81   

An amplified guitar has a sound intensity level that is 14 dB greater than the same unamplified sound. What is the ratio of the amplified intensity to the unamplified intensity?

Answer
Example 9




 82   

A sonar unit on a submarine sends out a pulse of sound into seawater. The pulse returns 1.30 s later. What is the distance to the object that reflects the pulse back to the submarine?





 83   

Argon (molecular mass=39.9 u) is a monatomic gas. Assuming that it behaves like an ideal gas at 298 K (g=1.67), find (a) the rms speed of argon atoms and (b) the speed of sound in argon.

Answer
SSM
Example 4




 84   

Interactive LearningWare 16.2 provides some pertinent background for this problem. A convertible moves toward you and then passes you; all the while, its loudspeakers are producing a sound. The speed of the car is a constant 9.00 m/s, and the speed of sound is 343 m/s. What is the ratio of the frequency you hear while the car is approaching to the frequency you hear while the car is moving away?





 85   

The middle C string on a piano is under a tension of 944 N. The period and wavelength of a wave on this string are 3.82 ms and 1.26 m, respectively. Find the linear density of the string.

Hint
Answer
SSM
Example 2




 86   

Tsunamis are fast-moving waves often generated by under-water earthquakes. In the deep ocean their amplitude is barely noticeable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 750 km and traveled a distance of 3700 km in 5.3 h. (a) What was the speed (in m/s) of the wave? For reference, the speed of a 747 jetliner is about 250 m/s. Find the wave’s (b) frequency and (c) period.





 87   

When a person wears a hearing aid, the sound intensity level increases by 30.0 dB. By what factor does the sound intensity increase?

Answer
SSM
Example 9




 88   

A rocket in a fireworks display explodes high in the air. The sound spreads out uniformly in all directions. The intensity of the sound is 2.0×10–6 W/m2 at a distance of 120 m from the explosion. Find the distance from the source at which the intensity is 0.80×10–6 W/m2.

Example 7




 89   

The right-most key on a piano produces a sound wave that has a frequency of 4185.6 Hz. Assuming that the speed of sound in air is 343 m/s, find the corresponding wavelength.

Answer




 90   

The displacement (in meters) of a wave is given according to y=0.26 sin (pt3.7px), where t is in seconds and x is in meters. (a) Is the wave traveling in the +x or –x direction? (b) What is the displacement y when t=38 s and x=13 m?





 91   

From a vantage point very close to the track at a stock car race, you hear the sound emitted by a moving car. You detect a frequency that is 0.86 times smaller than that emitted by the car when it is stationary. The speed of sound is 343 m/s. What is the speed of the car?

Hint
Answer
SSM




 92   

A sound wave is incident on a pool of fresh water. The sound enters the water perpendicularly and travels a distance of 0.45 m before striking a 0.15-m-thick copper block lying on the bottom. The sound passes through the block, reflects from the bottom surface of the block, and returns to the top of the water along the same path. How much time elapses between when the sound enters and when it leaves the water?





 93   

A listener doubles his distance from a source that emits sound uniformly in all directions. By how many decibels does the sound intensity level change?

Hint
Answer
SSM
Example 9




 94   

A rocket engine emits 2.0×105 J of sound energy every second. The sound is emitted uniformly in all directions. What is the sound intensity level, measured relative to the threshold of hearing, at a distance of 85 m away from the engine?





 95 *  

Two identical rifles are shot at the same time, and the sound intensity level is 80.0 dB. What would be the sound intensity level if only one rifle were shot?

Answer




 96 *  

In Figure 16.3c the colored dot exhibits simple harmonic motion as the longitudinal wave passes. The wave has an amplitude of 5.4×10–3 m and a frequency of 4.0 Hz. Find the maximum acceleration of the dot.





 97 *  

Two blocks are connected by a wire that has a mass per unit length of 8.50×10–4 kg/m. One block has a mass of 19.0 kg, and the other has a mass of 42.0 kg. These blocks are being pulled across a horizontal frictionless floor by a horizontal force P that is applied to the less massive block. A transverse wave travels on the wire between the blocks with a speed of 352 m/s (relative to the wire). The mass of the wire is negligible compared to the mass of the blocks. Find the magnitude of P.

Answer
SSM




 98 *  

A steel cable of cross-sectional area 2.83×10–3 m2 is kept under a tension of 1.00×104 N. The density of steel is 7860 kg/m3 (this is not the linear density). At what speed does a transverse wave move along the cable?

Hint




 99 *  

Review Conceptual Example 3 before starting this problem. A horizontal wire is under a tension of 315 N and has a mass per unit length of 6.50×10–3 kg/m. A transverse wave with an amplitude of 2.50 mm and a frequency of 585 Hz is traveling on this wire. As the wave passes, a particle of the wire moves up and down in simple harmonic motion. Obtain (a) the speed of the wave and (b) the maximum speed with which the particle moves up and down.

Answer




 100 *  

When one person shouts at a football game, the sound intensity level at the center of the field is 60.0 dB.When all the people shout together, the intensity level increases to 109 dB. Assuming that each person generates the same sound intensity at the center of the field, how many people are at the game?





 101 **  

In a mixture of argon (atomic mass=39.9 u) and neon (atomic mass=20.2 u), the speed of sound is 363 m/s at 3.00×102 K. Assume that both monatomic gases behave as ideal gases. Find the percentage of the atoms that are argon and the percentage that are neon.

Answer




 102 **  

Civil engineers use a transit theodolite when surveying. A modern version of this device determines distance by measuring the time required for an ultrasonic pulse to reach a target, reflect from it, and return. Effectively, such a theodolite is calibrated properly when it is programmed with the speed of sound appropriate for the ambient air temperature. (a) Suppose the round-trip time for the pulse is 0.580 s on a day when the air temperature is 293 K, the temperature for which the instrument is calibrated. How far is the target from the theodolite? (b) Assume that air behaves as an ideal gas. If the air temperature were 298 K, rather than the calibration temperature of 293 K, what percentage error would there be in the distance measured by the theodolite?







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