Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.89c. The muon then travels at a constant speed and lives 1.375 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) Part (a) How long does the muon live (in seconds) as observed on the Earth? Part (b) How many meters does it travel as observed on the Earth? Part (c) How many meters is this in the muon’s frame?

Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.89c. The muon then travels at a constant speed and lives 1.375 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) Part (a) How long does the muon live (in seconds) as observed on the Earth? Part (b) How many meters does it travel as observed on the Earth? Part (c) How many meters is this in the muon’s frame?