
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 33E
Divide 4.23103 m/s by 0.57 ms, and express your answer in m/s2.
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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 1 Solutions
Essential University Physics (3rd Edition)
Ch. 1.2 - A Canadian speed limit of 50 km/h is closest to...Ch. 1.3 - Rank the numbers according to (1) their size and...Ch. 1 - Explain why measurement standards based on...Ch. 1 - Prob. 2FTDCh. 1 - Why doesnt Earths rotation provide a suitable time...Ch. 1 - To raise a power of 10 to another power, you...Ch. 1 - What facts might a scientist use in estimating...Ch. 1 - How would you determine the length of a curved...Ch. 1 - Write 1/x as x to some power.Ch. 1 - Emissions of carbon dioxide from fossil-fuel...
Ch. 1 - In Chapter 3, youll learn that the range of a...Ch. 1 - What is meant by an explicit-constant definition...Ch. 1 - Youre asked to make a rough estimate of the total...Ch. 1 - The power output of a typical large power plant is...Ch. 1 - The diameter of a hydrogen atom is about 0.1 nm,...Ch. 1 - Use the definition of the meter to determine how...Ch. 1 - In nanoseconds, how long is the period of the...Ch. 1 - Lake Baikal in Siberia holds the worlds largest...Ch. 1 - A hydrogen atom is about 0.1 nm in diameter. How...Ch. 1 - How long a piece of wire would you need to form a...Ch. 1 - Making a turn, a jetliner flies 2.1 km on a...Ch. 1 - A car is moving at 35.0 mi/h. Express its speed in...Ch. 1 - You have postage for a 1-oz letter but only a...Ch. 1 - Prob. 22ECh. 1 - How many cubic centimeters are in a cubic meter?Ch. 1 - Prob. 24ECh. 1 - Prob. 25ECh. 1 - Highways in Canada have speed limits of 100 km/h....Ch. 1 - One m/s is how many km/h?Ch. 1 - A 3.0-lb box of grass seed will seed 2100 ft2 of...Ch. 1 - A radian is how many degrees?Ch. 1 - Convert the following to SI units: (a) 55 mi/h:...Ch. 1 - The distance to the Andromeda galaxy, the nearest...Ch. 1 - Add 3.63105 m and 2.13103 km.Ch. 1 - Divide 4.23103 m/s by 0.57 ms, and express your...Ch. 1 - Add 5.131022 cm and 6.83103 mm. and multiply the...Ch. 1 - Find the cube root of 6.4 1019 without a...Ch. 1 - Add 1.46 m and 2.3 cm.Ch. 1 - Prob. 37ECh. 1 - Prob. 38ECh. 1 - To see why its important to carry more digits in...Ch. 1 - Youve been hired as an environmental watchdog for...Ch. 1 - The average dairy cow produces about 104 kg of...Ch. 1 - How many Earths would fit inside the Sun?Ch. 1 - The average American uses electrical energy at the...Ch. 1 - Youre writing a biography of the physicist Enrico...Ch. 1 - (a) Estimate the volume of water going over...Ch. 1 - Estimate the number of air molecules in your dorm...Ch. 1 - A human hair is about 100 m across. Estimate the...Ch. 1 - Prob. 48PCh. 1 - Bubble gums density is about 1 g/cm3. You blow an...Ch. 1 - The Moon barely covers the Sun during a solar...Ch. 1 - The semiconductor chip at the heart of a personal...Ch. 1 - Estimate the number of (a) atoms and (b) cells in...Ch. 1 - When we write the number 3.6 as typical of a...Ch. 1 - Continental drift occurs at about the rate your...Ch. 1 - Youre driving into Canada and trying to decide...Ch. 1 - In the 1908 London Olympics, the intended 26-mile...Ch. 1 - An environmental group is lobbying to shut down a...Ch. 1 - If youre working from the print version of this...Ch. 1 - Estimate the area of skin on your body.Ch. 1 - Estimate the mass of water in the worlds oceans,...Ch. 1 - Express the following with appropriate units and...Ch. 1 - Prob. 62PCh. 1 - Caf Milagro sells coffee online. A half-kilogram...Ch. 1 - The world consumes energy at the rate of about 500...Ch. 1 - The volume of a sphere is given by V=43r3, where r...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...
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