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28.3 Exercise 7

Avg difficulty 2.5

(a) How far does the muon in the reference travel according to the Earth-bound observer? (b) How far does it travel as viewed by an observer moving with it? Base your calculation on its velocity relative to the Earth and the time it lives (proper time). (c) Verify that these two distances are related through length contraction γ=3.20\gamma= 3 . \text{20}.

OpenStax College Physics 2e, 28.3 Length Contraction, exercise 7

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Adapted from College Physics © 2022 Rice University. Licensed under CC BY 4.0. Sources: College Physics 2e, College Physics for AP® Courses 2e. Imported at revision f98d7a7.