College Physics 11E Global Edition
11th Edition
ISBN: 9781337620338
Author: SERWAY/VUILLE
Publisher: CENGAGE Learning Custom Publishing
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Textbook Question
Chapter 5.6, Problem 5.8QQ
A book of mass in is projected with a speed v across a horizontal surface. The book slides until it stops due to the friction force between the book and the surface. The surface is now tilted 30°, and the book is projected up the surface with the same initial speed v. When the book has come to rest, how does the decrease in mechanical energy of the book-Earth system compare with that when the book slid over the horizontal surface? (a) It’s the same. (b) It’s larger on the tilted surface. (c) It’s smaller on the tilted surface. (d) More information is needed.
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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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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
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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)
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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.
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[2 marks]
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[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 5 Solutions
College Physics 11E Global Edition
Ch. 5.1 - In Figure 5.5 (a)-(d), a block moves to the right...Ch. 5.2 - A block slides at constant speed down a ramp while...Ch. 5.3 - Three identical halls are thrown from the top of a...Ch. 5.3 - Bob, of mass m, drops from a tree limb at the same...Ch. 5.5 - Calculate the elastic potential energy of a spring...Ch. 5.5 - True or False: The elastic potential energy of a...Ch. 5.5 - Elastic potential energy depends on the spring...Ch. 5.6 - A book of mass in is projected with a speed v...Ch. 5 - Consider a tug-of-war as in Figure CQ5.1, in which...Ch. 5 - Choose the best answer. A car traveling at...
Ch. 5 - (a) If the height of a playground slide is kept...Ch. 5 - (a) Can the kinetic energy of a system be...Ch. 5 - Two toboggans (with riders) of the same mass are...Ch. 5 - A bowling ball is suspended from the ceiling of a...Ch. 5 - As a mass tied to the end of a string strings from...Ch. 5 - Discuss whether any work is being done by each of...Ch. 5 - When a punter kicks a football, is he doing any...Ch. 5 - The driver of a car slams on her brakes to avoid...Ch. 5 - A weight is connected to a spring that is...Ch. 5 - For each of the situations given, state whether...Ch. 5 - Suppose you are reshelving books in a library. As...Ch. 5 - Two stones, one with twice the mass of the other,...Ch. 5 - An Earth satellite is in a circular orbit at an...Ch. 5 - Mark and David are loading identical cement blocks...Ch. 5 - If the speed of a particle is doubled, what...Ch. 5 - A certain truck has twice the mass of a car. 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It has been...Ch. 5 - A 50.0-kg projectile is fired at an angle of 30.0...Ch. 5 - A projectile of mass m is fired horizontally with...Ch. 5 - A horizontal spring attached to a wall has a force...Ch. 5 - A 50.-kg pole vaulter running at 10. m/s vaults...Ch. 5 - A child and a sled with a combined mass of 50.0 kg...Ch. 5 - A 35.0-cm long spring is hung vertically from a...Ch. 5 - A 0.250-kg block along a horizontal track has a...Ch. 5 - A block of mass m = 5.00 kg is released from rest...Ch. 5 - Tarzan savings on a 30.0-m-long vine initially...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - The launching mechanism of a toy gun consists of a...Ch. 5 - (a) A block with a mass m is pulled along a...Ch. 5 - (a) A child slides down a water slide at an...Ch. 5 - An airplane of mass 1.50 104 kg is moving at 60.0...Ch. 5 - The system shown in Figure P5.43 is used to lift...Ch. 5 - A 25.0-kg child on a 2.00-m-long swing is released...Ch. 5 - A 2.1 103-kg car starts from rest at the top of a...Ch. 5 - A child of mass m starts from rest and slides...Ch. 5 - A skier starts from rest at the top of a hill that...Ch. 5 - In a circus performance, a monkey is strapped to a...Ch. 5 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 5 - Q A skier of mass 70.0 kg is pulled up a slope by...Ch. 5 - What average mechanical power must a 70.0-kg...Ch. 5 - While running, a person dissipates about 0.60 J of...Ch. 5 - The electric motor of a model train accelerates...Ch. 5 - When an automobile moves with constant speed down...Ch. 5 - Under normal conditions the human heart converts...Ch. 5 - Prob. 56PCh. 5 - A 1.50 103-kg car starts from rest and...Ch. 5 - A 6.50 102-kg elevator starts from rest and moves...Ch. 5 - The force acting on a particle varies as in Figure...Ch. 5 - An object of mass 3.00 kg is subject to a force Fx...Ch. 5 - The force acting on an object is given by Fx = (8x...Ch. 5 - An outfielder throws a 0.150-kg baseball at a...Ch. 5 - A roller-coaster car of mass 1.50 103 kg is...Ch. 5 - A ball of mass m = 1.80 kg is released from rest...Ch. 5 - An archer pulls her bowstring back 0.400 m by...Ch. 5 - A block of mass 12.0 kg slides from rest down a...Ch. 5 - (a) A 75-kg man steps out a window and falls (from...Ch. 5 - A toy gun uses a spring to project a 5.3-g soft...Ch. 5 - Two objects (m1 = 5.00 kg and m2 = 3.00 kg) are...Ch. 5 - A 3.50-kN piano is lilted by three workers at...Ch. 5 - A 2.00 102-g particle is released from rest at...Ch. 5 - The particle described in Problem 71 (Fig. P5.71)...Ch. 5 - In terms of saving energy, bicycling and walking...Ch. 5 - A 50.0-kg student evaluates a weight loss program...Ch. 5 - A ski jumper starts from rest 50.0 m above the...Ch. 5 - A 5.0-kg block is pushed 3.0 m up a vertical wall...Ch. 5 - A childs pogo slick (Fig. P5.77) stores energy in...Ch. 5 - A hummingbird hovers by exerting a downward force...Ch. 5 - In the dangerous sport of bungee jumping, a daring...Ch. 5 - Apollo 14 astronaut Alan Shepard famously took two...Ch. 5 - A truck travels uphill with constant velocity on a...Ch. 5 - As a 75.0-kg man steps onto a bathroom scale, the...Ch. 5 - Prob. 83APCh. 5 - A cat plays with a toy mouse suspended from a...Ch. 5 - Three objects with masses m1 = 5.00 kg, m2 = 10.0...Ch. 5 - Two blocks, A and B (with mass 50.0 kg and 1.00 ...
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