Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 23, Problem 86P
To determine
The radius of the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A solid copper sphere whose radius is 1.0 cm has a verythin surface coating of nickel. Some of the nickel atoms areradioactive, each atom emitting an electron as it decays. Halfof these electrons enter the copper sphere, each depositing 100 keVof energy there.The other half of the electrons escape, each carryingaway a charge e.The nickel coating has an activity of 3.70 *10^8 radioactivedecays per second. The sphere is hung from a long, nonconductingstring and isolated from its surroundings. (a) How longwill it take for the potential of the sphere to increase by 1000 V? (b)How long will it take for the temperature of the sphere to increaseby 5.0 K due to the energy deposited by the electrons? The heatcapacity of the sphere is 14 J/K.
An alpha particle (charge +3.20 x 10^-19C, mass 6.64 x10^-27kg) is initially 5.2cm away from a fixed golden nucleus (charge +1.36 x10^-17C, mass 3.29x10^-25kg), and moving toward the nucleus with a speed of 8.1x10^5m/s. How close to the nucleus does te alpha particle get? Note: the nucleus diameter is approximately 10^-14m and the alpha particles's is 10^-15m
A beam of alpha particles is incident on a target of lead. A particular alpha particle comes in “head-on” to a particular lead nucleu and stops 6.50 * 10-14 m away from the center of the nucleus. (This point is well outside the nucleus.) Assume that the lead nucleus, which has 82 protons, remains at rest. The mass of the alpha particle is 6.64 * 10-27 kg. (a) Calculate the electrostatic potential energy at the instant that the alpha particle stops. Express your result in joules and in MeV. (b) What initial kinetic energy (in joules and in MeV) did the alpha particle have? (c) What was the initial speed of the alpha particle?
Chapter 23 Solutions
Physics for Scientists and Engineers
Ch. 23 - Prob. 1PCh. 23 - Prob. 2PCh. 23 - Prob. 3PCh. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - Prob. 7PCh. 23 - Prob. 8PCh. 23 - Prob. 9PCh. 23 - Prob. 10P
Ch. 23 - Prob. 11PCh. 23 - Prob. 12PCh. 23 - Prob. 13PCh. 23 - Prob. 14PCh. 23 - Prob. 15PCh. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - Prob. 18PCh. 23 - Prob. 19PCh. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Prob. 22PCh. 23 - Prob. 23PCh. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - Prob. 27PCh. 23 - Prob. 28PCh. 23 - Prob. 29PCh. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Prob. 58PCh. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - Prob. 61PCh. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Prob. 73PCh. 23 - Prob. 74PCh. 23 - Prob. 75PCh. 23 - Prob. 76PCh. 23 - Prob. 77PCh. 23 - Prob. 78PCh. 23 - Prob. 79PCh. 23 - Prob. 80PCh. 23 - Prob. 81PCh. 23 - Prob. 82PCh. 23 - Prob. 83PCh. 23 - Prob. 84PCh. 23 - Prob. 85PCh. 23 - Prob. 86PCh. 23 - Prob. 87PCh. 23 - Prob. 88PCh. 23 - Prob. 89PCh. 23 - Prob. 90PCh. 23 - Prob. 91PCh. 23 - Prob. 92PCh. 23 - Prob. 93PCh. 23 - Prob. 94P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forwardProtons enter a region of electric field where the potential difference between where the protons enter and exit is +5×106 volts (5 MV). Assuming the initial energy of the protons was negligible, how much energy does the proton gain? What if we had a fully ionized carbon-12 nucleus instead?arrow_forwardWhat is the magnitude of the repulsive electrostatic force between two protons in a nucleus? Consider the distance between the centers of the protons to be 3.5 x 10^-13 m.If these protons were released from rest, Calculate the magnitude of their initial acceleration?arrow_forward
- Alpha particles are projected toward a gold foil from a distance that is sufficiently large to consider the Coulomb force negligible. The gold nuclei have 118 neutrons and 79 protons. If a 3.60 MeV alpha particle has a scattering angle of 180° and the gold nucleus does not recoil, determine the distance of closest approach of the alpha particle.arrow_forwardAn alpha particle (Z = 2, mass = 6.64 x 10-27 kg) approaches to within 1.00 x 10-14 m of a carbon nucleus (Z = 6). What are (a) the maximum Coulomb force on the alpha particle, (b) the acceleration of the alpha particle at this time, and (c) the potential energy of the alpha particle at the same time?arrow_forwardNow you have a nucleus with 17 protons at x = 5.8 Angstroms on the x-axis. How much work would it take to bring in ANOTHER nucleus with 14 protons from 1 m away and place it at y = 8.0 Angstroms on the y-axis?arrow_forward
- Certain stars are thought to collapse at the end of their lives, combining their protons and electrons to form a neutron star. Such a star could be thought of as a giant atomic nucleus. If a star with a mass equal to that of the sun (of mass 1.99 × 10°0 kg) were to collapse into neutrons, what would be the radius of the star? Answer in units of m.arrow_forwardCompute the gravitational and Coulomb force between two protons in 3He. Assume the distance between the protons is equal to the nuclear radius. The average nuclear potential energy is an attractive 40 MeV effective over a distance of 3.0 fm. Compare that energy with the potential energies associated with the gravitational and Coulomb forces at the same distancearrow_forwardAt the end of its life, a star with a mass of two times the Sun’s mass is expected to collapse, combining its protons and electrons to form a neutron star. Such a star could be thought of as a gigantic atomic nucleus. If a star of mass 2 x 1.99 x 1030 kg collapsed into neutrons (mn = 1.67 x 10-27 kg), what would its radius be? Assume r = r0 A1/3.arrow_forward
- -14 (a) Find the speed an alpha particle requires to come within 3.4 x 10 m of an iron nucleus. 19.35*10**6 X Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) Find the energy of the alpha particle in MeV. 7.79 Your response differs from the correct answer by more than 100%. MeVarrow_forwardThe element 218Po (Polonium-218, Z = 84, atomic mass 218.008966 u) can decay through the emission of a β-particle to 218At (Astatine-218, Z = 85, atomic mass 218.00880 u). If all of the energy released is carried away by the β-particle's kinetic energy, calculate the kinetic energy of the β-particle.answer in units of MeV, correct to two decimal places.arrow_forwardThere are three naturally occurring stable isotopes of magnesium: 24MB, 25MG, and 26MB, which have relative abundances on Earth of 79%, 10%, and 11% respectively. Note that the atomic number of magnesium is 12. a) ) A magnesium-24 nucleus can be considered as nucleons uniformly distributed in a spherical volume. Calculate the energy required to construct a uniformly charged sphere, using the following 2Q2 20πεο R equation: U where Q is the total charge and R is the radius. ii) Calculate the binding energy (in eV) of magnesium-24, which has an atomic mass of 23.9850 AMU. The mass of a neutron is 1.0087 amu and the mass of a proton is 1.0073 amu. Using your results from parts (i) and (ii) discuss how the nucleus is held together. b) The radioisotope of magnesium with the longest half-life is magnesium-28, with a half-life of 20.9 hrs. Magnesium-28 decays through B- decay into aluminium-28. With reference to fundamental particles, describe the process which occurs in beta minus decay.…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College