PhysicsClassical Physics

Time Dilation: Earth-Frame Lifetime of a Muon Moving at 0.950c

Identify the muon proper time and use the Lorentz factor to calculate the lifetime measured by an Earth observer.

Question

A cosmic-ray collision with a nucleus high in Earth’s atmosphere creates a muon. Its velocity relative to Earth is 0.950c and remains constant. The interval from creation to decay in the muon’s rest frame is 2.20 μs. What interval between those events does an observer at rest on Earth measure?

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Evidence boundary

The problem stipulates constant relative velocity and a 2.20 μs rest-frame interval for the specified creation-to-decay events. This is a special-relativistic time-interval calculation; it does not predict an identical lifetime for every individual muon or report a new experimental measurement.