Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 22, Problem 31EAP
To determine
Charge of the object?
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Portfolio Problem 4. Consider two identical springs, each with natural length
and spring constant k, attached to a horizontal frame at distance 2l apart. Their
free ends are attached to the same particle of mass m, which is hanging under
gravity. Let z denote the vertical displacement of the particle from the hori-
zontal frame, so that z < 0 when the particle is below the frame, as shown in
the figure. The particle has zero horizontal velocity, so that the motion is one
dimensional along z.
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(a) Show that the total force acting on the particle is
X
F-mg k-2kz 1
(1.
l
k.
(b) Find the potential energy U(x, y, z) of the system such that U
x = : 0.
= O when
(c) The particle is pulled down until the springs are each of length 3l, and then
released. Find the velocity of the particle when it crosses z = 0.
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…
Portfolio Problem 2. A particle of mass m slides in a straight line (say along i)
on a surface, with initial position x ©0 and initial velocity Vo > 0 at t = 0. The
=
particle is subject to a constant force F = -mai, with a > 0.
While sliding on the surface, the particle is also subject to a friction force
v
Ff
= -m fo
= −m fov,
with fo > 0, i.e., the friction force has constant magnitude mfo and is always
opposed to the motion. We also assume fo 0, and solve it to find v(t) and x(t).
How long does it take for the particle to come to a stop? How far does it travel?
(b) After coming to a stop, the particle starts sliding backwards with negative
velocity. Write the equation of motion in this case, and solve it to find the time
at which the particle returns to the original position, x = 0. Show that the final
speed at x 0 is smaller than Vo.
=
Express all your answers in terms of a, fo and Vo.
Chapter 22 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 22 - l. Can an insulator be charged? If so, how would...Ch. 22 - Can a conductor be charged? If so, how would you...Ch. 22 - Four lightweight balls A, B, C, and D are...Ch. 22 - Charged plastic and glass rods hang by threads. a....Ch. 22 - A lightweight metal ball hangs by a thread. When a...Ch. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - The two oppositely charged metal spheres in FIGURE...Ch. 22 - Metal sphere A in FIGURE Q22.9 has 4 units of...Ch. 22 - Prob. 10CQ
Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Reproduce FIGURE Q22.13 on your paper. Then draw a...Ch. 22 - Prob. 14CQCh. 22 - The electric force on a charged particle in an...Ch. 22 - A glass rod is charged to +8.0 nC by rubbing. a....Ch. 22 - Prob. 2EAPCh. 22 - 3. A plastic rod that has been charged to —15 nC...Ch. 22 - A glass rod that has been charged to + 12 nC...Ch. 22 - Prob. 5EAPCh. 22 - Prob. 6EAPCh. 22 - Prob. 7EAPCh. 22 - A linear accelerator uses alternating electric...Ch. 22 - Prob. 9EAPCh. 22 - Two neutral metal spheres on wood stands are...Ch. 22 - Prob. 11EAPCh. 22 - You have two neutral metal spheres on wood stands....Ch. 22 -
13. Two 1.0 kg masses are 1.0 m apart (center...Ch. 22 - Two small plastic spheres each have a mass of 2.0...Ch. 22 - Prob. 15EAPCh. 22 - Two protons are 2.0 fm apart. What is the...Ch. 22 - What is the net electric force on charge A in...Ch. 22 - What is the net electric force on charge B in...Ch. 22 - What is the force F on the 1.0 nC charge in FIGURE...Ch. 22 - What is the force on the 1.0nC charge in figure...Ch. 22 - Object A, which has been charged to +4.0 nC, is at...Ch. 22 - A small plastic bead has been charged to —15 nC....Ch. 22 - A 2.0 g plastic bead charged to —4.0 nC and a 4.0...Ch. 22 - Two positive point charges q and 4q are at x = O...Ch. 22 - A massless spring is attached to a support at one...Ch. 22 - What are the strength and direction of the...Ch. 22 - The electric field at a point in space is E =...Ch. 22 - Prob. 28EAPCh. 22 - What magnitude charge creates a 1.0 N/C electric...Ch. 22 - Prob. 30EAPCh. 22 - Prob. 31EAPCh. 22 - A + 12 nC charge is located at the origin. a. What...Ch. 22 - A —12 nC charge is located at (x, y) = (1.0 cm, 0...Ch. 22 - A 0.10 g honeybee acquires a charge of +23 pC...Ch. 22 - Prob. 35EAPCh. 22 - 36. Two 1.0 g spheres are charged equally and...Ch. 22 - 37. The nucleus of a 125Xe atom (an isotope of...Ch. 22 - Prob. 38EAPCh. 22 - Prob. 39EAPCh. 22 - Objects A and B are both positively charged. Both...Ch. 22 - What is the force F on the —10 nC charge in FIGURE...Ch. 22 - What is the force F on the —10nC charge in FIGURE...Ch. 22 - 43. What is the force on the 5.0 nC charge in...Ch. 22 - Prob. 44EAPCh. 22 - What is the force F on the 1.0 nC charge at the...Ch. 22 - What is the force F on the 1.0 nC charge at the...Ch. 22 - Prob. 47EAPCh. 22 - The net force on the 1.0 nC charge in FIGURE...Ch. 22 - Prob. 49EAPCh. 22 - A positive point charge Q is located at x=a and a...Ch. 22 - Prob. 51EAPCh. 22 - FIGURE P22.52 shows three charges and the net...Ch. 22 - Prob. 53EAPCh. 22 - Prob. 54EAPCh. 22 - You have two small, 2.0 g balls that have been...Ch. 22 - A 2.0 g metal cube and a 4.0 g metal cube are 6.0...Ch. 22 - Prob. 57EAPCh. 22 - Prob. 58EAPCh. 22 - Prob. 59EAPCh. 22 - Prob. 60EAPCh. 22 - Prob. 61EAPCh. 22 - Two 5.0 g point charges on 1.0-m-long threads...Ch. 22 - Prob. 63EAPCh. 22 - Prob. 64EAPCh. 22 - 65. A 10.0 nC charge is located at position (1.0...Ch. 22 - Prob. 66EAPCh. 22 - An electric field E = 100,000i N/C causes the 5.0...Ch. 22 - An electric field E = 200,000i N/C causes the...Ch. 22 - Prob. 69EAPCh. 22 - In Problems 69 through 72 you are given the...Ch. 22 - Prob. 71EAPCh. 22 - Prob. 72EAPCh. 22 - Prob. 73EAPCh. 22 - Three 3.0 g balls are tied to 80-cm-long threads...Ch. 22 - 75. IN ne identical small spheres shown in FIGURE...Ch. 22 - 76. The force on the -1.0 nC charge is as shown in...Ch. 22 - 77. In Section 22.3 we claimed that a charged...
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- = Portfolio Problem 1. A particle of mass m is dropped (i.e., falls down with zero initial velocity) at time t 0 from height h. If the particle is subject to gravitational acceleration only, i.e., a = −gk, determine its speed as it hits the ground by solving explicitly the expressions for its velocity and position. Next, verify your result using dimensional analysis, assuming that the general relation is of the form v = khag³m, where k is a dimensionless constant.arrow_forwardReview Conceptual Example 2 before attempting this problem. Two slits are 0.158 mm apart. A mixture of red light (wavelength = 693 nm) and yellow-green light (wavelength = 567 nm) falls on the slits. A flat observation screen is located 2.42 m away. What is the distance on the screen between the third-order red fringe and the third-order yellow- green fringe? m = 3 m = 3 m= 0 m = 3 m = 3 Fringes on observation screenarrow_forwardIn 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_forward
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