Lagrangian for a particle in a central potentai is L = \frac{-m_0 c^2}{\gamma} - V(r) should \frac{d L}{d \dot{\theta}} not give me the angular momentum (which is conserved)? Instead I get \frac{d L}{d \dot{\theta}} = -4 m...

By "spin" we sometimes refer to spin angular momentum, sometimes we refer to a specific representation of Lorentz group, in the following I'll refer to the former, otherwise I'll write "spinor representation" Say an spin up(z direction) electron at rest, state vector |m,+\rangle being an...

Homework Statement Mr. Krane describes this scenario in a presentation of relativistic mass in his book Modern Physics John Wiley & Sons, Inc. 1983 p. 36-37 According to one observer, two balls of equal mass, m1 and m2, are approaching each other at equal speed, v. The proper mass of...

By SR, relativistic energy and mass are proportional to the Lorentz factor γ, therefore, grow to infinity for v\rightarrowc. This relationship for the relativistic mass has been confirmed by the Kaufmann experiment and its successors, via measuring the deflection of high velocity electrons by an...