A cosmic ray traveling at (0.400 c_{0}) relative to Earth passes observer A (event 1) and then

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A cosmic ray traveling at \(0.400 c_{0}\) relative to Earth passes observer A (event 1) and then a short time interval later passes observer B (event 2). The observers are at rest, \(8.00 \mathrm{~km}\) apart in the Earth reference frame. What are

(a) the proper length and

(b) the proper time interval between these events?

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