Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 41, Problem 6P
To determine
The electrostatic repulsive force and the acceleration of the two alpha particles held together.
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Alpha particles (a) were shot toward a gold foil. Gold has an atomic number of 79. An a had initial kinetic energy of about 6.1 MeV. When an a was closest to a
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Ch. 19.3, 33
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قبل ۷ دقائق
The suitable condition used in the fusion reaction is
O a. Absorptive electrostatic forces are overcome and the two nuclei can
come to a closer range to each other,
O b. Attractive electrostatic forces are overcome and the two nuclei can
come to a closer range to each other,
O c. Resistive electrostatic forces are overcome and the two nuclei can
come to a closer range to each other,
O d. Repulsive electrostatic forces are overcome and the two nuclei can
come to a closer range to each other,
O O D
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 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.2 - Prob. 1AECh. 41.2 - Prob. 1BECh. 41.4 - Prob. 1CECh. 41.8 - Prob. 1DECh. 41.8 - Prob. 1EECh. 41.8 - Prob. 1FECh. 41.8 - Prob. 1GECh. 41 - Prob. 1QCh. 41 - Prob. 2QCh. 41 - Prob. 3Q
Ch. 41 - Prob. 4QCh. 41 - Prob. 5QCh. 41 - How do we know there is such a thing as the strong...Ch. 41 - Prob. 7QCh. 41 - What is the experimental evidence in favor of...Ch. 41 - Prob. 9QCh. 41 - Prob. 10QCh. 41 - Prob. 11QCh. 41 - Prob. 12QCh. 41 - Prob. 13QCh. 41 - Prob. 14QCh. 41 - Prob. 15QCh. 41 - When a nucleus undergoes either or + decay, what...Ch. 41 - Prob. 17QCh. 41 - Prob. 18QCh. 41 - Prob. 19QCh. 41 - Prob. 20QCh. 41 - An isotope has a half-life of one month. After two...Ch. 41 - Prob. 22QCh. 41 - Prob. 23QCh. 41 - Prob. 24QCh. 41 - Prob. 25QCh. 41 - Prob. 26QCh. 41 - Prob. 27QCh. 41 - Prob. 28QCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5PCh. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 12PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 22PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37PCh. 41 - Prob. 38PCh. 41 - Prob. 39PCh. 41 - Prob. 40PCh. 41 - Prob. 41PCh. 41 - Prob. 42PCh. 41 - Prob. 43PCh. 41 - Prob. 44PCh. 41 - Prob. 45PCh. 41 - Prob. 46PCh. 41 - Prob. 47PCh. 41 - Prob. 48PCh. 41 - Prob. 49PCh. 41 - Prob. 50PCh. 41 - Prob. 51PCh. 41 - Prob. 52PCh. 41 - Prob. 53PCh. 41 - Prob. 54PCh. 41 - Prob. 55PCh. 41 - Prob. 56PCh. 41 - (II) The activity of a radioactive source...Ch. 41 - Prob. 58PCh. 41 - Prob. 59PCh. 41 - Prob. 60PCh. 41 - Prob. 61PCh. 41 - Prob. 62GPCh. 41 - Prob. 63GPCh. 41 - Prob. 64GPCh. 41 - Prob. 65GPCh. 41 - Prob. 66GPCh. 41 - Prob. 67GPCh. 41 - Prob. 68GPCh. 41 - Prob. 69GPCh. 41 - Prob. 70GPCh. 41 - Prob. 71GPCh. 41 - Prob. 72GPCh. 41 - Prob. 73GPCh. 41 - Prob. 74GPCh. 41 - Prob. 75GPCh. 41 - Prob. 76GPCh. 41 - Prob. 77GPCh. 41 - Prob. 78GPCh. 41 - Prob. 79GPCh. 41 - Prob. 80GPCh. 41 - (a) A 72-gram sample of natural carbon contains...Ch. 41 - Prob. 82GPCh. 41 - Prob. 83GPCh. 41 - Prob. 84GPCh. 41 - Almost all of naturally occurring uranium is...Ch. 41 - Prob. 86GPCh. 41 - Prob. 87GPCh. 41 - Prob. 88GPCh. 41 - Prob. 89GPCh. 41 - Prob. 90GP
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- (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_forwardIf two nuclei are to fuse in a nuclear reaction, they must be moving fast enough so that the repulsive Coulomb force between them does not prevent them for getting within R1014mof one another. At this distance or nearer, the attractive nuclear force can overcome the Coulomb force, and the nuclei are able to fuse. (a) Find a simple formula that can be used to estimate the minimum kinetic energy the nuclei must have if they are to fuse. To keep the calculation simple, assume the two nuclei are identical and moving toward one another with the same speed v. (b) Use this minimum kinetic energy to estimate the minimum temperature a gas of the nuclei must have before a significant number of them will undergo fusion. Calculate this minimum temperature first for hydrogen and then for helium. (Hint: For fusion to occur, the minimum kinetic energy when the nuclei are far apart must be equal to the Coulomb potential energy when they are a distance R apart.)arrow_forwardThe activities of 131I and 123I used in thyroid scans are given in Table 32.1the 50 and 70 Ci, respectively. Find and compare the masses of 13lI and 231I in such scans, given their respective halflives are 8.04 d and 13.2 h. The masses are so small than the radioiodine is usually mixed with stable iodine as a carrier to ensure normal chemistry and distribution in the body.arrow_forward
- (a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?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_forwardAn alpha particle (Z = 2, mass = 6.64 × 10−27 kg) approaches to within 1.00 × 10-14 m of a carbon nucleus (Z 5 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_forward
- There 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_forwardA 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.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_forward
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