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Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Textbook Question
Chapter 27, Problem 24PQ
An arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 × 10−5 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor?
Figure P27.23 Problems 23 and 24.
Expert Solution & Answer
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A block of mass m₁
=
10.0 kg is connected to a block of mass m₂
34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
Vm1
×
1.32
Vm2
= 1.32
×
m/s
m/s
A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
m/s
Vm1
Vm2
m/s
mi
m2
k
i
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
support any additional load. Consider a leaf spring constant of 5.45 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y = 0.500 m.
Truck body
Dyo
Axle
(a) What is the compression of the leaf spring for a load of 4.90 × 105 N?
m
(b) How much work is done compressing the springs?
]
Chapter 27 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 27.1 - CASE STUDY How Big a Spring? Imagine the ring in...Ch. 27.2 - Consider two different capacitors, A and B. Figure...Ch. 27.2 - a. If capacitor B in Figure 27.8 has a charge of...Ch. 27.3 - Explain why electrons stop flowing when the...Ch. 27.3 - A large parallel-plate capacitor is attached to a...Ch. 27.4 - CASE STUDY Capacitors for a Thompson coil The...Ch. 27.7 - An X-ray tube at a dentists office produces X-rays...Ch. 27 - CASE STUDY Concept Exercise 27.1 (page 829), we...Ch. 27 - Prob. 2PQCh. 27 - In Franklins time, a device for storing electric...
Ch. 27 - The first Leyden jar was probably discovered by a...Ch. 27 - Prob. 5PQCh. 27 - According to UE=12C(V)2 (Eq. 27.3), a greater...Ch. 27 - In Figure P27.7, capacitor 1 (C1 = 20.0 F)...Ch. 27 - Prob. 8PQCh. 27 - A 4.50-F capacitor is connected to a battery for a...Ch. 27 - Prob. 10PQCh. 27 - Prob. 11PQCh. 27 - Prob. 12PQCh. 27 - Prob. 13PQCh. 27 - When a Leyden jar is charged by a hand generator...Ch. 27 - Prob. 15PQCh. 27 - A 6.50-F capacitor is connected to a battery. What...Ch. 27 - A pair of capacitors with capacitances CA = 3.70 F...Ch. 27 - Two 1.5-V batteries are required in a flashlight....Ch. 27 - Two capacitors have capacitances of 6.0 F and 3.0...Ch. 27 - Prob. 20PQCh. 27 - Calculate the equivalent capacitance between...Ch. 27 - Prob. 22PQCh. 27 - Given the arrangement of capacitors in Figure...Ch. 27 - An arrangement of capacitors is shown in Figure...Ch. 27 - Prob. 25PQCh. 27 - Prob. 26PQCh. 27 - Find the equivalent capacitance for the network...Ch. 27 - Prob. 28PQCh. 27 - The capacitances of three capacitors are in the...Ch. 27 - For the four capacitors in the circuit shown in...Ch. 27 - The separation between the 4.40-cm2 plates of an...Ch. 27 - A spherical capacitor is made up of two concentric...Ch. 27 - A Derive an expression for the capacitance of an...Ch. 27 - Prob. 34PQCh. 27 - Prob. 35PQCh. 27 - Prob. 36PQCh. 27 - Prob. 37PQCh. 27 - Prob. 38PQCh. 27 - Review One of the plates of a parallel-plate...Ch. 27 - Prob. 40PQCh. 27 - Prob. 41PQCh. 27 - A 56.90-pF cylindrical capacitor carries a charge...Ch. 27 - Prob. 43PQCh. 27 - Prob. 44PQCh. 27 - Prob. 45PQCh. 27 - Prob. 46PQCh. 27 - The plates of an air-filled parallel-plate...Ch. 27 - Prob. 48PQCh. 27 - Prob. 49PQCh. 27 - Prob. 50PQCh. 27 - Prob. 51PQCh. 27 - Prob. 52PQCh. 27 - Prob. 53PQCh. 27 - A parallel-plate capacitor with an air gap has...Ch. 27 - A parallel-plate capacitor with plates of area A =...Ch. 27 - Prob. 56PQCh. 27 - Prob. 57PQCh. 27 - Prob. 58PQCh. 27 - Prob. 59PQCh. 27 - Prob. 60PQCh. 27 - Find an expression for the electric field between...Ch. 27 - An air-filled parallel-plate capacitor is charged...Ch. 27 - Two Leyden jars are similar in size and shape, but...Ch. 27 - Prob. 64PQCh. 27 - Nerve cells in the human body and in other animals...Ch. 27 - Prob. 66PQCh. 27 - Prob. 67PQCh. 27 - Prob. 68PQCh. 27 - Prob. 69PQCh. 27 - Prob. 70PQCh. 27 - What is the maximum charge that can be stored on...Ch. 27 - Prob. 72PQCh. 27 - In a laboratory, you find a 9.00-V battery and a...Ch. 27 - Prob. 74PQCh. 27 - Figure P27.75 shows four capacitors with CA = 4.00...Ch. 27 - Prob. 76PQCh. 27 - Prob. 77PQCh. 27 - A parallel-plate capacitor with plates of area A...Ch. 27 - Prob. 79PQCh. 27 - Prob. 80PQCh. 27 - A 90.0-V battery is connected to a capacitor with...Ch. 27 - Consider an infinitely long network with identical...Ch. 27 - Prob. 83PQCh. 27 - What is the equivalent capacitance of the five...Ch. 27 - The circuit in Figure P27.85 shows four capacitors...Ch. 27 - Prob. 86PQCh. 27 - A Pairs of parallel wires or coaxial cables are...Ch. 27 - A parallel-plate capacitor has square plates of...
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