Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Textbook Question
Chapter 3, Problem 2MIO
Repeat Exercise I for Section 3.2 on linear momentum and relate your concept map directly to Concept Map 3.1 at the end of Section 3.8.
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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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Question 03
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Define the angular velocity of a rotating body and give its SI unit
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Question 04
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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 3 Solutions
Inquiry into Physics
Ch. 3 - Distinguish between what a physicist and a...Ch. 3 - If the population in a certain country was...Ch. 3 - Describe the basic features of the “lighthouse”...Ch. 3 - Prob. 2AACh. 3 - Prob. 1PIPCh. 3 - Prob. 1MIOCh. 3 - Repeat Exercise I for Section 3.2 on linear...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...
Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 8QCh. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 10QCh. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 12QCh. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 21QCh. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 25QCh. 3 - (Indicates a review question, which means it...Ch. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 28QCh. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 30QCh. 3 - Prob. 31QCh. 3 - Prob. 32QCh. 3 - (Indicates a review question, which means it...Ch. 3 - Prob. 34QCh. 3 - (¦ Indicates a review question, which means it...Ch. 3 - A sprinter with a mass of 65 kg reaches a speed of...Ch. 3 - Which has the larger linear momentum: a 2,000-kg...Ch. 3 - In Section 2.4, we computed the force needed to...Ch. 3 - A runner with a mass of 80 kg accelerates from 0...Ch. 3 - In Section 1.4, we considered the collision of a...Ch. 3 - A basketball with a mass of 0.62 kg falls...Ch. 3 - A pitcher throws a 0.5-kg ball of clay at a 6-kg...Ch. 3 - A 3,000-kg truck runs into the rear of a 1,000-kg...Ch. 3 - A 50-kg boy on roller skates moves with a speed of...Ch. 3 - . Two persons on ice skates stand face to face and...Ch. 3 - . A loaded gun is dropped on a frozen lake. The...Ch. 3 - . A running back with a mass of 80 kg and a speed...Ch. 3 - . A motorist runs out of gas on a level road 200 m...Ch. 3 - . In Figure 3.10, the rock weighs 100 lb and is...Ch. 3 - . A weight lifter raises a 100-kg barbell to a...Ch. 3 - Prob. 16PCh. 3 - . A personal watercraft and rider have a combined...Ch. 3 - As it orbits Earth, the 11,000-kg Hubble Space...Ch. 3 - . The kinetic energy of a motorcycle and rider is...Ch. 3 - . In compressing the spring in a toy dart gun,...Ch. 3 - . An archer using a simple bow exerts a force of...Ch. 3 - A worker at the top of a 629-m-tall television...Ch. 3 - . A 25-kg child uses a pogo stick to bounce up and...Ch. 3 - . A student drops a water balloon out of a dorm...Ch. 3 - . A child on a swing has a speed of 7.7 m/s at the...Ch. 3 - . The cliff divers at Acapulco, Mexico, jump off a...Ch. 3 - . At NASA's Zero Gravity Research Facility in...Ch. 3 - . The fastest that a human has run is about 12...Ch. 3 - . A bicycle and rider going 10 m/s approach a...Ch. 3 - . In January 2003, an 18-year-old student gained a...Ch. 3 - The ceiling of an arena is 20 m above the floor....Ch. 3 - . Compute how much kinetic energy was “lost” in...Ch. 3 - Compute how much kinetic energy was “lost” in the...Ch. 3 - . A 1,000-W motor powers a hoist used to lift cars...Ch. 3 - . How long does it take a worker producing 200 W...Ch. 3 - . An elevator is able to raise 1,000 kg to a...Ch. 3 - . A particular hydraulic pile driver uses a ram...Ch. 3 - . A compact car can climb a hill in 10 s. The top...Ch. 3 - . In the annual Empire State Building race,...Ch. 3 - . It takes 100 minutes for a middle-aged physics...Ch. 3 - . Two small 0.25-kg masses are attached to...Ch. 3 - Rank the following three collisions in terms of...Ch. 3 - A bullet with a mass of 0.01 kg is tired...Ch. 3 - In a head-on, inelastic collision, a 4,000-kg...Ch. 3 - Prob. 4CCh. 3 - Prob. 5CCh. 3 - The "shot" used in the shot-put event is a metal...Ch. 3 - Prob. 7CCh. 3 - Prob. 8CCh. 3 - A series of five 0.1-kg spheres are arrayed along...
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