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Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 18.1, Problem 18.2CE
To determine
Sketch the rope at the instant when two pulses overlaps.
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Chapter 18 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 18.1 - As shown in Figure 18.3, two pulses trawling along...Ch. 18.1 - Prob. 18.2CECh. 18.2 - A wave pulse travels to the left on a rope as...Ch. 18.3 - Noise cancellation headphones use a microphone to...Ch. 18.8 - Tuning the Guitar Before a performance, a piano is...Ch. 18 - Prob. 1PQCh. 18 - Two pulses travel in opposite directions along a...Ch. 18 - Prob. 3PQCh. 18 - Prob. 4PQCh. 18 - Prob. 5PQ
Ch. 18 - The wave function for a pulse on a rope is given...Ch. 18 - Prob. 7PQCh. 18 - Prob. 8PQCh. 18 - Prob. 9PQCh. 18 - Prob. 10PQCh. 18 - Prob. 11PQCh. 18 - Two speakers, facing each other and separated by a...Ch. 18 - Prob. 13PQCh. 18 - Prob. 14PQCh. 18 - Prob. 15PQCh. 18 - As in Figure P18.16, a simple harmonic oscillator...Ch. 18 - A standing wave on a string is described by the...Ch. 18 - The resultant wave from the interference of two...Ch. 18 - A standing transverse wave on a string of length...Ch. 18 - Prob. 20PQCh. 18 - Prob. 21PQCh. 18 - Prob. 22PQCh. 18 - Prob. 23PQCh. 18 - A violin string vibrates at 294 Hz when its full...Ch. 18 - Two successive harmonics on a string fixed at both...Ch. 18 - Prob. 26PQCh. 18 - When a string fixed at both ends resonates in its...Ch. 18 - Prob. 28PQCh. 18 - Prob. 29PQCh. 18 - A string fixed at both ends resonates in its...Ch. 18 - Prob. 31PQCh. 18 - Prob. 32PQCh. 18 - Prob. 33PQCh. 18 - If you touch the string in Problem 33 at an...Ch. 18 - A 0.530-g nylon guitar string 58.5 cm in length...Ch. 18 - Prob. 36PQCh. 18 - Prob. 37PQCh. 18 - A barrel organ is shown in Figure P18.38. Such...Ch. 18 - Prob. 39PQCh. 18 - Prob. 40PQCh. 18 - The Channel Tunnel, or Chunnel, stretches 37.9 km...Ch. 18 - Prob. 42PQCh. 18 - Prob. 43PQCh. 18 - Prob. 44PQCh. 18 - If the aluminum rod in Example 18.6 were free at...Ch. 18 - Prob. 46PQCh. 18 - Prob. 47PQCh. 18 - Prob. 48PQCh. 18 - Prob. 49PQCh. 18 - Prob. 50PQCh. 18 - Prob. 51PQCh. 18 - Prob. 52PQCh. 18 - Prob. 53PQCh. 18 - Dog whistles operate at frequencies above the...Ch. 18 - Prob. 55PQCh. 18 - Prob. 56PQCh. 18 - Prob. 57PQCh. 18 - Prob. 58PQCh. 18 - Prob. 59PQCh. 18 - Prob. 60PQCh. 18 - Prob. 61PQCh. 18 - Prob. 62PQCh. 18 - The functions y1=2(2x+5t)2+4andy2=2(2x5t3)2+4...Ch. 18 - Prob. 64PQCh. 18 - Prob. 65PQCh. 18 - Prob. 66PQCh. 18 - Prob. 67PQCh. 18 - Prob. 68PQCh. 18 - Two successive harmonic frequencies of vibration...Ch. 18 - Prob. 70PQCh. 18 - Prob. 71PQCh. 18 - Prob. 72PQCh. 18 - A pipe is observed to have a fundamental frequency...Ch. 18 - The wave function for a standing wave on a...Ch. 18 - Prob. 75PQCh. 18 - Prob. 76PQCh. 18 - Prob. 77PQCh. 18 - Prob. 78PQCh. 18 - Prob. 79PQCh. 18 - Prob. 80PQ
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- Two pulses travel in opposite directions along a string. One pulse is traveling to the right. The other pulse is inverted, with half the width and twice the amplitude of the first pulse, moving to the left as shown in Figure P18.2. Sketch the shape of the string at the moment in time when the centers of each pulse are at the same location. FIGURE P18.2arrow_forwardAs shown in Figure 18.3, two pulses trawling along the same rope toward each other have the same amplitude. Draw a sketch of the rope at the instant the pulses completely overlap. FIGURE 18.3arrow_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 pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that is defined at time t=0.00s by the equation y(s)=6.00m3x2+2.00m2 centered around x=0.00m . The pulse moves with a velocity of v=3.00m/s in the positive x-direction. (a) What is the amplitude of the pulse? (b) What is the equation of the pulse as a function of position and time? (c) Where is the pulse centered at time t=5.00s ?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_forwardA swimmer in the ocean observes one day that the ocean surface waves are periodic and resemble a sine wave. The swimmer estimates that the vertical distance between the crest and the trough of each wave is approximately 0.45 m, and the distance between each crest is approximately 1.8 m. The swimmer counts that 12 waves pass every two minutes. Determine the simple harmonic wave function that would describes these waves.arrow_forward
- The displacement of the air molecules in sound wave is modeled with the wave function s(x,t)=5.00nmcos(91.54m1x3.14104s1t) . (a) What is the wave speed of the sound wave? (b) What is the maximum speed of the air molecules as they oscillate in simple harmonic motion? (c) What is the magnitude of the maximum acceleration of the air molecules as they oscillate in simple harmonic motion?arrow_forwardConsider 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_forwardAs oppositely moving pulses of the same shape (one upward, one downward) on a string pass through each other, at one particular instant the string shows no displacement from the equilibrium position at any point. What has happened to the energy carried by the pulses at this instant of time? (a) It was used up in producing the previous motion. (b) It is all potential energy. (c) It is all internal energy. (d) It is all kinetic energy. (e) The positive energy of one pulse adds to zero with the negative energy of the other pulse.arrow_forward
- When two tuning forks are sounded at the same time, a beat frequency of 5 Hz occurs. If one of the tuning forks has a frequency of 245 Hz, what is the frequency of the other tuning fork? (a) 240 Hz (b) 242.5 Hz (c) 247.5 Hz (d) 250 Hz (e) More than one answer could be correct.arrow_forwardTwo 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_forwardConsider the following wave function in SI units: P(r,t)=(25.0r)sin(1.36r2030t) Explain how this wave function can apply to a wave radiating from a small source, with r being the radial distance from the center of the source to any point outside the source. Give the most detailed description of the wave that you can. Include answers to such questions as the following and give representative values for any quantities that can be evaluated. (a) Does the wave move more toward the right or the left? (b) As it moves away from the source, what happens to its amplitude? (c) Its speed? (d) Its frequency? (e) Its wavelength? (f) Its power? (g) Its intensity?arrow_forward
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