University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 15, Problem 15.14E
(a)
To determine
To draw: The graph of
(b)
To determine
To describe: Whether the particle is moving, speeding up, slowing down or instantaneously not accelerating.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A wave is modeled by the wave function:
y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)]
We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows:
y1 (t) = A sin (2πf1t)
y2 (t) = A sin (2πf2t)
Find the resultant wave function analytically.
Study how the resulting wave behaves in time.
Problem 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.
What is the direction of propagation of the wave de scribed in the wave function *
rad
y = (0.30 m) sin (12)
|t + (10 m-1)x|
O (A) left to right
O (B) right to left
O (C) top to bottom
(D)diagonal
Chapter 15 Solutions
University Physics with Modern Physics (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
- 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_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_forwardRank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)arrow_forward
- 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.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_forwardA sinusoidal wave on a string is described by the wave function yy(xx,tt) = 0.02 sin(30xx − 400tt) (SIunits). If the string’s linear mass density is μμ = 0.005 kg/m, then the transmitted power is:arrow_forward
- The equation of a wave in the international system SI, which propagates by a string is given by the expression: y(x,t)=0,08cos[2π(2x-4t)] Determine the values of the elongation at a point located 2m from the origin at the instant t=5s.arrow_forwardA certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(x/L−t/τ)], where B = 6.30 mm, LLlambda = 30.0 cm, and τ = 3.20×10−2 ss. Determine the wave's amplitude. Express your answer in meters. Determine the wave's wavelength. Express your answer in meters. Determine the wave's frequency. Express your answer in hertzes . Determine the wave's speed of propagation. Express your answer in meters per second. Determine the wave's direction of propagation. +x or -x?arrow_forwardConsider a composite wave formed by two plane waves with slightly different frequencies of 0, = 2.7 x 1012 rad/s and aw2 = 2.9 × 1012 rad/s and respective wavelengths A1 = 17.0 nm and 2 16.0 nm. Calculate the propagation velocity %D of the envelope wave and give your results in units of m/s with 1 digit precision, rounding off to one decimal place, i.e. the nearest tenth. (time budget 5min)arrow_forward
- If you two waves Y1 = 5 sin (4x - 2t) and Y2 = 5 sin (4x - 2t + a/3) move in the opposite direction and superimpose with each other to create a resultant wave. Consider, the amplitude of the resultant wave: Yo = 10 cos (T/6) = 8.66 Make comments on the amplitude of the resultant wave results.arrow_forwardcan you please ans (a), (b) & (c)?arrow_forwardTwo sinusoidal waves of the same frequency travel in the same direction along a string. If Ym1 = 4.1 cm, Ym2 = 3.9 cm, P₁ = 0, and ₂ = π/3 rad, what is the 42 amplitude of the resultant wave? Number i Units <arrow_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
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University