Calculate the average distance muons travel at this speed

Reference no: EM13552637

Muons are created in the atmosphere by collisions of cosmic rays (mostly high energy protons) with air molecules. Muons have a rest energy of 105.7 MeV and a half life in the laboratory frame of 1.4μs. This lifetime can be increased indefinitely by time dilation.

a) Calculate the half-life of muons travelling at a speed such that the kinetic energy is ten times the rest energy.
b) calculate the speed as a fraction of c (c = 2.998*10⁸).
c) calculate the average distance the muons travel at this speed.

Reference no: EM13552637

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