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5.4 Exercise 7

Avg difficulty 2.5

(a) How far does the muon in the reference travel according to the earthbound 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 = 3.20 .

OpenStax University Physics Volume 3, 5.4 Length Contraction, exercise 7

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Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.