Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 17, Problem 10PQ
To determine
To show that
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider two wave functions y1 (x, t) = A sin (kx − ωt) and y2 (x, t) = A sin (kx + ωt + ϕ). The resultant wave form when you add the two functions is yR = 2A sin (kx +ϕ/2) cos (ωt + ϕ/2). Consider the case where A = 0.03 m−1, k = 1.26 m−1, ω = π s−1 , and ϕ = π/10 . (a) Where are the first three nodes of the standing wave function starting at zero and moving in the positive x direction? (b) Using a spreadsheet, plot the two wave functions and the resulting function at time t = 1.00 s to verify your answer.
Two sinusoidal waves of wavelength λ = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the right with same velocity v = 60 m/s. The resultant wave function y_res (x,t) will have the form:
Show that a standing wave given by the equation: y (x, t) = A sin (kx) sin (ωt) satisfies the wave equation, verify that: v0 = ω / k; shows that the standing wave also satisfies the equation of harmonic oscillator: ∂2y(x,t)/∂t2 = −ω2y(x,t), interpret this result.
Chapter 17 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 17.2 - As weve seen before, terms used in physics often...Ch. 17.2 - A graph of a pulses profile and a...Ch. 17.3 - Prob. 17.3CECh. 17.5 - Prob. 17.4CECh. 17.5 - The bulk modulus of water is 2.2 109 Pa (Table...Ch. 17.6 - Prob. 17.6CECh. 17 - A dog swims from one end of a pool to the opposite...Ch. 17 - Prob. 2PQCh. 17 - Prob. 3PQCh. 17 - Prob. 4PQ
Ch. 17 - Prob. 5PQCh. 17 - Prob. 6PQCh. 17 - Prob. 7PQCh. 17 - Prob. 8PQCh. 17 - A sinusoidal traveling wave is generated on a...Ch. 17 - Prob. 10PQCh. 17 - Prob. 11PQCh. 17 - The equation of a harmonic wave propagating along...Ch. 17 - Prob. 13PQCh. 17 - Prob. 14PQCh. 17 - Prob. 15PQCh. 17 - A harmonic transverse wave function is given by...Ch. 17 - Prob. 17PQCh. 17 - Prob. 18PQCh. 17 - Prob. 19PQCh. 17 - Prob. 20PQCh. 17 - Prob. 21PQCh. 17 - Prob. 22PQCh. 17 - A wave on a string with linear mass density 5.00 ...Ch. 17 - A traveling wave on a thin wire is given by the...Ch. 17 - Prob. 25PQCh. 17 - Prob. 26PQCh. 17 - Prob. 27PQCh. 17 - Prob. 28PQCh. 17 - Prob. 29PQCh. 17 - Prob. 30PQCh. 17 - Prob. 31PQCh. 17 - Problems 32 and 33 are paired. N Seismic waves...Ch. 17 - Prob. 33PQCh. 17 - Prob. 34PQCh. 17 - Prob. 35PQCh. 17 - Prob. 36PQCh. 17 - Prob. 37PQCh. 17 - Prob. 38PQCh. 17 - Prob. 39PQCh. 17 - Prob. 40PQCh. 17 - Prob. 41PQCh. 17 - Prob. 42PQCh. 17 - Prob. 43PQCh. 17 - Prob. 44PQCh. 17 - Prob. 45PQCh. 17 - What is the sound level of a sound wave with...Ch. 17 - Prob. 47PQCh. 17 - The speaker system at an open-air rock concert...Ch. 17 - Prob. 49PQCh. 17 - Prob. 50PQCh. 17 - Prob. 51PQCh. 17 - Prob. 52PQCh. 17 - Prob. 53PQCh. 17 - Using the concept of diffraction, discuss how the...Ch. 17 - Prob. 55PQCh. 17 - Prob. 56PQCh. 17 - An ambulance traveling eastbound at 140.0 km/h...Ch. 17 - Prob. 58PQCh. 17 - Prob. 59PQCh. 17 - Prob. 60PQCh. 17 - Prob. 61PQCh. 17 - In Problem 61, a. Sketch an image of the wave...Ch. 17 - Prob. 63PQCh. 17 - Prob. 64PQCh. 17 - Prob. 65PQCh. 17 - Prob. 66PQCh. 17 - Prob. 67PQCh. 17 - Prob. 68PQCh. 17 - Prob. 69PQCh. 17 - Prob. 70PQCh. 17 - A block of mass m = 5.00 kg is suspended from a...Ch. 17 - A The equation of a harmonic wave propagating...Ch. 17 - Prob. 73PQCh. 17 - Prob. 74PQCh. 17 - Prob. 75PQCh. 17 - Prob. 76PQCh. 17 - A siren emits a sound of frequency 1.44103 Hz when...Ch. 17 - Female Aedes aegypti mosquitoes emit a buzz at...Ch. 17 - A careless child accidentally drops a tuning fork...Ch. 17 - Prob. 80PQCh. 17 - A wire with a tapered cross-sectional area 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
- The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?arrow_forwardGiven the wave functions y1 (x, t) = A sin (kx − ωt) and y2 (x, t) = A sin (kx − ωt + ϕ) with ϕ ≠ π/2 , show that y1 (x, t) + y2 (x, t) is a solution to the linear wave equation with a wave velocity of v = √(ω/k).arrow_forwardy2 = 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 startingarrow_forward
- 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.arrow_forwardA 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 wavearrow_forwarddocs.google.com/forms/d/e/1Ff o Two sinusoidal waves of wavelength A = 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: y_res (x,t) = 12(cm) cos(4/2) sin(3Tx+150rt+p/2). y_res (x,t) = 12(cm) cos(4/2) sin(150Ttx+3nt+p/2). y_res (x,t) = 12(cm) cos(4/2) sin(150ttx- 3nt+p/2). y_res (x,t) = 12(cm) cos(4/2) sin(3tx- 150rtt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(3tx- 180nt+p/2). العربية الإنجليزية ... +arrow_forward
- A traveling wave on a long strong is described by the time-dependent wave function f(x, t) = a sin(bx - qt), with a = 6.00 x 10-2 m, b = 5? m-1, and q = 314 s-1. You want a traveling wave of this frequency and wavelength but with amplitude 0.0400 m. Write the time-dependent wave function for a second traveling wave that could be added to the same string in order to achieve this.arrow_forwardA traveling wave is described by y = 10 sin (βz – ωt). Sketch the wave at t = 0 and at t = t1, when ithas advanced λ /8, if the velocity is 3 X 108 m/s and the angular frequency ω = 1 X 106 rad/s. Repeat for ω = 2 X 106 rad/s and the same t1.arrow_forwardTwo sinusoidal waves of wavelength λ = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the left with same velocity v = 50 m/s. The resultant wave function y_res (x,t) will have the form: y_res (x,t) = 12(cm) cos(φ/2) sin(150πx+3πt+φ/2). y_res (x,t) = 12(cm) cos(φ/2) sin(3πx+150πt+φ/2). y_res (x,t) = 12(cm) cos(φ/2) sin(3πx-150πt+φ/2). y_res (x,t) = 12(cm) cos(φ/2) sin(3πx-180πt+φ/2). y_res (x,t) = 12(cm) cos(φ/2) sin(150πx-3πt+φ/2).arrow_forward
- Consider a monochromatic green lightwave with wavelength λ = 550 nm (1 nm = 1 * 10-9m). Assuming the speed of light in vacuum (which is close to the one in air) to be c = 3 * 108m/s, then: A. Calculate the period τ and the optical frequency v for green light? B. Write a sinusoidal harmonic wave with unit amplitude propagating towards the negative x-axis. Consider that for x = 0 and t = 0, the (initial) phase is (π/2). C. Plot the wave profile against x for following times: t = 0, 0.25τ, 0.5τ, and 0.75τ. Assume an arbitrary unit for the y-axis.arrow_forwardProblem 4: A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a) The amplitude in meters. Part (b) The frequency, in hertz. Part (c) The wavelength in meters. Part (d) The wave speed, in meters per second. Part (e) The phase constant in radians.arrow_forwardTwo transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02 sin(4Ttx+rtt) and y2 = 0.02 sin(4Ttx-Ttt), where x and y are in meters, andt is in seconds. If after superposition, a standing wave of 3 loops is formed, then the length of the string is: O 2 m 1.5 m 0.5 m 0.75 marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning