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A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.960c for a distance of 3.90 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? 7.60 × Your response differs from the correct answer by more than 10%. Double check your calculations. s (b) Compute the gamma factor associated with the muon. 2.20 ☑ Your response differs from the correct answer by more than 100%. (c) How much time passes according to an observer traveling with the muon? 1.37e-5 ×

A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.960c for a distance of 3.90 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? 7.60 × Your response differs from the correct answer by more than 10%. Double check your calculations. s (b) Compute the gamma factor associated with the muon. 2.20 ☑ Your response differs from the correct answer by more than 100%. (c) How much time passes according to an observer traveling with the muon? 1.37e-5 ×

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A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.960c for a distance of 3.90 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? 7.60 × Your response differs from the correct answer by more than 10%. Double check your calculations. s (b) Compute the gamma factor associated with the muon. 2.20 Your response differs from the correct answer by more than 100%. (c) How much time passes according to an observer traveling with the muon? 1.37e-5 Your response differs from the correct answer by more than 100%. s (d) What distance does the muon travel according to an observer traveling with the muon? 244 ☑ Your response differs from the correct answer by more than 10%. Double check your calculations. m (e) A third observer traveling toward the muon at c/2 measures the lifetime of the particle. According to the observer, is the muon's lifetime shorter or longer than the lifetime measured by the observer at rest with respect to Earth? Explain.
Transcribed Image Text:A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.960c for a distance of 3.90 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? 7.60 × Your response differs from the correct answer by more than 10%. Double check your calculations. s (b) Compute the gamma factor associated with the muon. 2.20 Your response differs from the correct answer by more than 100%. (c) How much time passes according to an observer traveling with the muon? 1.37e-5 Your response differs from the correct answer by more than 100%. s (d) What distance does the muon travel according to an observer traveling with the muon? 244 ☑ Your response differs from the correct answer by more than 10%. Double check your calculations. m (e) A third observer traveling toward the muon at c/2 measures the lifetime of the particle. According to the observer, is the muon's lifetime shorter or longer than the lifetime measured by the observer at rest with respect to Earth? Explain.
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