Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
10th Edition
ISBN: 9781337888745
Author: SERWAY, Raymond A., Jewett, John W.
Publisher: Cengage Learning
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Chapter 17, Problem 5P
Two pulses traveling on the same string are described by
(a) In which direction does each pulse travel? (b) At what instant do the two pulses cancel for all x? (c) At what point do the two pulses cancel at all times t?
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ROTATIONAL DYNAMICS
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A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
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rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
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Question 03
i)
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Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 17 Solutions
Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
Ch. 17.1 - Prob. 17.1QQCh. 17.2 - Consider the waves in Figure 17.8 to be waves on a...Ch. 17.4 - When a standing wave is set up on a string fixed...Ch. 17.6 - Prob. 17.4QQCh. 17.6 - Balboa Park in San Diego has an outdoor organ....Ch. 17 - Two waves on one string are described by the wave...Ch. 17 - Two pulses of different amplitudes approach each...Ch. 17 - Two wave pulses A and B are moving in opposite...Ch. 17 - Why is the following situation impossible? Two...Ch. 17 - Two pulses traveling on the same string are...
Ch. 17 - Two identical loudspeakers 10.0 m apart are driven...Ch. 17 - Two sinusoidal waves on a string are defined by...Ch. 17 - Verify by direct substitution that the wave...Ch. 17 - Prob. 9PCh. 17 - A standing wave is described by the wave function...Ch. 17 - Prob. 11PCh. 17 - A taut string has a length of 2.60 m and is fixed...Ch. 17 - A string that is 30.0 cm long and has a mass per...Ch. 17 - In the arrangement shown in Figure P17.14, an...Ch. 17 - Review. A sphere of mass M = 1.00 kg is supported...Ch. 17 - Review. A sphere of mass M is supported by a...Ch. 17 - Prob. 17PCh. 17 - Review. A solid copper object hangs at the bottom...Ch. 17 - The Bay of Fundy, Nova Scotia, has the highest...Ch. 17 - Prob. 20PCh. 17 - The fundamental frequency of an open organ pipe...Ch. 17 - Ever since seeing Figure 16.22 in the previous...Ch. 17 - An air column in a glass tube is open at one end...Ch. 17 - A shower stall has dimensions 86.0 cm 86.0 cm ...Ch. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - Prob. 29PCh. 17 - Why is the following situation impossible? A...Ch. 17 - Review. A student holds a tuning fork oscillating...Ch. 17 - Prob. 32PCh. 17 - Suppose a flutist plays a 523-Hz C note with first...Ch. 17 - Two strings are vibrating at the same frequency of...Ch. 17 - Prob. 35APCh. 17 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 17 - Prob. 37APCh. 17 - You are working as an assistant to a landscape...Ch. 17 - Review. Consider the apparatus shown in Figure...Ch. 17 - Review. For the arrangement shown in Figure...Ch. 17 - Review. A loudspeaker at the front of a room and...Ch. 17 - Two speakers are driven by the same oscillator of...Ch. 17 - A standing wave is set up in a string of variable...Ch. 17 - Review. The top end of a yo-yo string is held...Ch. 17 - Prob. 45APCh. 17 - Prob. 46APCh. 17 - Review. A 12.0-kg object hangs in equilibrium from...Ch. 17 - Review. An object of mass m hangs in equilibrium...Ch. 17 - Two waves are described by the wave functions...Ch. 17 - Prob. 50CP
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