How Far Does a Laboratory Travel from a Muon's Perspective?

[Winzer]

Homework Statement

The muon is an elementary particle that decays with a mean (rest) lifetime of 2.20E-6 s. A beam of muons has a speed of 0.600c. In the reference frame of the muon, how far does the laboratory travel in one mean lifetime?

Homework Equations

$$L=\frac{L_o}{\gamma}$$

The Attempt at a Solution

a. The muon has to travel (2.20E-6 s)(.60c)=396m seen from the muon
so isn't it $$L=\frac{L_o}{\gamma}$$ where $$\gamma=1.25$$
that would equall 316.8 m to the muon
b. 396 m

 

[Winzer]

anything?

 

[Winzer]

Or maybe it is the muon that sees the lab travel 396m?

 

[Winzer]

 

[Winzer]

Don't be shy now