College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 16, Problem 41PE
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?
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Harmonic Motion X
us
0.45
mi
ce
0.4
0.35
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0.25
0.2
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-Harmonic Motion
a0+ a1*cos(x*w) +
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0.15
a0
0.1586
0.1551
0.1620
a1
0.0163
0.0115
0.0211
0.1
b1
0.0011
-0.0093
0.0115
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0.9880
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2
8
10
t
12
14
16
18
20
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0.2671
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0.13345
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0.26712
296
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0.12467
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0.030041
# Coeff
Valic
R-square
0.1335
4
DFE
296.0000
Adj R-sq
0.1247
RMSE
0.0300
What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?
Let's assume that the brightness of a field-emission electron gun is given by
β
=
4iB
π² d²α²
a) Assuming a gun brightness of 5x108 A/(cm²sr), if we want to have an electron beam with a
semi-convergence angle of 5 milliradian and a probe current of 1 nA, What will be the
effective source size? (5 points)
b) For the same electron gun, plot the dependence of the probe current on the parameter
(dpa) for α = 2, 5, and 10 milliradian, respectively. Hint: use nm as the unit for the
electron probe size and display the three plots on the same graph. (10 points)
Chapter 16 Solutions
College Physics
Ch. 16 - Describe a system in which elastic potential...Ch. 16 - What conditions must be met to produce simple...Ch. 16 - (a) If frequency is not constant for some...Ch. 16 - Give an example of a simple harmonic oscillator,...Ch. 16 - Explain why you expect an object made of a stiff...Ch. 16 - As you pass freight truck with a trailer on a...Ch. 16 - Some people modify cars to be much closet to me...Ch. 16 - Pendulum clocks are made to run at the correct...Ch. 16 - Explain in terms of energy how dissipative forces...Ch. 16 - Give an example of a damped harmonic oscillator....
Ch. 16 - How would a car bounce after a bump under each of...Ch. 16 - Most harmonic oscillators are damped and, if...Ch. 16 - Why are soldiers in general ordered to “route...Ch. 16 - Give one example of a transverse wave and another...Ch. 16 - What is the difference between propagation speed...Ch. 16 - Speakers in stereo systems have two colorcoded...Ch. 16 - Two identical waves undergo pure constructive...Ch. 16 - Circular water waves decrease in amplitude as they...Ch. 16 - Fish ate hung on a spring scale to determine their...Ch. 16 - It is weighin time for the local under85kg rugby...Ch. 16 - One type of BB gun uses a spring-driven plunger to...Ch. 16 - (a) The springs of a pickup truck act like a...Ch. 16 - When an 80.0kg man stands on a pogo stick, the...Ch. 16 - A spring has a length of 0.200 m when a 0.300kg...Ch. 16 - What is the period of 60.0 Hz electrical power?Ch. 16 - If your heart rate is 150 beats per minute during...Ch. 16 - Find the frequency of a tuning fork that takes...Ch. 16 - A stroboscope is set to flash every 8.00105s. What...Ch. 16 - A tire has a tread pattern with a crevice every...Ch. 16 - Engineering Application Each piston of an engine...Ch. 16 - A type of cuckoo clock keeps time by having a mass...Ch. 16 - If the spring constant of a simple harmonic...Ch. 16 - A 0.500kg mass suspended from a spring oscillates...Ch. 16 - By how much leeway (both percentage and mass)...Ch. 16 - Suppose you attach the object with mass m to a...Ch. 16 - A diver on a diving board is undergoing simple...Ch. 16 - Suppose a diving beard wi1h no one on it bounces...Ch. 16 - Figure 15.46 This child’s toy relies on springs to...Ch. 16 - A 90.0kg skydiver hanging from a parachute bounces...Ch. 16 - What is the leng1h of a pendulum that has a period...Ch. 16 - Some people think a pendulum with a period of 1.00...Ch. 16 - What is the period of a 1.00mlong pendulum?Ch. 16 - How long does it take a child on a swing to...Ch. 16 - The pendulum on a cuckoo clock is 5.00 cm long....Ch. 16 - Two parakeets sit on a swing with their combined...Ch. 16 - (a) A pendulum that has a period of 3.00000 s and...Ch. 16 - A pendulum with a period of 2.00000 s in one...Ch. 16 - (a) What is the effect on the period of a pendulum...Ch. 16 - Find the ratio of the new/old periods of a...Ch. 16 - At what rate will a pendulum clock run on me Moon,...Ch. 16 - Suppose the length of a clock’s pendulum is...Ch. 16 - If a pendulumdriven clock gains 5.00 s/day, what...Ch. 16 - The length of nylon rope from which a mountain...Ch. 16 - Engineering Application Near the top of the...Ch. 16 - (a) What is me maximum 1nreluzmcity at an 85.0kg...Ch. 16 - A novelty clock has a 0.0100kg mass object...Ch. 16 - At what positions is the speed of a simple...Ch. 16 - A ladybug sits 12.0 cm from the center of a...Ch. 16 - The amplitude of a lightly damped oscillator...Ch. 16 - How much energy must the shock absorbers of a...Ch. 16 - If a car has a suspension system with a force...Ch. 16 - (a) How much will a spring that has a force...Ch. 16 - Suppose you have a 0.750kg object on a horizontal...Ch. 16 - Engineering Application: A suspension bridge...Ch. 16 - Stems in the South Pacific can create waves that...Ch. 16 - Waves on a swimming pool propagate at 0.750m/s....Ch. 16 - Wind gusts create ripples on the ocean that have a...Ch. 16 - How many times a minute does a boat bob up and...Ch. 16 - Scouts at a camp shake the rope bridge may have...Ch. 16 - What is the wavelength of the waves you create in...Ch. 16 - What is the wavelength of an earthquake that...Ch. 16 - Radio waves transmitted through space at...Ch. 16 - Your ear is capable of differentiating sounds that...Ch. 16 - (a) Seismographs measure the arrival times of...Ch. 16 - A car has two horns, one emitting a frequency of...Ch. 16 - The middleChammer of a piano hits two strings,...Ch. 16 - Two tuning forks having frequencies of 460 and 464...Ch. 16 - Twin jet engines on an airplane are producing an...Ch. 16 - A wave traveling on a Slinky® mat is stretched to...Ch. 16 - Three adjacent keys on a piano (F, F—sharp, and G)...Ch. 16 - Medical Application Ultrasound of intensity...Ch. 16 - The low-frequency speaker of a stereo set hag a...Ch. 16 - To increase intensity of a wave by a factor of 50,...Ch. 16 - Engineering Application A device called an...Ch. 16 - Astronomy Application Energy from the Sun arrives...Ch. 16 - Suppose you have a device that extracts energy...Ch. 16 - Engineering Application (a) A photovoltaic array...Ch. 16 - A microphone receiving a pure sound tone feeds an...Ch. 16 - Medical Application (a) What is the intensity in...
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