Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 24, Problem 61P
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one circumference electron—call it e0. How many other circumference electrons are closer to e0 than the central electron is?
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Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a
narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere. In
configuration 2, N - 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring. (a) What is the
smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one
circumference electron-call it eo. How many other circumference electrons are closer to e than the central electron is?
(a) Number
Units
(b) Number
Hi
Units
Do q 9,23
A proton is located at the origin, and a second proton is located on the x-axis at x1 = 6.22 fm (1 fm = 10−15 m).
(a) Calculate the electric potential energy associated with this configuration. J (b) An alpha particle (charge = 2e, mass = 6.64 ✕ 10−27 kg) is now placed at (x2, y2) = (3.11, 3.11) fm. Calculate the electric potential energy associated with this configuration. J (c) Starting with the three particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) J (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. m/s (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity. m/s
Chapter 24 Solutions
Fundamentals of Physics Extended
Ch. 24 - Figure 24-24 shows eight particles that form a...Ch. 24 - Figure 24-25 shows three sets of cross sections of...Ch. 24 - Figure 24-26 shows four pairs of charged...Ch. 24 - Figure 24-27 gives the electric potential V as a...Ch. 24 - Figure 24-28 shows three paths along which we can...Ch. 24 - Figure 24-29 shows four arrangement? of charged...Ch. 24 - Figure 24-30 shows a system of three charged...Ch. 24 - In the situation of Question 7, is the work done...Ch. 24 - Figure 24-26 shows four pairs of charged particles...Ch. 24 - a In Fig. 24-31a, what is the potential at point P...
Ch. 24 - Figure 24-32 shows a thin, uniformly charged rod...Ch. 24 - In Fig. 24-33, a particle is to be released at...Ch. 24 - SSM A particular 12 V car battery can send a total...Ch. 24 - The electric potential difference between the...Ch. 24 - Suppose that in a lightning flash the potential...Ch. 24 - Two large, parallel, conducting plates are 12 cm...Ch. 24 - SSM An infinite nonconducting sheet has a surface...Ch. 24 - When an electron moves from A to B along an...Ch. 24 - The electric field in a region of space has the...Ch. 24 - A graph of the x component of the electric field...Ch. 24 - An infinite nonconducting sheet has a surface...Ch. 24 - GO Two uniformly charged, infinite, nonconducting...Ch. 24 - A nonconducting sphere has radius R = 2.31 cm and...Ch. 24 - As a space shuttle moves through the dilute...Ch. 24 - What are a the change and b the charge density on...Ch. 24 - Consider a particle with charge q = 1.0 C, point A...Ch. 24 - SSM ILW A spherical drop of water carrying a...Ch. 24 - GO Figure 24-37 shows a rectangular array of...Ch. 24 - GO In Fig.24-33, what is the net electric...Ch. 24 - GO Two charged particles are shown in Fig. 24-39a....Ch. 24 - In Fig. 24-40, particles with the charges q1 = 5e...Ch. 24 - Two particles, of charges q1 and q2, are separated...Ch. 24 - ILW The ammonia molecule NH3 has a permanent...Ch. 24 - In Fig. 24-41a, a particle of elementary charge e...Ch. 24 - a Figure 24-42a shows a nonconducting rod of...Ch. 24 - In Fig. 21-43, a plastic rod having a uniformly...Ch. 24 - A plastic rod has been bent into a circle of...Ch. 24 - GO Figure 24-45 shows a thin rod with a uniform...Ch. 24 - In Fig. 24-46, three thin plastic rods form...Ch. 24 - GO Figure 24-47 shows a thin plastic rod of length...Ch. 24 - In Fig. 24-48, what is the net electric potential...Ch. 24 - GO The smiling face of Fig. 24-49 consists of...Ch. 24 - SSM WWW A plastic disk of radius R = 64.0 cm is...Ch. 24 - GO A non uniform linear charge distribution given...Ch. 24 - GO The thin plastic rod shown in Fig. 24-47 has...Ch. 24 - Two large parallel metal plates are 1.5 cm apart...Ch. 24 - The electric potential al points in an xy plane is...Ch. 24 - The electric potential V in the space between two...Ch. 24 - SSM What is the magnitude of the electric field at...Ch. 24 - Figure 24-47 shows a thin plastic rod of length L...Ch. 24 - An electron is placed in an xy plane where I he...Ch. 24 - GO The thin plastic rod of length L = 10.0 cm in...Ch. 24 - A particle of charge 7.5 C is released from rest...Ch. 24 - a What is the electric potential energy of two...Ch. 24 - How much work is required to set up the...Ch. 24 - In Fig. 24-53, seven charged particles are fixed...Ch. 24 - ILW A particle of charge q is fixed at point P,...Ch. 24 - A charge of 9.0 nC is uniformly distributed around...Ch. 24 - GO What is the escape speed for an electron...Ch. 24 - A thin, spherical conducting shell of radius R is...Ch. 24 - GO Two electrons are fixed 2.0 cm apart. Another...Ch. 24 - In Fig. 24-54, how much work must we do to bring a...Ch. 24 - GO In the rectangle of Fig. 24-55, the sides have...Ch. 24 - Figure 24-56a shows an electron moving along an...Ch. 24 - Two tiny metal sphere? A and B, mass mA = 5.00 g...Ch. 24 - GO A positron charge e, mass equal to the electron...Ch. 24 - An electron is projected with an initial speed of...Ch. 24 - Particle 1 with a charge of 5.0 C and particle 2...Ch. 24 - SSM Identical 50 C charges are fixed or an x axis...Ch. 24 - GO Proton in a well. Figure 24-59 shows electric...Ch. 24 - In Fig. 24-60, a charged particle either an...Ch. 24 - In Fig. 24-61a, we move an electron from an...Ch. 24 - Suppose N electrons can be placed in either of two...Ch. 24 - Sphere 1 with radius R1 has positive charge q....Ch. 24 - SSM WWW Two metal spheres, each of radius 3.0 cm,...Ch. 24 - A hollow metal sphere has a potential of 400 V...Ch. 24 - SSM What is the excess charge on a conducting...Ch. 24 - Two isolated, concentric, conducting spherical...Ch. 24 - A metal sphere of radius 15 cm has a net charge of...Ch. 24 - Here are the charges and coordinates of two...Ch. 24 - SSM A long, solid, conducting cylinder has a...Ch. 24 - The chocolate crumb mystery. This story begins...Ch. 24 - SSM Starting from Eq. 24-30, derive an expression...Ch. 24 - The magnitude E of an electric field depends on...Ch. 24 - a If an isolated conducting sphere 10 cm in radius...Ch. 24 - Three particles, charge q1 = 10 C, q2 = 20 C, and...Ch. 24 - An electric field of approximately 100 V/m is...Ch. 24 - A Gaussian sphere of radius 4.00 cm is centered or...Ch. 24 - In a Millikan oil-drop experiment Module 22-6, a...Ch. 24 - Figure 24-63 shows three circular, nonconducting...Ch. 24 - An electron is released from rest on the axis of...Ch. 24 - Figure 24-64 shows a ring of outer radius R = 13.0...Ch. 24 - GO Electron in a well. Figure 24-65 shows electric...Ch. 24 - a If Earth had a uniform surface charge density of...Ch. 24 - In Fig. 24-66, point P is at distance d1 = 4.00 m...Ch. 24 - A solid conducting sphere of radius 3.0 cm has a...Ch. 24 - In Fig. 24-67, we move a particle of charge 2e in...Ch. 24 - Figure 24-68 shows a hemisphere with a charge of...Ch. 24 - SSM Three 0.12 C charges form an equilateral...Ch. 24 - Two charges q = 2.0 C are fixed a distance d = 2.0...Ch. 24 - Initially two electrons are fixed in place with a...Ch. 24 - A particle of positive charge Q is fixed at point...Ch. 24 - Two charged, parallel, flat conducting surfaces...Ch. 24 - In Fig. 24-70, point P is at the center of the...Ch. 24 - SSM A uniform charge of 16.0 C is on a thin...Ch. 24 - Consider a particle with charge q = 150 108 C,...Ch. 24 - SSM A thick spherical shell of charge Q and...Ch. 24 - A charge q is distributed uniformly throughout a...Ch. 24 - SSM A solid copper sphere whose radius is 1.0 cm...Ch. 24 - In Fig. 24-71, a metal sphere with charge q = 5.00...Ch. 24 - a Using Eq. 24-32, show that the electric...Ch. 24 - An alpha particle which has two protons is seat...Ch. 24 - In the quark model of fundamental particles, a...Ch. 24 - A charge of 1.50 108 C lies on an isolated metal...Ch. 24 - In Fig. 24-72, two particles of charges q1 and q2...
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