EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161760
Author: Voit
Publisher: VST
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Chapter S2, Problem 57EAP
Racing a Light Beam II. Following his humiliation in the first race against the light beam (Problem 56), Jo went into hiding for the next 2 years. By that time, most people had forgotten about both him and the money they had wasted on the pay-per-view event. However, Jo was secretly in training during this time. He worked out hard and tested new performance-enhancing substances. One day, he emerged from hiding and called another press conference. “I’m ready for a rematch,” he announced. Sponsors were few this time and spectators scarce in the huge Olympic stadium where Jo and the flashlight lined up at the starting line. But those who were there will never forget what they saw, although it all happened very quickly. Jo blasted out of the starting block at 99.9% of the
- As seen by spectators in the grandstand, how much faster than Jo is the light beam?
- As seen by Jo, how much faster is the light beam than he is? Explain your answer clearly.
- Using your results from parts a and b, explain why Jo can say that he was beaten just as badly as before, while the spectators can think he gave the light beam a good race.
- Although Jo was disappointed by his performance against the light beam, he did experience one pleasant surprise: The 100-meter course seemed short to him. In Jo’s reference frame during the race, how long was the 100-meter course?
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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 =
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Part C
Compute the minimum pressure.
Express your answer in pascals.
ΕΠΙ ΑΣΦ
P =
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?
?
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 S2 Solutions
EBK THE COSMIC PERSPECTIVE
Ch. S2 - Prob. 1EAPCh. S2 - Prob. 2EAPCh. S2 - Prob. 3EAPCh. S2 - Prob. 4EAPCh. S2 - Prob. 5EAPCh. S2 - Suppose you see a friend moving by you at some...Ch. S2 - Prob. 7EAPCh. S2 - Prob. 8EAPCh. S2 - Prob. 9EAPCh. S2 - Prob. 10EAP
Ch. S2 - 11. What is mass increase? How does the mass of an...Ch. S2 - Prob. 12EAPCh. S2 - Prob. 13EAPCh. S2 - Prob. 14EAPCh. S2 - Prob. 15EAPCh. S2 - Prob. 16EAPCh. S2 - Prob. 17EAPCh. S2 - Prob. 18EAPCh. S2 - Prob. 19EAPCh. S2 - Prob. 20EAPCh. S2 - Prob. 21EAPCh. S2 - Prob. 22EAPCh. S2 - Prob. 23EAPCh. S2 - Does It Make Sense? Decide whether the statement...Ch. S2 - Does It Make Sense? Decide whether the statement...Ch. S2 - Prob. 26EAPCh. S2 - Prob. 27EAPCh. S2 - Prob. 28EAPCh. S2 - Prob. 29EAPCh. S2 - Prob. 30EAPCh. S2 - Choose the best answer to each of the following....Ch. S2 - Prob. 32EAPCh. S2 - Prob. 33EAPCh. S2 - 34. What provides the strongest evidence that...Ch. S2 - Prob. 35EAPCh. S2 - Prob. 36EAPCh. S2 - Prob. 38EAPCh. S2 - Prob. 39EAPCh. S2 - Prob. 40EAPCh. S2 - Prob. 42EAPCh. S2 - Prob. 43EAPCh. S2 - Prob. 44EAPCh. S2 - Relative Motion Practice II. In all the following,...Ch. S2 - Prob. 46EAPCh. S2 - Prob. 47EAPCh. S2 - Prob. 48EAPCh. S2 - Prob. 49EAPCh. S2 - Time Dilation. A student, after learning about the...Ch. S2 - Length Contraction. Marta has a spaceship that...Ch. S2 - Mass Increase. A spaceship has a rest mass of...Ch. S2 - Time Dilation with Subatomic Particles. A + meson...Ch. S2 - Time Dilation on the Space Station. The...Ch. S2 - Prob. 56EAPCh. S2 - Racing a Light Beam II. Following his humiliation...
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- ■ Review | Constants A cylinder with a movable piston contains 3.75 mol of N2 gas (assumed to behave like an ideal gas). Part A The N2 is heated at constant volume until 1553 J of heat have been added. Calculate the change in temperature. ΜΕ ΑΣΦ AT = Submit Request Answer Part B ? K Suppose the same amount of heat is added to the N2, but this time the gas is allowed to expand while remaining at constant pressure. Calculate the temperature change. AT = Π ΑΣΦ Submit Request Answer Provide Feedback ? K Nextarrow_forward4. I've assembled the following assortment of point charges (-4 μC, +6 μC, and +3 μC) into a rectangle, bringing them together from an initial situation where they were all an infinite distance away from each other. Find the electric potential at point "A" (marked by the X) and tell me how much work it would require to bring a +10.0 μC charge to point A if it started an infinite distance away (assume that the other three charges remains fixed). 300 mm -4 UC "A" 0.400 mm +6 UC +3 UC 5. It's Friday night, and you've got big party plans. What will you do? Why, make a capacitor, of course! You use aluminum foil as the plates, and since a standard roll of aluminum foil is 30.5 cm wide you make the plates of your capacitor each 30.5 cm by 30.5 cm. You separate the plates with regular paper, which has a thickness of 0.125 mm and a dielectric constant of 3.7. What is the capacitance of your capacitor? If you connect it to a 12 V battery, how much charge is stored on either plate? =arrow_forwardLearning 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 T = constant. 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…arrow_forward
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