College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 22, Problem 60PE
What are the directions of the currents in the loop and coils shown in Figure 22.61?
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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
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…
Chapter 22 Solutions
College Physics
Ch. 22 - Volcanic and other such activity at the...Ch. 22 - Explain why the magnetic field would not be unique...Ch. 22 - List the ways in which magnetic field lines and...Ch. 22 - Noting that the magnetic field lines of a bar...Ch. 22 - Is the Earth's magnetic field parallel to the...Ch. 22 - If a charged particle moves in a straight line...Ch. 22 - How can the motion of a charged particle be used...Ch. 22 - High-velocity charged particles can damage...Ch. 22 - If a cosmic ray proton approaches the Earth from...Ch. 22 - What are the signs of the charges on the particles...
Ch. 22 - Which of the particles in Figure 22.47 has the...Ch. 22 - Which of the particles in Figure 22.47 has the...Ch. 22 - While operating, a high-precision TV monitor is...Ch. 22 - Discuss how the Hall effect could be used to...Ch. 22 - Draw a sketch of the situation in Figure 22.30...Ch. 22 - Verify than the direction of the line force in an...Ch. 22 - Why would a magnetohydrodynamic drive work better...Ch. 22 - Which is more likely to interfere with compass...Ch. 22 - Draw a diagram and use RHR-l to show that the...Ch. 22 - Make a drawing and use RHR—2 to find the direction...Ch. 22 - Is the force attractive or repulsive between the...Ch. 22 - It you have three parallel wires in the same...Ch. 22 - Suppose two long straight wires run perpendicular...Ch. 22 - Use the right hand rules to show that the force...Ch. 22 - If one of the loops in Figure 22.49 is titled...Ch. 22 - Electric field lines can be shielded by me Faraday...Ch. 22 - Measurements at the weak and ?uctuating magnetic...Ch. 22 - Discuss the possibility that a Hall voltage would...Ch. 22 - A patient in an MRI unit turns his head quickly to...Ch. 22 - You are told that in a certain region there is...Ch. 22 - An example of magnetohydrodynamics (MHD) comes...Ch. 22 - Draw gravitational field lines between 2 masses,...Ch. 22 - What is the direction of the magnetic force on a...Ch. 22 - Repeal Exercise 22.1 for a negative charge.Ch. 22 - What is the direction of the velocity of a...Ch. 22 - Repeal Exercise 22.3 for a positive charge.Ch. 22 - What is the direction of the magnetic field that...Ch. 22 - Repeal Exercise 22.5 for a negative charge.Ch. 22 - What is the maximum force on an aluminum rod with...Ch. 22 - (a) Aircraft sometimes acquire small static...Ch. 22 - (a) A cosmic ray proton moving toward the Earth at...Ch. 22 - An electron moving at 4.00103m/s in a 1.25T...Ch. 22 - (a) A physicist performing a sensitive measurement...Ch. 22 - A cosmic ray electron moves at 7.50106m/s...Ch. 22 - A proton moves at 7.50107m/s perpendicular to a...Ch. 22 - (a) Viewers of Star Trek hear of an antimatter...Ch. 22 - (a) An oxygen16 ion with a mass at 2.661026kg...Ch. 22 - What radius circular path does an electron travel...Ch. 22 - A velocity selector in a mass spectrometer uses a...Ch. 22 - An electron in a TV CRT moves with a speed at...Ch. 22 - (a) At what speed will a proton move in a circular...Ch. 22 - A mass spectrometer is being used to separate...Ch. 22 - (a) Triply charged uranium-235 and uranium-238...Ch. 22 - A large water main is 2.50 m in diameter and the...Ch. 22 - What Hall voltage is produced by a 0.200T field...Ch. 22 - (a) What is the speed of a supersonic aircraft...Ch. 22 - A nonmechanical water meter could utilize the Hall...Ch. 22 - Calculate the Hall voltage induced on a patient’s...Ch. 22 - A Hall probe calibrated to read 1.00V when placed...Ch. 22 - Using information in Example 20.6, what would the...Ch. 22 - Show that the Hall voltage across wires made of...Ch. 22 - A patient with a pacemaker is mistakenly being...Ch. 22 - What is the direction of the magnetic force on the...Ch. 22 - What is the direction of a current that...Ch. 22 - What is the direction of the magnetic field that...Ch. 22 - (a) What is the force per meter on a lightning...Ch. 22 - (a) A DC power line for a light-rail system...Ch. 22 - What force is exerted on the water in an MHD drive...Ch. 22 - A wire carrying a 30.0-A current passes between...Ch. 22 - (a) A 0.750-m-long section of cable carrying...Ch. 22 - (a) What is the angle between a wire carrying an...Ch. 22 - The force on the rectangular loop of wire in the...Ch. 22 - (a) By how many percent is the torque of a motor...Ch. 22 - (a) What is me maximum torque on a 150Turn square...Ch. 22 - Find the current through a loop needed to create a...Ch. 22 - Calculate the magnetic field strength needed on a...Ch. 22 - Since the equation for torque on a...Ch. 22 - (a) At what angle (is the torque on a current loop...Ch. 22 - A proton has a magnetic field due to its spin on...Ch. 22 - (a) A 200Turn circular loop of radius 50.0 cm is...Ch. 22 - Repeat Exercise 22.41, but with the loop lying...Ch. 22 - (a) The hot and neutral wires supplying DC power...Ch. 22 - The force per meter between the two wires of a...Ch. 22 - A 2.50m segment of wire supplying current to the...Ch. 22 - The wire carrying 400 A to The motor of a commuter...Ch. 22 - An AC appliance cord has its hot and neutral wires...Ch. 22 - Figure 22.57 shows a long straight wire near a...Ch. 22 - Find the direction and magnitude of the force that...Ch. 22 - Find the direction and magnitude of the force that...Ch. 22 - Indicate whether the magnetic field created in...Ch. 22 - What are the directions of the fields in the...Ch. 22 - What are the directions of the currents in the...Ch. 22 - To see why an MRI utilizes iron to increase the...Ch. 22 - Inside a motor, 30.0 A passes through a 250-turn...Ch. 22 - Nonnuclear submarines use batteries for power when...Ch. 22 - How strong is the magnetic field inside a solenoid...Ch. 22 - What current is needed in the solenoid described...Ch. 22 - How far from the starter cable of a car, carrying...Ch. 22 - Measurements affect the system being measured,...Ch. 22 - Figure 22.62 shows a long straight wire just...Ch. 22 - Find the magnitude and direction of the magnetic...Ch. 22 - Find the magnitude and direction of the magnetic...Ch. 22 - What current is needed in the top wire in Figure...Ch. 22 - Calculate the size of the magnetic field 20 m...Ch. 22 - Integrated Concepts A pendulum is set up so that...Ch. 22 - Integrated Concepts (a) What voltage will...Ch. 22 - Integrated Concepts Find the radius of curvature...Ch. 22 - Integrated Concepts To construct a nonmechanical...Ch. 22 - Integrated Concepts (a) Using the values given for...Ch. 22 - Integrated Concepts (a) Calculate the maximum...Ch. 22 - Integrated Concepts A current balance used to...Ch. 22 - Integrated Concepts (a) Show that the period of...Ch. 22 - Integrated Concepts A cyclotron accelerates...Ch. 22 - Integrated Concepts (a) A 0.140-kg baseball,...Ch. 22 - Integrated Concepts (a) What is the direction of...Ch. 22 - Integrated Concepts One long straight wire is to...Ch. 22 - Unreasonable Results (a) Find the charge on a...Ch. 22 - Unreasonable Results A charged particle having...Ch. 22 - Unreasonable Results An inventor wants to generate...Ch. 22 - Unreasonable Results Frustrated by the small Hall...Ch. 22 - Unreasonable Results A surveyor 100 m from a long...Ch. 22 - Construct Your Own Problem Consider a mass...Ch. 22 - Construct Your Own Problem Consider using the...
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- 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.arrow_forward= 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_forward
- 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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