Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 17, Problem 3P
Two wave pulses A and B are moving in opposite directions, each with a speed v = 2.00 cm/s. The amplitude of A is twice the amplitude of B. The pulses are shown in Figure P17.3 at t = 0. Sketch the resultant wave at t = 1.00 s, 1.50 s, 2.00 s, 2.50 s, and 3.00 s.
Figure P17.3
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Chapter 17 Solutions
Physics for Scientists and Engineers
Ch. 17.1 - Prob. 17.1QQCh. 17.2 - Consider the waves in Figure 17.8 to be waves on a...Ch. 17.4 - When a standing wave is set up on a string fixed...Ch. 17.6 - Prob. 17.4QQCh. 17.6 - Balboa Park in San Diego has an outdoor organ....Ch. 17 - Two waves on one string are described by the wave...Ch. 17 - Two pulses of different amplitudes approach each...Ch. 17 - Two wave pulses A and B are moving in opposite...Ch. 17 - Why is the following situation impossible? Two...Ch. 17 - Two pulses traveling on the same string are...
Ch. 17 - Two identical loudspeakers 10.0 m apart are driven...Ch. 17 - Two sinusoidal waves on a string are defined by...Ch. 17 - Verify by direct substitution that the wave...Ch. 17 - Prob. 9PCh. 17 - A standing wave is described by the wave function...Ch. 17 - Prob. 11PCh. 17 - A taut string has a length of 2.60 m and is fixed...Ch. 17 - A string that is 30.0 cm long and has a mass per...Ch. 17 - In the arrangement shown in Figure P17.14, an...Ch. 17 - Review. A sphere of mass M = 1.00 kg is supported...Ch. 17 - Review. A sphere of mass M is supported by a...Ch. 17 - Prob. 17PCh. 17 - Review. A solid copper object hangs at the bottom...Ch. 17 - The Bay of Fundy, Nova Scotia, has the highest...Ch. 17 - Prob. 20PCh. 17 - The fundamental frequency of an open organ pipe...Ch. 17 - Ever since seeing Figure 16.22 in the previous...Ch. 17 - An air column in a glass tube is open at one end...Ch. 17 - A shower stall has dimensions 86.0 cm 86.0 cm ...Ch. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - Prob. 29PCh. 17 - Why is the following situation impossible? A...Ch. 17 - Review. A student holds a tuning fork oscillating...Ch. 17 - Prob. 32PCh. 17 - Suppose a flutist plays a 523-Hz C note with first...Ch. 17 - Two strings are vibrating at the same frequency of...Ch. 17 - Prob. 35APCh. 17 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 17 - Prob. 37APCh. 17 - You are working as an assistant to a landscape...Ch. 17 - Review. Consider the apparatus shown in Figure...Ch. 17 - Review. For the arrangement shown in Figure...Ch. 17 - Review. A loudspeaker at the front of a room and...Ch. 17 - Two speakers are driven by the same oscillator of...Ch. 17 - A standing wave is set up in a string of variable...Ch. 17 - Review. The top end of a yo-yo string is held...Ch. 17 - Prob. 45APCh. 17 - Prob. 46APCh. 17 - Review. A 12.0-kg object hangs in equilibrium from...Ch. 17 - Review. An object of mass m hangs in equilibrium...Ch. 17 - Two waves are described by the wave functions...Ch. 17 - Prob. 50CP
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- As in Figure P18.16, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 102 kg/m, creating a standing transverse wave. There is a 3.6-kg block hanging from the other end of the rope over a pulley. The oscillator has an angular frequency of 43.2 rad/s and an amplitude of 24.6 cm. a. What is the distance between adjacent nodes? b. If the angular frequency of the oscillator doubles, what happens to the distance between adjacent nodes? c. If the mass of the block is doubled instead, what happens to the distance between adjacent nodes? d. If the amplitude of the oscillator is doubled, what happens to the distance between adjacent nodes? FIGURE P18.16arrow_forwardThe string shown in Figure P13.5 is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 12.0 cm, and the wave speed is v = 20.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. Determine (a) the angular frequency and (b) the wave number for this wave. (c) Write an expression for the wave function. Calculate (d) the maximum transverse speed and (e) the maximum transverse acceleration of an element of the string. Figure P13.5arrow_forwardTwo traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)] y2 = 5.00 sin [(4.00x 1 200t 0.250)] where x, y1 and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2? (b) What is the frequency of the resultant wave function?arrow_forward
- A 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_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_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
- Two pulses of different amplitudes approach each other, each having a speed of v = 1.00 m/s. Figure P17.2 shows the positions of the pulses at time t = 0. (a) Sketch the resultant wave at t = 2.00 s, 4.00 s, 5.00 s, and 6.00 s. (b) What If? If the pulse on the right is inverted so that it is upright, how would your sketches of the resultant wave change? Figure P17.2arrow_forwardA string with a mass m = 8.00 g and a length L = 5.00 m has one end attached to a wall; the other end is draped over a small, fixed pulley a distance d = 4.00 m from the wall and attached to a hanging object with a mass M = 4.00 kg as in Figure P14.21. If the horizontal part of the string is plucked, what is the fundamental frequency of its vibration? Figure P14.21arrow_forwardThe sinusoidal wave shown in Figure P13.41 is traveling in the positive x-direction and has a frequency of 18.0 Hz. Find the (a) amplitude, (b) wavelength, (c) period, and (d) speed of the wave. Figure P13.41arrow_forward
- The string shown in Figure P16.11 is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 12.0 cm, and the wave speed is v = 20.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. Determine (a) the angular frequency and (b) the wave number for this wave. (c) Write an expression for the wave function. Calculate (d) the maximum transverse speed and (e) the maximum transverse acceleration of an element of the string.arrow_forwardA transverse sinusoidal wave on a string has a period T = 25.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, an element of the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. (a) What is the amplitude of the wave? (b) What is the initial phase angle? (c) What is the maximum transverse speed of an element of the string? (d) Write the wave function for the wave.arrow_forwardA 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_forward
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