6. The muon particle was a bit of a strange case until relativity came along. The muon forms 1.0 × 104m above the surface of the Earth and speeds downwards at 0.998c. From the particle’s perspective, it has a lifetime of 2.2 × 10−6 s.
a) Use classical physics to determine how far the muon should be able to travel in its lifetime.
b) This travel distance was puzzling since the muon was observed in great numbers at Earth’s surface. Use relativity to show how the muon could reach the Earth’s surface in its lifetime.
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