Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 50AP
To determine
The reason why the given situation is impossible.
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Why is the following situation impossible? Tsunamis are ocean surface waves that have enormous wavelengths (100 to 200 km), and the propagation speed for these waves is υ ≈ √gdavg, where davg is the average depth of the water. An earthquake on the ocean floor in the Gulf of Alaska produces a tsunami that reaches Hilo, Hawaii, 4 450 km away, in a time interval of 5.88 h. (This method was used in 1856 to estimate the average depth of the PacificOcean long before soundings were made to give a direct determination.)
Find the speed of an ocean wave whose vertical displacement y as a function of time t is given byy(x,t) = 3.7 cos(2.2x - 5.6t), where all quantities are in SI units.
A)1.9 m/s B)3.5 m/s C)2.5 m/s D)4.5 m/s
During a thunderstorm, 3.2 s elapses between observing a lightning flash and hearing the resulting thunder. Approximately how far away in kilometers and miles was the lightning flash? (Assume the speed of sound is 344 m/s.)
Chapter 16 Solutions
Physics for Scientists and Engineers
Ch. 16.1 - Prob. 16.1QQCh. 16.2 - A sinusoidal wave of frequency f is traveling...Ch. 16.2 - The amplitude of a wave is doubled, with no other...Ch. 16.3 - Suppose you create a pulse by moving the free end...Ch. 16.4 - Which of the following, taken by itself, would be...Ch. 16.6 - If you blow across the top of an empty soft-drink...Ch. 16.8 - A vibrating guitar string makes very little sound...Ch. 16.8 - Increasing the intensity of a sound by a factor of...Ch. 16.9 - Consider detectors of water waves at three...Ch. 16.9 - You stand on a platform at a train station and...
Ch. 16.9 - An airplane flying with a constant velocity moves...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - You are working for a plumber who is laying very...Ch. 16 - You are working on a senior project and are...Ch. 16 - When a particular wire is vibrating with a...Ch. 16 - (a) Plot y versus t at x = 0 for a sinusoidal wave...Ch. 16 - Consider the sinusoidal wave of Example 16.2 with...Ch. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - (a) Write the expression for y as a function of x...Ch. 16 - Review. The elastic limit of a steel wire is 2.70 ...Ch. 16 - Transverse waves travel with a speed of 20.0 m/s...Ch. 16 - Why is the following situation impossible? An...Ch. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Prob. 14PCh. 16 - Transverse waves are being generated on a rope...Ch. 16 - In a region far from the epicenter of an...Ch. 16 - A long string carries a wave; a 6.00-m segment of...Ch. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - Prob. 20PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 22PCh. 16 - A sinusoidal sound wave moves through a medium and...Ch. 16 - Earthquakes at fault lines in the Earths crust...Ch. 16 - An experimenter wishes to generate in air a sound...Ch. 16 - A sound wave propagates in air at 27C with...Ch. 16 - Prob. 27PCh. 16 - A rescue plane flies horizontally at a constant...Ch. 16 - The speed of sound in air (in meters per second)...Ch. 16 - A sound wave moves down a cylinder as in Figure...Ch. 16 - The intensity of a sound wave at a fixed distance...Ch. 16 - The intensity of a sound wave at a fixed distance...Ch. 16 - The power output of a certain public-address...Ch. 16 - A fireworks rocket explodes at a height of 100 m...Ch. 16 - You are working at an open-air amphitheater, where...Ch. 16 - Why is the following situation impossible? It is...Ch. 16 - Show that the difference between decibel levels 1...Ch. 16 - Submarine A travels horizontally at 11.0 m/s...Ch. 16 - Prob. 39PCh. 16 - Why is the following situation impossible? At the...Ch. 16 - Review. A block with a speaker bolted to it is...Ch. 16 - Review. A block with a speaker bolted to it is...Ch. 16 - A sinusoidal wave in a rope is described by the...Ch. 16 - The wave is a particular type of pulse that can...Ch. 16 - Some studies suggest that the upper frequency...Ch. 16 - An undersea earthquake or a landslide can produce...Ch. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - A rope of total mass m and length L is suspended...Ch. 16 - A wire of density is tapered so that its...Ch. 16 - Prob. 50APCh. 16 - Prob. 51APCh. 16 - A train whistle (f = 400 Hz) sounds higher or...Ch. 16 - Review. A 150-g glider moves at v1 = 2.30 m/s on...Ch. 16 - Consider the following wave function in SI units:...Ch. 16 - Prob. 55APCh. 16 - Prob. 56APCh. 16 - A string on a musical instrument is held under...Ch. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Equation 16.40 states that at distance r away from...Ch. 16 - In Section 16.7, we derived the speed of sound in...
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- Rank 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_forwardA 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_forwardConsider a sound wave modeled with the equation s(x, t) = 4.00 nm cos (3.66 m−1 x − 1256 s−1 t). What is the maximum displacement, the wavelength, the frequency, and the speed of the sound wave?arrow_forward
- A progressive wave travelling in the x-direction is represented by the following equation: y = A sin(Bt−Cx) Given that parameters A, B and C are given in SI units calculate the velocity of the wave for A=50, B= 2303 and C= 28.arrow_forwardIf you shout across a canyon and hear the echo 0.80 s later, how wide is the canyon? Use the speed of sound as 340 m/s.arrow_forwardFour waves are described by the following equations, in which all distances are measured in centimeters and all times are measured in seconds: yA=10cos(3x−4t) yB=10cos(5x+4t) yC=20cos(−10x+60t) yD=20cos(−4x−20t) Which of these waves travel in the +x direction? Which of these waves travel in the −x direction?arrow_forward
- Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean, their amplitude is barely noticeable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian Islands in Alaska, had a wavelength of 913 km and traveled a distance of 490 m in 7 h. What was the speed (in m/s) of the wave? For reference, the speed of a 747 jetliner is about 267 m/s. No need to include the unit. Write your answer in scientific notation. (1.11e+1)arrow_forwardFour waves are described by the following equations, where distances are measured in meters and time in seconds. I. y=0.12 cos(3x-21t) II. y=0.15 sin(6x+42t) III. y=0.13 cos(6x+21t) IIII. y=-0.23 sin(3x-42t) Which of these waves have the same speed?arrow_forwardDuring a thunderstorm, 3.1 s elapses between observing a lightning flash and hearing the resulting thunder. Approximately how far away in kilometers and miles was the lightning flash? (Assume the speed of sound is 344 m/s.) km miarrow_forward
- A geological disturbance in California produces seismic waves which are detected in Phoenix, approximately 990 km from the epicenter. If the waves travel 6.3 km/s, determine the time delay between the disturbance and the detection.arrow_forwardThe velocity of the transverse waves produced by an earthquake is 6.07km/s, while that of the longitudinal waves is 11.2902km/s. A seismograph records the arrival of the transverse waves 49s after that of the longitudinal waves. How far was the earthquake in km?arrow_forwardFour waves are described by the following expressions, where distances are measured in meters and times in seconds. I) y = 0.12 cos(3x - 21t) II) y = 0.15 sin(6x + 42t) III) y = 0.13 cos(6x + 21t) IV) y = - 0.23 sin(3x - 42t) Which of these waves have the same speed? A) I and II B) I and III C) II and III D) III and IV E) II and IVarrow_forward
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