   Chapter 28, Problem 15PE

Chapter
Section
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, Δt0=1.52μs.

Formula used:

The relativistic time is given by the formula,

Δt=Δt01 v 2 c 2

Calculation:

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

Δt=1.52μs 1 ( 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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