An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 4, Problem DM
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Pick the keyword from the given list: The energy of motion.
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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
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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
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(a) Calculate the maximum value of the emf induced between the ends of the conductor.
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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 4 Solutions
An Introduction to Physical Science
Ch. 4.1 - Is work a vector quantity? In other words, does it...Ch. 4.1 - What are the units of work?Ch. 4.2 - By what process is energy transferred from one...Ch. 4.2 - To find the difference in gravitational potential...Ch. 4.2 - Prob. 4.1CECh. 4.3 - Overall, can energy be created or destroyed?Ch. 4.3 - What is the difference between total energy and...Ch. 4.3 - Find the kinetic energy of the stone in the...Ch. 4.4 - What is the difference in the operations of a 2-hp...Ch. 4.4 - Electric bills from power companies charge for so...
Ch. 4.4 - A student expends 7.5 W of power in lifting a...Ch. 4.4 - Prob. 4.4CECh. 4.5 - Prob. 1PQCh. 4.5 - Prob. 2PQCh. 4.6 - What is the difference between alternative and...Ch. 4.6 - Prob. 2PQCh. 4 - KEY TERMS 1. work (4.1) 2. joule 3. foot-pound 4....Ch. 4 - Prob. BMCh. 4 - Prob. CMCh. 4 - Prob. DMCh. 4 - Prob. EMCh. 4 - Prob. FMCh. 4 - Prob. GMCh. 4 - Prob. HMCh. 4 - Prob. IMCh. 4 - Prob. JMCh. 4 - Prob. KMCh. 4 - Prob. LMCh. 4 - Prob. MMCh. 4 - KEY TERMS 1. work (4.1) 2. joule 3. foot-pound 4....Ch. 4 - KEY TERMS 1. work (4.1) 2. joule 3. foot-pound 4....Ch. 4 - Work is done on an object when it is ___. (4.1)...Ch. 4 - Which of the following is a unit of work? (4.1)...Ch. 4 - Prob. 3MCCh. 4 - Which of the following objects has the greatest...Ch. 4 - A pitcher throws a fastball. When the catcher...Ch. 4 - The reference point for gravitational potential...Ch. 4 - When the height of an object is changed, the...Ch. 4 - Mechanical energy is ___. (4.2) (a) the sum of...Ch. 4 - On which of the following does the speed of a...Ch. 4 - Power is expressed by which of the following...Ch. 4 - If motor A has twice as much horsepower as motor...Ch. 4 - Prob. 12MCCh. 4 - Which one of the following would not be classified...Ch. 4 - Prob. 14MCCh. 4 - Work is equal to the force times the ___ distance...Ch. 4 - Prob. 2FIBCh. 4 - The unit N m is given the special name of ___ ....Ch. 4 - Prob. 4FIBCh. 4 - Prob. 5FIBCh. 4 - The stopping distance of an automobile on a level...Ch. 4 - Kinetic energy is commonly referred to as the...Ch. 4 - Prob. 8FIBCh. 4 - Prob. 9FIBCh. 4 - Prob. 10FIBCh. 4 - Prob. 11FIBCh. 4 - Prob. 12FIBCh. 4 - Renewable energy sources cannot be ___ . (4.6)Ch. 4 - Gasohol is gasoline mixed with ___ . (4.6)Ch. 4 - Prob. 1SACh. 4 - Do all forces do work? Explain.Ch. 4 - What does work on a shuffleboard puck as it slides...Ch. 4 - A weight lifter holds 900 N (about 200 lb) over...Ch. 4 - For the situation in Fig. 4.4a, if the applied...Ch. 4 - Car B is traveling twice as fast as car A, but car...Ch. 4 - Prob. 7SACh. 4 - If the speed of a moving object is doubled, how...Ch. 4 - A book sits on a library shelf 1.5 m above the...Ch. 4 - (a) A car traveling at a constant speed on a level...Ch. 4 - An object is said to have a negative potential...Ch. 4 - Prob. 12SACh. 4 - A ball is dropped from a height at which it has 50...Ch. 4 - Prob. 14SACh. 4 - A simple pendulum as shown in Fig. 4.24...Ch. 4 - Two students throw identical snowballs from the...Ch. 4 - Prob. 17SACh. 4 - When you throw an object into the air, is its...Ch. 4 - Prob. 19SACh. 4 - Persons A and B do the same job, but person B...Ch. 4 - What does a greater power rating mean in terms of...Ch. 4 - What do we pay the electric company for, power or...Ch. 4 - Prob. 23SACh. 4 - Prob. 24SACh. 4 - Prob. 25SACh. 4 - On average, how much energy do you radiate each...Ch. 4 - Prob. 27SACh. 4 - Prob. 28SACh. 4 - Prob. 29SACh. 4 - Prob. 30SACh. 4 - Prob. 1VCCh. 4 - A fellow student tells you that she has both zero...Ch. 4 - Two identical stones are thrown from the top of a...Ch. 4 - A person on a trampoline can go higher with each...Ch. 4 - With which of our five senses can we detect...Ch. 4 - What are three common ways to save electricity to...Ch. 4 - A worker pushes horizontally on a large crate with...Ch. 4 - While rearranging a dorm room, a student does 400...Ch. 4 - A 5.0-kilo bag of sugar is on a counter. How much...Ch. 4 - How much work is required to lift a 6.0-kg...Ch. 4 - A man pushes a lawn mower on a level lawn with a...Ch. 4 - If the man in Exercise 5 pushes the mower with 40%...Ch. 4 - How much work does gravity do on a 0.150-kg ball...Ch. 4 - A student throws the same ball straight upward to...Ch. 4 - (a) What is the kinetic energy in joules of a...Ch. 4 - A 60-kg student traveling in a car with a constant...Ch. 4 - What is the kinetic energy of a 20-kg dog that is...Ch. 4 - Which has more kinetic energy, a 0.0020-kg bullet...Ch. 4 - Prob. 13ECh. 4 - How much farther would the force in Exercise 13...Ch. 4 - What is the potential energy of a 3.00-kg object...Ch. 4 - How much work is required to lift a 3.00-kg object...Ch. 4 - An object is dropped from a height of 12 m. At...Ch. 4 - A 1.0-kg rock is dropped from a height of 6.0 m....Ch. 4 - A sled and rider with a combined weight of 60 kg...Ch. 4 - A 30.0-kg child starting from rest slides down a...Ch. 4 - If the man in Exercise 5 pushes the lawn mower 6.0...Ch. 4 - If the man in Exercise 5 expended 60 W of power in...Ch. 4 - A student who weighs 556 N climbs a stairway...Ch. 4 - A 125-lb student races up stairs with a vertical...Ch. 4 - On a particular day, the following appliances are...Ch. 4 - Prob. 26E
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