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 2, Problem 2.4P
To determine

(a)

To Verify:

The classical velocity-addition for velocities measured in frame S' .

To determine

(b)

To Verify:

The relativistic velocities reduce to classical velocities if all speeds are much less than c.

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Students have asked these similar questions
(a) Prepare a graph of the relativistic kinetic energy and the classical kinetic energy, both as a function of speed, for an object with a mass of your choice. (b) At what speed does the classical kinetic energy underestimate the experimental value by 1%? (c) By 5%? (d) By 50%?
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.
It is claimed that two cesium clocks, if allowed to run for 100 years, free from any disturbance, may differ by only about 0.02 s. What does this imply for the accuracy of the standard cesium clock in measuring a time-interval of 1 s ?
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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