University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 11, Problem 78CP
Electrons and positions are collided in a circular accelerator. Derive the expression for the center-of-mass energy of the particle.
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Chapter 11 Solutions
University Physics Volume 3
Ch. 11 - Check Your Understanding What is the baryon number...Ch. 11 - Check Your Understanding What is the lepton number...Ch. 11 - Check Your Understanding What is the strangeness...Ch. 11 - Check Your Understanding What is the baryon number...Ch. 11 - Check Your Understanding How much energy does an...Ch. 11 - Check Your Understanding A charged particle of a...Ch. 11 - Check Your Understanding Why is a symmetric...Ch. 11 - Check Your Understanding The light of a galaxy...Ch. 11 - Check Your Understanding Compare the abundance of...Ch. 11 - What are the four fundamental forces? Briefly...
Ch. 11 - Distinguish fermions and bosons using the concepts...Ch. 11 - List the quark and lepton families.Ch. 11 - Distinguish between elementary particles...Ch. 11 - What are six particle conservation laws? Briefly...Ch. 11 - In general, how do we determine if a particle...Ch. 11 - Why might the detection of panicle interaction...Ch. 11 - What are the six known quarks? Summarize their...Ch. 11 - What is the general quark composition of a baryon?...Ch. 11 - What evidence exists for the existence of quarks?Ch. 11 - Why do baryons with the same quark composition...Ch. 11 - Briefly compare the Van de Graaff accelerator,...Ch. 11 - Describe the basic components and function of...Ch. 11 - What are the subdetectors of the Compact Muon...Ch. 11 - What is the advantage of a colliding-beam...Ch. 11 - An electron appeals in the muon detectors of the...Ch. 11 - What is the Standard Model? Express your answer in...Ch. 11 - Draw a Feynman diagram to represents annihilation...Ch. 11 - What is the motivation behind grand unification...Ch. 11 - If a theory is developed that unifies all four...Ch. 11 - If the Higgs boson is discovered and found to have...Ch. 11 - One of the common decay modes of the is 0 is 0+p ....Ch. 11 - What is meant by cosmological expansion? Express...Ch. 11 - Describe the balloon analogy for cosmological...Ch. 11 - Distances to local galaxies are determined by...Ch. 11 - What is meant by a “cosmological model of the...Ch. 11 - Describe two pieces of evidence that support the...Ch. 11 - In what sense are we, as Newton once said, "a boy...Ch. 11 - If some unknown cause of redshift—such as light...Ch. 11 - In the past, many scientists believed the universe...Ch. 11 - How much energy is released when ail electron and...Ch. 11 - If 1.01030MeV of energy is released in the...Ch. 11 - When both an electron and a positron are at rest,...Ch. 11 - What is the total kinetic energy carried away by...Ch. 11 - Which of the following decays cannot occur because...Ch. 11 - Which of the following reactions cannot because...Ch. 11 - Identify one possible decay for each of the...Ch. 11 - Each of die following strong nuclear reactions is...Ch. 11 - Based on quark composition of a proton, show that...Ch. 11 - Based on the quark composition of a neutron, show...Ch. 11 - Argue that the quark composition given in Table...Ch. 11 - Mesons are fanned from the following combinations...Ch. 11 - Why can’t either set of quarks shown below form...Ch. 11 - Experimental results indicate an isolate particle...Ch. 11 - Express the decays np+e+vand pn+e++vin terms of...Ch. 11 - A charged particle in a 2.0-T magnetic field is...Ch. 11 - A proton track passes through a magnetic field...Ch. 11 - Derive the equation p = 0.3Br using the concepts...Ch. 11 - Assume that beam energy of an electron-positron...Ch. 11 - At full energy, protons in the 2.00-km-diameter...Ch. 11 - Suppose a Wcreated in a particle detector lives...Ch. 11 - What length track does a +traveling at 0.100c...Ch. 11 - The 3.20-km-lfmg SLAC produces a beam of 50.0-GcV...Ch. 11 - Using the Heisenberg uncertainly principle,...Ch. 11 - Use the Heisenberg uncertainly principle to...Ch. 11 - (a) The following decay is mediated by the...Ch. 11 - Assuming conservation of momentum, what is the...Ch. 11 - What is the wavelength of a 50-GeV electron, which...Ch. 11 - The primary decay mode for the negative pion is +v...Ch. 11 - Suppose you are designing a proton decay...Ch. 11 - If the speed of a distant galaxy is 0.99c, what is...Ch. 11 - The distance of a galaxy from our solar system is...Ch. 11 - If a galaxy is 153 Mpc away flora us, how fast do...Ch. 11 - On average, how far away are galaxies that are...Ch. 11 - Our solar system orbits the center of the Milky...Ch. 11 - (a) Wliat is the approximate velocity relative to...Ch. 11 - (a) Calculate the approximate age of the universe...Ch. 11 - The Andromeda Galaxy is the closest large galaxy...Ch. 11 - Show that the velocity of a star orbiting its...Ch. 11 - Experimental results suggest that a muon decays to...Ch. 11 - Each of the following reactions is missing a...Ch. 11 - Because of energy loss due to synchrotron...Ch. 11 - A proton and an antiproton collide head-on, with...Ch. 11 - When an electron and positron collide at the SLAC...Ch. 11 - The core of a star collapses during a supernova,...Ch. 11 - Using the solution from the previous problem, find...Ch. 11 - (a) What Hubble constant corresponds to an...Ch. 11 - Electrons and positions are collided in a circular...Ch. 11 - The intensity of cosmic ray radiation decreases...Ch. 11 - (a) Calculate the relativistic quantity...Ch. 11 - Plans for ail accelerator that produces a...Ch. 11 - In supei novae, neutrinos are produced in huge...Ch. 11 - Assuming a circular orbit for the Sun about the...Ch. 11 - (a) What is the approximate force of gravity on a...Ch. 11 - (a) A panicle and its antiparticle are at rest...Ch. 11 - The peak intensity of the CMBR occurs at a...Ch. 11 - (a) Use the Heisenberg uncertainty principle to...
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- An unstable particle, initially at rest, decays into a proton (rest energy 938.3 MeV) and a negative pion (rest energy 139.5 MeV). A uniform magnetic field of 0.250 T exists perpendicular to the velocities of the created particles. The radius of curvature of each track is found to be 1.33 m. What is the rest mass of the original unstable particle?arrow_forward(a) The following decay is mediated by the electroweak force: pn+e++ve Draw the Feynman diagram for the decay. (b) The following scattering is mediated by the electroweak force: ve+eve+e Draw the Feynman diagram for the scattering.arrow_forwardA -meson is a particle that decays into a muon and a massless particle. The -meson has a rest mass energy of 139.6 MeV, and the muon has a rest mass energy of 105.7 MeV. Suppose the -meson is at rest and all of the missing mass goes into the muon's kinetic energy. How fast will the muon move?arrow_forward
- (a) Verify from its quark composition that the particle could be an excited state of the proton. (b) There is a spread of about 100 MeV in the decay energy of the interpreted as uncertainty due to its short lifetime. What is its approximate lifetime? (c) Does its decay proceed via the strong or weak force?arrow_forward(a) Find the charge, baryon number, strangeness, charm, and bottomness of the particle from its quark composition. (b) Do the same for the particle.arrow_forwardThe total energy in the beam of an accelerator is far greater than the energy of the individual beam particles. Why isn't this total energy available to create a single extremely massive particle?arrow_forward
- What is the advantage of a colliding-beam accelerator over one that fires particles into a fixed target?arrow_forward(a) Do all particles having strangeness also have at least one strange quark in them? (b) Do all hadrons with a strange quark also have nonzero strangeness?arrow_forwardA positron is an antimatter version of the electron, having exactly the same mass. When a positron and an electron meet, they annihilate, converting all of their mass into energy. (a) Find the energy released, assuming negligible kinetic energy before the annihilation. (b) If this energy is given to a proton in the form of kinetic energy, what is its velocity? (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity?arrow_forward
- The 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_forwardBased on quark composition of a proton, show that its charge is +1.arrow_forwardWhy might the detection of panicle interaction that violates an established particle conservation law be considered a good thing for a scientist?arrow_forward
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