High-energy subatomic particles coming from space interact withatoms in the earth’s upper atmosphere, in some cases producing unstableparticles called muons. A muon decays into other particles witha mean lifetime of 2.20 ms = 2.20 * 10^-6 s as measured in a referenceframe in which it is at rest. If a muon is moving at 0.990c relative to theearth, what will an observer on earth measure its mean lifetime to be?

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High-energy subatomic particles coming from space interact with
atoms in the earth’s upper atmosphere, in some cases producing unstable
particles called muons. A muon decays into other particles with
a mean lifetime of 2.20 ms = 2.20 * 10^-6 s as measured in a reference
frame in which it is at rest. If a muon is moving at 0.990c relative to the
earth, what will an observer on earth measure its mean lifetime to be?

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