Physics for Scientists and Engineers, Volume 1
9th Edition
ISBN: 9781133954156
Author: Raymond A. Serway
Publisher: CENGAGE L
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Textbook Question
Chapter 16, Problem 16.12P
Consider the sinusoidal wave of Example 16.2 with the wave function
where x and y are in meters and t is in seconds. At a certain instant, let point A be at the origin and point B be the closest point to A along the x axis where the wave is 60.0° out of phase with A. What is the coordinate of B?
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Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
Chapter 16 Solutions
Physics for Scientists and Engineers, Volume 1
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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