Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14, Problem 70P
To determine
To show: The any function of the form
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
.
Consider the wave function y (x,t)=(3.00cm)sin(0.4m^-1x+2.00s^-1t+π/10) What are the period, wavelength, speed, and initial phase shift of the wave modeled by the wave function?
The function y(x, t) = sin(x) cos(vt) is a solution to the wave equation. Show that the function can be
written as f(x + vt) + g(x – vt). What are f (x + vt) and g(x – vt)?
Hint: 2 cos 0 sin p = – sin(0 – p) + sin(0 + ø)
Given 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).
Chapter 14 Solutions
Essential University Physics (3rd Edition)
Ch. 14.1 - A boat bobs up and down on a water wave, moving 2...Ch. 14.2 - The figure shows snapshots of two waves...Ch. 14.3 - Two identical stars are different distances from...Ch. 14.4 - Your band needs a new guitar amplifier, and the...Ch. 14.5 - Light shines through two small holes into a dark...Ch. 14.6 - Youre holding one end of a taut rope, and you cant...Ch. 14.7 - A string 1 m long is clamped tightly at one end...Ch. 14.8 - In Fig. 14.35, which is moving faster in relation...Ch. 14 - What distinguishes a wave from an oscillation?Ch. 14 - Red light has a longer wavelength than blue light....
Ch. 14 - Prob. 3FTDCh. 14 - As a wave propagates on a string, the string moves...Ch. 14 - If you doubled the tension in a string, what would...Ch. 14 - A heavy cable is hanging vertically, its bottom...Ch. 14 - Prob. 7FTDCh. 14 - Medical ultrasound uses frequencies around 107 Hz,...Ch. 14 - If you double the pressure of a gas while keeping...Ch. 14 - Water is about a thousand times more dense than...Ch. 14 - Prob. 11FTDCh. 14 - When a wave source moves relative to the medium, a...Ch. 14 - Why can a boat easily produce a shock wave on the...Ch. 14 - Ocean waves with 18-m wavelength travel at 5.3...Ch. 14 - Prob. 15ECh. 14 - Prob. 16ECh. 14 - Prob. 17ECh. 14 - A seismograph located 1250 km from an earthquake...Ch. 14 - Medical ultrasound waves travel at about 1500 m/s...Ch. 14 - An ocean wave has period 4.1 s and wavelength 10.8...Ch. 14 - Find the (a) amplitude, (b) wavelength, (c)...Ch. 14 - Ultrasound used in a medical imager has frequency...Ch. 14 - Prob. 23ECh. 14 - Prob. 24ECh. 14 - Prob. 25ECh. 14 - A transverse wave 1.2 cm in amplitude propagates...Ch. 14 - A transverse wave with 3.0-cm amplitude and 75-cm...Ch. 14 - Prob. 28ECh. 14 - Prob. 29ECh. 14 - Show that P/ from Equation 14.9 has the units of...Ch. 14 - Find the sound speed in air under standard...Ch. 14 - Timers in sprint races start their watches when...Ch. 14 - The factor for nitrogen dioxide (NO2) is 1.29....Ch. 14 - A gas with density 1.0 kg/m3 and pressure 81 kN/m2...Ch. 14 - Prob. 35ECh. 14 - Youre flying in a twin-engine turboprop aircraft,...Ch. 14 - Prob. 37ECh. 14 - A 2.0-m-long string is clamped at both ends. (a)...Ch. 14 - When a stretched string is clamped at both ends,...Ch. 14 - A string is clamped at both ends and tensioned...Ch. 14 - A crude model of the human vocal tract treats it...Ch. 14 - A car horn emits 380-Hz sound. If the car moves at...Ch. 14 - A fire stations siren is blaring at 85 Hz. Whats...Ch. 14 - A fire trucks siren at rest wails at 1400 Hz;...Ch. 14 - Red light emitted by hydrogen atoms at rest in the...Ch. 14 - Figure 14.36 shows a simple harmonic wave at time...Ch. 14 - Prob. 47PCh. 14 - Prob. 48PCh. 14 - Figure 14.37 shows a wave train consisting of two...Ch. 14 - A loudspeaker emits energy at the rate of 50 W,...Ch. 14 - Prob. 51PCh. 14 - Prob. 52PCh. 14 - Prob. 53PCh. 14 - A wire is under 32.8-N tension, carrying a wave...Ch. 14 - A spring of mass m and spring constant k has an...Ch. 14 - Prob. 56PCh. 14 - Prob. 57PCh. 14 - Figure 14.38 shows two observers 20 m apart on a...Ch. 14 - An ideal spring is stretched to a total length L1....Ch. 14 - Prob. 60PCh. 14 - You see an airplane 5.2 km straight overhead....Ch. 14 - What are the intensities in W/m2 of sound with...Ch. 14 - Show that a doubling of sound intensity...Ch. 14 - Sound intensity from a localized source decreases...Ch. 14 - At 2.0 in from a localized sound source you...Ch. 14 - The A-string (440 Hz) on a piano is 38.9 cm long...Ch. 14 - Prob. 67PCh. 14 - Youre designing an organ for a new concert hall;...Ch. 14 - Show by differentiation and substitution that a...Ch. 14 - Prob. 70PCh. 14 - Youre a marine biologist concerned with the effect...Ch. 14 - A 2.25-m-long pipe has one end open. Among its...Ch. 14 - Prob. 73PCh. 14 - Obstetricians use ultrasound to monitor fetal...Ch. 14 - Prob. 75PCh. 14 - You move at speed u toward a wave source thats...Ch. 14 - Youre a meteorologist specifying a new Doppler...Ch. 14 - Use a computer to form the sum implied in the...Ch. 14 - Your little sister and her friend build treehouses...Ch. 14 - An airport neighborhood is concerned about the...Ch. 14 - Tsunamis are ocean waves generally produced when...Ch. 14 - Tsunamis are ocean waves generally produced when...Ch. 14 - Tsunamis are ocean waves generally produced when...Ch. 14 - Tsunamis are ocean waves generally produced when...
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 steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?arrow_forwardTwo sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forwardThe 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_forward
- Consider two wave functions y(x,t)=0.30cmsin(3m1x4s1t) and y(x,t)=0.30cmsin(3m1x+4s1t) . Write a wave function for the resulting standing wave.arrow_forwardA standing wave on a string is described by the equation y(x, t) = 1.25 sin(0.0350x) cos(1450t), where x is in centimeters, t is in seconds, and the resulting amplitude is in millimeters. a. What is the length of the string if this standing wave represents the first harmonic vibration of the string? b. What is the speed of the wave on this string?arrow_forwardA block of mass m = 5.00 kg is suspended from a wire that passes over a pulley and is attached to a wall (Fig. P17.71). Traveling waves are observed to have a speed of 33.0 m/s on the wire. a. What is the mass per unit length of the wire? b. What would the speed of waves on the wire be if the suspended mass were decreased to 2.50 kg? FIGURE P17.71arrow_forward
- Consider a wave described by the wave function y(x,t)=0.3msin(2.00m1x628.00s1t) . (a) How many crests pass by an observer at a fixed location in 2.00 minutes? (b) How far has the wave traveled in that time?arrow_forwardA sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forwardA copper wire has a radius of 200 µ m and a length of 5.0 m. The wire is placed under a tension of 3000 N and the wire stretches by a small amount. The wire is plucked and a pulse travels down the wire. What is the propagation speed of the pulse? (Assume the temperature does not change: (=8.96gcm3,Y=1.11011Nm) .)arrow_forward
- A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forwardA harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?arrow_forwardThe area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning