EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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(V.) Suppose a transverse wave has function D=4.0(mm)sin(2.0(pi)x-(pi)t), and pass by a medium travel in the direction of positive x. Here is x in the meters and t is in seconds. Find out the following information: a) Wavelength b) Frequency of wave, c) Period of wave, d) wave speed, e) vibration frequency of particle in the meidum f) maximum speed of the particle and direction, g) maximum displacement of this particle, h) the maximum acceleration and direction of this particle
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The amplitude of a wave disturbance
M20 (1
positive x-direction is given by y =
Tetromabruts esd (1+x)²
by y =
1 ad m
travelling in the
at time t = 0 and
[1 + (x − 1)²]
-
at t = 2 s, where x and y are in metre.
The shape of the wave disturbance does not change during
the propagation. The velocity of the wave is...... m/s.
Chapter 15 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 15.1 - Prob. 1AECh. 15.1 - You notice a water Wave pass by the end of a pier...Ch. 15.2 - A wave starts at the left end of a long cord (see...Ch. 15.4 - A wave is given by D(x, t) = (5.0 mm) sin(2.0x ...Ch. 15 - Prob. 1QCh. 15 - Explain the difference between the speed of a...Ch. 15 - Prob. 3QCh. 15 - What kind of waves do you think will travel down a...Ch. 15 - Prob. 5QCh. 15 - Prob. 6Q
Ch. 15 - The speed of sound in most solids is somewhat...Ch. 15 - Give two reasons why circular water waves decrease...Ch. 15 - Prob. 9QCh. 15 - Will any function of (x t)see Eq. 1514represent a...Ch. 15 - When a sinusoidal wave crosses the boundary...Ch. 15 - If a sinusoidal wave on a two-section cord (Fig....Ch. 15 - Is energy always conserved when two waves...Ch. 15 - Prob. 14QCh. 15 - Prob. 15QCh. 15 - Prob. 16QCh. 15 - Prob. 17QCh. 15 - Prob. 18QCh. 15 - When a standing wave exists on a string, the...Ch. 15 - When a cord is vibrated as in Fig. 1525 by hand or...Ch. 15 - AM radio signals can usually be heard behind a...Ch. 15 - Prob. 22QCh. 15 - Prob. 1MCQCh. 15 - Prob. 2MCQCh. 15 - Prob. 3MCQCh. 15 - Prob. 4MCQCh. 15 - Prob. 5MCQCh. 15 - Prob. 6MCQCh. 15 - Prob. 7MCQCh. 15 - Prob. 8MCQCh. 15 - Prob. 9MCQCh. 15 - Prob. 10MCQCh. 15 - Prob. 11MCQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - (I) Calculate the speed of longitudinal waves in...Ch. 15 - (1) AM radio signals have frequencies between 550...Ch. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - (II) Show that the intensity of a wave is equal to...Ch. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - (II) A transverse wave pulse travels to the right...Ch. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - (II) Write the equation for the wave in Problem 28...Ch. 15 - (II) A sinusoidal wave traveling on a string in...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - (II) Determine if the function D = A sin k x cos t...Ch. 15 - (II) Show by direct substitution that the...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - (II) A cord has two sections with linear densities...Ch. 15 - (III) A cord stretched to a tension FT consists of...Ch. 15 - (I) The two pulses shown in Fig. 1536 are moving...Ch. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - (I) If a violin string vibrates at 294 Hz as its...Ch. 15 - Prob. 47PCh. 15 - Prob. 48PCh. 15 - (II) The velocity of waves on a string is 96 m/s....Ch. 15 - Prob. 50PCh. 15 - Prob. 51PCh. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - (II) In Problem 52, Fig. 1537, the length of the...Ch. 15 - Prob. 55PCh. 15 - Prob. 56PCh. 15 - Prob. 57PCh. 15 - Prob. 58PCh. 15 - (II) Plot the two waves given in Problem 58 and...Ch. 15 - Prob. 60PCh. 15 - Prob. 61PCh. 15 - (II) Two oppositely directed traveling waves given...Ch. 15 - Prob. 63PCh. 15 - Prob. 64PCh. 15 - (I) An earthquake P wave traveling 8.0 km/s...Ch. 15 - Prob. 67PCh. 15 - (I) Water waves approach an underwater shelf where...Ch. 15 - Prob. 69PCh. 15 - Prob. 70PCh. 15 - Prob. 71GPCh. 15 - Prob. 72GPCh. 15 - (II) Seismic reflection prospecting is commonly...Ch. 15 - Prob. 74GPCh. 15 - A bug on the surface of a pond is observed to move...Ch. 15 - Prob. 76GPCh. 15 - Prob. 77GPCh. 15 - Prob. 78GPCh. 15 - Prob. 79GPCh. 15 - Prob. 80GPCh. 15 - A transverse wave pulse travels to the right along...Ch. 15 - (a) Show that if the tension in a stretched string...Ch. 15 - Prob. 83GPCh. 15 - Prob. 84GPCh. 15 - Two strings on a musical instrument are tuned to...Ch. 15 - The ripples in a certain groove 10.8 cm from the...Ch. 15 - Prob. 87GPCh. 15 - Prob. 88GPCh. 15 - Prob. 90GPCh. 15 - A highway overpass was observed to resonate as one...Ch. 15 - Prob. 92GPCh. 15 - Estimate the average power of a water wave when it...Ch. 15 - Prob. 94GPCh. 15 - Two wave pulses are traveling in opposite...Ch. 15 - Prob. 96GP
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- A 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_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_forwardA string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.arrow_forward
- A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?arrow_forwardConsider what is shown below. A 20.00-kg mass rests on a frictionless ramp inclined at 45° . A string with a linear mass density of =0.025 kg/m is attached to the 20.00-kg mass. The string passes over a frictionless pulley of negligible mass and is attached to a hanging mass (m). The system is in static equilibrium. A wave is induced on the string and travels up the ramp. (a) What is the mass of the hanging mass (m)? (b) At what wave speed does the wave travel up the string?arrow_forwardEquation 16.40 states that at distance r away from a point source with power (Power)avg, the wave intensity is I=(Power)avg4r2 Study Figure 16.25 and prove that at distance r straight in front of a point source with power (Power)avg moving with constant speed vS the wave intensity is I=(Power)avg4r2(vvSv)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 series of pulses, each of amplitude 0.150 m, are sent down a string that is attached to a post at one end. The pulses are reflected at the post and travel back along the string without loss of amplitude. When two waves are present on the same string, the net displacement of a particular element of the string is the sum of the displacements of the individual waves at that point. What is the net displacement of an element at a point on the string where two pulses are crossing (a) if the string is rigidly attached to the post and (b) if the end at which reflection occurs is free to slide up and down?arrow_forwardA 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 and the other is attached to a spring with a spring constant of ks=100 N/m. The free end of the spring is attached to another lab pole. The tension in the string is maintained by the spring. The lab poles are separated by a distance that stretches the spring 2.00 cm. The string is plucked and a pulse travels along the string. What is the propagation speed of the pulse?arrow_forward
- If the tension in a string were increased by a factor of four, by what factor would the wave speed of a wave on the string increase?arrow_forwardThe speed of a transverse wave on a string is 300.00 m/s, its wavelength is 0.50 m, and the amplitude is 20.00 cm. How much time is required for a particle on the string to move through a distance of 5.00 km?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
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