Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 43, Problem 46GP
To determine
The length of the track measured in the lab.
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About 10,000 cosmic-ray protons, each with hundreds of MeV of energy, impinge on each square meter of our upper atmosphere each second. They collide with atmospheric nitrogen and oxygen to produce secondary showers of newly created particles, including many muons. Muons have a mass of 105.7 MeV/c2 and an average lifetime of 2.197 µs. Consider a secondary cosmic muon produced at an altitude of 15.00 km aimed directly downward with an energy of 6.000 GeV. With such high energy, the muon can travel a great distance into the earth without slowing down.
(a) Determine the speed of this muon.
(b) How far would this muon travel in one lifetime if there were no relativistic effects?
(c) In the frame of the muon, what distance separates its creation position from the earth’s surface?
(d) If one lifetime passes in the frame of the muon, how much time passes in the frame of the earth?
(e) How far does a muon travel in this time as seen from the earth?
(f) Does the muon survive its trip to the…
What is the rest energy (in joules) of a subatomic particle whose (rest) mass is 6.7×10−31 kg? How many MeV’s of energy is this?
Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 43.1 - Prob. 1AECh. 43.2 - Prob. 1CECh. 43.9 - Prob. 1DECh. 43.9 - Prob. 1EECh. 43 - Prob. 1QCh. 43 - If a proton is moving at very high speed, so that...Ch. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6Q
Ch. 43 - Prob. 7QCh. 43 - Prob. 8QCh. 43 - Prob. 9QCh. 43 - Prob. 10QCh. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 13QCh. 43 - Prob. 14QCh. 43 - Prob. 15QCh. 43 - Prob. 16QCh. 43 - Prob. 17QCh. 43 - Prob. 18QCh. 43 - Prob. 19QCh. 43 - Prob. 20QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Prob. 25PCh. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46GPCh. 43 - Prob. 47GPCh. 43 - Prob. 48GPCh. 43 - Prob. 49GPCh. 43 - Prob. 50GPCh. 43 - Prob. 51GPCh. 43 - Prob. 52GPCh. 43 - Prob. 53GPCh. 43 - Prob. 54GPCh. 43 - Prob. 55GPCh. 43 - Prob. 56GPCh. 43 - Prob. 57GPCh. 43 - Prob. 58GPCh. 43 - Prob. 59GPCh. 43 - Prob. 60GPCh. 43 - Prob. 61GPCh. 43 - Prob. 62GPCh. 43 - Prob. 63GPCh. 43 - Prob. 64GPCh. 43 - What fraction of the speed of light c is the speed...Ch. 43 - Prob. 66GPCh. 43 - Prob. 67GP
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- What is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt)?arrow_forwardIf relativistic effects are to be less than then must be less than 1.03. At what relative velocity isarrow_forwardSuppose a Wcreated in a particle detector lives for 5.001025s . What distance does it move in this time if it is traveling at 0.900c? (Note that the time is longer than the given Wlifetime, which can be due to the statistical nature of decay or time dilation.)arrow_forward
- If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?arrow_forwardSuppose a W created in a bubble chamber lives for What distance does it move in this time if it is traveling at 0.900 c? Since this distance is too short to make a track, the presence of the W must be inferred from its decay products. Note that the time is longer than the given W lifetime, which can be due to the statistical nature of decay or time dilation.arrow_forward. A compact neutron star has a mass of kg (about 1.4 times the mass of the Sun) but a radius of only m (approximately 6.2 mi!). If a clock on the surface of this exotic star marks the passage of 1 h of time, how much time is observed to pass on an identical clock located a very large distance from the neutron star?arrow_forward
- The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.arrow_forwardIf relativistic effects are to be less than then must be less than 1.01. At what relative velocity isarrow_forwardA neutral meson is a particle that can be created by accelerator beams. If one such particle lives as measured in the laboratory, and when at rest relative to an observer, what is its velocity relative to the laboratory?arrow_forward
- Particles called mesons are produced by accelerator beams. If these particles travel at and live when at rest relative to an observer, how long do they live as viewed in the laboratory?arrow_forward(a) How far does the muon in Example 28.1 travel according to the Earth-bound observer? (b) How far does it travel as viewed by an observer moving with it? Base your calculation on its velocity relative to the Earth and the time it lives (proper time). (c) Verity that these two distances are related through length contraction =3.20.arrow_forwardThe primary decay mode for the negative pion is +v . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon.arrow_forward
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