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Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 15, Problem 10Q
Will any function of (x – υt)—see Eq. 15–14—represent a wave motion? Why? Or why or not? If not, give an example.
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Students have asked these similar questions
A cylinder with a piston contains 0.153 mol of
nitrogen at a pressure of 1.83×105 Pa and a
temperature of 290 K. The nitrogen may be
treated as an ideal gas. The gas is first compressed
isobarically to half its original volume. It then
expands adiabatically back to its original volume,
and finally it is heated isochorically to its original
pressure.
Part A
Compute the temperature at the beginning of the adiabatic expansion.
Express your answer in kelvins.
ΕΠΙ ΑΣΦ
T₁ =
?
K
Submit
Request Answer
Part B
Compute the temperature at the end of the adiabatic expansion.
Express your answer in kelvins.
Π ΑΣΦ
T₂ =
Submit
Request Answer
Part C
Compute the minimum pressure.
Express your answer in pascals.
ΕΠΙ ΑΣΦ
P =
Submit
Request Answer
?
?
K
Pa
Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
Τ
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
T
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
Chapter 15 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 15.1 - Prob. 1AECh. 15.1 - You notice a water Wave pass by the end of a pier...Ch. 15.2 - A wave starts at the left end of a long cord (see...Ch. 15.4 - A wave is given by D(x, t) = (5.0 mm) sin(2.0x ...Ch. 15 - Prob. 1QCh. 15 - Explain the difference between the speed of a...Ch. 15 - Prob. 3QCh. 15 - What kind of waves do you think will travel down a...Ch. 15 - Prob. 5QCh. 15 - Prob. 6Q
Ch. 15 - The speed of sound in most solids is somewhat...Ch. 15 - Give two reasons why circular water waves decrease...Ch. 15 - Prob. 9QCh. 15 - Will any function of (x t)see Eq. 1514represent a...Ch. 15 - When a sinusoidal wave crosses the boundary...Ch. 15 - If a sinusoidal wave on a two-section cord (Fig....Ch. 15 - Is energy always conserved when two waves...Ch. 15 - Prob. 14QCh. 15 - When a standing wave exists on a string, the...Ch. 15 - Prob. 16QCh. 15 - When a cord is vibrated as in Fig. 1525 by hand or...Ch. 15 - AM radio signals can usually be heard behind a...Ch. 15 - Prob. 19QCh. 15 - (I) A fisherman notices that wave crests pass the...Ch. 15 - (I) A sound wave in air has a frequency of 262 Hz...Ch. 15 - (I) Calculate the speed of longitudinal waves in...Ch. 15 - (1) AM radio signals have frequencies between 550...Ch. 15 - (I) Determine the wavelength of a 5800-Hz sound...Ch. 15 - (II) A cord of mass 0.65 kg is stretched between...Ch. 15 - (II) A 0.40-kg cord is stretched between two...Ch. 15 - (II) A sailor strikes the side of his ship just...Ch. 15 - (II) A ski gondola is connected to the top of a...Ch. 15 - Prob. 10PCh. 15 - (II) The wave on a string shown in Fig. 1533 is...Ch. 15 - (II) A 5.0kg ball hangs from a steel wire 1.00 mm...Ch. 15 - (II) Two children are sending signals along a cord...Ch. 15 - (II) Dimensional analysis. Waves on the surface of...Ch. 15 - Prob. 15PCh. 15 - (II) What is the ratio of (a) the intensities, and...Ch. 15 - (II) Show that if damping is ignored, the...Ch. 15 - (II) The intensity of an earthquake wave passing...Ch. 15 - (II) A small steel wire of diameter 1.0 mm is...Ch. 15 - (II) Show that the intensity of a wave is equal to...Ch. 15 - (II) (a) Show that the average rate with which...Ch. 15 - (I) A transverse wave on a wire is given by D(x,...Ch. 15 - Prob. 23PCh. 15 - (II) A transverse traveling wave on a cord is...Ch. 15 - (II) Consider the point x = 1.00 m on the cord of...Ch. 15 - (II) A transverse wave on a cord is given by D(x,...Ch. 15 - (II) A transverse wave pulse travels to the right...Ch. 15 - (II) A 524-Hz longitudinal wave in air has a speed...Ch. 15 - (II) Write the equation for the wave in Problem 28...Ch. 15 - (II) A sinusoidal wave traveling on a string in...Ch. 15 - (II) Determine if the function D = A sin k x cos t...Ch. 15 - (II) Show by direct substitution that the...Ch. 15 - Prob. 33PCh. 15 - (II) Let two linear waves be represented by D1 =...Ch. 15 - Prob. 35PCh. 15 - Prob. 36PCh. 15 - (II) A cord has two sections with linear densities...Ch. 15 - Prob. 38PCh. 15 - (II) Seismic reflection prospecting is commonly...Ch. 15 - (III) A cord stretched to a tension FT consists of...Ch. 15 - (I) The two pulses shown in Fig. 1536 are moving...Ch. 15 - Prob. 42PCh. 15 - (I) A violin siring vibrates at 441 Hz when...Ch. 15 - (I) If a violin string vibrates at 294 Hz as its...Ch. 15 - Prob. 45PCh. 15 - (I) A particular string resonates in four loops at...Ch. 15 - (II) A cord of length 1.0 m has two equal-length...Ch. 15 - (II) The velocity of waves on a string is 96 m/s....Ch. 15 - (II) If two successive harmonics of a vibrating...Ch. 15 - (II) A guitar string is 90.0 cm long and has a...Ch. 15 - (II) Show that the frequency of standing waves on...Ch. 15 - (II) One end of a horizontal string of linear...Ch. 15 - (II) In Problem 52, Fig. 1537, the length of the...Ch. 15 - Prob. 54PCh. 15 - Prob. 55PCh. 15 - (II) When you slosh the water back and forth in a...Ch. 15 - (II) A particular violin string plays at a...Ch. 15 - (II) Two traveling waves are described by the...Ch. 15 - (II) Plot the two waves given in Problem 58 and...Ch. 15 - Prob. 60PCh. 15 - Prob. 61PCh. 15 - (II) A 65-cm guitar string is fixed at both ends....Ch. 15 - (II) Two oppositely directed traveling waves given...Ch. 15 - Prob. 64PCh. 15 - (I) An earthquake P wave traveling 8.0 km/s...Ch. 15 - (I) Water waves approach an underwater shelf where...Ch. 15 - (II) A sound wave is traveling in warm air (25C)...Ch. 15 - (II) Any type of wave that reaches a boundary...Ch. 15 - Prob. 69PCh. 15 - (II) A satellite dish is about 0.5 m in diameter....Ch. 15 - Prob. 71GPCh. 15 - Prob. 72GPCh. 15 - Prob. 73GPCh. 15 - Prob. 74GPCh. 15 - A bug on the surface of a pond is observed to move...Ch. 15 - A guitar string is supposed to vibrate at 247 Hz,...Ch. 15 - Prob. 77GPCh. 15 - A uniform cord of length l and mass m is hung...Ch. 15 - A transverse wave pulse travels to the right along...Ch. 15 - (a) Show that if the tension in a stretched string...Ch. 15 - Two strings on a musical instrument are tuned to...Ch. 15 - The ripples in a certain groove 10.8 cm from the...Ch. 15 - A 10.0-m-long wire of mass 152g is stretched under...Ch. 15 - A wave with a frequency of 220 Hz and a wavelength...Ch. 15 - Prob. 85GPCh. 15 - A highway overpass was observed to resonate as one...Ch. 15 - Prob. 87GPCh. 15 - Estimate the average power of a water wave when it...Ch. 15 - Prob. 89GPCh. 15 - Two wave pulses are traveling in opposite...Ch. 15 - Prob. 91GPCh. 15 - What frequency of sound would have a wavelength...Ch. 15 - (II) Consider a wave generated by the periodic...Ch. 15 - (II) The displacement of a bell-shaped wave pulse...
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