University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 15, Problem 15.37E
(a)
To determine
The distance of nodes of the standing waves from the left end.
(b)
To determine
The distance of antinodes of the standing waves from the left end.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A standing wave is the result of superposition of two harmonic waves given by the equations y1(x;t) =Asin(ωt - kx) and y2(x; t) = Asin(ωt + kx). The angular frequency is ω = 3π rad/s and the k = 2πrad/m is the wave number.(a) Give an expression for the amplitude of standing wave.
b) calculate the frequency of the wave
Standing waves on a wire can be described by y(x, t)
= [Asu sin(kx)] sin(wt), with Asw = 2.5mm,
w = 942rad/s, and k = 0.75™ rad/m. The left end of the wire is at x = 0. At what distance from the left end
are the nodes and the antinodes of the standing wave? Create a sketch of this wave.
y2 = 0.01 sin(5rx+40rt),
O y1 = 0.04 sin(20x-320nt); y2 = 0.04 sin(20TDX-+320rt),
Two sinusoidal waves of wavelengthA = 2/3 m and amplitude A = 6 cm and
differing with their phase constant, are travelling to the right with same velocity v
= 50 m/s. The resultant wave function y_res (x,t) will have the form:
O y res (x,t) = 12(cm) cos(p/2) sin(3ttx+150rtt+p/2).
O y_res (x,t) = 12(cm) cos(p/2) sin(3nx-180nt+p/2).
y_res (x,t) = 12(cm) cos(p/2) sin(3nx-150nt+p/2).
O y res (x,t) = 12(cm) cos(p/2) sin(150rtx-3nt+p/2).
y_res (x,t) = 12(cm) cos(@/2) sin(150tx+3nt+p/2).
Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same.
direction at a speed of 10 m/s. If the two waves originate from the same starting
Chapter 15 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 15.1 - What type of wave is the wave shown in Fig. 15.2?...Ch. 15.2 - If you double the wavelength of a wave on a...Ch. 15.3 - Figure 15.8 shows a sinusoidal wave of period T on...Ch. 15.4 - The six strings of a guitar are the same length...Ch. 15.5 - Four identical strings each carry a sinusoidal...Ch. 15.6 - Figure 15.22 shows two wave pulses with different...Ch. 15.7 - Suppose the frequency of the standing wave in...Ch. 15.8 - Prob. 15.8TYUCh. 15 - Two waves travel on the same string. Is it...Ch. 15 - Under a tension F, it takes 2.00 s for a pulse to...
Ch. 15 - What kinds of energy are associated with waves on...Ch. 15 - The amplitude of a wave decreases gradually as the...Ch. 15 - Prob. 15.5DQCh. 15 - The speed of ocean waves depends on the depth of...Ch. 15 - Is it possible to have a longitudinal wave on a...Ch. 15 - For transverse waves on a string, is the wave...Ch. 15 - The four strings on a violin have different...Ch. 15 - Prob. 15.10DQCh. 15 - Prob. 15.11DQCh. 15 - Prob. 15.12DQCh. 15 - In a transverse wave on a string, the motion of...Ch. 15 - Energy can be transferred along a string by wave...Ch. 15 - Prob. 15.15DQCh. 15 - If you stretch a rubber band and pluck it, you...Ch. 15 - A musical interval of an octave corresponds to a...Ch. 15 - By touching a string lightly at its center while...Ch. 15 - Prob. 15.19DQCh. 15 - Violins are short instruments, while cellos and...Ch. 15 - What is the purpose of the frets on a guitar? In...Ch. 15 - The speed of sound in air at 20C is 344 m/s. (a)...Ch. 15 - BIO Audible Sound. Provided the amplitude is...Ch. 15 - Prob. 15.3ECh. 15 - BIO Ultrasound Imaging. Sound having frequencies...Ch. 15 - Prob. 15.5ECh. 15 - A fisherman notices that his boat is moving up and...Ch. 15 - Transverse waves on a siring have wave speed 8.00...Ch. 15 - Prob. 15.8ECh. 15 - Prob. 15.9ECh. 15 - A water wave traveling in a straight line on a...Ch. 15 - A sinusoidal wave is propagating along a stretched...Ch. 15 - CALC Speed of Propagation vs. Particle Speed. (a)...Ch. 15 - A transverse wave on a string has amplitude 0.300...Ch. 15 - Prob. 15.14ECh. 15 - One end of a horizontal rope is attached to a...Ch. 15 - With what tension must a rope with length 2.50 m...Ch. 15 - Prob. 15.17ECh. 15 - A 1.50-m string of weight 0.0125 N is tied to the...Ch. 15 - A thin, 75.0-cm wire has a mass of 16.5 g. One end...Ch. 15 - A heavy rope 6.00 m long and weighing 29.4 N is...Ch. 15 - A simple harmonic oscillator at the point x = 0...Ch. 15 - A piano wire with mass 3.00 g and length 80.0 cm...Ch. 15 - Prob. 15.23ECh. 15 - Prob. 15.24ECh. 15 - A jet plane at takeoff can produce sound of...Ch. 15 - Threshold of Pain. You are investigating the...Ch. 15 - Energy Output. By measurement you determine that...Ch. 15 - A fellow student with a mathematical bent tells...Ch. 15 - At a distance of 7.00 1012 m from a star, the...Ch. 15 - Reflection. A wave pulse on a siring has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Suppose that the left-traveling pulse in Exercise...Ch. 15 - Two pulses are moving in opposite directions at...Ch. 15 - Interference of Rectangular Pulses. Figure E15.35...Ch. 15 - CALC Adjacent antinodes of a standing wave on a...Ch. 15 - Prob. 15.37ECh. 15 - Prob. 15.38ECh. 15 - A wire with mass 40.0 g is stretched so that its...Ch. 15 - A piano tuner stretches a steel piano wire with a...Ch. 15 - CALC A thin, taut string tied at both ends and...Ch. 15 - Prob. 15.42ECh. 15 - Prob. 15.43ECh. 15 - Prob. 15.44ECh. 15 - Prob. 15.45ECh. 15 - Prob. 15.46ECh. 15 - Guitar String. One of the 63.5-cm-long strings of...Ch. 15 - A transverse wave on a rope is given by...Ch. 15 - CALC A transverse sine wave with an amplitude of...Ch. 15 - CP A 1750-N irregular beam is hanging horizontally...Ch. 15 - Three pieces of string, each of length L, are...Ch. 15 - Weightless Ant. An ant with mass m is standing...Ch. 15 - You must determine the length of a long, thin wire...Ch. 15 - Music. You are designing a two-string instrument...Ch. 15 - CP A 5.00-m, 0.732-kg wire is used to support two...Ch. 15 - A uniform, 8.40-kg, spherical shell 50.0 cm in...Ch. 15 - For a string stretched between two supports, two...Ch. 15 - A 0.800-m-long string with linear mass density =...Ch. 15 - CP A 1.80-m-long uniform bar that weighs 638 N is...Ch. 15 - A continuous succession of sinusoidal wave pulses...Ch. 15 - A horizontal wire is tied to supports at each end...Ch. 15 - CP A vertical, 1.20-m length of 18-gauge (diameter...Ch. 15 - A sinusoidal transverse wave travels on a string....Ch. 15 - A vibrating string 50.0 cm long is under a tension...Ch. 15 - Clothesline Nodes. Cousin Throckmorton is once...Ch. 15 - A strong string of mass 3.00 g and length 2.20 m...Ch. 15 - A thin string 2.50 m in length is stretched with a...Ch. 15 - CALC A guitar string is vibrating in its...Ch. 15 - A uniform cylindrical steel wire, 55.0 cm long and...Ch. 15 - A string with both ends held fixed is vibrating in...Ch. 15 - CP A large rock that weighs 164.0 N is suspended...Ch. 15 - Holding Up Under Stress. A string or rope will...Ch. 15 - Tuning an Instrument. A musician tunes the...Ch. 15 - Prob. 15.74PCh. 15 - DATA In your physics lab, an oscillator is...Ch. 15 - DATA You are measuring the frequency dependence of...Ch. 15 - CP CALC A deep-sea diver is suspended beneath the...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A wire of length L, = 30 cm has one end fixed and the other end welded to another wire, whose linear density of mass is 4 times smaller. The second wire passes through a pulley and a mass of 10 kg is suspended by its other end. The distance L2 between the weld point and the pulley is 80 cm. A stationary wave is produced in the composite wire, whose ends at the left wall and the pulley remain fixed. If the frequency is as low as possible and there is one node (node) at the solder point, what is the number of nodes (nodes) of this stationary wave, including the nodes (nodes) at the left wall and the pulley? а. 3 b. 4 С. 5 d. 6 е. 7 f. 8 g. 9 h. 10 а. 11 j. 12 k. 13 I. 14 m. 15 L1 L2 marrow_forwardTwo progressive waves y1(x, t) = A sin(2π/λ (x) − ωt)and y2(x, t) = A sin(2π/λ (x) − ωt −π/2)travel in the same direction. Calculate the amplitude and speed of the wave produced as a resultof interference of these two waves. Take A = 5 cm, λ = 4 m and ω = 31.4 Harrow_forwardA length of piano wire (mass density 5.55 * 10-4 kg/m) is under 185 N of tension. A sinusoidal wave of frequency 256 Hz carries a maximum power of 5.20 W along the wire. What is the amplitude of this wave?arrow_forward
- A sound wave enters the thin tube at P and exits at Q. Assume r = 0.50m and the wavelength is 1.12m. What is the smallest length d that results in constructive interference at Q?arrow_forwardA rope is connected from one end to a vibrator of frequency 200 Hz and from the other end to a block of mass m through a pulley where a standing wave of two loops is formed .If h = 0.08 m, then the wave function of the standing wave is expressed as: L = 0.4 m vibrator h m y(x,t)=0.02sin(5x)cos(400nt) O y(x,t)=0.04sin (0.1nx)cos(200nt) O y(x,t)=0.04sin(5x)cos(400nt) O y(x,t)=0.02cos(0.1mx) sin(200nt)arrow_forwardTwo traveling sinusoidal waves are described by the wave functions y, = 4.75 sin [¤(3.75x – 1230t)] y, = 4.75 sin [¤(3.75x – 1230t – 0.250)] where x, y,, and y, are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y, + y,? (b) What is the frequency of the resultant wave function? Hzarrow_forward
- A physics student constantly swings a slinky side to side, with an amplitude of 20 cm. This motion generates a standing wave. How could that standing wave be described? antinodes = 40 cm, nodes = 0 cm, wavelength = 1.75 antinodes = 20 cm, nodes = 0 cm, wavelength = 1.5 λ antinodes = 20 cm, nodes = 0 cm, wavelength = 1.75 λ antinodes = 40 cm, nodes = 0 cm, wavelength = 1.5arrow_forwarda thin bar has a density 7860 kg/m3.it is 0.930 m long and resonates with a fundamental frequency of 1500 hz. when clamped in middle ,what is next highest resonant frequencyarrow_forwardA rope of length L = 5.2 m with a total mass of m = 0.275 kg is tied to a hook rigidly mounted into a wall. A pulse of height 1.9 cm is sent down the rope. The tension in the rope is F = 29 N. (B) What is the height of the pulse that returns?arrow_forward
- A transverse sinusoidal wave on a wire is moving in the -x-direction. Its speed is 30.0 m/s, and its period is 16.0 ms. At t = 0, a colored mark on the wire at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.40 m/s. (a) What is the amplitude of the wave (in m)? 0.040 Write the standard form of the wave function for a wave travelling in the -x direction, then take the partial derivative with respect to time to find the velocity. Use your given values to write y and vransverser and apply the identity sin (@) + cos?(@) = 1 to find A. You will also need to calculate o from the given values. Don't forget to convert units as needed. marrow_forwardJust need to be shown parts (a) and (b) Problem 12: A guitar string of length L = 0.99 m is oriented along the x-direction and under a tension of T = 118 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 9.4 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string. Part (a) Calculate the mass per unit length μ of the guitar string in kg / m. Part (b) Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string. Part (c) Assume a form y1 = A sin(α) for the transverse displacement of the string. Enter an expression for α of a transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t? α = k x - ω t ✔ Correct! Part (d) Assume a form y2 = A sin(α) for the transverse displacement of the string. Write an expression for α of a transverse wave on a string traveling along the…arrow_forwardThe wavefunction for a wave on a taut string of linear mass density u = 40 g/m is !3! given by: y(x,t) = 0.25 sin(5rt - TTx+ ), where x and y are in meters and t is in seconds. The energy associated with two wavelengths on the wire is: O E= 2.47 J O E= 1.85 J O E= 3.70 J O E= 1.23 J O E = 3.08 Jarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON