A muon is created 70 km above the surface of the earth. In the earth's frame, the muon is traveling directly downward at 0.9999c. A. In the earth's frame of reference, how much time elapses between the muon's creation and the time it reaches the surface? B. Use time dilation to determine, in the muon's frame, how much time elapses between the muon's creation and the time it reaches the surface. C. In the muon's frame of reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
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Chapter38: Relativity
Section: Chapter Questions
Problem 4P: A muon formed high in the Earths atmosphere is measured by an observer on the Earths surface to...
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A muon is created 70 km above the surface of the earth. In the earth's frame, the muon is traveling directly downward at 0.9999c.

A. In the earth's frame of reference, how much time elapses between the muon's creation and the time it reaches the surface?

B. Use time dilation to determine, in the muon's frame, how much time elapses between the muon's creation and the time it reaches the surface.

C. In the muon's frame of reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?

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