pron 1. 26: A group of \"pi\" mesons (pions) is observed traveling at speed0.8c

Question

pron 1. 26: A group of "pi" mesons (pions) is observed traveling at speed0.8c in a particle-physics laboratory.
(a) what is the factor "gamma" for the pions??
(B) If the pions' proper half-life is 1.8 x 10^-8 s, what is theirhalf -life as observed in the lab frame????
(c) if their were initially 32,000 pions, how many will beleft after they have traveled 36 m???
(d) What would be the the answer to (c) if one ignored timedilation???
   consider theexperiment of problem 1.26 from the point of view of the pions`rest frame. In part (c) how far (as “seen” by thepions) does the laboratary move, and how long does this take? Howmany pions remain at the end of this time? A group of "pi" mesons (pions) is observed traveling at speed0.8c in a particle-physics laboratory.
(a) what is the factor "gamma" for the pions??
(B) If the pions' proper half-life is 1.8 x 10^-8 s, what is theirhalf -life as observed in the lab frame????
(c) if their were initially 32,000 pions, how many will beleft after they have traveled 36 m???
(d) What would be the the answer to (c) if one ignored timedilation???
   consider theexperiment of problem 1.26 from the point of view of the pions`rest frame. In part (c) how far (as “seen” by thepions) does the laboratary move, and how long does this take? Howmany pions remain at the end of this time?

Explanation / Answer

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