Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 23, Problem 64AP
(a)
To determine
The tension in the string.
(b)
To determine
The distance between the charges before the string breaks.
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Consider the two small, equal-mass, charged spheres shown in the figure. The top sphere is suspended from the ceiling by a thread, and has a charge of
q1 = 28.6 nC.
The bottom sphere has a charge of
q2 = −58.0 nC,
and is directly below the top sphere. Assume
d = 2.00 cm
and
m = 6.90 g.
A rope hangs vertically down from a ceiling with a positive charge q1 at its end. Negative charge q2 is a distance ddirectly below q1.
(a)
Calculate the tension (in N) in the thread.
N
(b)
If the thread can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the thread breaks? (Give your answer in cm.)
cm
A small sphere of charge q1 = 0.800 μC hangs from the end of a spring as in FigureP22.32a. When another small sphere of charge q2 = −0.600 μC is held beneath the firstsphere as in Figure P22.32b, the spring stretches by d = 3.50 cm from its originallength and reaches a new equilibrium position with a separation between the chargesof r = 5.00 cm. What is the force constant of the spring?Figure P22.32
A small sphere of mass m = 6.40 g and charge q1 = 28.7 nC is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge q2 = −58.0 nC is located below the first charge a distance d = 2.00 cm below the first charge as in the figure.
A rope hangs vertically down from a ceiling with positive charge q1 at its end. Negative charge q2 is a distance d directly below q1.
(a) Find the tension in the string. N(b) If the string can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the string breaks? cm
Chapter 23 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 23.1 - Three objects are brought close to each other, two...Ch. 23.2 - Three objects are brought close to one another,...Ch. 23.3 - Object A has a charge of +2 C, and object B has a...Ch. 23.4 - A test charge of +3 C is at a point P where an...Ch. 23.6 - Rank the magnitudes of the electric field at...Ch. 23 - Prob. 1OQCh. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - Prob. 4OQCh. 23 - Prob. 5OQ
Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - Prob. 9OQCh. 23 - Prob. 10OQCh. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - Prob. 13OQCh. 23 - Prob. 14OQCh. 23 - Prob. 15OQCh. 23 - Prob. 1CQCh. 23 - A charged comb often attracts small bits of dry...Ch. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Find to three significant digits the charge and...Ch. 23 - Prob. 2PCh. 23 - Prob. 3PCh. 23 - Prob. 4PCh. 23 - In a thundercloud, there may be electric charges...Ch. 23 - (a) Find the magnitude of the electric force...Ch. 23 - Prob. 7PCh. 23 - Nobel laureate Richard Feynman (19181088) once...Ch. 23 - A 7.50-nC point charge is located 1.80 m from a...Ch. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - Prob. 12PCh. 23 - Prob. 13PCh. 23 - Prob. 14PCh. 23 - Prob. 15PCh. 23 - Prob. 16PCh. 23 - Review. In the Bohr theory of the hydrogen atom,...Ch. 23 - Prob. 18PCh. 23 - Prob. 19PCh. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Why is the following situation impossible? Two...Ch. 23 - Prob. 23PCh. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - Prob. 27PCh. 23 - Prob. 28PCh. 23 - Prob. 29PCh. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Two charged particles are located on the x axis....Ch. 23 - Prob. 33PCh. 23 - Two 2.00-C point charges are located on the x...Ch. 23 - Prob. 35PCh. 23 - Consider the electric dipole shown in Figure...Ch. 23 - A rod 14.0 cm long is uniformly charged and has a...Ch. 23 - Prob. 38PCh. 23 - A uniformly charged ring of radius 10.0 cm has a...Ch. 23 - The electric field along the axis of a uniformly...Ch. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - A continuous line of charge lies along the x axis,...Ch. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - A negatively charged rod of finite length carries...Ch. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - A proton accelerates from rest in a uniform...Ch. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Protons are projected with an initial speed vi =...Ch. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 23 - Prob. 58APCh. 23 - Consider an infinite number of identical...Ch. 23 - A particle with charge 3.00 nC is at the origin,...Ch. 23 - Prob. 61APCh. 23 - Prob. 62APCh. 23 - Prob. 63APCh. 23 - Prob. 64APCh. 23 - Prob. 65APCh. 23 - Prob. 66APCh. 23 - Prob. 67APCh. 23 - Prob. 68APCh. 23 - Prob. 69APCh. 23 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 23 - Prob. 71APCh. 23 - Prob. 72APCh. 23 - Two small spheres hang in equilibrium at the...Ch. 23 - Prob. 74APCh. 23 - Prob. 75APCh. 23 - Prob. 76APCh. 23 - Prob. 77APCh. 23 - Prob. 78APCh. 23 - Prob. 79APCh. 23 - Prob. 80APCh. 23 - Prob. 81APCh. 23 - Prob. 82APCh. 23 - Prob. 83APCh. 23 - Identical thin rods of length 2a carry equal...Ch. 23 - Prob. 85CPCh. 23 - Prob. 86CPCh. 23 - Prob. 87CPCh. 23 - Prob. 88CPCh. 23 - Prob. 89CPCh. 23 - Prob. 90CPCh. 23 - Two particles, each with charge 52.0 nC, are...
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- In Figure P24.49, a charged particle of mass m = 4.00 g and charge q = 0.250 C is suspended in static equilibrium at the end of an insulating thread that hangs from a very long, charged, thin rod. The thread is 12.0 cm long and makes an angle of 35.0 with the vertical. Determine the linear charge density of the rod. FIGURE P24.49arrow_forwardA 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_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 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_forwardThree small metallic spheres with identical mass m and identical charge +q are suspended by light strings from the same point (Fig. P23.55). The left-hand and right-hand strings have length L and make an angle with the vertical. What is the value of q in terms of k, g, m, L, and ? Figure P23.55arrow_forwardTwo 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_forward
- A 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_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
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