Problem 4: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v=0.74c. The moon then travels at constant speed and lives 1.6 us as measured in the moon's frame of reference. (You can imagine this as the muon's internal clock.) Randomized Variables v=0,74 c r = 1.6 µus Lo Part (a) How many kilometers does the muon travel according to an Earth-bound observer?

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Problem 4: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v=0.74c. The moon then travels
at constant speed and lives 1.6 us as measured in the moon's frame of reference. (You can imagine this as the muon's internal clock.)
Randomized Variables
v=0,74 c
r = 1.6 µμs
Lo
Part (a) How many kilometers does the muon travel according to an Earth-bound observer?
Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the
Earth and its lifetime (proper time).
Transcribed Image Text:Problem 4: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v=0.74c. The moon then travels at constant speed and lives 1.6 us as measured in the moon's frame of reference. (You can imagine this as the muon's internal clock.) Randomized Variables v=0,74 c r = 1.6 µμs Lo Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).
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