Relativistic energy Definition and 61 Threads

problems statement: 1. a nucleus of mass m initially at rest absorbs a gamma ray (photon) and is excited to a higher energy state such that its mass now is 1.01m, find the energy of the incoming photon needed to carry out this excitation. 2. A moving radioactive nucleus of known mass M emits...

Homework Statement Find the speed of a particle whose total energy is 3 times its rest energy.Homework Equations KE = \gamma mc^2 - mc^2The Attempt at a Solution i let total energy = 3mc^2 and then : \gamma mc^2 = KE + mc^2 3mc^2 = KE + mc^2 v = \frac{\sqrt{3}}{2} c Is this correct? or...

How would you go about finding the energy for "the particle in a box" when the particle is relativistic? Since the energy is no longer p^2/2m, then the general quantization won't apply. I know that the two principles that still apply even when a particle is relativistic are: \lambda =...

Hey I have a problem concerning relativistic energy One neutrino has an energy of 10 MeV and a rest mass of 10 eV/c^2. Another neutrino has an energy of 30 MeV and a rest mass of 10 eV/c^2. Calculate the difference in time that the two particles arrive at Earth if they are emitted from a...

A particle of initial kinetic energy T0 and rest energy E0 strikes a like particle at rest. The initial particle is scattered at an agle theta to its original direction. Show that the final kinetic energy T is T = T0cos2(theta)/(1+ (T0sin2(theta)/2E0)) what I have so far: We know that...

how do we measure the relativistic energy of a tardyon?

a little rough on this simplification, is this correct? solving for "u" E = mc^2 / (root)(1-u^2/c^2) (root)(1-u^2/c^2) = mc^2/E 1 - u^2/c^2 = (mc^2/E)^2 1 = (mc^2/E)^2 + u^2/c^2 c^2 = (mc^2/E)^2 (c^2) + u^2 -> (sq root everything) u = c - mc^3/E pretty bad i don't...

all speed are relative to the observer, but if we have 2 planets with inteligent beings and for one of them all the objects in the universe seem to move just a bit slower than the other planet, wouldn't it then be less matter and energy in thge universe for those biengs? and with finite amount...

can anyone explain to me wha relativistic is?

A pion at rest (m_pi = 273m_e) decays to a muon (mass = 207m_e and an antineutrino (mass = 0). Find the kinetic energy of the muon and the energy of the antineutrino in electron volts. How am I supposed to start this problem? ANy help would be great...thx!

I am now currently using an introductory modern physics textbook but they did not give me the derivation for relativistic KE for a moving object which is \gamma mc^2 . Is the derivation too difficult to be put in the introductory text?? Anyway, what is its derivation? Thanks alot.