PHYSICS F./SCI... W/MOD V.II W/KIT
4th Edition
ISBN: 9780134819884
Author: GIANCOLI
Publisher: PEARSON
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Chapter 15, Problem 45P
To determine
The possible resonant period of motions of the bridge and their frequency, when the footbridge oscillates up and down in loop every
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(i) In a long line of people waiting to buy tickets, the first person leaves and a pulse of motion occurs as people step forward to fill the gap. As each person steps forward, the gap moves through the line. Is the propagation of this gap (a) transverse or (b) longitudinal? (ii) Consider “the wave” at a baseball game: people stand up and raise their arms as the pulse arrives at their location, and the resultant pulse moves around the stadium. Is this pulse (a) transverse or (b) longitudinal?
(c) Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 39.4 kHz, find the distance between adjacent antinodes for this mode of vibration. Assume the speed of sound is 343 m/s.
One end of a string is vibrated harmonic up and down by a vibrator with a frequency of 10 Hz and an amplitude of 6 cm, so that the vibration propagates to the right along a long rope with a speed of 20 m/s. If the vibrating source vibrates for the first time, determine :
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Chapter 15 Solutions
PHYSICS F./SCI... W/MOD V.II W/KIT
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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- If you were to shake the end of a taut spring up and down 10 times a second, what would be the frequency and the period of the sinusoidal wave produced on the spring?arrow_forwardSuppose a diving beard wi1h no one on it bounces up and down in a simple harmonic motion with a frequency of 4.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 75.0kg diver on the board?arrow_forwardA string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?arrow_forward
- The overall length of a piccolo is 32.0 cm. The resonating air column is open at both ends. (a) Find the frequency of the lowest note a piccolo can sound. (b) Opening holes in the side of a piccolo effectively shortens the length of the resonant column. Assume the highest note a piccolo can sound is 4 000 Hz. Find the distance between adjacent anti-nodes for this mode of vibration.arrow_forwardA harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?arrow_forwardIf the tension in a string were increased by a factor of four, by what factor would the wave speed of a wave on the string increase?arrow_forward
- To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?arrow_forwardThe overall length of a piccolo is 32.0 cm. The resonating air column is open at both ends, (a) Find the frequency of the lowest note a piccolo can sound. (b) Opening holes in the side of a piccolo effectively shortens the length of the resonant column. Assume the highest note a piccolo can sound is 4 000 Hz. Find the distance between adjacent antinodes for this mode of vibration.arrow_forwardA cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?arrow_forward
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