Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 22, Problem 51GP
To determine
Write the gauss law for gravitational field
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Portfolio Problem 3. A ball is thrown vertically upwards with a speed vo
from the floor of a room of height h. It hits the ceiling and then returns to the
floor, from which it rebounds, managing just to hit the ceiling a second time.
Assume that the coefficient of restitution between the ball and the floor, e, is
equal to that between the ball and the ceiling. Compute e.
Portfolio Problem 4. Consider two identical springs, each with natural length
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free ends are attached to the same particle of mass m, which is hanging under
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zontal frame, so that z < 0 when the particle is below the frame, as shown in
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dimensional along z.
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(a) Show that the total force acting on the particle is
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k.
(b) Find the potential energy U(x, y, z) of the system such that U
x = : 0.
= O when
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In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page.
R
Pout
(a) Calculate the maximum value of the emf induced between the ends of the conductor.
1.77
v
(b) What is the value of the average induced emf for each complete rotation?
0
v
(c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.)
The value in part (a) would increase.
The value in part (a) would remain the same.
The value in part (a) would decrease.
The value in part (b) would increase.
The value in part (b) would remain the same.
The value in part (b) would decrease.
×
(d) Sketch the emf versus time when the field is as drawn in the figure. Choose File No file chosen
This answer has not been graded yet.
(e) Sketch the emf…
Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 22.1 - Which of the following would cause a change in the...Ch. 22.2 - A point charge Q is at the center of a spherical...Ch. 22.2 - Three 2.95 C charges are in a small box. What is...Ch. 22.3 - A charge Q is placed on a hollow metal ball. We...Ch. 22.3 - CHAPTER-OPENING QUESTIONGuess now! A nonconducting...Ch. 22.3 - Which of the following statements about Gausss law...Ch. 22 - If the electric flux through a closed surface is...Ch. 22 - Is the electric field E in Gausss law....Ch. 22 - A point charge is surrounded by a spherical...Ch. 22 - What can you say about the flux through a closed...
Ch. 22 - The electric field E is zero at all points on a...Ch. 22 - Define gravitational flux in analogy to electric...Ch. 22 - Would Gausss law be helpful in determining the...Ch. 22 - A spherical basketball (a nonconductor) is given a...Ch. 22 - In Example 226, it may seem that the electric...Ch. 22 - Suppose the line of charge in Example 226 extended...Ch. 22 - A point charge Q is surrounded by a spherical...Ch. 22 - A solid conductor carries a net positive charge Q....Ch. 22 - A point charge q is placed at the center of the...Ch. 22 - A small charged ball is inserted into a balloon....Ch. 22 - (I) A uniform electric field of magnitude 5.8 102...Ch. 22 - (I) The Earth possesses an electric field of...Ch. 22 - (II) A cube of side l is placed in a uniform field...Ch. 22 - (II) A uniform field E is parallel to the axis of...Ch. 22 - (I) The total electric flux from a cubical box...Ch. 22 - (I) Figure 2226 shows five closed surfaces that...Ch. 22 - (II) In Fig. 2227, two objects, O1 and O2, have...Ch. 22 - (II) A ring of charge with uniform charge density...Ch. 22 - (II) In a certain region of space, the electric...Ch. 22 - (II) A point charge Q is placed at the center of a...Ch. 22 - (II) A 15.0-cm-long uniformly charged plastic rod...Ch. 22 - (I) Draw the electric field lines around a...Ch. 22 - (I) The field just outside a 3.50-cm-radius metal...Ch. 22 - (I) Starting from the result of Example 223, show...Ch. 22 - (I) A long thin wire, hundreds of meters long,...Ch. 22 - (I) A metal globe has l.50 mC of charge put on it...Ch. 22 - (II) A nonconducting sphere is made of two layers....Ch. 22 - (II) A solid metal sphere of radius 3.00 m carries...Ch. 22 - (II) A 15.0-cm-diameter nonconducting sphere...Ch. 22 - (II) A flat square sheet of thin aluminum foil,...Ch. 22 - (II) A spherical cavity of radius 4.50 cm is at...Ch. 22 - (II) A point charge Q rests at the center of an...Ch. 22 - (II) A solid metal cube has a spherical cavity at...Ch. 22 - (II) Two large, flat metal plates are separated by...Ch. 22 - (II) Suppose the two conducting plates in Problem...Ch. 22 - (II) The electric field between two square metal...Ch. 22 - (II) Two thin concentric spherical shells of radii...Ch. 22 - (II) A spherical rubber balloon carries a total...Ch. 22 - (II) Suppose the nonconducting sphere of Example...Ch. 22 - (II) Suppose in Fig. 2232, Problem 29, there is...Ch. 22 - (II) Suppose the thick spherical shell of Problem...Ch. 22 - (II) Suppose that at the center of the cavity...Ch. 22 - (II) A long cylindrical shell of radius R0 and...Ch. 22 - (II) A very long solid nonconducting cylinder of...Ch. 22 - (II) A thin cylindrical shell of radius R1 is...Ch. 22 - (II) A thin cylindrical shell of radius R1 = 6.5...Ch. 22 - (II) (a) If an electron (m = 9.1 1031 kg) escaped...Ch. 22 - (II) A very long solid nonconducting cylinder of...Ch. 22 - (II) A nonconducting sphere of radius r0 is...Ch. 22 - (II) A very long solid nonconducting cylinder of...Ch. 22 - (II) A flat ring (inner radius R0, outer radius...Ch. 22 - (II) An uncharged solid conducting sphere of...Ch. 22 - (III) A very large (i.e., assume infinite) flat...Ch. 22 - (III) Suppose the density of charge between r1 and...Ch. 22 - (III) Suppose two thin flat plates measure 1.0 m ...Ch. 22 - (III) A flat slab of nonconducting material (Fig....Ch. 22 - (III) A flat slab of nonconducting material has...Ch. 22 - (III) An extremely long, solid nonconducting...Ch. 22 - (III) Charge is distributed within a solid sphere...Ch. 22 - A point charge Q is on the axis of a short...Ch. 22 - Prob. 51GPCh. 22 - The Earth is surrounded by an electric field,...Ch. 22 - A cube of side has one corner at the origin of...Ch. 22 - A solid nonconducting sphere of radius r0 has a...Ch. 22 - A point charge of 9.20 nC is located at the origin...Ch. 22 - A point charge produces an electric flux of +235 N...Ch. 22 - A point charge Q is placed a distance r0/2 above...Ch. 22 - Three large but thin charged sheets are parallel...Ch. 22 - Neutral hydrogen can be modeled as a positive...Ch. 22 - A very large thin plane has uniform surface charge...Ch. 22 - A sphere of radius r0 carries a volume charge...Ch. 22 - Dry air will break down and generate a spark if...Ch. 22 - Three very large sheets are separated by equal...Ch. 22 - In a cubical volume, 0.70 m on a side, the...Ch. 22 - A conducting spherical shell (Fig. 2249) has inner...Ch. 22 - A hemisphere of radius R is placed in a...Ch. 22 - (III) An electric field is given by...
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- In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page. In this illustration, a wire extends straight to the right from point A, then curves up and around in a semicircle of radius R. On the right side of the semicircle, the wire continues straight to the right to point C. The wire lies in the plane of the page, in a region of no magnetic field. Directly below the axis A C is a region of uniform magnetic field pointing out of the page, vector Bout. If viewed from the right, the wire can rotate counterclockwise, so that the semicircular part can rotate into the region of magnetic field. (a) Calculate the maximum value of the emf induced between the ends of the conductor. V(b) What is the value of the average induced emf for each complete rotation? Consider carefully whether the correct answer is…arrow_forwardA coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.20 cm and 1.00 103 turns/meter (see figure below). The current in the solenoid changes as I = 6.00 sin(120t), where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time. (Do not include units in your answer.) =arrow_forwardA coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 103 turns/meter (see figure below). The current in the solenoid changes as I = 5.00 sin(120t), where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time. (Do not include units in your answer.) =arrow_forward
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