Chapter 28, Problem 14PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
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:

â€ƒâ€ƒÎ”tâ‰ˆ4.87Ã—10âˆ’6Â s

â€ƒâ€ƒvâ‰ˆ0.950c

â€ƒâ€ƒcâ‰ˆ3Ã—108Â msâˆ’1

Formula used:

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

â€ƒâ€ƒL0â‰ˆvÎ”t

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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