An unstable particle called the pion has a mean lifetime of 25ns in its own rest frame. A beam of of pions travels through the lab with a speed of 0.60c.
a) what is the mean lifetime of the pions as measured in the lab frame?
b) how far does a pion travel ( as measured by lab observers) during this time?
I was able to find part a but not sure about part b. the answer our professor porvided was 5.6m
what exactly is c? is it unit less?
The Attempt at a Solution
I found a using
t= 1/γ x t inital
for finding how far the pion traveled i was using
d=v t with 0.60 for v and 31ns for t.
however the units are not correct and my answer is not very clse to the given answer.
Thanks in advance :)
this gave me an answer of 31 ns.