PHYSICS 1250 PACKAGE >CI<
9th Edition
ISBN: 9781305000988
Author: SERWAY
Publisher: CENGAGE LEARNING (CUSTOM)
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Chapter 16, Problem 16.2P
Ocean waves with a crest-to-crest distance of 10.0 m can be described by the wave function
y(x, t) = 0.800 sin [0.628(x - υt)]
where x and y are in meters, t is in seconds, and υ = 1.20 m/s. (a) Sketch y(x, t) at t = 0. (b) Sketch y(x, t) at t = 2.00 s. (c) Compare the graph in part (b) with that for part (a) and explain similarities and differences. (d) How has the wave moved between graph (a) and graph (b)?
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Ocean waves with a wavelength of 8.5 m and velocity v = 1.20 m/s can be modeled using the equation shown,
y(x, t) = (0.67 m) sin [(0.739 m-¹)(x
-
(x - vt)].
Note that x and y are in meters and t is in seconds.
(a) Choose the graph of y(x, t) at t = 0.
y (m)
y (m)
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0.6
0.4
5
0.2
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10
15
-0.2
-0.4
-0.6
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y (m)
0.6
0.4
0.2
x (m)
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-0.2
-0.4
-0.6
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In this case, t = 0. Find the graph of the function y(x, t) = (0.67m) sin((0.739m-¹)x].
.....:
10
15
x (m)
0-10
x (m)
O
y (m)
0.6
0.4
0.2
-0.2
-0.4
-0.6
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A
15
x (m)
Q
A certain transverse wave is described by y (x, t) = (6.50 mm) cos 2π (x / 28.0 cm - t / 0.0360s) where t is expressed in seconds and x in centimeters. Determine (a) the amplitude, (b) frequency, (c) wavelength, and (d) the speed of wave propagation.
The amplitude of a wave disturbance
M20 (1
positive x-direction is given by y =
Tetromabruts esd (1+x)²
by y =
1 ad m
travelling in the
at time t = 0 and
[1 + (x − 1)²]
-
at t = 2 s, where x and y are in metre.
The shape of the wave disturbance does not change during
the propagation. The velocity of the wave is...... m/s.
Chapter 16 Solutions
PHYSICS 1250 PACKAGE >CI<
Ch. 16 - Prob. 16.1QQCh. 16 - A sinusoidal wave of frequency f is traveling...Ch. 16 - The amplitude of a wave is doubled, with no other...Ch. 16 - Suppose you create a pulse by moving the free end...Ch. 16 - Which of the following, taken by itself, would be...Ch. 16 - If one end of a heavy rope is attached to one end...Ch. 16 - Prob. 16.2OQCh. 16 - Rank the waves represented by the following...Ch. 16 - By what factor would von have to multiply the...Ch. 16 - When all the strings on a guitar (Fig. OQ16.5) are...
Ch. 16 - Which of the following statements is not...Ch. 16 - Prob. 16.7OQCh. 16 - Prob. 16.8OQCh. 16 - The distance between two successive peaks of a...Ch. 16 - Prob. 16.1CQCh. 16 - (a) How would you create a longitudinal wave in a...Ch. 16 - When a pulse travels on a taut string, does it...Ch. 16 - Prob. 16.4CQCh. 16 - If you steadily shake one end of a taut rope three...Ch. 16 - (a) If a long rope is hung from a ceiling and...Ch. 16 - Why is a pulse on a string considered to be...Ch. 16 - Does the vertical speed of an element of a...Ch. 16 - In an earthquake, both S (transverse) and P...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Ocean waves with a crest-to-crest distance of 10.0...Ch. 16 - At t = 0, a transverse pulse in a wire is...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - A wave is described by y = 0.020 0 sin (kx - t),...Ch. 16 - A certain uniform string is held under constant...Ch. 16 - A sinusoidal wave is traveling along a rope. The...Ch. 16 - For a certain transverse wave, the distance...Ch. 16 - Prob. 16.9PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - The string shown in Figure P16.11 is driven at a...Ch. 16 - Consider the sinusoidal wave of Example 16.2 with...Ch. 16 - Prob. 16.13PCh. 16 - (a) Plot y versus t at x = 0 for a sinusoidal wave...Ch. 16 - A transverse wave on a siring is described by the...Ch. 16 - A wave on a string is described by the wave...Ch. 16 - A sinusoidal wave is described by the wave...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 - A transverse sinusoidal wave on a string has a...Ch. 16 - Review. The elastic limit of a steel wire is 2.70 ...Ch. 16 - A piano siring having a mass per unit length equal...Ch. 16 - Transverse waves travel with a speed of 20.0 m/s...Ch. 16 - A student taking a quiz finds on a reference sheet...Ch. 16 - An Ethernet cable is 4.00 in long. The cable has a...Ch. 16 - A transverse traveling wave on a taut wire has an...Ch. 16 - A steel wire of length 30.0 m and a copper wire of...Ch. 16 - Why is the following situation impossible? An...Ch. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Review. A light string with a mass per unit length...Ch. 16 - Prob. 16.31PCh. 16 - In a region far from the epicenter of an...Ch. 16 - Transverse waves are being generated on a rope...Ch. 16 - Sinusoidal waves 5.00 cm in amplitude are to be...Ch. 16 - A sinusoidal wave on a string is described by die...Ch. 16 - A taut tope has a mass of 0.180 kg and a length...Ch. 16 - A long string carries a wave; a 6.00-m segment of...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - The wave function for a wave on a taut siring is...Ch. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - Prob. 16.41PCh. 16 - Prob. 16.42PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 16.44PCh. 16 - Prob. 16.45APCh. 16 - The wave is a particular type of pulse that can...Ch. 16 - A sinusoidal wave in a rope is described by the...Ch. 16 - The ocean floor in underlain by a layer of basalt...Ch. 16 - Review. A 2.00-kg I Jock hangs from a rubber cord,...Ch. 16 - Review. A block of mass M hangs from a rubber...Ch. 16 - A transverse wave on a sting described by the wave...Ch. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Review. A block of mass M, supported by a string,...Ch. 16 - An undersea earthquake or a landslide can produce...Ch. 16 - Review. A block of mass M = 0.450 kg is attached...Ch. 16 - Review. A block of mass M = 0.450 kg is attached...Ch. 16 - Prob. 16.57APCh. 16 - Prob. 16.58APCh. 16 - A wire of density is tapered so that its...Ch. 16 - A rope of total mass m and length L is suspended...Ch. 16 - Prob. 16.61APCh. 16 - Prob. 16.62APCh. 16 - Review. An aluminum wire is held between two...Ch. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Prob. 16.65CPCh. 16 - A string on a musical instrument is held under...Ch. 16 - If a loop of chain is spun at high speed, it can...
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