Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 5.4, Problem 2dT
Suppose the particle travels from point W to point Y along the path WXZY as shown
1. Compare the work done by the electric field when the particle travels from point W to point X to that done when the particle travels from point Z to point Y. Explain
What is the total work done on the particle by the electric field as it moves along the path WXZY?
2. Suppose the particle travels from W to Y along the arc shown. Is the work done on the particle by the electric field positive, negative, or zero? Explain using force and displacement vectors.
3. Suppose the particle travels along the straight path WY. Is the work done on the particle by the electric field positive, negative, or Zero? Explain using force and displacement vectors. (Hint: Compare the work done along the first half of the path to the work done along the second half.)
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Learning Goal:
To understand the relationship and differences
between electric potential and electric potential
energy.
In this problem we will learn about the relationships
between electric force F, electric field
Ē,
potential
energy U, and electric potential V. To understand
these concepts, we will first study a system with
which you are already familiar: the uniform
gravitational field.
Part B
Now find the gravitational potential energy U (z) of the object when it is at an arbitrary height z. Take zero potential to be
at position z = 0. Keep in mind that the potential energy is a scalar, not a vector.
Express U (2) in terms of m, z, and g.
U (z) =
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Chapter 5 Solutions
Tutorials in Introductory Physics
Ch. 5.1 - Press a piece of sticky tape, about 15-20 cm in...Ch. 5.1 - B. Make another piece of tape a described above....Ch. 5.1 - Each member of your group should press a tape onto...Ch. 5.1 - Obtain an acrylic rod and a piece of wool or fur....Ch. 5.1 - Base your answers to the following questions on...Ch. 5.1 - Two positive point charges +q and +Q (with Qq )...Ch. 5.1 - Two more +Q charges are held in place the same...Ch. 5.1 - Rank the four cases below according to the...Ch. 5.1 - Charge an acrylic rod by rubbing it with wool....Ch. 5.1 - Hold the charges rod horizontally. Use a charges...
Ch. 5.1 - Imagine that two charged rods are held together as...Ch. 5.1 - Five short segments (labeled 1-5) of acrylic rod...Ch. 5.1 - In case A at right, a point Charge +q is a...Ch. 5.1 - A small ball with zero net charge is positively...Ch. 5.1 - Hang an uncharged metal or metal-covered ball from...Ch. 5.1 - The situation in part A suggests a way to think...Ch. 5.2 - Hold a small piece of paper (e.g., an index card)...Ch. 5.2 - The area of a flat surface can be represented by a...Ch. 5.2 - Place a large piece of graph paper flat on the...Ch. 5.2 - Fold the graph paper twice so that it forms a...Ch. 5.2 - Form the graph paper into a tube as shown. Can the...Ch. 5.2 - What must be true about a surface or a portion of...Ch. 5.2 - In the tutorial Charge, you explored the region...Ch. 5.2 - Suppose that the charge, qtest , on the pith ball...Ch. 5.2 - The quantity F/qtest evaluated at any point is...Ch. 5.2 - Sketch vectors at each of the marked points to...Ch. 5.2 - The diagram at right shows a two-dimensional top...Ch. 5.2 - Compare the magnitude of the electric field at...Ch. 5.2 - Obtain a wire loop. The Loop represents the...Ch. 5.2 - For a given surface, the electric flux, E , is...Ch. 5.2 - You will now examine the relationship between the...Ch. 5.2 - When EandA were parallel, we called the quantity...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - Are your answer to part A-C of section I...Ch. 5.3 - In part D of section I, you tried to determine the...Ch. 5.3 - Find the net flux through each of the Gaussian...Ch. 5.3 - The three spherical Gaussian surfaces at right...Ch. 5.3 - A large sheet has charge density +o . A...Ch. 5.3 - The Gaussian cylinder below encloses a portion of...Ch. 5.4 - Suppose an object moves under the influence of a...Ch. 5.4 - An object travels from point A to point B while...Ch. 5.4 - An object travels from point A to point B while...Ch. 5.4 - State the work-energy theorem in your own words....Ch. 5.4 - Draw electric field vectors at point W, X, Y, and...Ch. 5.4 - A particle with charge +qo , travels along a...Ch. 5.4 - The particle travels from point X to point Z along...Ch. 5.4 - Suppose the particle travels from point W to point...Ch. 5.4 - Compare the work done as the particle travels from...Ch. 5.4 - Suppose the charge of the particle in section II...Ch. 5.4 - Shown at right are four Points near a positively...Ch. 5.5 - A small portion near the center of a large thin...Ch. 5.5 - Use the principle of superposition to determine...Ch. 5.5 - Use the principle of superposition to determine...Ch. 5.5 - Consider instead a portion near the center of a...Ch. 5.5 - A second plate with the same magnitude charge as...Ch. 5.5 - The inner surface of one plate has a uniform...Ch. 5.5 - B. Suppose the plates are discharged, then held a...Ch. 5.5 - Compare the ratio QV that you calculated for two...Ch. 5.5 - For the following cases, state whether each of the...
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