Chapter 28, Problem 15PE

### 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 long would the muon in Example 28.1 have lived as observed on the Earth if its velocity was 0.0500c ? (b) How far would it have traveled as observed on the Earth? (c) What distance is this in the muon's frame?

To determine

(a)

The time for which the muon of velocity 0.050c would have lived as observed on the Earth.

Explanation

Given info:

The velocity of the muon is, v=0.050c.

The time for which muon lived in muon's frame is, Î”t0=1.52â€‰Î¼s.

Formula used:

The relativistic time is given by the formula,

â€ƒâ€ƒÎ”t=Î”t01âˆ’ v 2 c 2

Calculation:

By substituting the given values in the above expression, we get

â€ƒâ€ƒÎ”t=1.52â€‰Î¼s 1âˆ’ ( 0

To determine

(b)

The distance traveled by muon of velocity 0.050c as observed on the Earth.

To determine

(c)

The distance traveled by muon in muon frame.

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