A muon formed high in the Earth’s atmosphere is measured by an observer on the Earth’s surface to travel at speed υ = 0.990c for a distance of 4.60 km before it decays into an electron, a neutrino, and an antineutrino (μ- → e- + v+ v). (a) For what time interval does the muon live as measured in its reference frame? (b) How far does the Earth travel as measured in the frame of the muon?

Physics for Scientists and Engineers: Foundations and Connections
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Chapter39: Relativity
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Problem 71PQ: Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe...
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A muon formed high in the Earth’s atmosphere is measured by an observer on the Earth’s surface to travel at speed υ = 0.990c for a distance of 4.60 km before it decays into an electron, a neutrino, and an antineutrino (μ-e- + v+ v). (a) For what time interval does the muon live as measured in its reference frame? (b) How far does the Earth travel as measured in the frame of the muon?

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