Question

Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v= 0.83c. The muon then travels at constant speed and lives 1.5 us as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) Randomized Variables v=0.83c t=1.5 us (a) How long does the muon live in seconds) as observed on the Earth? b) How many meters does it travel as observed on the Earth? c) How many meters is this in the muon's frame?

Answer 1

Answer:

- Given mion v=0.83c Speed of Lifetime of the muon on its own fame 8 Preference st = 1.5 jes earth Life time of the muon while obsewering from sto is given by ats Jirged At's lifetrine of muon At = 1.5us Ce Specd vaccin SI- 08305 C2 x 108m = 2.6946 The distance it would travel as observed on earth woreld be, d'= v.at (0.83) (3x 108 m/s) (2.69 M 6.69 x (o distance that muon woreld travel as meastered frame of reference is given by v. Sto. 0.83 ( 3x10 m/s)(-5 pes) in it's own las 3.73 x 108m a) at 20694 b) d' = 6.69 x 108m do = 3.73 x 10 m

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