Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 29P
To determine

The travelled distance.

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At time t=0s, there are No unstable pions. What fraction of pions decay after travelling a distance of 25 m? Assume the pions travelling at 0.86c and their average lifetime is 20.0 ns. Select the correct answer choice: (a) 85.9% (b) 91.6% (c) 99.2% (d) 89.2%
(a) If a KS0 meson at rest decays in 7.80 ✕ 10−11 s, how far (in cm) does a KS0 meson travel if it is moving at 0.900c?  cm (b) What If? At what speed will the KS0 meson travel twice the distance found in part (a) before decaying? (Give your answer in terms of c.)  c
The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6 x10-8 s.   If the meson moves with a speed of 0.93c, what is its mean lifetime (s) as measured by an observer on Earth? What is the average distance (m) it travels before decaying, as measured by an observer on Earth? What distance (m) would it travel if time dilation did not occur?

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Principles of Physics: A Calculus-Based Text

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Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY