University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 23, Problem 23.83CP
CP In experiments in which atomic nuclei collide, head-on collisions like that described in Problem 23.74 do happen, but “near misses” are more common. Suppose the alpha particle in that problem is not “aimed” at the center of the lead nucleus but has an initial nonzero
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A proton moving in the positive x direction at 4.3 Mm/s collides with a nucleus. The collision lasts 0.12
fs, and the average impulsive force is 42 i + 17 j micro - Newton. A) Find the velocity of the proton
after the collision. B) Through what angle has the proton's motion been deflected?
CSM.10 One way to measure nuclear radii is to determine
the initial speed that a proton fired at a nucleus must have
to be absorbed. Suppose you fire a proton directly at the
nucleus of a gold atom, which contains 79 protons and
neutrons. Since both the proton and the gold nucleus are
positively charged, they will repel each other electrostati
cally. What must the proton's minimum initial speed (as
a fraction of the speed of light) be if it is to penetrate that
nucleus (whose radius is R 6 fm)?
(a) Give your answer symbolically in terms of R, the Cou-
lomb constant 1/4TEo, the speed of light c, the charge
on the proton q, and the proton's mass m.
(b) What is this fraction's numerical value?
(Hints: What must the proton's speed be at its point of
closest approach if the collision is head-on and it barely
touches the nucleus? Note also that the particles' initial
separation will be essentially infinite compared to 6 fm.
Neutrons have no
charge, so the charge of a gold nucleus
will be 79…
The protons in a nucleus are approximately 2 ✕ 10−15 m apart. Consider the case where the protons are a distance d = 1.85 ✕ 10−15 m apart. Calculate the magnitude of the electric force (in N) between two protons at this distance.
Chapter 23 Solutions
University Physics (14th Edition)
Ch. 23 - A student asked. Since electrical potential is...Ch. 23 - The potential (relative to a point at infinity)...Ch. 23 - Is it possible to have an arrangement of two point...Ch. 23 - Since potential can have any value you want...Ch. 23 - If E is zero everywhere along a certain path that...Ch. 23 - If E is zero throughout a certain region of space,...Ch. 23 - Which way do electric field lines point, from high...Ch. 23 - (a) If the potential (relative to infinity) is...Ch. 23 - If you carry out the integral of the electric...Ch. 23 - The potential difference between the two terminals...
Ch. 23 - It is easy to produce a potential difference of...Ch. 23 - If the electric potential at a single point is...Ch. 23 - Because electric field lines and equipotential...Ch. 23 - A uniform electric field is directed due east....Ch. 23 - We often say that if point A is at a higher...Ch. 23 - A conducting sphere is to be charged by bringing...Ch. 23 - In electronics it is customary to define the...Ch. 23 - A conducting sphere is placed between two charged...Ch. 23 - A conductor that carries a net charge Q has a...Ch. 23 - A high-voltage dc power line falls on a car, so...Ch. 23 - When a thunderstorm is approaching, sailors at sea...Ch. 23 - A positive point charge is placed near a very...Ch. 23 - A point charge q1 = +2.40 C is held stationary at...Ch. 23 - A point charge q1 is held stationary at the...Ch. 23 - Energy of the Nucleus. How much work is needed to...Ch. 23 - (a) How much work would it take to push two...Ch. 23 - A small metal sphere, carrying a net charge of q1...Ch. 23 - BIO Energy of DNA Base Pairing. (See Exercise...Ch. 23 - Two protons, starting several meters apart, are...Ch. 23 - Three equal 1.20-C point charges are placed at the...Ch. 23 - Two protons are released from rest when they are...Ch. 23 - Four electrons are located at the corners of a...Ch. 23 - Three point charges, which initially are...Ch. 23 - An object with charge q = 6.00 109 C is placed in...Ch. 23 - A small particle has charge 5.00 C and mass 2.00 ...Ch. 23 - A particle with charge +4.20 nC is in a uniform...Ch. 23 - A charge of 28.0 nC is placed in a uniform...Ch. 23 - Two stationary point charges +3.00 nC and +2.00 nC...Ch. 23 - Point charges q1 = + 2.00 C and q2 = 2.00 C are...Ch. 23 - Two point charges of equal magnitude Q are held a...Ch. 23 - Two point charges q1 = +2.40 nC and q2 = 6.50 nC...Ch. 23 - (a) An electron is to be accelerated from 3.00 ...Ch. 23 - A positive charge q is fixed at the point x = 0, y...Ch. 23 - At a certain distance from a point charge, the...Ch. 23 - A uniform electric field has magnitude E and is...Ch. 23 - For each of the following arrangements of two...Ch. 23 - A thin spherical shell with radius R1 = 3.00 cm is...Ch. 23 - A total electric charge of 3.50 nC is distributed...Ch. 23 - A uniformly charged, thin ring has radius 15.0 cm...Ch. 23 - A solid conducting sphere has net positive charge...Ch. 23 - Charge Q = 5.00 C is distributed uniformly over...Ch. 23 - An infinitely long line of charge has linear...Ch. 23 - A very long wire carries a uniform linear charge...Ch. 23 - A very long insulating cylinder of charge of...Ch. 23 - A very long insulating cylindrical shell of radius...Ch. 23 - A ring of diameter 8.00 cm is fixed in place and...Ch. 23 - A very small sphere with positive charge q = +...Ch. 23 - CP Two large, parallel conducting plates carrying...Ch. 23 - Two large, parallel, metal plates carry opposite...Ch. 23 - BIO Electrical Sensitivity of Sharks. Certain...Ch. 23 - The electric field at the surface of a charged,...Ch. 23 - (a) How much excess charge must be placed on a...Ch. 23 - CALC A metal sphere with radius ra is supported on...Ch. 23 - A very large plastic sheet carries a uniform...Ch. 23 - CALC In a certain region of space, the electric...Ch. 23 - CALC In a certain region of space the electric...Ch. 23 - A metal sphere with radius ra = 1.20 cm is...Ch. 23 - CP A point charge q1, = +5.00 C is held fixed in...Ch. 23 - A point charge q1 = 4.00 nC is placed at the...Ch. 23 - A positive point charge q1 = +5.00 104 C is held...Ch. 23 - A gold nucleus has a radius of 7.3 1015 m and a...Ch. 23 - A small sphere with mass 5.00 107 kg and charge...Ch. 23 - Determining the Size of the Nucleus. When...Ch. 23 - CP A proton and an alpha particle are released...Ch. 23 - A particle with charge +7.60 nC is in a uniform...Ch. 23 - Identical charges q = +5.00 C are placed at...Ch. 23 - CALC A vacuum tube diode consists of concentric...Ch. 23 - Two oppositely charged, identical insulating...Ch. 23 - An Ionic Crystal. Figure P23.57 shows eight point...Ch. 23 - (a) Calculate the potential energy of a system of...Ch. 23 - CP A small sphere with mass 1.50 g hangs by a...Ch. 23 - Two spherical shells have a common center. The...Ch. 23 - CALC Coaxial Cylinders. A long metal cylinder with...Ch. 23 - A Geiger counter detects radiation such as alpha...Ch. 23 - CP Deflection in a CRT. Cathode-ray tubes (CRTs)...Ch. 23 - CP Deflecting Plates of an Oscilloscope. The...Ch. 23 - Electrostatic precipitators use electric forces to...Ch. 23 - CALC A disk with radius R has uniform surface...Ch. 23 - CALC Self-Energy of a Sphere of Charge. A solid...Ch. 23 - CALC A thin insulating rod is bent into a...Ch. 23 - Charge Q = +4.00 C is distributed uniformly over...Ch. 23 - An insulating spherical shell with inner radius...Ch. 23 - CP Two plastic spheres, each carrying charge...Ch. 23 - (a) If a spherical raindrop of radius 0.650 mm...Ch. 23 - CALC Electric charge is distributed uniformly...Ch. 23 - An alpha particle with kinetic energy 9.50 MeV...Ch. 23 - Two metal spheres of different sizes are charged...Ch. 23 - A metal sphere with radius R1 has a charge Q1....Ch. 23 - Prob. 23.77PCh. 23 - CALC The electric potential V in a region of space...Ch. 23 - DATA The electric potential in a region that is...Ch. 23 - DATA A small, stationary sphere carries a net...Ch. 23 - DATA The Millikan Oil-Drop Experiment. The charge...Ch. 23 - CALC A hollow, thin-walled insulating cylinder of...Ch. 23 - CP In experiments in which atomic nuclei collide,...Ch. 23 - For a particular experiment, helium ions are to be...Ch. 23 - A helium ion (He++) that comes within about 10 fm...Ch. 23 - The maximum voltage at the center of a typical...
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