Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 20, Problem 58P
Two 38.0-μC charges are attached to opposite ends of a spring with spring constant k = 145 N/m and equilibrium length 52.6 cm. By how much does the spring stretch? Hint: You’ll need to use a computer or advanced calculator to solve the cubic equation that arises in this problem.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 20 Solutions
Essential University Physics
Ch. 20.1 - The proton is a composite particle composed of...Ch. 20.2 - Charge q1 is located at x = 1 m, y = 0. What...Ch. 20.3 - A positive point charge is located at the origin...Ch. 20.4 - Far from a charge distribution, you measure an...Ch. 20.5 - An electron, a proton, a deuteron (a neutron...Ch. 20 - Conceptual Example 20.1 shows that the...Ch. 20 - A free neutron is unstable and soon decays to...Ch. 20 - Where in Fig. 20.5 could you put a third charge so...Ch. 20 - Equation 20.3 gives the electric field of a point...Ch. 20 - Is the electric force on a charged particle always...
Ch. 20 - Why does a dipole, which has no net charge,...Ch. 20 - The ring in Example 20.6 carries total charge Q,...Ch. 20 - A spherical balloon is initially uncharged. If you...Ch. 20 - Why should there be a force between two dipoles,...Ch. 20 - Dipoles A and B are both located in the field of a...Ch. 20 - Suppose the electron and proton charges differed...Ch. 20 - A typical lightning flash delivers about 25 C of...Ch. 20 - Protons and neutrons are made from combinations of...Ch. 20 - Earth carries a net charge of about 5 105 C. How...Ch. 20 - As they fly, honeybees may acquire electric...Ch. 20 - The electron and proton in a hydrogen atom are...Ch. 20 - An electron at Earths surface experiences a...Ch. 20 - You break a piece of Styrofoam packing material,...Ch. 20 - A charge q is at the point x = 1 m, y = 0 m. Write...Ch. 20 - A proton is at the origin and an electron is at...Ch. 20 - An electron experiences an electric force of 0.61...Ch. 20 - Find the magnitude of the electric force on a...Ch. 20 - A 68-nC charge experiences a 150-mN force in a...Ch. 20 - The electric field inside a cell membrane is 8.0...Ch. 20 - A 1.0-C charge experiences a 10-N electric force...Ch. 20 - The electron in a hydrogen atom is 52.9 pm from...Ch. 20 - In Fig. 20.28, point P is midway between the two...Ch. 20 - The water molecule’s dipole moment is 6.17 × 10–30...Ch. 20 - The electric field 22 cm from a long wire carrying...Ch. 20 - Find the line charge density on a long wire if the...Ch. 20 - Find the magnitude of the electric field due to a...Ch. 20 - In his famous 1909 experiment that demonstrated...Ch. 20 - How strong an electric field is needed to...Ch. 20 - A proton moving to the right at 3.8l05m/s enters a...Ch. 20 - An electrostatic analyzer like that of Example...Ch. 20 - Example 20.2: Charge on raindrops vary widely in...Ch. 20 - Example 20.2: Suppose that all three raindrops in...Ch. 20 - Example 20.2: (a) Repeat Example 20.2 to find the...Ch. 20 - Example 20.2: (a) Use calculus to show that the...Ch. 20 - Example 20.7: A 1.00-km length of power line...Ch. 20 - Example 20.7: A uniformly charged wire is 2.18 m...Ch. 20 - Example 20.7: A thin rod of length L lies on the...Ch. 20 - Example 20.7: A thin rod of length L lies on the...Ch. 20 - Two charges, one whose magnitude is twice as large...Ch. 20 - A proton is on the x-axis at x = 1.6 nm. An...Ch. 20 - A charge 3q is at the origin, and a charge 2q is...Ch. 20 - A negative charge q lies midway between two...Ch. 20 - In Fig. 20.29, take q1 = 68 C, q2 = 34 C, and q3 =...Ch. 20 - FIGURE 20.20 Problems 44 and 45 45. In Fig. 20.29,...Ch. 20 - DNA fragments introduced into an electrophoresis...Ch. 20 - A proton is at the origin and an ion is at x = 5.0...Ch. 20 - Four equal charges Q are at the comers of a square...Ch. 20 - A dipole lies on the y-axis and consists of an...Ch. 20 - Show that the field on the x-axis for the dipole...Ch. 20 - Youre 1.44 m from a charge distribution that is...Ch. 20 - Three identical charges q form an equilateral...Ch. 20 - Two identical small metal spheres initially carry...Ch. 20 - Two 38.0-C charges are attached to opposite ends...Ch. 20 - A positive charge Q is located at the origin, and...Ch. 20 - An electron is moving in a circular path around a...Ch. 20 - Find the line charge density on a long wire if a...Ch. 20 - A dipole with dipole moment 1.5 nCm is oriented at...Ch. 20 - You have a job examining patent applications....Ch. 20 - A 5.0-m strand of DNA carries charge +e per nm of...Ch. 20 - Heating in a microwave oven occurs as water...Ch. 20 - A dipole with charges q and separation 2a is...Ch. 20 - Youre taking physical chemistry, and your...Ch. 20 - The electric field on the axis of a uniformly...Ch. 20 - An electric quadrupole consists of two oppositely...Ch. 20 - Four charges lie at the corners of a square of...Ch. 20 - A straight wire 10 m long carries 25 C distributed...Ch. 20 - Two thin rods, each of length a, lie along the...Ch. 20 - Figure 20.35 shows a thin, uniformly charged disk...Ch. 20 - Use the result of Problem 73 to show that the...Ch. 20 - Use the binomial theorem to show that, for x R,...Ch. 20 - A semicircular loop of radius a carries positive...Ch. 20 - A thin rod carries charge Q distributed uniformly...Ch. 20 - A thin rod extends along the x-axis from x = 0 to...Ch. 20 - Youre working on the design of an ink-jet printer....Ch. 20 - BIO The human heart consists largely of elongated...Ch. 20 - At a given distance, far from the heart compared...Ch. 20 - The difference between Figs. 20.38a and 20.38b...Ch. 20 - At the instant shown in Fig. 20.38c, theres an...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Radiometric dating now allows us to determine Earth’s age to an accuracy of about (a) a billion years; (b) 10 m...
Life in the Universe (4th Edition)
Choose the best answer to each of the following. Explain your reasoning. The solar nebula was 98% (a) rock and ...
The Cosmic Perspective Fundamentals (2nd Edition)
What gas molecules are primarily responsible for the absorption of each of the following types of light in our ...
Lecture- Tutorials for Introductory Astronomy
1. A railroad car loaded with rocks coasts on a level track without friction. A worker at the back of the car s...
Physics: Principles with Applications
The setup depicted in Figure 4.6 is used in a diffraction experiment using X-rays of 0.26 nm wavelength. Constr...
Modern Physics
What is the effect on the current in a wire if the voltage is doubled and the resistance is halved? If the volt...
Conceptual Integrated Science
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A very small ball has a mass of 5.00 103 kg and a charge of 4.00 C. What magnitude electric field directed upward will balance the weight of the ball so that the ball is suspended motionless above the ground? (a) 8.21 102 N/C (b) 1.22 104 N/C (c) 2.00 102 N/C (d) 5.11 106 N/C (e) 3.72 103 N/Carrow_forwardA sphere has a net charge of 8.05 nC, and a negatively charged rod has a charge of 6.03 nC. The sphere and rod undergo a process such that 5.00 109 electrons are transferred from the rod to the sphere. What are the charges of the sphere and the rod after this process?arrow_forwardAn electron with a speed of 3.00 106 m/s moves into a uniform electric field of magnitude 1.00 103 N/C. The field lines are parallel to the electrons velocity and pointing in the same direction as the velocity. How far does the electron travel before it is brought to rest? (a) 2.56 cm (b) 5.12 cm (c) 11.2 cm (d) 3.34 m (e) 4.24 marrow_forward
- A small sphere of charge q1 = 0.800 C hangs from the end of a spring as in Figure P22.32a. When another small sphere of charge q2 = 0.600 C 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 P22.32arrow_forwardThe fundamental charge is e = 1.60 1019 C. Identify whether each of the following statements is true or false. (a) Its possible to transfer electric charge to an object so that its net electric charge is 7.5 times the fundamental electric charge, e. (b) All protons have a charge of +e. (c) Electrons in a conductor have a charge of e while electrons in an insulator have no charge.arrow_forwardThe fundamental charge is e = 1.60 1019 C. Identify whether each of the following statements is true or false. (a) Its possible to transfer electric charge to an object so that its net electric charge is 7.5 times the fundamental electric charge, e. (b) All protons have a charge of +e. (c) Electrons in a conductor have a charge of e while electrons in an insulator have no charge.arrow_forward
- (a) Find the total Coulomb force on a charge of 2.00 nC located at x = 4.00 cm in Figure 18.52 (b): given that q = 1,00C . (b) Find the x-position at which the electric field is zero in Figure 18.52 (b).arrow_forwardA proton is located at the origin, and a second proton is located on the x-axis at x = 6.00 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. (b) An alpha particle (charge = 2e, mass = 6.64 1027 kg) is now placed at (x, y) = (3.00, 3.00) fm. Calculate the electric potential energy associated with this configuration. (c) Starting with the three-particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. (e) If the two protons are released from rest and the alpha panicle remains fixed, calculate the speed of the protons at infinity.arrow_forwardA point charge of 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, 2.00) m? (a) 1.15 N/C (b) 0.864 N/C (c) 1.44 N/C (d) 1.15 N/C (e) 0.864 N/Carrow_forward
- Two 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_forwardIdentical thin rods of length 2a carry equal charges +Q uniformly distributed along their lengths. The rods lie along the x axis with their centers separated by a distance b 2a (Fig. P23.30). Show that the magnitude of the force exerted by the left rod on the right one is F=(keQ24a2)ln(b2b24a2) Figure P23.50arrow_forwardA proton and an alpha particle (charge = 2e, mass = 6.64 1027 kg) are initially at rest, separated by 4.00 1015 m. (a) If they are both released simultaneously, explain why you cant find their velocities at infinity using only conservation of energy. (b) What other conservation law can be applied in this case? (c) Find the speeds of the proton and alpha particle, respectively, at infinity.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY