Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
5th Edition
ISBN: 9780134402628
Author: Douglas C. Giancoli
Publisher: PEARSON
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What is the fastest transverse wave that can be sent along a given wire? For safety reasons, the maximum tensile stress to which this
wire should be subjected is 5.28 × 108 N/m². The density of the wire is 8020 kg/m3. Note that your answer does not depend on the
diameter of the wire.
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The density of copper is 8.9x10^3kg/m^3 and the density of gold is 1.9x10^4kg/m^3. When two wires of equal length, one made from copper and the other from gold, are held under the same tension, the wave speed in the gold wire is found to be half that of the copper wire. What is the ratio of the diameters of the two wires?
A copper wire has a density of 8920 kg per cubic meter, a radius of 1.5mm and an unknown length. The wire is held under a tension of 12N. transverse waves are sent through the wire, (a) determine the linear density of the wire, (b) determine the speed through which wave travel through the wire.
Chapter 15 Solutions
Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
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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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_forwardA piano wire has a linear mass density of μ = 4.95 × 10−3 kg/m. Under what tension must the string be kept to produce waves with a wave speed of 500.00 m/s?arrow_forwardYou must determine the length of a long, thin wire that is suspended from the ceiling in the atrium of a tall building. A 2.00-cm-long piece of the wire is left over from its installation. Using an analytical balance, you determine that the mass of the spare piece is 14.5 mg. You then hang a 0.400 kg mass from the lower end of the long, suspended wire. When a small-amplitude transverse wave pulse is sent up that wire, sensors at both ends measure that it takes the wave pulse 26.7 ms to travel the length of the wire. (a) Use these measurements to calculate the length of the wire. Assume that the weight of the wire has a negligible effect on the speed of the transverse waves. (b) Discuss the accuracy of the approximation made in part (a).arrow_forward
- A steel cable has a cross-sectional area 3.83 x 103 m2 and is kept under a tension of 1.68 x 104 N. The density of steel is 7860 kg/m³. Note that this value is not the linear density of the cable. At what speed does a transverse wave move along the cable?arrow_forward(a) What is the fastest transverse wave that can be sent along a steel wire? For safety reasons, the maximum tensile stress to which steel wires should be subjected is 7.00 * 108 N/m2.The density of steel is 7800 kg/m3. (b) Does your answer depend on the diameter of the wire?arrow_forwardA copper wire, whose cross-sectional area is 8.58 x 106 m², has a linear density of 6.18 x 103 kg/m and is strung between two walls. At the ambient temperature, a transverse wave travels with a speed of 60.8 m/s on this wire. The coefficient of linear expansion for copper is 17 x 10-6 (Cº)-1, and Young's modulus for copper is 1.1 x 10¹1 N/m². What will be the speed of the wave when the temperature is lowered by 26.5 Cº? Ignore any change in the linear density caused by the change in temperature. Number i Unitsarrow_forward
- A plano wire has a linear mass density of 4.55 x 10-3 kg/m. Under what tension (in N) must the string be kept to produce waves with a wave speed of 600.00 m/s?arrow_forwardTwo steel guitar strings A and B have the same length and are under the same tension. String A has a diameter of 0.65 mm and string B has a diameter 1.17 mm. Treat the stretched-out strings as right cylinders with length L and radius r having volume π r2 L. You may assume that both strings are made of the same material, so they have the same density. The ratio of the wave speeds, vA/vB, in the two strings is?arrow_forwardA guitar string of length L = 1.01 m is oriented along the x-direction and under a tension of T = 79 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 4.7 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string. Calculate the mass per unit length μ of the guitar string in kg / m. Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string. 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?arrow_forward
- 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_forwardA piano wire has a linear mass density of μ=4.95×10^−3kg/m Under what tension must the string be kept to produce waves with a wave speed of 500.00 m/s?arrow_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
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