Chapter 20: Problem 28
A particle has a momentum equal to \(m c .\) Calculate its speed.
Chapter 20: Problem 28
A particle has a momentum equal to \(m c .\) Calculate its speed.
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Get started for freeSuppose that observer \(S\) fires a light beam in the \(y\) direction \(\left(v_{x}=0, v_{y}=c\right) .\) Observer \(S^{\prime}\) is moving at speed \(u\) in the \(x\) direction. \((a)\) Find the components \(v_{x}^{\prime}\) and \(v_{y}^{\prime}\) of the velocity of the light beam according to \(S^{\prime}\), and \((b)\) show that \(S^{\prime}\) measures a speed of \(c\) for the light beam.
Derive Eqs. \(20-17\) for the inverse Lorentz transformation by algebraically inverting the equations for the Lorentz transformation, Eqs. \(20-14\).
Galaxy A is reported to be receding from us with a speed of \(0.347 c\). Galaxy B, located in precisely the opposite direction, is also found to be receding from us at this same speed. What recessional speed would an observer on galaxy A find \((a)\) for our galaxy and \((b)\) for galaxy \(\mathrm{B}\) ?
Find the momentum of a particle of mass \(m\) in order that its total energy be three times its rest energy.
An electron is moving at a speed such that it could circumnavigate the Earth at the equator in \(1 \mathrm{~s}\). (a) What is its speed, in terms of the speed of light? (b) What is its kinetic energy \(K ?(c)\) What percent error do you make if you use the classical formula to calculate \(K\) ?
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