Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
4th Edition
ISBN: 9780132273244
Author: Doug Giancoli
Publisher: PEARSON
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Chapter 15, Problem 61P
To determine
The harmonics from
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(II) On an electric guitar, a "pickup" under each string trans-
forms the string's vibrations directly into an electrical
signal. If a pickup is placed 16.25 cm from one of the fixed ends
of a 65.00-cm-long string, which of the harmonics from
n = 1 to n = 12 will not be "picked up" by this pickup?
%3D
(II) An ocean fishing boat is drifting just above a school of
tuna on a foggy day. Without warning, an engine backfire
occurs on another boat 1.55 km away (Fig. 12–33). How
much time elapses
before the backfire is
heard (a) by the fish,
and (b) by the
fishermen?
(b)
_1.55 km
(a)
FIGURE 12-33
Problem 5.
The frequency of vibrations of a vibrating violin string is given by
where L is the length of the string. Tis its tension, and p is its linear density.
(a) Find the rate of change of the frequency with respect to the following.
(1) the length (when Tand p are constant)
(ii) the tension (when L and p are constant)
( 1/(4Lv/Tp )|
(ii) the linear density (when L and Tare constant)
-(1/(41)(/T )(p
p(¯i),
Chapter 15 Solutions
Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
Ch. 15.1 - Prob. 1AECh. 15.1 - You notice a water Wave pass by the end of a pier...Ch. 15.2 - A wave starts at the left end of a long cord (see...Ch. 15.4 - A wave is given by D(x, t) = (5.0 mm) sin(2.0x ...Ch. 15 - Prob. 1QCh. 15 - Explain the difference between the speed of a...Ch. 15 - Prob. 3QCh. 15 - What kind of waves do you think will travel down a...Ch. 15 - Prob. 5QCh. 15 - Prob. 6Q
Ch. 15 - The speed of sound in most solids is somewhat...Ch. 15 - Give two reasons why circular water waves decrease...Ch. 15 - Prob. 9QCh. 15 - Will any function of (x t)see Eq. 1514represent a...Ch. 15 - When a sinusoidal wave crosses the boundary...Ch. 15 - If a sinusoidal wave on a two-section cord (Fig....Ch. 15 - Is energy always conserved when two waves...Ch. 15 - Prob. 14QCh. 15 - When a standing wave exists on a string, the...Ch. 15 - Prob. 16QCh. 15 - When a cord is vibrated as in Fig. 1525 by hand or...Ch. 15 - AM radio signals can usually be heard behind a...Ch. 15 - Prob. 19QCh. 15 - (I) A fisherman notices that wave crests pass the...Ch. 15 - (I) A sound wave in air has a frequency of 262 Hz...Ch. 15 - (I) Calculate the speed of longitudinal waves in...Ch. 15 - (1) AM radio signals have frequencies between 550...Ch. 15 - (I) Determine the wavelength of a 5800-Hz sound...Ch. 15 - (II) A cord of mass 0.65 kg is stretched between...Ch. 15 - (II) A 0.40-kg cord is stretched between two...Ch. 15 - (II) A sailor strikes the side of his ship just...Ch. 15 - (II) A ski gondola is connected to the top of a...Ch. 15 - Prob. 10PCh. 15 - (II) The wave on a string shown in Fig. 1533 is...Ch. 15 - (II) A 5.0kg ball hangs from a steel wire 1.00 mm...Ch. 15 - (II) Two children are sending signals along a cord...Ch. 15 - (II) Dimensional analysis. Waves on the surface of...Ch. 15 - Prob. 15PCh. 15 - (II) What is the ratio of (a) the intensities, and...Ch. 15 - (II) Show that if damping is ignored, the...Ch. 15 - (II) The intensity of an earthquake wave passing...Ch. 15 - (II) A small steel wire of diameter 1.0 mm is...Ch. 15 - (II) Show that the intensity of a wave is equal to...Ch. 15 - (II) (a) Show that the average rate with which...Ch. 15 - (I) A transverse wave on a wire is given by D(x,...Ch. 15 - Prob. 23PCh. 15 - (II) A transverse traveling wave on a cord is...Ch. 15 - (II) Consider the point x = 1.00 m on the cord of...Ch. 15 - (II) A transverse wave on a cord is given by D(x,...Ch. 15 - (II) A transverse wave pulse travels to the right...Ch. 15 - (II) A 524-Hz longitudinal wave in air has a speed...Ch. 15 - (II) Write the equation for the wave in Problem 28...Ch. 15 - (II) A sinusoidal wave traveling on a string in...Ch. 15 - (II) Determine if the function D = A sin k x cos t...Ch. 15 - (II) Show by direct substitution that the...Ch. 15 - Prob. 33PCh. 15 - (II) Let two linear waves be represented by D1 =...Ch. 15 - Prob. 35PCh. 15 - Prob. 36PCh. 15 - (II) A cord has two sections with linear densities...Ch. 15 - Prob. 38PCh. 15 - (II) Seismic reflection prospecting is commonly...Ch. 15 - (III) A cord stretched to a tension FT consists of...Ch. 15 - (I) The two pulses shown in Fig. 1536 are moving...Ch. 15 - Prob. 42PCh. 15 - (I) A violin siring vibrates at 441 Hz when...Ch. 15 - (I) If a violin string vibrates at 294 Hz as its...Ch. 15 - Prob. 45PCh. 15 - (I) A particular string resonates in four loops at...Ch. 15 - (II) A cord of length 1.0 m has two equal-length...Ch. 15 - (II) The velocity of waves on a string is 96 m/s....Ch. 15 - (II) If two successive harmonics of a vibrating...Ch. 15 - (II) A guitar string is 90.0 cm long and has a...Ch. 15 - (II) Show that the frequency of standing waves on...Ch. 15 - (II) One end of a horizontal string of linear...Ch. 15 - (II) In Problem 52, Fig. 1537, the length of the...Ch. 15 - Prob. 54PCh. 15 - Prob. 55PCh. 15 - (II) When you slosh the water back and forth in a...Ch. 15 - (II) A particular violin string plays at a...Ch. 15 - (II) Two traveling waves are described by the...Ch. 15 - (II) Plot the two waves given in Problem 58 and...Ch. 15 - Prob. 60PCh. 15 - Prob. 61PCh. 15 - (II) A 65-cm guitar string is fixed at both ends....Ch. 15 - (II) Two oppositely directed traveling waves given...Ch. 15 - Prob. 64PCh. 15 - (I) An earthquake P wave traveling 8.0 km/s...Ch. 15 - (I) Water waves approach an underwater shelf where...Ch. 15 - (II) A sound wave is traveling in warm air (25C)...Ch. 15 - (II) Any type of wave that reaches a boundary...Ch. 15 - Prob. 69PCh. 15 - (II) A satellite dish is about 0.5 m in diameter....Ch. 15 - Prob. 71GPCh. 15 - Prob. 72GPCh. 15 - Prob. 73GPCh. 15 - Prob. 74GPCh. 15 - A bug on the surface of a pond is observed to move...Ch. 15 - A guitar string is supposed to vibrate at 247 Hz,...Ch. 15 - Prob. 77GPCh. 15 - A uniform cord of length l and mass m is hung...Ch. 15 - A transverse wave pulse travels to the right along...Ch. 15 - (a) Show that if the tension in a stretched string...Ch. 15 - Two strings on a musical instrument are tuned to...Ch. 15 - The ripples in a certain groove 10.8 cm from the...Ch. 15 - A 10.0-m-long wire of mass 152g is stretched under...Ch. 15 - A wave with a frequency of 220 Hz and a wavelength...Ch. 15 - Prob. 85GPCh. 15 - A highway overpass was observed to resonate as one...Ch. 15 - Prob. 87GPCh. 15 - Estimate the average power of a water wave when it...Ch. 15 - Prob. 89GPCh. 15 - Two wave pulses are traveling in opposite...Ch. 15 - Prob. 91GPCh. 15 - What frequency of sound would have a wavelength...Ch. 15 - (II) Consider a wave generated by the periodic...Ch. 15 - (II) The displacement of a bell-shaped wave pulse...
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- A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?arrow_forwardA string of a length of 2.00 m with a linear mass density of =0.006 kg/m is attached to the end of a 2.00-m-long string with a linear mass density of =0.012 kg/m. The free end of the higher-density string is fixed to the wall, and a student holds the free end of the low-density string, keeping the tension constant in both strings. The student sends a pulse down the string. Describe what happens at the interface between the two strings.arrow_forwardWine glasses can be set into resonance by moistening your finger and rubbing it around the rim of the glass. Why?arrow_forward
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