COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 28, Problem 30QAP
To determine
The minimum kinetic energy of the incident protons
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In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.)
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A description of the cyclotron can be found in section 19.3 of the text. If a proton (of mass 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 2.08cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 2.44x10-2T, what is the resulting velocity of the proton in units of km/s (kilometer per second)?
Chapter 28 Solutions
COLLEGE PHYSICS
Ch. 28 - Prob. 1QAPCh. 28 - Prob. 2QAPCh. 28 - Prob. 3QAPCh. 28 - Prob. 4QAPCh. 28 - Prob. 5QAPCh. 28 - Prob. 6QAPCh. 28 - Prob. 7QAPCh. 28 - Prob. 8QAPCh. 28 - Prob. 9QAPCh. 28 - Prob. 10QAP
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- Use the laws of conservation of momentum and energy to explain how a shape charge can direct most of the energy released in an explosion in a specific direction. (Note that this is similar to the situation in guns and cannonsmost of the energy goes into the bullet.)arrow_forwardConstruct Your Own Problem Consider a highly relativistic particle. Discuss what is meant by the term "highly relativistic." (Note that, in part, it means that the particle cannot be massless.) Construct a problem in which you calculate the wavelength of such a particle and show that it is very nearly the same as the wavelength of a massless particle, such as a photon, with the same energy. Among the things to be considered are the rest energy of the particle (it should be a known particle) and its total energy, which should be large compared to its rest energy.arrow_forwardThe cosmic rays of highest energy are protons that m have kinetic energy on the order of 1013 MeV. (a) As measured in the protons frame, what time interval would a proton of this energy require to trawl across the Milky Way galaxy, which has a proper diameter 105 ly? (b) From the point of view of the proton, how many kilometers across is the galaxy?arrow_forward
- Our solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forwardWhen a stat erupts in a supernova explosion, huge numbers of electron neutrinos are formed in nuclear reactions. Such neutrinos from the 1987A supernova in the relatively nearby Magellanic Cloud were observed within hours of the initial brightening, indicating they traveled to earth at approximately the speed of light. Explain how this date can be used to set an upper limit on the mass of the neutrino, noting that the mass is small the neutrinos could travel very close to the speed at light and have a reasonable energy (on the order of MeV).arrow_forwardElectrons and positions are collided in a circular accelerator. Derive the expression for the center-of-mass energy of the particle.arrow_forward
- Construct Your Own Problem Consider an ultrahighenergy cosmic ray entering the Earth’s atmosphere (some have energies approaching a joule). Construct a problem in which you calculate the energy of the particle based on the number of particles in an observed cosmic ray shower. Among the things to consider are the average mass of the shower particles, the average number per square meter, and the extent (number of square meters covered) of the shower. Express the energy in eV and joules.arrow_forwardA particle physicist discovers a neutral particle with a mass of 2.02733 u that he assumes is two neutrons bound together. Find the binding energy. What is unreasonable about this result?arrow_forwardWhat is for a proton having a mass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt) at Fermilab outside Chicago?arrow_forward
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