College Physics
1st Edition
ISBN: 9781938168048
Author: Paul Peter Urone, OpenStax, Roger Hinrichs
Publisher: OpenStax
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Chapter 33, Problem 7CQ
Massless particles must travel at the
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Consider a proton that is incident on a target proton
(at rest). What is the threshold energy needed to produce a Higg's Boson. Use the
following estimates of the masses: mp 1 [GeV] and mµ = 125 [GeV]. The Higgs boson
will eventually decay into leptons and protons (a particle physicist will tell you that the
Higgs boson will decay through different channels). The threshold energy is the minimum
energy needed for all these processes (channels) to be observed as confirmed in 2012 at the
Large Hadron Collider (LHC).
Question: If the entire 450 kg antimatter fuel supply of the Enterprise combines with the same amount of
matter and is complete converted into energy, how much energy is then released? How does this compare
to the U.S. yearly energy use, which is roughly 1.0 * 1020J?1
Give your answer as a percentage and give both answers in two significant figures (link).
Remember E = m * c with c =
2.998 * 10° m/s
1Young, H.. and Freedman, R. (2015) University Physics with Modern Physics. Pearson.
Solution:
Released energy:
Percentage:
The mass of a theoretical particle that may be associated with the unification of the electroweak and strong forces is 1014 GeV/c2. How many proton masses is this?
Chapter 33 Solutions
College Physics
Ch. 33 - The total energy in the beam of an accelerator is...Ch. 33 - Synchrotron radiation takes energy from an...Ch. 33 - What two major limitations prevent us from...Ch. 33 - What are the advantages of collidingbeam...Ch. 33 - Large quanti?es of antimatter isolated from normal...Ch. 33 - Massless particles are not only neutral, they are...Ch. 33 - Massless particles must travel at the speed of...Ch. 33 - When a stat erupts in a supernova explosion, huge...Ch. 33 - Theorists have had spectacular success in...Ch. 33 - What lifetime do you expect for an antineutron...
Ch. 33 - Why does the meson have such a short lifetime...Ch. 33 - (a) Is a hadron always a baryon? (b) Is a baryon...Ch. 33 - Explain how conservation of baryon number is...Ch. 33 - The quark ?avor change it takes place in decay....Ch. 33 - Explain how the weak force can change strangeness...Ch. 33 - Beta decay is caused by the weak force, as are all...Ch. 33 - Why is it easier to see the properties of the c,...Ch. 33 - How can quarks, which are fermions, combine to...Ch. 33 - What evidence is cited is support the contention...Ch. 33 - Discuss how we know that (mesons are not...Ch. 33 - An antibaryon has three antiquarks with colors...Ch. 33 - Suppose leptons are created in a reaction. Does...Ch. 33 - How can the lifetime of a particle indicate that...Ch. 33 - (a) Do all particles having strangeness also have...Ch. 33 - The sigmazero particle decays mostly via the...Ch. 33 - What do the quark compositions and other quantum...Ch. 33 - Discuss the similarities and differences between...Ch. 33 - Identity evidence for electroweak unification.Ch. 33 - The quarks in a particle are con?ned, meaning...Ch. 33 - If a GUT is proven, and the four forces are...Ch. 33 - If the Higgs boson is discovered and found to have...Ch. 33 - Gluons and the photon are massless. Does this...Ch. 33 - A virtual particle having an approximate mass of...Ch. 33 - Calculate the mass in of a virtual carrier...Ch. 33 - Another component of the strong nuclear force is...Ch. 33 - (a) Find the ratio of the strengths the weak and...Ch. 33 - We ratio of the strong to the weak force and the...Ch. 33 - At full energy, protons in the 2.00kmdiameter...Ch. 33 - Suppose a W created in a bubble chamber lives for...Ch. 33 - What length track does a (+ traveling at 0.100 c...Ch. 33 - The 3.20kmlong SLAC produces a beam of 50.0GeV...Ch. 33 - Because of energy loss due to synchrotron...Ch. 33 - A proton and an antiproton collide headon, with...Ch. 33 - When an electron and positron collide at the SLAC...Ch. 33 - The is its own antiparticle and decays in the...Ch. 33 - The primary decay mode for the negative pion is...Ch. 33 - The mass of a theoretical particle that may be...Ch. 33 - The decay mode of the negative muon is (a) Find...Ch. 33 - The decay mode of the positive tau is (a) What...Ch. 33 - The principal decay mode at the sigma zero is (a)...Ch. 33 - (a) What is the uncertainty in the energy released...Ch. 33 - (a) What is the uncertainty in the energy released...Ch. 33 - (a) Verify from its quark composition that the...Ch. 33 - Accelerators such as the Triangle Universities...Ch. 33 - The reaction (described in the preceding problem)...Ch. 33 - One of the decay modes of the omega minus is (a)...Ch. 33 - Repeat the previous problem for the decay modeCh. 33 - One decay mode for the etazero meson is (a) Find...Ch. 33 - One decay mode for the etazero meson is (a) Write...Ch. 33 - Is the decay possible considering the appropriate...Ch. 33 - Is the decay possible considering the appropriate...Ch. 33 - (a) Is the decay possible considering the...Ch. 33 - (a) Is the decay possible considering the...Ch. 33 - The only combination of quark colors that produces...Ch. 33 - (a) Three quarks form a baryon. How many...Ch. 33 - (a) Show that the conjectured decay of the proton,...Ch. 33 - Verify the quantum numbers given for the + in...Ch. 33 - Verify the quantum numbers given for the proton...Ch. 33 - (a) How much energy would be released if the...Ch. 33 - (a) Find the charge, baryon number, strangeness,...Ch. 33 - There are particles called Dmesons. One of them is...Ch. 33 - There are particles called bottom mesons or...Ch. 33 - (a) What particle has the quark composition u-u-d?...Ch. 33 - (a) Show than all combinations of three quarks...Ch. 33 - Integrated Concepts The intensity of cosmic ray...Ch. 33 - Integrated Concepts Assuming conservation of...Ch. 33 - Integrated Concepts What is the wavelength of a...Ch. 33 - Integrated Concepts Calculate the relativistic...Ch. 33 - Integrated Concepts The primary decay mode for the...Ch. 33 - Integrated Concepts Plans for an accelerator that...Ch. 33 - Integrated Concepts Suppose you are designing a...Ch. 33 - Integrated Concepts In supernovas, neutrinos are...Ch. 33 - Construct Your Own Problem Consider an...Ch. 33 - Construct Your Own Problem Consider a detector...
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- Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?arrow_forwardEnergy reaches the upper atmosphere of the Earth from the Sun at the rate of 1.79 1017 W. If all of this energy were absorbed by the Earth and not re-emitted, how much would the mass of the Earth increase in 1.00 yr?arrow_forward(a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mates? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109, since there are far more particles (such as photons and neutrinos) in space than in luminous matter.arrow_forward
- According to the article Alien Antimatter Crashes into Earth : More than 60 years ago, future Nobel laureate Sheldon Glashow predicted that if an collided with an antineutrino the antimatter answer to the nearly massless neutrino | electron, it could produce a cascade of other particles. The "Glashow resonance - phenomenon is hard to detect, in large part because the antineutrino needs about 1,000 times more energy than what's produced in the most powerful colliders on Earth. Let's compare this event to an ordinary baseball with a mass of 146 g. Please use three significant figures in your calculations.arrow_forward1. The tau lepton has a mass of ~2 GeV/c² and lives on average for 3x10-¹3s. If you try to measure its mass (i.e. rest energy), what is the best precision that you can obtain? The Z boson has a mass of ~90 GeV/c² and lives on average for 3x10-25 s. If you try to measure its mass, what is the best precision that you can obtain?arrow_forwardA nuclear fusion reaction in the Sun converts 4 H nuclei to 1 He-4 nucleus. Each Hydrogen nuclei is 1.007825u (an atomic mass unit); one Helium nucleus is 4.00268u. What is the mass lost in the process (in u)? What is the % of the original mass? Write down the equation that determines the energy produced in this process. Calculate the energy created from 1 kilogram of hydrogen fused. (with units kg & m/s, answer will be Joules) The Sun’s luminosity (or power) is 4 x 1026 Watts (=J/s). How many kilograms of hydrogen must be fused every second to maintain this luminosity? (hint: work backwards from the energy per second to the mass released to the amount of hydrogen required, using the results from the previous question.) The Sun’s mass is ~2x1030 kg. If 10% of this is Hydrogen available in the core, how long will the Sun be able to continue fusing hydrogen at this rate? This is considered the Sun's "lifetime". If the Sun is 4.6 billion years old (and assuming it's power…arrow_forward
- 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?arrow_forwardConsider a proton that is incident on a target proton (at rest). What is the threshold energy needed to produce a Higg's Boson. Use the following estimates of the masses: m₂ = 1 [GeV] and my = 125 [GeV]. The Higgs boson will eventually decay into leptons and protons (a particle physicist will tell you that the Higgs bos m will decay through different channels). The threshold energy is the minimum energy needed for all these processes (channels) to be observed as confirmed in 2012 at the Large Ha tron Collider (LHC).arrow_forwardWhat is the binding energy of 12C? The mass of an atom of 12C is 12 u (exactly), of an atom of 'H is 1.007825 u, and of a neutron is 1.0086649 u.arrow_forward
- 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_forwardSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y ?(b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y , how long would you have to wait on anaverage to see a single proton decay?arrow_forwardWhen a proton and an antiproton annihilate, the resulting energy can be used to create new particles. One possibility is the creation of electrically neutral particles called neutral pions. A neutral pion has a rest mass of 135 MeV/c2. How many neutral pions could be produced in the annihilation of a proton and an antiproton? Assume the proton and antiproton are moving very slowly as they collide.arrow_forward
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