Modern Physics For Scientists And Engineers
Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 1, Problem 1.37P
To determine

To Derive:

The derivation of Lorentz transformation for t' by using the Lorentz equation for x and x'.

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Problem 2.27: Determine the velocity for which the discrepancy between the classical expression for the kinetic energy and the true expression from relativity differ by 0.01%; in other words, determine the maximum velocity for which we can use the classical expression for the kinetic energy and trust our results to within 0.01% accuracy.
Evaluate the rest energy (in MeV) for the proton (m,= 1.673 x 10-27 kg) and the deuteron (ma= 3.344 × 102" kg). Next, assume y = 2 for either particle. What is the particle velocity (m/sec)? What are the "kinetic energies" (the total energy minus the rest energy) for both particles in MeV. Repeat for y = 10.
The reference frame S' moves relative to S with velocity u along the axis. Let va and v. denote the a component of the velocity vector of a particle in S and S', respectively, with a = x, y, z. Drive the expression of vy in terms of u, c, vr, vy. Hint: Start from the Lorentz coordinate transformation.
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY