College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 16, Problem 17CQ
Two identical waves undergo pure constructive interference. Is the resultant intensity twice that of the individual waves? Explain your answer.
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Chapter 16 Solutions
College Physics
Ch. 16 - Describe a system in which elastic potential...Ch. 16 - What conditions must be met to produce simple...Ch. 16 - (a) If frequency is not constant for some...Ch. 16 - Give an example of a simple harmonic oscillator,...Ch. 16 - Explain why you expect an object made of a stiff...Ch. 16 - As you pass freight truck with a trailer on a...Ch. 16 - Some people modify cars to be much closet to me...Ch. 16 - Pendulum clocks are made to run at the correct...Ch. 16 - Explain in terms of energy how dissipative forces...Ch. 16 - Give an example of a damped harmonic oscillator....
Ch. 16 - How would a car bounce after a bump under each of...Ch. 16 - Most harmonic oscillators are damped and, if...Ch. 16 - Why are soldiers in general ordered to “route...Ch. 16 - Give one example of a transverse wave and another...Ch. 16 - What is the difference between propagation speed...Ch. 16 - Speakers in stereo systems have two colorcoded...Ch. 16 - Two identical waves undergo pure constructive...Ch. 16 - Circular water waves decrease in amplitude as they...Ch. 16 - Fish ate hung on a spring scale to determine their...Ch. 16 - It is weighin time for the local under85kg rugby...Ch. 16 - One type of BB gun uses a spring-driven plunger to...Ch. 16 - (a) The springs of a pickup truck act like a...Ch. 16 - When an 80.0kg man stands on a pogo stick, the...Ch. 16 - A spring has a length of 0.200 m when a 0.300kg...Ch. 16 - What is the period of 60.0 Hz electrical power?Ch. 16 - If your heart rate is 150 beats per minute during...Ch. 16 - Find the frequency of a tuning fork that takes...Ch. 16 - A stroboscope is set to flash every 8.00105s. What...Ch. 16 - A tire has a tread pattern with a crevice every...Ch. 16 - Engineering Application Each piston of an engine...Ch. 16 - A type of cuckoo clock keeps time by having a mass...Ch. 16 - If the spring constant of a simple harmonic...Ch. 16 - A 0.500kg mass suspended from a spring oscillates...Ch. 16 - By how much leeway (both percentage and mass)...Ch. 16 - Suppose you attach the object with mass m to a...Ch. 16 - A diver on a diving board is undergoing simple...Ch. 16 - Suppose a diving beard wi1h no one on it bounces...Ch. 16 - Figure 15.46 This child’s toy relies on springs to...Ch. 16 - A 90.0kg skydiver hanging from a parachute bounces...Ch. 16 - What is the leng1h of a pendulum that has a period...Ch. 16 - Some people think a pendulum with a period of 1.00...Ch. 16 - What is the period of a 1.00mlong pendulum?Ch. 16 - How long does it take a child on a swing to...Ch. 16 - The pendulum on a cuckoo clock is 5.00 cm long....Ch. 16 - Two parakeets sit on a swing with their combined...Ch. 16 - (a) A pendulum that has a period of 3.00000 s and...Ch. 16 - A pendulum with a period of 2.00000 s in one...Ch. 16 - (a) What is the effect on the period of a pendulum...Ch. 16 - Find the ratio of the new/old periods of a...Ch. 16 - At what rate will a pendulum clock run on me Moon,...Ch. 16 - Suppose the length of a clock’s pendulum is...Ch. 16 - If a pendulumdriven clock gains 5.00 s/day, what...Ch. 16 - The length of nylon rope from which a mountain...Ch. 16 - Engineering Application Near the top of the...Ch. 16 - (a) What is me maximum 1nreluzmcity at an 85.0kg...Ch. 16 - A novelty clock has a 0.0100kg mass object...Ch. 16 - At what positions is the speed of a simple...Ch. 16 - A ladybug sits 12.0 cm from the center of a...Ch. 16 - The amplitude of a lightly damped oscillator...Ch. 16 - How much energy must the shock absorbers of a...Ch. 16 - If a car has a suspension system with a force...Ch. 16 - (a) How much will a spring that has a force...Ch. 16 - Suppose you have a 0.750kg object on a horizontal...Ch. 16 - Engineering Application: A suspension bridge...Ch. 16 - Stems in the South Pacific can create waves that...Ch. 16 - Waves on a swimming pool propagate at 0.750m/s....Ch. 16 - Wind gusts create ripples on the ocean that have a...Ch. 16 - How many times a minute does a boat bob up and...Ch. 16 - Scouts at a camp shake the rope bridge may have...Ch. 16 - What is the wavelength of the waves you create in...Ch. 16 - What is the wavelength of an earthquake that...Ch. 16 - Radio waves transmitted through space at...Ch. 16 - Your ear is capable of differentiating sounds that...Ch. 16 - (a) Seismographs measure the arrival times of...Ch. 16 - A car has two horns, one emitting a frequency of...Ch. 16 - The middleChammer of a piano hits two strings,...Ch. 16 - Two tuning forks having frequencies of 460 and 464...Ch. 16 - Twin jet engines on an airplane are producing an...Ch. 16 - A wave traveling on a Slinky® mat is stretched to...Ch. 16 - Three adjacent keys on a piano (F, F—sharp, and G)...Ch. 16 - Medical Application Ultrasound of intensity...Ch. 16 - The low-frequency speaker of a stereo set hag a...Ch. 16 - To increase intensity of a wave by a factor of 50,...Ch. 16 - Engineering Application A device called an...Ch. 16 - Astronomy Application Energy from the Sun arrives...Ch. 16 - Suppose you have a device that extracts energy...Ch. 16 - Engineering Application (a) A photovoltaic array...Ch. 16 - A microphone receiving a pure sound tone feeds an...Ch. 16 - Medical Application (a) What is the intensity in...
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- Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . What is the wave function resulting from the interference of the two wave? (Hint: sin()=sincoscossin and =2+2 .)arrow_forwardConsider two waves defined by the wave functions y1(x,t)=0.50msin(23.00mx+24.00st) and y2(x,t)=0.50msin(26.00mx24.00st) . What are the similarities and differences between the two waves?arrow_forwardTwo sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?arrow_forward
- Two speakers, facing each other and separated by a distance d, each emit a pure tone of the same amplitude A with frequency f. The speed of each of the sound waves is vs. A listener stands between the speakers, a distance x from one of the speakers. a. What frequencies would cause a dead spot (complete destructive interference) at the listeners position? b. If the speakers are separated by 5.00 m with the listener 2.00 m from one of the speakers, what is the lowest frequency for which there is a dead spot? The speed of sound in air is 343 m/s.arrow_forwardConsider two wave functions y(x,t)=0.30cmsin(3m1x4s1t) and y(x,t)=0.30cmsin(3m1x+4s1t) . Write a wave function for the resulting standing wave.arrow_forwardShown below are three waves that were sent down a string at different times. The tension in the string remains constant. (a) Rank the waves from the smallest wavelength to the largest wavelength. (b) Rank the waves from the lowest frequency to the highest frequency.arrow_forward
- If a piece of ribbon were tied to a stretched string carrying a transverse wave, then how is the ribbon observed to oscillate? (6.2) (a) perpendicular to wave direction (b) parallel to wave direction (c) neither (a) nor (b) (d) both (a) and (b)arrow_forwardA trough with dimensions 10.00 meters by 0.10 meters by 0.10 meters is partially filled with water. Smallamplitude surface water waves are produced from both ends of the trough by paddles oscillating in simple harmonic motion. The height of the water waves are modeled with two sinusoidal wave equations, y1(x,t)=0.3msin(4m1x3s1t) and y2(x,t)=0.3mcos(4m1x+3s1t2) . What is the wave function of the resulting wave after the waves reach one another and before they reach the end of the trough (i.e., assume that there are only two waves in the trough and ignore reflections)? Use a spreadsheet to check your results. (Hint: Use the trig identities sin(uv)=sinucosvcosusinv and sin(uv)=sinucosvcosusinvarrow_forwardTwo sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive interference occurs at points whose distances from the two sources are (a) 0.84 and 0.42 m, (b) 0.21 and 0.42 m, (c) 1.26 and 0.42 m, (d) 1.87 and 1.45 m, (e) 0.63 and 0.84 m and (f) 1.47 and 1.26 m.arrow_forward
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