A certain muon detector counts 600 muons per hour at an altitude of (1900 mathrm{~m}) and 380

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A certain muon detector counts 600 muons per hour at an altitude of \(1900 \mathrm{~m}\) and 380 muons per hour at sea level. Given that the muon half-life at rest is \(1.5 \times 10^{-6} \mathrm{~s}\), determine the speed of the muons relative to Earth, assuming they all have the same speed.

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