PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
10th Edition
ISBN: 9781337888462
Author: SERWAY
Publisher: CENGAGE L
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Chapter 16, Problem 18P
A two-dimensional water wave spreads in circular ripples. Show that the amplitude A at a distance r from the initial disturbance is proportional to
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A two-dimensional water wave spreads in circular ripples. Show that the amplitude A at a distance r from the initial disturbance is proportional to 1/√r. Suggestion: Consider the energy carried by one outward-moving ripple.
A 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.
A wave is modeled by the wave function:
y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)]
1) Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s and the value of amplitude A=1.3m.
Chapter 16 Solutions
PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
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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