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Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 39, Problem 46P
(a)
To determine
The relativistic factor for a
14 TeV
proton in LHC.
(b)
To determine
The proton’s speed.
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Students have asked these similar questions
3.4. Cosmic ray muons are produced high in the atmosphere (at 8000 m, say) and travel
toward the earth at very nearly the speed of light (0.998 c, say).
(a) Given the lifetime of the muon (2.2 x 10-6 sec), how far would it go before
disintegrating, according to prerelativistic physics? Would the muons make it
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(b) Now answer the same question using relativistic physics. (Because of time di-
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frame it only lasts 2.2 x 10-6 sec; how, then, does it make it to ground?)
+
(d) Pions are also produced in the upper atmosphere. [In fact, the sequence is
proton (from outer space) hits proton (in atmosphere) → p + p + pions. The
pions then decay into muons: ¯ → μ¯ + D µ; πt → μ† + vµ.] But the lifetime
of the pion is much shorter, a hundredth that of the muon. Should the pions
reach ground level? (Assume that the pions also have a speed of…
(a) Calculate Ƴ for a proton that has a momentum of 1.00 kg.m/s. (b) What is its speed? Such protons form a rare component of cosmic radiation with uncertain origins.
In special relativity, we introduced the momentum of a particle in a given Lorentz frame as p" =
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in general relativity, the energy of a particle measured by an observer is given, irrespective of the
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Chapter 39 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 39 - Prob. 1FTDCh. 39 - Prob. 2FTDCh. 39 - Prob. 3FTDCh. 39 - Prob. 4FTDCh. 39 - Prob. 5FTDCh. 39 - Prob. 6FTDCh. 39 - Prob. 7FTDCh. 39 - Prob. 8FTDCh. 39 - Name the fundamental force involved in (a) binding...Ch. 39 - Prob. 10FTD
Ch. 39 - Prob. 11FTDCh. 39 - Prob. 12FTDCh. 39 - Prob. 13FTDCh. 39 - Prob. 14FTDCh. 39 - Describe the origin of the cosmic microwave...Ch. 39 - Prob. 16FTDCh. 39 - Prob. 17FTDCh. 39 - The radiation that we observe as the cosmic...Ch. 39 - Prob. 19FTDCh. 39 - Prob. 20FTDCh. 39 - Prob. 21ECh. 39 - Prob. 22ECh. 39 - Prob. 23ECh. 39 - Prob. 24ECh. 39 - Prob. 25ECh. 39 - Prob. 26ECh. 39 - Prob. 27ECh. 39 - Prob. 28ECh. 39 - Prob. 29ECh. 39 - Prob. 30ECh. 39 - Prob. 31ECh. 39 - Prob. 32ECh. 39 - Prob. 33ECh. 39 - Prob. 34ECh. 39 - Prob. 35ECh. 39 - Prob. 36ECh. 39 - Prob. 37ECh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61PPCh. 39 - Prob. 62PPCh. 39 - Prob. 63PPCh. 39 - Prob. 64PP
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