Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
4th Edition
ISBN: 9780132273244
Author: Doug Giancoli
Publisher: PEARSON
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Chapter 23, Problem 63P
(II) The liquid-drop model of the nucleus suggests that high-energy oscillations of certain nuclei can split (“fission”) a large nucleus into two unequal fragments plus a few neutrons. Using this model, consider the ease of a uranium nucleus fissioning into two spherical fragments, one with a charge q1 = +38e and radius r1 = 5.5 × 10-15m, the other with q2 = +54e and r2 = 6.2 × 10-15m. Calculate the electric potential energy (MeV) of these fragments, assuming that the charge is uniformly distributed throughout the volume of each spherical nucleus and that their surfaces are initially in contact at rest. The electrons surrounding the nuclei can be neglected. This electric potential energy will then be entirely converted to kinetic energy as the fragments repel each other. How does your predicted kinetic energy of the fragments agree with the observed value associated with uranium fission (approximately 200 MeV total)? [l MeV = 106eV.]
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When the nucleus of uranium-235 (92 protons and 143 neutrons) absorbs an additional neutron, it undergoes a process called nuclear fission in which it breaks into two smaller nuclei. One possible fission is for uranium nucleus to divide into two palladium nuclei, each of which has 46 protons and 5.9 x 10−15 m in radius. The palladium nuclei then fly apart (their separation if essentially infinite) due to their electric repulsion. If (immediately after the fission) we assume that the palladium nuclei are at rest and are just touching each other, what is their combined kinetic energy when they are very far apart? [Hint: Use the conservation of mechanical energy equation.]
(b)Consider two charges of charge -3e-09 C nailed in place on the y-axis straddling the origin (one charge 0.006 m above the origin and one charge 0.006 m below the origin). A proton is at the origin and it is launched directly to the right (along the x-axis).
i.What is the escape speed (in m/s) of the proton (middle charge)? (Again, assume the two outer charges are fixed in place)
a)1.14e+06 b)4.28e+06 c)5.12e+05 d)1.97e+06 e)1.31e+06 f)2.77e+06
ii.If the proton (middle charge) is launch with half of the escape speed, how far away (in m) from its starting point will it stop and turn around?
a)0.00794 b)0.00460 c)0.0112 d)0.0173 e)0.00529 f)0.00206
Please answer both parts kindly, i will highly appreciate it!
(13)
Particles 1 and 2 have the same magnitude of charge but opposite in
-q2 = 7.36 nC. However, mı > m2
sign: q1
14.9 µg such that particle
1 can be regarded as stationary in their electrical interaction. Suppose that
they are initially separated by a distance of 1.71 cm. The magnitude of
the escape velocity of particle 2 needed to escape from the pull of particle
1 to infinity is most nearly
(A) 87.5 m/s.
(B) 61.9 m/s.
(C) 75.8 m/s.
(D) 43.7 m/s.
(E) 30.9 m/s.
Chapter 23 Solutions
Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
Ch. 23.2 - CHAPTER-OPENING QUESTIONGuess now! Consider a pair...Ch. 23.2 - On a dry day, a person can become electrically...Ch. 23.3 - What is the potential at a distance of 3.0cm from...Ch. 23.3 - Consider the three pairs of charges, Q1, and Q2,...Ch. 23.8 - Prob. 1EECh. 23.8 - The kinetic energy of a 1000-kg automobile...Ch. 23 - If two points are at the same potential, does this...Ch. 23 - If a negative charge is initially at rest in an...Ch. 23 - State clearly the difference (a) between electric...Ch. 23 - An electron is accelerated by a potential...
Ch. 23 - Can a particle ever move from a region of low...Ch. 23 - If V = 0 at a point in space, must E=0? If E=0 at...Ch. 23 - When dealing with practical devices, we often take...Ch. 23 - Can two equipotential lines cross? Explain.Ch. 23 - Draw in a few equipotential lines in Fig, 2134b...Ch. 23 - What can you say about the electric field in a...Ch. 23 - A satellite orbits the Earth along a gravitational...Ch. 23 - Suppose the charged ring of Example 238 was not...Ch. 23 - Consider a metal conductor in the shape of a...Ch. 23 - Equipotential lines are spaced 1.00 V apart. Does...Ch. 23 - A conducting sphere carries a charge Q and a...Ch. 23 - At a particular location, the electric field...Ch. 23 - Equipotential lines are spaced 1.00 V apart. Does...Ch. 23 - If the electric field E is uniform in a region,...Ch. 23 - Is the electric potential energy of two unlike...Ch. 23 - (I) What potential difference is needed to stop an...Ch. 23 - (I) How much work does the electric field do in...Ch. 23 - (I) An electron acquires 5.25 1016 J of kinetic...Ch. 23 - (II) The work done by an external force to move a...Ch. 23 - (I) Thunderclouds typically develop voltage...Ch. 23 - (I) The electric field between two parallel plates...Ch. 23 - (I) What is the maximum amount of charge that a...Ch. 23 - (I) What is the magnitude of the electric field...Ch. 23 - (I) What minimum radius must a large conducting...Ch. 23 - (II) A manufacturer claims that a carpet will not...Ch. 23 - (II) A uniform electric field E=4.20N/Ci points in...Ch. 23 - (II) The electric potential of a very large...Ch. 23 - (II) The Earth produces an inwardly directed...Ch. 23 - (II) A 32-cm-diameter conducting sphere is charged...Ch. 23 - (II) An insulated spherical conductor of radius r1...Ch. 23 - (II) Determine the difference in potential between...Ch. 23 - (II) Suppose the end of your finger is charged....Ch. 23 - (II) Estimate the electric field in the membrane...Ch. 23 - (II) A nonconducting sphere of radius r0 carries a...Ch. 23 - (III) Repeat Problem 19 assuming the charge...Ch. 23 - (III) The volume charge density E within a sphere...Ch. 23 - (III) A hollow spherical conductor, carrying a net...Ch. 23 - (III) A very long conducting cylinder (length ) of...Ch. 23 - (I) A point charge Q creates an electric potential...Ch. 23 - (I) (a) What is the electric potential 0.50 1010...Ch. 23 - (a) Because of the inverse square nature of the...Ch. 23 - (II) +25C point charge is placed 6.0 cm from an...Ch. 23 - (II) Point a is 26 cm north of a 3.8 C point...Ch. 23 - (II) How much voltage must be used to accelerate a...Ch. 23 - (II) Two identical +5.5 C point charges are...Ch. 23 - (II) An electron starts from rest 42.5cm from a...Ch. 23 - (II) Two equal but opposite charges are separated...Ch. 23 - (II) A thin circular ring of radius R (as in Fig....Ch. 23 - (II) Three point charges are arranged at the...Ch. 23 - (II) A flat ring of inner radius R1 and outer...Ch. 23 - (II) A total charge Q is uniformly distributed on...Ch. 23 - (II) A 12.0-cm-radius thin ring carries a...Ch. 23 - (II) A thin rod of length 2 is centered on the x...Ch. 23 - (II) Determine the potential V(x) for points along...Ch. 23 - (III) The charge on the rod of Fig. 2331 has a...Ch. 23 - (III) Suppose the flat circular disk of Fig. 2315...Ch. 23 - (I) Draw a conductor in the shape of a football....Ch. 23 - (II) Equipotential surfaces are to be drawn 100 V...Ch. 23 - (II) A metal sphere of radius r0 = 0.44 m carries...Ch. 23 - (II) Calculate the electric potential due to a...Ch. 23 - (III) The dipole moment, considered as a vector,...Ch. 23 - (I) Show that the electric field of a single point...Ch. 23 - (I) What is the potential gradient just outside...Ch. 23 - (II) The electric potential between two parallel...Ch. 23 - () The electric potential in a region of space...Ch. 23 - (II) In a certain region of space, the electric...Ch. 23 - (II) A dust particle with mass of 0.050 g and a...Ch. 23 - (III) Use the results or Problems 38 and 39 to...Ch. 23 - (I) How much work must be done to bring three...Ch. 23 - (I) What potential difference is needed to give a...Ch. 23 - (I) What is the speed of (a) a 1.5-keV (kinetic...Ch. 23 - (II) Many chemical reactions release energy....Ch. 23 - (II) An alpha particle (which is a helium nucleus,...Ch. 23 - (II) Write the total electrostatic potential...Ch. 23 - (II) Four equal point charges, Q, are fixed at the...Ch. 23 - (II) An electron starting from rest acquires 1.33...Ch. 23 - (II) Determine the total electrostatic potential...Ch. 23 - (II) The liquid-drop model of the nucleus suggests...Ch. 23 - (III) Determine the total electrostatic potential...Ch. 23 - (I) Use the ideal gas as a model to estimate the...Ch. 23 - (III) Electrons are accelerated by 6.0kV in a CRT....Ch. 23 - (III) In a given CRT, electrons are accelerated...Ch. 23 - If the electrons in a single raindrop, 3.5 mm in...Ch. 23 - By rubbing a nonconducting material, a charge of...Ch. 23 - Sketch the electric field and equipotential lines...Ch. 23 - A +33 C point charge is placed 36 cm from an...Ch. 23 - At each corner of a cube of side there is a point...Ch. 23 - In a television picture tube (CRT), electrons are...Ch. 23 - Four point charges are located at the corners of a...Ch. 23 - In a photocell, ultraviolet (UV) light provides...Ch. 23 - An electron is accelerated horizontally from rest...Ch. 23 - Three charges are at the corners of an equilateral...Ch. 23 - Near the surface of the Earth there is an electric...Ch. 23 - A lightning flash transfers 4.0 C of charge and...Ch. 23 - Determine the components of the electric field. Ex...Ch. 23 - A nonconducting sphere of radius r2 contains a...Ch. 23 - A thin flat nonconducting disk, with radius R0 and...Ch. 23 - A Geiger counter is used to detect charged...Ch. 23 - A Van de Graaff generator (Fig. 2341) can develop...Ch. 23 - The potential in a region of space is given by V =...Ch. 23 - A charge q1 of mass m rests on the y axis at a...Ch. 23 - (II) A dipole is composed of a 1.0 nC charge at x...Ch. 23 - (II) A thin flat disk of radius R0 carries a total...Ch. 23 - (III) You are trying to determine an unknown...
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