A violinist is tuning her instrument to concert A $(440 \mathrm{~Hz})$. She plays the note while listening to an electronically generated tone of exactly that frequency and hears a beat frequency of $3 \mathrm{~Hz}$, which increases to $4 \mathrm{~Hz}$ when she tightens her violin string slightly.
(b) To get her violin perfectly tuned to concert $\mathrm{A}$, should she tighten or loosen her string from what it was when she heard the $3$-$\mathrm{Hz}$ beats?

(a) What is the sound intensity level in a car when the sound intensity is $0.500 \mu \mathrm{W} / \mathrm{m}^2$?
(b) What is the sound intensity in the air near a jackhammer when the sound intensity level is $103 \mathrm{~dB}$?

Two guitarists attempt to play the same note of wavelength $6.50 {cm}$ at the same time, but one of the instruments is slightly out of tune and plays a note of wavelength $6.52 {cm}$ instead. What is the frequency of the beats these musicians hear when they play together?

A container ship is traveling westward at a speed of $5.00 \mathrm{~m} / \mathrm{s}$. The waves on the surface of the ocean have a wavelength of $40.0 \mathrm{~m}$ and are traveling eastward at a speed of $16.5 \mathrm{~m} / \mathrm{s}$.
(a) At what time intervals does the ship encounter the crest of a wave?
(b) At what time intervals will the ship encounter wave crests if it turns around and heads eastward?

Musicians can use beats to tune their instruments. One flute is properly tuned and plays the musical note A at exactly 440 Hz. A second player sounds the same note and hears that her instrument is slightly "flat" (that is, at too low a frequency). Playing at the same time as the first flute, she hears two loud-soft-loud beats per second. What is the frequency of her instrument?

Two waves travel on the same string. Is it possible for them to have different frequencies.

Two trains emit $508~\mathrm{Hz}$ whistles. One train is stationary. The conductor on the stationary train hears a $3.5~\mathrm{Hz}$ beat frequency when the other train approaches. What is the speed of the moving train?

Decide which form of the vocabulary word in parentheses best completes the sentence. The form given may be correct. Write your answer on the answer line.

$\underline{?}$ of the stolen property was made possible by an anonymous note. (restitution) ______________________

The A string of a violin is a little too tightly stretched. Beats at 4.00 per second are heard when the string is sounded together with a tuning fork that is oscillating accurately at concert A (440 Hz). What is the period of the violin string oscillation?

Using the discussion earlier, answer the questions below:

(a) Note three details describing the city of Hiroshima in the hours preceding the bomb.

(b) Why does Hersey spend so much time describing the city before the blast?

A $75.0 \mathrm{~cm}$ wire of mass $5.625 \mathrm{~g}$ is tied at both ends and adjusted to a tension of $35.0 \mathrm{~N}$. When it is vibrating in its second overtone, find
(a) the frequency and wavelength at which it is vibrating and
(b) the frequency and wavelength of the sound waves it is producing.

Two tuning forks are producing sounds of wavelength $34.40 \mathrm{~cm}$ and $33.94 \mathrm{~cm}$ simultaneously. How many beats do you hear each second?

A $75.0$-cm-long wire of mass $5.625 \mathrm{~g}$ is tied at both ends and adjusted to a tension of $35.0 \mathrm{~N}$. When it is vibrating in its second overtone, find
(b) the frequency and wavelength of the sound waves it is producing.

(a) If the amplitude in a sound wave is tripled, by what factor does the intensity of the wave increase?
(b) By what factor must the amplitude of a sound wave be decreased in order to decrease the intensity by a factor of 3?