University Physics Volume 11st EditionSamuel J Ling Jeff, Sanny, William Moebs Publisher: OpenStaxISBN: 9781630182137
University Physics Volume 1
Solutions for University Physics Volume 1
Problem 16.1CYU:
Check Your Understanding When a guitar string is plucked, the guitar string oscillates as a result...Problem 16.2CYU:
Check Your Understanding The propagation velocity of a transverse or longitudinal mechanical wave...Problem 16.3CYU:
Check Your Understanding The wave function above is derived using a sine function. Can a cosine...Problem 16.4CYU:
Check Your Understanding The wave equation 2y(x,t)x2=1v22y(x,t)t2 works for any wave of the form...Problem 16.5CYU:
Check Your Understanding The wave speed of a wave on a string depends on the tension and the linear...Problem 16.6CYU:
Check Your Understanding Is the time-averaged power of a sinusoidal wave on a string proportional to...Problem 16.7CYU:
Check Your Understanding The equations for the wavelengths and the frequencies of the modes of a...Problem 1CQ:
Give one example of a transverse wave and one example of a longitudinal wave, being careful to note...Problem 2CQ:
A sinusoidal transverse wave has a wavelength of 2.80 m. It takes 0.10 s for a portion of the string...Problem 3CQ:
What is the difference between propagation speed and the frequency of a mechanical wave? Does one or...Problem 4CQ:
Consider a stretched spring, such as a slinky. The stretched spring can support longitudinal waves...Problem 5CQ:
Consider a wave produced on a stretched spring by holding one end and shaking it up and down. Does...Problem 6CQ:
A sinusoidal, transverse wave is produced on a stretched spring, having a period T. Each section of...Problem 7CQ:
An electromagnetic wave, such as light, does not require a medium. Can you think of an example that...Problem 8CQ:
If you were to shake the end of a taut spring up and down 10 times a second, what would be the...Problem 9CQ:
If you shake the end of a stretched spring up and down with a frequency f, you can produce a...Problem 10CQ:
Does the vertical speed of a segment of a horizontal taut string through which a sinusoidal,...Problem 11CQ:
In this section, we have considered waves that move at a constant wave speed. Does the medium...Problem 12CQ:
If you drop a pebble in a pond you may notice that several concentric ripples are produced, not just...Problem 13CQ:
If the tension in a string were increased by a factor of four, by what factor would the wave speed...Problem 14CQ:
Does a sound wave move faster in seawater or fresh water, if both the sea water and fresh water are...Problem 15CQ:
Guitars have strings of different linear mass density. If the lowest density string and the highest...Problem 16CQ:
Shown below are three waves that were sent down a string at different times. The tension in the...Problem 17CQ:
Electrical power lines connected by two utility poles are sometimes heard to hum when driven into...Problem 18CQ:
Two strings, one with a low mass density and one with a high linear density are spliced together....Problem 19CQ:
Consider a string with under tension with a constant linear mass density. A sinusoidal wave with an...Problem 20CQ:
Circular water waves decrease in amplitude as they move away from where a rock is dropped. Explain...Problem 21CQ:
In a transverse wave on a string, the motion of the string is perpendicular to the motion of the...Problem 22CQ:
The energy from the sun warms the portion of the earth facing the sun during the daylight hours. Why...Problem 23CQ:
The intensity of a spherical waves decreases as the wave moves away from the source. If the...Problem 24CQ:
An incident sinusoidal wave is sent along a string that is fixed to the wall with a wave speed of v....Problem 25CQ:
A string of a length of 2.00 m with a linear mass density of =0.006 kg/m is attached to the end of a...Problem 26CQ:
A long, tight spring is held by two students, one student holding each end. Each student gives the...Problem 27CQ:
Many of the topics discussed in this chapter are useful beyond the topics of mechanical waves. It is...Problem 28CQ:
A string of a constant linear mass density is held taut by two students, each holding one end. The...Problem 29CQ:
A truck manufacturer finds that a strut in the engine is failing prematurely. A sound engineer...Problem 30CQ:
Why do roofs of gymnasiums and churches seem to fail more than family homes when an earthquake...Problem 31CQ:
Wine glasses can be set into resonance by moistening your finger and rubbing it around the rim of...Problem 32CQ:
Air conditioning units are sometimes placed on the roof of homes in the city. Occasionally, the air...Problem 33CQ:
Consider a standing wave modeled as y(x,t)=4.00cmsin(3m1x)cos(4s1t) . Is there a node or an antinode...Problem 34P:
Storms in the South Pacific can create waves that travel all the way to the California coast, 12,000...Problem 35P:
Waves on a swimming pool propagate at 0.75 m/s. You splash the water at one end of the pool and...Problem 36P:
Wind gusts create ripples on the ocean that have a wavelength of 5.00 cm and propagate at 2.00 m/s....Problem 37P:
How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m...Problem 38P:
Scouts at a camp shake the rope bridge they have just crossed and observe the wave crests to be 8.00...Problem 39P:
What is the wavelength of the waves you create in a swimming pool if you splash your hand at a rate...Problem 40P:
What is the wavelength of an earthquake that shakes you with a frequency of 10.0 Hz and gets to...Problem 41P:
Radio waves transmitted through empty space at the speed of light (v=c=3.00108m/s) by the Voyager...Problem 42P:
Your ear is capable of differentiating sounds that arrive at each ear just 0.34 ms apart, which is...Problem 43P:
(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the...Problem 44P:
A Girl Scout is taking a 10.00-km hike to earn a merit badge. While on the hike, she sees a cliff...Problem 45P:
A quality assurance engineer at a frying pan company is asked to qualify a new line of...Problem 46P:
A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse...Problem 48P:
Consider the wave function y(x,t)=(3.00cm)sin(0.4m1x+2.00s1t+10) . What are the period, wavelength,...Problem 49P:
A pulse is defined as y(x,t)=e2.77( 2.00( x2.00m/s ( t ) ) 5.00m)2 . Use a spreadsheet, or other...Problem 50P:
A wave is modeled at time t=0.00s with a wave function that depends on position. The equation is...Problem 51P:
A wave is modeled with the function y(x,t)=(0.25m)cos(0.30m1x0.90s1t+3) . Find the (a) amplitude,...Problem 52P:
A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It...Problem 53P:
A wave is modeled by the wave function y(x,t)=(0.30m)sin[24.50m(x18.00mst)] . What are the...Problem 54P:
A transverse wave on a string is described with the wave function y(x,t)=(0.50cm)sin(1.57m1x6.28s1t)...Problem 55P:
A swimmer in the ocean observes one day that the ocean surface waves are periodic and resemble a...Problem 56P:
Consider a wave described by the wave function y(x,t)=0.3msin(2.00m1x628.00s1t) . (a) How many...Problem 57P:
Consider two waves defined by the wave functions y1(x,t)=0.50msin(23.00mx+24.00st) and...Problem 58P:
Consider two waves defined by the wave functions y1(x,t)=0.20msin(26.00mx24.00st) and...Problem 59P:
The speed of a transverse wave on a string is 300.00 m/s, its wavelength is 0.50 m, and the...Problem 60P:
Transverse waves are sent along a 5.00-m-long string with a speed of 30.00 m/s. The string is under...Problem 61P:
A copper wire has a density of =8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held...Problem 62P:
A piano wire has a linear mass density of =4.95103 kg/m. Under what tension must the string be kept...Problem 63P:
A string with a linear mass density of =0.0060 kg/m is tied to the ceiling. A 20-kg mass is tied to...Problem 64P:
A cord has a linear mass density of =0.0075 kg/m and a length of three meters. The cord is plucked...Problem 65P:
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N...Problem 66P:
Two strings are attached to poles, however the first string is twice as long as the second. If both...Problem 67P:
Two strings are attached to poles, however the first string is twice the linear mass density mu of...Problem 68P:
Transverse waves travel through a string where the tension equals 7.00 N with a speed of 20.00 m/s....Problem 69P:
Two strings are attached between two poles separated by a distance of 2.00 m as shown below, both...Problem 70P:
Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the...Problem 71P:
The note E4 is played on a piano and has a frequency of f=393.88 . If the linear mass density of...Problem 72P:
Two transverse waves travel through a taut string. The speed of each wave is v=30.00 m/s. A plot of...Problem 73P:
A sinusoidal wave travels down a taut, horizontal string with a linear mass density of =0.060 kg/m ....Problem 74P:
The speed of a transverse wave on a string is v=60.00 m/s and the tension in the string is FT=100.00...Problem 75P:
A string of length 5 m and a mass of 90 g is held under a tension of 100 N. A wave travels down the...Problem 76P:
Ultrasound of intensity 1.50102W/m2 is produced by the rectangular head of a medical imaging device...Problem 77P:
The low-frequency speaker of a stereo set has asurface area of A=0.05 m2 and produces 1 W of...Problem 78P:
To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be...Problem 79P:
A device called an insolation meter is used to measure the intensity of sunlight. It has an area of...Problem 80P:
Energy from the Sun arrives at the top of Earth’s atmosphere with an intensity of 1400 W/m2. How...Problem 81P:
Suppose you have a device that extracts energy from ocean breakers in direct proportion to their...Problem 82P:
A photovoltaic array of (solar cells) is 10.0% efficient in gathering solar energy and converting it...Problem 83P:
A microphone receiving a pure sound tone feeds an oscilloscope, producing a wave on its screen. If...Problem 84P:
A string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and...Problem 85P:
The power versus time for a point on a string (=0.05kg/m) in which a sinusoidal traveling wave is...Problem 86P:
A string is under tension FT1. Energy is transmitted by a wave on the string at rate P1by a wave of...Problem 87P:
A 250-Hz tuning fork is struck and the intensity at the source is I1at a distance of one meter from...Problem 88P:
A sound speaker is rated at a voltage of P=120.00 V and a current of I=10.00 A. Electrical power...Problem 89P:
The energy of a ripple on a pond is proportional to the amplitude squared. If the amplitude of the...Problem 90P:
Consider two sinusoidal waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t) and...Problem 91P:
Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t+3)...Problem 92P:
Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t)...Problem 93P:
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of...Problem 94P:
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...Problem 95P:
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...Problem 96P:
Consider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in...Problem 97P:
Two sinusoidal waves, which are identical except for a phase shift, travel along in the same...Problem 98P:
Two sinusoidal waves, which are identical except for a phase shift, travel along in the same...Problem 99P:
Consider two wave functions, y1(x,t)=0.40msin(m1xs1t) and y2(x,t)=0.40msin(m1xs1t+3) . (a) Using a...Problem 100P:
Consider two wave functions, y2(x,t)=2.00msin(2m1x3s1t) and y2(x,t)=2.00msin(2m1x3s1t+6) . (a)...Problem 101P:
Consider two wave functions that differ only by a phase shift, y1(x,t)=Acos(kxt) and...Problem 102P:
A wave traveling on a Slinky® that is stretched to 4 m takes 2.4 s to travel the length of the...Problem 103P:
A 2-m long string is stretched between two supports with a tension that produces a wave speed equal...Problem 104P:
Consider the experimental setup shown below. The length of the string between the string vibrator...Problem 105P:
A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is...Problem 106P:
Consider a rod of length L, mounted in the center to a support. A node must exist where the rod is...Problem 107P:
Consider two wave functions y(x,t)=0.30cmsin(3m1x4s1t) and y(x,t)=0.30cmsin(3m1x+4s1t) . Write a...Problem 108P:
A 2.40-m wire has a mass of 7.50 g and is under a tension of 160 N. The wire is held rigidly at both...Problem 109P:
A string with a linear mass density of 0.0062 kg/m and a length of 3.00 m is set into the n=4 mode...Problem 110P:
A string with a linear mass density of 0.0075 kg/m and a length of 6.00 m is set into the n=4 mode...Problem 111P:
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...Problem 112P:
A string, fixed on both ends, is 5.00 m long and has a mass of 0.15 kg. The tension if the string is...Problem 113P:
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The...Problem 114P:
The frequencies of two successive modes of standing waves on a string are 258.36 Hz and 301.42 Hz....Problem 115P:
A string is fixed at both ends to supports 3.50 m apart and has a linear mass density of =0.005...Problem 116P:
Sine waves are sent down a 1.5-m-long string fixed at both ends. The waves reflect back in the...Problem 117AP:
Ultrasound equipment used in the medical profession uses sound waves of a frequency above the range...Problem 118AP:
Shown below is the plot of a wave function that models a wave at time t=0.00 s and t=2.00 s . The...Problem 119AP:
The speed of light in air is approximately v=3.00108 m/s and the speed of light in glass is...Problem 120AP:
A radio station broadcasts radio waves at a frequency of 101.7 MHz. The radio waves move through the...Problem 121AP:
A sunbather stands waist deep in the ocean and observes that six crests of periodic surface waves...Problem 122AP:
A tuning fork vibrates producing sound at a frequency of 512 Hz. The speed of sound of sound in air...Problem 123AP:
A motorboat is traveling across a lake at a speed of vb=15.00 m/s. The boat bounces up and down...Problem 124AP:
Use the linear wave equation to show that the wave speed of a wave modeled with the wave function...Problem 125AP:
Given the wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kxt+) with 2 , show that y1(x,t)+y2(x,t)...Problem 127AP:
A sinusoidal wave travels down a taut, horizontal string with a linear mass density of =0.060 kg/m....Problem 129AP:
A transverse wave on a horizontal string (=0.0060kg/m) is described with the equation...Problem 130AP:
A student holds an inexpensive sonic range finder and uses the range finder to find the distance to...Problem 131AP:
A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and...Problem 132AP:
A traveling wave on a string is modeled by the wave equation y(x,t)=0.30msin(8.00m1x+100.00s1t) ....Problem 133AP:
A transverse wave on a string has a wavelength of 5.0 m, a period of 0.02 s, and an amplitude of 1.5...Problem 134AP:
(a) What is the intensity of a laser beam used to burn away cancerous tissue that, when 90.0%...Problem 135AP:
Consider two periodic wave functions, y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kxt+) . (a) For what values...Problem 136AP:
Consider two periodic wave functions, y1(x,t)=Asin(kxt) and y2(x,t)=Acos(kxt+) . (a) For what values...Problem 137AP:
A trough with dimensions 10.00 meters by 0.10 meters by 0.10 meters is partially filled with water....Problem 138AP:
A seismograph records the S- and P-waves from an earthquake 20.00 s apart. If they traveled the same...Problem 139AP:
Consider what is shown below. A 20.00-kg mass rests on a frictionless ramp inclined at 45° . A...Problem 141AP:
A string has a mass of 150 g and a length of 3.4 m. One end of the string is fixed to a lab stand...Problem 142AP:
A standing wave is produced on a string under a tension of 70.0 N by two sinusoidal transverse waves...Problem 143AP:
A string with a length of 4 m is held under a constant tension. The string has a linear mass density...Problem 144CP:
A copper wire has a radius of 200 µ m and a length of 5.0 m. The wire is placed under a tension of...Problem 145CP:
A pulse moving along the x axis can be modeled as the wave function y(x,t)=4.00me( x+( 2.00m/s )t...Problem 146CP:
A string with a linear mass density of =0.0085 kg/m is fixed at both ends. A 5.0-kg mass is hung...Problem 147CP:
Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . What is the wave function...Problem 148CP:
The wave function that models a standing wave is given as...Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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