Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 19, Problem 76P
To determine
To show that the frequency of the particle undergoing
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Chapter 19 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 19.2 - Three objects are brought close to one another,...Ch. 19.3 - Three objects are brought close to one another,...Ch. 19.4 - Object A has a charge of +2 C, and object B has a...Ch. 19.5 - A test charge of +3 C is at a point P where an...Ch. 19.6 - Rank the magnitudes of the electric field at...Ch. 19.9 - If the net flux through a gaussian surface is...Ch. 19.9 - Consider the charge distribution shown in Active...Ch. 19 - A point charge of 4.00 nC is located at (0, 1.00)...Ch. 19 - Charges of 3.00 nC, 2.00 nC, 7.00 nC, and 1.00 nC...Ch. 19 - An object with negative charge is placed in a...
Ch. 19 - A particle with charge q is located inside a...Ch. 19 - Prob. 5OQCh. 19 - Prob. 6OQCh. 19 - Rank the electric fluxes through each gaussian...Ch. 19 - A circular ring of charge with radius b has total...Ch. 19 - Two solid spheres, both of radius 5 cm, carry...Ch. 19 - An electron with a speed of 3.00 106 m/s moves...Ch. 19 - A very small ball has a mass of 5.00 103 kg and a...Ch. 19 - In which of the following contexts can Gausss law...Ch. 19 - Two point charges attract each other with an...Ch. 19 - Three charged particles are arranged on corners of...Ch. 19 - Assume the charged objects in Figure OQ19.15 are...Ch. 19 - A uniform electric field exists in a region of...Ch. 19 - Prob. 2CQCh. 19 - If more electric field lines leave a gaussian...Ch. 19 - Prob. 4CQCh. 19 - Prob. 5CQCh. 19 - Prob. 6CQCh. 19 - Prob. 7CQCh. 19 - A cubical surface surrounds a point charge q....Ch. 19 - Prob. 9CQCh. 19 - Prob. 10CQCh. 19 - Prob. 11CQCh. 19 - Prob. 12CQCh. 19 - Prob. 13CQCh. 19 - Prob. 14CQCh. 19 - A common demonstration involves charging a rubber...Ch. 19 - Prob. 1PCh. 19 - (a) Calculate the number of electrons in a small,...Ch. 19 - Nobel laureate Richard Feynman (19181088) once...Ch. 19 - Prob. 4PCh. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Two small beads having positive charges q1 = 3q...Ch. 19 - Prob. 8PCh. 19 - Three charged particles are located at the corners...Ch. 19 - Particle A of charge 3.00 104 C is at the origin,...Ch. 19 - Prob. 11PCh. 19 - Prob. 12PCh. 19 - Review. A molecule of DNA (deoxyribonucleic acid)...Ch. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - In Figure P19.17, determine the point (other than...Ch. 19 - Prob. 18PCh. 19 - Three point charges are arranged as shown in...Ch. 19 - Consider the electric dipole shown in Figure...Ch. 19 - A uniformly charged insulating rod of length 14.0...Ch. 19 - Prob. 22PCh. 19 - A rod 14.0 cm long is uniformly charged and has a...Ch. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Three equal positive charges q are at the comers...Ch. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Prob. 32PCh. 19 - A proton accelerates from rest in a uniform...Ch. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Prob. 37PCh. 19 - A particle with charge Q is located a small...Ch. 19 - Prob. 39PCh. 19 - Prob. 40PCh. 19 - A particle with charge Q = 5.00 C is located at...Ch. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - Prob. 45PCh. 19 - A nonconducting wall carries charge with a uniform...Ch. 19 - In nuclear fission, a nucleus of uranium-238,...Ch. 19 - Consider a long, cylindrical charge distribution...Ch. 19 - A 10.0-g piece of Styrofoam carries a net charge...Ch. 19 - An insulating solid sphere of radius a has a...Ch. 19 - A large, flat, horizontal sheet of charge has a...Ch. 19 - A cylindrical shell of radius 7.00 cm and length...Ch. 19 - Consider a thin, spherical shell of radius 14.0 cm...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - A solid conducting sphere of radius 2.00 cm has a...Ch. 19 - A very large, thin, flat plate of aluminum of area...Ch. 19 - A thin, square, conducting plate 50.0 cm on a side...Ch. 19 - A long, straight wire is surrounded by a hollow...Ch. 19 - A square plate of copper with 50.0-cm sides has no...Ch. 19 - Prob. 62PCh. 19 - Prob. 63PCh. 19 - Prob. 64PCh. 19 - Prob. 65PCh. 19 - Why is the following situation impossible? An...Ch. 19 - A small, 2.00-g plastic ball is suspended by a...Ch. 19 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - Two small spheres of mass m are suspended from...Ch. 19 - Two infinite, nonconducting sheets of charge are...Ch. 19 - Consider the charge distribution shown in Figure...Ch. 19 - A solid, insulating sphere of radius a has a...Ch. 19 - Prob. 76PCh. 19 - Prob. 77PCh. 19 - Prob. 78P
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- A Two positively charged particles, each with charge Q, are held at positions (a, 0) and (a, 0) as shown in Figure P23.73. A third positively charged particle with charge q is placed at (0, h). a. Find an expression for the net electric force on the third particle with charge q. b. Show that the two charges Q behave like a single charge 2Q located at the origin when the distance h is much greater than a. Figure P23.73 Problems 73 and 74.arrow_forwardOne end of a light spring with force constant k = 125 N/m is attached to a wall, and the other end to a metal block with charge qA = 2.00 C on a horizontal, frictionless table (Fig. P23.34). A second block with charge qB = 3.60 C is brought close to the first block. The spring stretches as the blocks attract each other so that at equilibrium, the blocks are separated by a distance d = 12.0 cm. What is the displacement x of the spring? Figure P23.34arrow_forwardA uniformly charged ring of radius R = 25.0 cm carrying a total charge of 15.0 C is placed at the origin and oriented in the yz plane (Fig. P24.54). A 2.00-g particle with charge q = 1.25 C, initially at the origin, is nudged a small distance x along the x axis and released from rest. The particle is confined to move only in the x direction. a. Show that the particle executes simple harmonic motion about the origin. b. What is the frequency of oscillation for the particle? Figure P24.54arrow_forward
- A simple pendulum has a small sphere at its end with mass m and charge q. The pendulums rod has length L and its weight is negligible. The pendulum is placed in a uniform electric field of strength E directed vertically upward. What is the period of oscillation of the sphere if the electric force is less than the gravitational force on the sphere? Assume the oscillations are small. FIGURE P24.63arrow_forwardA Figure P23.65 shows two identical conducting spheres, each with charge q, suspended from light strings of length L. If the equilibrium angle the strings make with the vertical is , what is the mass m of the spheres? Figure P23.65arrow_forwardReview. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges 2.00 C and 3.00 C. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (b) What If? If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? Explain.arrow_forward
- Figure P23.49 shows two identical small, charged spheres. One of mass 4.0 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q1 = 3.6 C. The thread makes an angle of 18 with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge q2 on the hanging sphere. Figure P23.49arrow_forwardReview. Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges (Fig. P22.13). (a) Show that if x is small compared with d, the motion of Q is simple harmonic along the perpendicular bisector. (b) Determine the period of that motion. (c) How fast will the charge Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a d from the midpoint? Figure P22.13arrow_forwardFour charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?arrow_forward
- An electroscope is a device used to measure the (relative) charge on an object (Fig. P23.20). The electroscope consists of two metal rods held in an insulated stand. The bent rod is fixed, and the straight rod is attached to the bent rod by a pivot. The straight rod is free to rotate. When a positively charged object is brought close to the electroscope, the straight movable rod rotates. Explain your answers to these questions: a. Why does the rod rotate in Figure P23.20? b. If the positively charged object is removed, what happens to the electroscope? c. If a negatively charged object replaces the positively charged object in Figure P23.20, what happens to the electroscope? d. If a charged object touches the top of the fixed conducting rod and is then removed, what happens to the electroscope?arrow_forwardFour charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.arrow_forwardReview. Two insulating spheres have radii r1 and r2, masses m1 and m2, and uniformly distributed charges q1 and q2. They are released from rest when their centers are separated by a distance d. (a) How fast is each moving when they collide? (b) What If? If the spheres were conductors, would their speeds be greater or less than those calculated in part (a)? Explain.arrow_forward
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