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 66GP
To determine
The proof of
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1. You and your lab partner are making measurements on particle decay in the lab. You make the
following measurements on particle A: m₁ = 498 MeV/c² and ₁ = 0.462c î. You observe
VA
particle A decay to particles B and C. Your lab partner makes the following measurements:
MB = mc = = 140 MeV/c² and ✓ = −0.591c î. (a) Calculate the total energy for each particle.
(b) Find the velocity (magnitude and direction) of particle C. (c) Spock is in a ship moving with
VB
a velocity of vs = 0.635c î observing the same particle decay. What values does he measure for
the velocities of particle B and particle C?
06 (a) A stationary particle 1 decays into particles 2 and 3, which
move off with equal but oppositely directed momenta. Show that
the kinetic energy K2 of particle 2 is given by
K,
-[(E, - E) – E,
2E,
where E1, E2, and Ez are the rest energies of the particles.
(b) A stationary positive pion + (rest energy 139.6 MeV) can de-
cay to an antimuon ut (rest energy 105.7 MeV) and a neutrino v
(rest energy approximately 0). What is the resulting kinetic energy
of the antimuon?
a) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x
10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two
A mesons emerge at equal angles to the original K° direction.
Calculate the kinetic energy of each T meson and the opening angle between them. The
mass of a 7 meson is 139.57 MeV/c2.
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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- A neutral rho particle decays from rest into two pions through the following decay reaction: The masses of the particles are: p° = 775 MeV/c?, Tt = 140 MeV/c², 7¯ = 140 MeV/c?, What is the kinetic energy of the n+ immediately after the decay? Express your answer in units of MeV. Answer:arrow_forwardAn electron-positron collider runs with symmetric beam energies of E(e+) = E(e¯) = 102 GeV. At each orbit AE = 2.2 GeV has to be replaced for each beam particle by the accelerating units. The accelerator has 24 units available; each unit can replace an energy of AE = 100 MeV per orbit. a) State the mechanism responsible for the energy loss and state how the energy loss per orbit scales with the beam energy. b) The researchers want to create the Standard-Model Higgs boson but don't know its mass yet. Argue why the production rate via the direct process ete →H is negligible and name the process which can be used instead. Draw a Feynman diagram of this process. [6 marks]arrow_forwardConsider the reaction 235 U 92 1 0 148 57 87 35 La Br Element Atomic Mass (u) 235 92 U U + 1 U 0 n → U 148 57 La + 235.043923 1.008665 147.932236 86.92071119 87 35 Br + 1 (a) Write the conservation of relativistic energy equation symbolically in terms of the rest energy and the kinetic energy, setting the initial total energy to the final total energy. (Use the following as necessary: m;, mf, KE, KE, and c.) 0 (b) Using values given above, find the total mass of the initial particles (in u). n. (c) Using the values given above, find the total mass of the particles after the reaction takes place (in u). (d) Subtract the final particle mass from the initial particle mass. (Enter your answer in u.) (e) Convert the answer to part (d) to MeV, obtaining the kinetic energy of the daughter particles. Neglect the kinetic energy of the reactants. MeVarrow_forward
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