Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 32AP
A small sphere of charge q1 = 0.800 μC hangs from the end of a spring as in Figure P22.32a. When another small sphere of charge q2 = −0.600 μC is held beneath the first sphere as in Figure P22.32b, the spring stretches by d = 3.50 cm from its original length and reaches a new equilibrium position with a separation between the charges of r = 5.00 cm. What is the force constant of the spring?
Figure P22.32
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Physics for Scientists and Engineers with Modern Physics
Ch. 22.1 - Three objects are brought close to each other, two...Ch. 22.2 - Three objects are brought close to one another,...Ch. 22.3 - Object A has a charge of +2 C, and object B has a...Ch. 22.4 - A test charge of +3 C is at a point P where an...Ch. 22.5 - Rank the magnitudes of the electric field at...Ch. 22 - Find to three significant digits the charge and...Ch. 22 - (a) Find the magnitude of the electric force...Ch. 22 - In a thundercloud, there may be electric charges...Ch. 22 - Nobel laureate Richard Feynman (19181088) once...Ch. 22 - A 7.50-nC point charge is located 1.80 m from a...
Ch. 22 - This afternoon, you have a physics symposium...Ch. 22 - Two small beads having positive charges q1 = 3q...Ch. 22 - Two small beads having charges q1 and q2 of the...Ch. 22 - Review. In the Bohr theory of the hydrogen atom,...Ch. 22 - Three point charges lie along a straight line as...Ch. 22 - A point charge +2Q is at the origin and a point...Ch. 22 - Prob. 12PCh. 22 - Review. Two identical particles, each having...Ch. 22 - Why is the following situation impossible? Two...Ch. 22 - Prob. 15PCh. 22 - Consider n equal positively charged particles each...Ch. 22 - Two equal positively charged particles are at...Ch. 22 - Two charged particles are located on the x axis....Ch. 22 - Three point charges are located on a circular arc...Ch. 22 - Two 2.00-C point charges are located on the x...Ch. 22 - Three point charges are arranged as shown in...Ch. 22 - Consider the electric dipole shown in Figure...Ch. 22 - Three equal positive charges q are at the corners...Ch. 22 - A proton accelerates from rest in a uniform...Ch. 22 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 22 - Protons are projected with an initial speed vi =...Ch. 22 - You are still fascinated by the process of inkjet...Ch. 22 - You are working on a research project in which you...Ch. 22 - Consider an infinite number of identical...Ch. 22 - A particle with charge 3.00 nC is at the origin,...Ch. 22 - A small block of mass m and charge Q is placed on...Ch. 22 - A small sphere of charge q1 = 0.800 C hangs from...Ch. 22 - A charged cork ball of mass 1.00 g is suspended on...Ch. 22 - A charged cork ball of mass m is suspended on a...Ch. 22 - Three charged particles are aligned along the x...Ch. 22 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 22 - Two small spheres hang in equilibrium at the...Ch. 22 - Four identical charged particles (q = +10.0 C) are...Ch. 22 - Prob. 39APCh. 22 - Prob. 40APCh. 22 - Three identical point charges, each of mass m =...Ch. 22 - Prob. 42APCh. 22 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 22 - Two identical beads each have a mass m and charge...Ch. 22 - Prob. 45APCh. 22 - Prob. 46APCh. 22 - Prob. 47APCh. 22 - Eight charged panicles, each of magnitude q, are...Ch. 22 - Two particles, each with charge 52.0 nC, are...Ch. 22 - Review. An electric dipole in a uniform horizontal...
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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_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_forwardThree charged spheres are at rest in a plane as shown in Figure P23.70. Spheres A and B are fixed, but sphere C is attached to the ceiling by a lightweight thread. The tension in the string is 0.240 N. Spheres A and B have charges qA = 28.0 nC and qB = 28.0 nC. What charge is carried by sphere C?arrow_forward
- A metal sphere with charge +8.00 nC is attached to the left-hand end of a nonconducting rod of length L = 2.00 m. A second sphere with charge +2.00 nC is fixed to the right-hand end of the rod (Fig. P23.53). At what position d along the rod can a charged bead be placed for the bead to be in equilibrium? FIGURE P23.53arrow_forwardTwo small beads having positive charges q1 = 3q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q1 is at the origin. As shown in Figure P19.7, a third small, charged bead is free to slide on the rod. (a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable?arrow_forwardA point charge +2Q is at the origin and a point charge Q is located along the x axis at x = d as in Figure P22.11. Find a symbolic expression for the net force on a third point charge +Q located along the y axis at y = d. Figure P22.11arrow_forward
- Two small spherical conductors are suspended from light-weight vertical insulating threads. The conductors are brought into contact (Fig. P23.50, left) and released. Afterward, the conductors and threads stand apart as shown at right. a. What can you say about the charge of each sphere? b. Use the data given in Figure P23.50 to find the tension in each thread. c. Find the magnitude of the charge on each sphere. Figure P23.50arrow_forwardCharges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43arrow_forwardWhy is the following situation impossible? A solid copper sphere of radius 15.0 cm is in electrostatic equilibrium and carries a charge of 40.0 nC. Figure P24.30 shows the magnitude of the electric field as a function of radial position r measured from the center of the sphere. Figure P24.30arrow_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_forwardEight small conducting spheres with identical charge q = 2.00 C are placed at the corners of a cube of side d = 0.500 m (Fig. P23.75). What is the total force on the sphere at the origin (sphere A) due to the other seven spheres? Figure P23.75arrow_forwardEight charged panicles, each of magnitude q, are located on the corners of a cube of edge s as shown in Figure P22.48. (a) Determine the x, y, and z components of the total force exerted by the other charges on the charge located at point A. What are (b) the magnitude and (c) the direction of this total force? Figure P22.48arrow_forward
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