A3] The muon is a subatomic particle with a rest mass of 106 MeV/c2. At rest the average muon lifetime is 2.2 us. A beam of muons is produced in a laboratory in which the muons move at 0.8 c with respect to the laboratory. a) Specify whether the muon lifetime in the laboratory frame is longer or shorter than the lifetime for muons at rest. b) What is the average lifetime observed in the laboratory for muons in the beam? c) What is the total energy of each of the muons in the muon rest frame? d) What is the total energy of each of the muons in the laboratory frame? e) What is the kinetic energy of each of the muons in the laboratory frame? f) In the muon rest frame what is the distance between the point at which the muons are produced and the average decay point.

A3] The muon is a subatomic particle with a rest mass of 106 MeV/c2. At rest the average muon lifetime is 2.2 us. A beam of muons is produced in a laboratory in which the muons move at 0.8 c with respect to the laboratory. a) Specify whether the muon lifetime in the laboratory frame is longer or shorter than the lifetime for muons at rest. b) What is the average lifetime observed in the laboratory for muons in the beam? c) What is the total energy of each of the muons in the muon rest frame? d) What is the total energy of each of the muons in the laboratory frame? e) What is the kinetic energy of each of the muons in the laboratory frame? f) In the muon rest frame what is the distance between the point at which the muons are produced and the average decay point.