College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 11, Problem 36P
* You have two synchronously vibrating objects in an infinitely large pool. The distance between them is 6.0 m. Their frequency of vibration is 2.0 Hz and the wave speed is 4.0 m/s. The vibrations are sinusoidal. Find a location between them where the water does not vibrate and another location between them where the water vibrates with the largest amplitude. In this case, neglect the decrease of amplitude with distance.
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If the initial position of a block is x = .16 meters and its initial velocity is - 5 m/s, and K = 100 N/m and M = 3 kg.a) What is the angular frequency w, frequency f, period T?b) What is the amplitude A, phase angle ?c) Write the general equations for x, v, and a.d) What is the absolute value of the maximum values of x, v, a, K.E., U?e) When does the velocity 1st reach its maximum value?f) How many seconds will it take for the PE of spring to equal three times KE of block?
(Answers) (Please show general formulas if you can to solve similar problems, thank you)
a) w= 5.77 rad/s, f = .92 Hz, T = 1.088 sec
b) A = .88 meters, phase angle = 2.96 rads
c) x = .88sin(5.77t + 2.96), v = 5.1cos(5.77t + 2.96),
a = -29.4sin(5.55t + 2.96)
d) xmax= .88 meters, vm= 5.1 m/s, am= 29.4 m/s2, KEm= 38.7 Joules,
Um= 38.7 J
e) t = .58seconds
f)t1= .213sec & t2= .394sec & t3= .758sec & t4= .939sec
Strong winds can apply a significant enough force to tall skyscrapers to set them into a back-and-forth motion. The amplitudes of these motions are greater at the higher floors and barely observable for the lower floors. It is said that one can even observe the vibrational motion of the Sears Tower in Chicago on a windy day. As the Sears Tower vibrates back and forth, it makes about 8.6 vibrations in 60 seconds. Determine the frequency and the period of vibration of the Sears Tower.
The human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 4.26 kHz and an amplitude of nm (roughly the diameter of a single hydrogen atom), what is its maximum speed of vibration? (Amazinglythe ear can detect vibrations with amplitudes even smaller than this!)
Chapter 11 Solutions
College Physics
Ch. 11 - How do you produce a longitudinal wave on a...Ch. 11 - Compare and contrast the speed of a vibrating...Ch. 11 - Prob. 3RQCh. 11 - Prob. 4RQCh. 11 - Why is it impossible to create a traveling wave on...Ch. 11 - Your friend says that it is impossible for two...Ch. 11 - Is the following sentence true? When two...Ch. 11 - One end of a horizontal string of length L passes...Ch. 11 - When we studied traveling waves, we decided that...Ch. 11 - An ambulance siren blares continuously as the...
Ch. 11 - What does it mean if the speed of a wave is 300 m...Ch. 11 - 2. What does it mean if the wavelength of a wave...Ch. 11 - 3. If you wish to represent one period of a wave...Ch. 11 - 4. If you wish to graph the disturbance pattern of...Ch. 11 - Which mathematical expression represents a...Ch. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - 8. Figure Q11.8 shows the...Ch. 11 - Prob. 9MCQCh. 11 - Prob. 10CQCh. 11 - 11. Figure Q11.11 shows a snapshot of two pulses...Ch. 11 - 12. Can a wave have a period of 2.0 s, a speed of...Ch. 11 - 13. What physics ideas were necessary to construct...Ch. 11 - 14. How do you know that the wavelength of a wave...Ch. 11 - What conditions are necessary to create a...Ch. 11 - Invent and describe an experiment to estimate the...Ch. 11 - Prob. 17CQCh. 11 - 18. Describe two useful types of information a...Ch. 11 - 19. Two speakers hang from racks placed in an open...Ch. 11 - Two identical sound waves are sent down a long...Ch. 11 - Sound waves of all frequencies in the audio...Ch. 11 - How can you show that an object producing sound...Ch. 11 - Describe the common features and differences...Ch. 11 - 24. Why do different guitar strings sound...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Assume that the speed of sound in air is 340 m/s...Ch. 11 - Prob. 14PCh. 11 - Telephone line A telephone lineman is told to...Ch. 11 - 16. * A pulse travels at speed v on a stretched...Ch. 11 - 17. A 0.62-kg Slinky has 185 coils. When you and...Ch. 11 - =100g/m and the middle section is made from rope...Ch. 11 - Show using a sketch and mathematics that the...Ch. 11 - Show using a sketch and mathematics that the...Ch. 11 - 22. * You are standing at position A and your...Ch. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 26PCh. 11 - 27. Sound wave in Earth A sound wave created by an...Ch. 11 - A 5.0-kg rope that is 20 m long is woven to an...Ch. 11 - Prob. 29PCh. 11 - Repeat the previous problem for the case where the...Ch. 11 - Prob. 31PCh. 11 - 32. Two waves shown in Figure P11.32 at zero...Ch. 11 - Prob. 33PCh. 11 - 34. * Use Huygens' principle and a wave front...Ch. 11 - Prob. 35PCh. 11 - 36. * You have two synchronously vibrating objects...Ch. 11 - Design Describe an experiment to convince a friend...Ch. 11 - 38. The energy of a sound wave is proportional to...Ch. 11 - Prob. 39PCh. 11 - * Supersonic jet The sound intensity 5 km from the...Ch. 11 - * You are in an open field investigating how sound...Ch. 11 - One loudspeaker is producing a tone of frequency...Ch. 11 - 43. * Tovi is playing a flute and Dawn is playing...Ch. 11 - Music in music a very soft sound called...Ch. 11 - 45. Two sounds differ by 1 dB. What is the...Ch. 11 - 46. Calculate the change in intensity level when a...Ch. 11 - Prob. 47PCh. 11 - 48. Banjo fret How far from the end of the banjo...Ch. 11 - * Violin string A 0.33-m-long violin string has a...Ch. 11 - A person secures a 5.0-m-long rope of mass 0.40 kg...Ch. 11 - 51. * Laura and Elana are discussing how to solve...Ch. 11 - Prob. 52PCh. 11 - * Ratio reasoning By what percent does the...Ch. 11 - Prob. 54PCh. 11 - 55. * Brooklyn-Battery Tunnel The 2779-m...Ch. 11 - * Flute A wooden flute, open at both ends, is 0.48...Ch. 11 - Organ pipe The lowest three standing wave...Ch. 11 - The speed of sound can be measured using the...Ch. 11 - Prob. 59PCh. 11 - 60. * A rope of length L is attached to a...Ch. 11 - 61. * A 3.0-m-long rope with a mass of 100 g is...Ch. 11 - * A 1.2-m-long open-closed pipe is producing sound...Ch. 11 - * Figure P11.63 shows the spectrum of sound that...Ch. 11 - Prob. 64PCh. 11 - * See the spectrum in Figure P11.63. (a) Can this...Ch. 11 - Car horn A car horn vibrates at a frequency of 250...Ch. 11 - Train whistle A car drives at a speed of 25 m/s...Ch. 11 - 68. * BIO Speed of blood A source of ultrasound...Ch. 11 - 69. * Circular motion sound source A whistle with...Ch. 11 - BIO Bat echo A bat emits short pulses of sound at...Ch. 11 - 105 Hz emits sound waves and detects the same...Ch. 11 - * Violin strings The speed of a wave on a violin A...Ch. 11 - 73. * Use Huygens' principle and a wave front...Ch. 11 - Prob. 74GPCh. 11 - Prob. 75GPCh. 11 - s teammate shouts at her to catch a ball. Estimate...Ch. 11 - 77. ** EST While camping, you record a thunderclap...Ch. 11 - 78. ** BIO Blood speed A red blood cell travels at...Ch. 11 - Prob. 80RPPCh. 11 - 81. If the car from Problem 11.80 is moving at 20...Ch. 11 - 82. Which answer below is closest to the distance...Ch. 11 - Compare your answers to Problems 11.80 and 11.82....Ch. 11 - While your car from Problem 11.80 is stationary,...Ch. 11 - Prob. 85RPPCh. 11 - Prob. 86RPPCh. 11 - 87. What amplifies the air pressure in the ear?
a....Ch. 11 - Where is the mechanism that allows the ear to...Ch. 11 - Prob. 89RPPCh. 11 - The threshold for pressure variation of a barely...
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