   Chapter 28, Problem 14PE

Chapter
Section
Textbook Problem

(a) How far does the muon in Example 28.1 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) Verity that these two distances are related through length contraction γ = 3.20 .

To determine

(a)

The distance muon in Example 28.1 travel according to the Earth-bound observer.

Explanation

Given info:

Δt4.87×106 s

v0.950c

c3×108 ms1

Formula used:

For distance travelled by the earth bound observer calculation, the relation between time and velocity is

L0vΔt

Calcula

To determine

(b)

The distance 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).

To determine

(c)

These two distances are related through length contractionγ=3.20.

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