1 Introduction, Measurement, Estimating 2 Describing Motion: Kinematics In One Dimension 3 Kinematics In Two Or Three Dimensions; Vectors 4 Dynamics: Newton's Laws Of Motion 5 Using Newton's Laws: Friction, Circular Motion, Drag Forces 6 Gravitation And Newton's Synthesis 7 Work And Energy 8 Conservation Of Energy 9 Linear Momentum 10 Rotationalmotion 11 Angular Momentum; General Rotation 12 Static Equilibrium; Elasticity And Fracture 13 Fluids 14 Oscillations 15 Wave Motion 16 Sound 17 Temperature, Thermal Expansion And The Ideal Gas Law 18 Kinetic Theory Of Gases 19 Heat And The First Law Of Thermodynamics 20 Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss's Law 23 Electric Potential 24 Capacitance, Dielectrics, Electric Energy Storage 25 Electric Currents And Resistance 26 Dc Circuits 27 Magnetism 28 Sources Of Magnetic Field 29 Electromagnetic Induction And Faraday's Law 30 Inductance, Electromagnetic Oscillations, And Ac Circuits 31 Maxwell's Equation And Electromagnetic Waves 32 Light: Reflection And Refraction 33 Lenses And Optical Instruments 34 The Wave Nature Of Light: Interference 35 Diffraction And Polarization 36 Special Theory Of Relativity 37 Early Quantum Theory And Models Of The Atom 38 Quantum Mechanics 39 Quantum Mechanics Of Atoms 40 Molecules And Solids 41 Nuclear Physics And Radioactivity 42 Nuclear Energy; Effects And Uses Of Radiation 43 Elementary Particles 44 Astrophysics And Cosmology expand_more
15.1 Characteristics Of Wave Motion 15.2 Types Of Waves: Transverse And Longitudinal 15.3 Energy Transported By Waves 15.4 Mathematical Representation Of A Traveling Wave 15.5 The Wave Equation 15.6 The Principle Of Superposition 15.7 Reflection And Transmission 15.8 Interference 15.9 Standing Waves; Resonance 15.10 Refraction 15.11 Diffraction Chapter Questions expand_more
Problem 1Q Problem 2Q: Explain the difference between the speed of a transverse wave traveling down a cord and the speed of... Problem 3Q Problem 4Q: What kind of waves do you think will travel down a horizontal metal rod if you strike its end (a)... Problem 5Q Problem 6Q Problem 7Q: The speed of sound in most solids is somewhat greater than in air, yet the density of solids is much... Problem 8Q: Give two reasons why circular water waves decrease in amplitude as they travel away from the source. Problem 9Q Problem 10Q: Will any function of (x t)see Eq. 1514represent a wave motion? Why? Or why or not? If not, give an... Problem 11Q: When a sinusoidal wave crosses the boundary between two sections of cord as in Fig. 1519, the... Problem 12Q: If a sinusoidal wave on a two-section cord (Fig. 1519) is inverted upon reflection, does the... Problem 13Q: Is energy always conserved when two waves interfere? Explain. Problem 14Q Problem 15Q: When a standing wave exists on a string, the vibrations of incident and reflected waves cancel at... Problem 16Q Problem 17Q: When a cord is vibrated as in Fig. 1525 by hand or by a mechanical oscillator, the nodes are not... Problem 18Q: AM radio signals can usually be heard behind a hill, but FM often cannot. That is, AM signals bend... Problem 19Q Problem 1P: (I) A fisherman notices that wave crests pass the bow of his anchored boat every 3.0 s. He measures... Problem 2P: (I) A sound wave in air has a frequency of 262 Hz and travels with a speed of 343 m/s. How far apart... Problem 3P: (I) Calculate the speed of longitudinal waves in (a) water, (b) granite, and (c) steel. Problem 4P: (1) AM radio signals have frequencies between 550 kHz and 1600 kHz (kilohertz) and travel with a... Problem 5P: (I) Determine the wavelength of a 5800-Hz sound wave traveling along an iron rod. Problem 6P: (II) A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If the tension in the... Problem 7P: (II) A 0.40-kg cord is stretched between two supports. 7.8 m apart. When one support is struck by a... Problem 8P: (II) A sailor strikes the side of his ship just below the surface of the sea. He hears the echo of... Problem 9P: (II) A ski gondola is connected to the top of a hill by a steel cable of length 660 m and diameter... Problem 10P Problem 11P: (II) The wave on a string shown in Fig. 1533 is moving to the right with a speed of 1.10 m/s. (a)... Problem 12P: (II) A 5.0kg ball hangs from a steel wire 1.00 mm in diameter and 5.00 m long. What would be the... Problem 13P: (II) Two children are sending signals along a cord of total mass 0.50 kg tied between tin cans with... Problem 14P: (II) Dimensional analysis. Waves on the surface of the ocean do not depend significantly on the... Problem 15P Problem 16P: (II) What is the ratio of (a) the intensities, and (b) the amplitudes, of an earthquake P wave... Problem 17P: (II) Show that if damping is ignored, the amplitude A of circular water waves decreases as the... Problem 18P: (II) The intensity of an earthquake wave passing through the Earth is measured to be 3.0 106 J/m2 ... Problem 19P: (II) A small steel wire of diameter 1.0 mm is connected to an oscillator and is under a tension of... Problem 20P: (II) Show that the intensity of a wave is equal to the energy density (energy per unit volume) in... Problem 21P: (II) (a) Show that the average rate with which energy is transported along a cord by a mechanical... Problem 22P: (I) A transverse wave on a wire is given by D(x, t) 0.015 sin (25x 1200t) where D and x are in... Problem 23P Problem 24P: (II) A transverse traveling wave on a cord is represented by D = 0.22 sin (5.6x + 34t) where D and x... Problem 25P: (II) Consider the point x = 1.00 m on the cord of Example 155. Determine (a) the maximum velocity of... Problem 26P: (II) A transverse wave on a cord is given by D(x, t) = 0.12 sin (3.0x 15.0t), where D and x are in... Problem 27P: (II) A transverse wave pulse travels to the right along a string with a speed v = 2.0 m/s. At t = 0... Problem 28P: (II) A 524-Hz longitudinal wave in air has a speed of 345 m/s. (a) What is the wavelength? (b) How... Problem 29P: (II) Write the equation for the wave in Problem 28 traveling to the right, if its amplitude is 0.020... Problem 30P: (II) A sinusoidal wave traveling on a string in the negative x direction has amplitude 1.00 cm,... Problem 31P: (II) Determine if the function D = A sin k x cos t is a solution of the wave equation. Problem 32P: (II) Show by direct substitution that the following functions satisfy the wave equation: (a) D(x, t)... Problem 33P Problem 34P: (II) Let two linear waves be represented by D1 = f1(x, t) and D2 = f2(x, t). If both these waves... Problem 35P Problem 36P Problem 37P: (II) A cord has two sections with linear densities of 0.10 kg/m and 0.20 kg/m. Fig. 1534. An... Problem 38P Problem 39P: (II) Seismic reflection prospecting is commonly used to map deeply buried formations containing oil.... Problem 40P: (III) A cord stretched to a tension FT consists of two sections (as in Fig. 1519) whose linear... Problem 41P: (I) The two pulses shown in Fig. 1536 are moving toward each other, (a) Sketch the shape of the... Problem 42P Problem 43P: (I) A violin siring vibrates at 441 Hz when unfingered. At what frequency will it vibrate if it is... Problem 44P: (I) If a violin string vibrates at 294 Hz as its fundamental frequency, what are the frequencies of... Problem 45P Problem 46P: (I) A particular string resonates in four loops at a frequency of 280 Hz. Name at least three other... Problem 47P: (II) A cord of length 1.0 m has two equal-length sections with linear densities of 0.50 kg/m and... Problem 48P: (II) The velocity of waves on a string is 96 m/s. If the frequency of standing waves is 445 Hz, how... Problem 49P: (II) If two successive harmonics of a vibrating string are 240 Hz and 320 Hz, what is the frequency... Problem 50P: (II) A guitar string is 90.0 cm long and has a mass of 3.16g. From the bridge to the support post (=... Problem 51P: (II) Show that the frequency of standing waves on a cord of length and linear density , which is... Problem 52P: (II) One end of a horizontal string of linear density 6.6 104 kg/m is attached to a small-amplitude... Problem 53P: (II) In Problem 52, Fig. 1537, the length of the string may be adjusted by moving the pulley. If the... Problem 54P Problem 55P Problem 56P: (II) When you slosh the water back and forth in a tub at just the right frequency, the water... Problem 57P: (II) A particular violin string plays at a frequency of 294 Hz. If the tension is increased 15%,... Problem 58P: (II) Two traveling waves are described by the functions D1=Asin(kxt)D2=Asin(kx+t), where A = 0.15m,... Problem 59P: (II) Plot the two waves given in Problem 58 and their sum, as a function of time from t = 0 to t = T... Problem 60P Problem 61P Problem 62P: (II) A 65-cm guitar string is fixed at both ends. In the frequency range between 1.0 and 2.0 kHz,... Problem 63P: (II) Two oppositely directed traveling waves given by D1 = (5.0 mm) cos[(2.0m1)x (3.0 rad/s)t] and... Problem 64P Problem 65P: (I) An earthquake P wave traveling 8.0 km/s strikes a boundary within the Earth between two kinds of... Problem 66P: (I) Water waves approach an underwater shelf where the velocity changes from 2.8 m/s to 2.5 m/s. If... Problem 67P: (II) A sound wave is traveling in warm air (25C) when it hits a layer of cold (15C) denser air. If... Problem 68P: (II) Any type of wave that reaches a boundary beyond which its speed is increased, there is a... Problem 69P Problem 70P: (II) A satellite dish is about 0.5 m in diameter. According to the users manual, the dish has to be... Problem 71GP Problem 72GP Problem 73GP Problem 74GP Problem 75GP: A bug on the surface of a pond is observed to move up and down a total vertical distance of 0.10 m,... Problem 76GP: A guitar string is supposed to vibrate at 247 Hz, but is measured to actually vibrate at 255 Hz. By... Problem 77GP Problem 78GP: A uniform cord of length l and mass m is hung vertically from a support. (a) Show that the speed of... Problem 79GP: A transverse wave pulse travels to the right along a string with a speed v = 2.4 m/s. At t = 0 the... Problem 80GP: (a) Show that if the tension in a stretched string is changed by a small amount FT, the frequency of... Problem 81GP: Two strings on a musical instrument are tuned to play at 392 Hz (G) and 494 Hz (B). (a) What are the... Problem 82GP: The ripples in a certain groove 10.8 cm from the center of a 33-rpm phonograph record have a... Problem 83GP: A 10.0-m-long wire of mass 152g is stretched under a tension of 255 N. A pulse is generated at one... Problem 84GP: A wave with a frequency of 220 Hz and a wavelength of 10.0 cm is traveling along a cord. The maximum... Problem 85GP Problem 86GP: A highway overpass was observed to resonate as one full loop (12) when a small earthquake shook the... Problem 87GP Problem 88GP: Estimate the average power of a water wave when it hits the chest of an adult standing in the water... Problem 89GP Problem 90GP: Two wave pulses are traveling in opposite directions with the same speed of 7.0 cm/s as shown in... Problem 91GP Problem 92GP: What frequency of sound would have a wavelength the same size as a 1.0-m-wide window? (The speed of... Problem 93GP: (II) Consider a wave generated by the periodic vibration of a source and given by the expression... Problem 94GP: (II) The displacement of a bell-shaped wave pulse is described by a relation that involves the... format_list_bulleted