Suppose a cosmic ray colliding with a nucleus in Earth's upper atmosphere produces a muon that has a velocity v = 0.99c. The muon then travels at constant velocity and lives 2.2 µs as measured in the muon's frame of reference. Hint a. How long does the muon live in Earth's frame of reference? Muon lives for 15.6 b. How far does the muon travel according to the earthbound observer? Muon travels 4633.2 o us. x km according to the earthbound observer. c. How far does the muon travel relative to Earth according to the muon's perspective? Muon travels 653.60 x km relative to Earth according to the muon's perspective. d. How does the muon reach Earth's surface according to its perspective? O Muon is not able to reach Earth's surface according to its perspective, because it would not live long enough to travel the distance needed. O Muon is able to reach Earth's surface because it lives longer than 2.2 µs according to its perspective. Muon is able to reach Earth's surface because distance between Earth's surface and upper atmosphere is shorter by a factor of 7.09.
Suppose a cosmic ray colliding with a nucleus in Earth's upper atmosphere produces a muon that has a velocity v = 0.99c. The muon then travels at constant velocity and lives 2.2 µs as measured in the muon's frame of reference. Hint a. How long does the muon live in Earth's frame of reference? Muon lives for 15.6 b. How far does the muon travel according to the earthbound observer? Muon travels 4633.2 o us. x km according to the earthbound observer. c. How far does the muon travel relative to Earth according to the muon's perspective? Muon travels 653.60 x km relative to Earth according to the muon's perspective. d. How does the muon reach Earth's surface according to its perspective? O Muon is not able to reach Earth's surface according to its perspective, because it would not live long enough to travel the distance needed. O Muon is able to reach Earth's surface because it lives longer than 2.2 µs according to its perspective. Muon is able to reach Earth's surface because distance between Earth's surface and upper atmosphere is shorter by a factor of 7.09.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Relativity
Section: Chapter Questions
Problem 63P: Owen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a...
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Only b,c I need
Suppose a cosmic ray colliding with a nucleus in Earth's upper atmosphere produces a muon that has a velocity v=0.99cv=0.99c. The muon then travels at constant velocity and lives 2.2 μs as measured in the muon's frame of reference.
Hint
- How long does the muon live in Earth's frame of reference?
Muon lives for Correct μs. - How far does the muon travel according to the earthbound observer?
Muon travels Incorrect km according to the earthbound observer. - How far does the muon travel relative to Earth according to the muon's perspective?
Muon travels Incorrect km relative to Earth according to the muon's perspective. - How does the muon reach Earth's surface according to its perspective?
- Muon is not able to reach Earth's surface according to its perspective, because it would not live long enough to travel the distance needed.
- Muon is able to reach Earth's surface because it lives longer than 2.2 μs according to its perspective.
- Muon is able to reach Earth's surface because distance between Earth's surface and upper atmosphere is shorter by a factor of 7.09.
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