Calculating At for a Relativistic Event: How Long Does a Speedy Muon Live? Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has a velocity v = 0.950c. The muon then travels at constant velocity and lives 1.52 us as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) How long does the muon live as measured by an Earth-bound observer? (See Figure 28.7.) At, At Figure 28.7 A muon in the Earth's atmosphere lives longer as measured by an Earth-bound observer than measured by the muon's internal clock.
Calculating At for a Relativistic Event: How Long Does a Speedy Muon Live? Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has a velocity v = 0.950c. The muon then travels at constant velocity and lives 1.52 us as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) How long does the muon live as measured by an Earth-bound observer? (See Figure 28.7.) At, At Figure 28.7 A muon in the Earth's atmosphere lives longer as measured by an Earth-bound observer than measured by the muon's internal clock.
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How long would the muon in attached Example have lived as observed on the Earth if its velocity was 0.0500c ?
Transcribed Image Text:Calculating At for a Relativistic Event: How Long Does a Speedy Muon Live?
Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has a velocity v = 0.950c.
The muon then travels at constant velocity and lives 1.52 us as measured in the muon's frame of reference. (You can imagine
this as the muon's internal clock.) How long does the muon live as measured by an Earth-bound observer? (See Figure 28.7.)
At,
At
Figure 28.7 A muon in the Earth's atmosphere lives longer as measured by an Earth-bound observer than measured by the muon's internal
clock.
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