EBK COLLEGE PHYSICS, VOLUME 2
11th Edition
ISBN: 9781337514644
Author: Vuille
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 5, Problem 12P
A worker pushing a 35.0-kg wooden crate at a constant speed for 12.0 m along a wood floor does 350 J of work by applying a constant horizontal force of magnitude F0 on the crate. (a) Determine the value of F0. (b) If the worker now applies a force greater than F0, describe the subsequent motion of the crate. (c) Describe what would happen to the crate if the applied force is less than F0.
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ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
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 5 Solutions
EBK COLLEGE PHYSICS, VOLUME 2
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. Both...Ch. 5 - If the net work done on a particle is zero, which...Ch. 5 - A car accelerates uniformly from rest. Ignoring...Ch. 5 - A weight lifter lifts a 350-N set of weights from...Ch. 5 - In 1990 Walter Arfeuille of Belgium lifted a...Ch. 5 - A cable exerts a constant upward tension of...Ch. 5 - a shopper in a supermarket pushes a cart with a...Ch. 5 - Starting from rest, a 5.00-kg block slides 2.50 m...Ch. 5 - A horizontal force of 150 N is used to push a...Ch. 5 - A tension force of 175 N inclined at 20.0 above...Ch. 5 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 5 - A mechanic pushes a 2.50 103-kg car from rest to...Ch. 5 - A 7.00-kg bowling ball moves at 3.00 m/s. How fast...Ch. 5 - A 65.0-kg runner has a speed of 5.20 m/s at one...Ch. 5 - A worker pushing a 35.0-kg wooden crate at a...Ch. 5 - A 70-kg base runner begins his slide into second...Ch. 5 - A 62.0-kg cheetah accelerates from rest to its top...Ch. 5 - A 7.80-g bullet moving at 575 m/s penetrates a...Ch. 5 - A 0.60-kg particle has a speed of 2.0 m/s at point...Ch. 5 - A large cruise ship of mass 6.50 107 kg has a...Ch. 5 - A man pushing a crate of mass m = 92.0 kg at a...Ch. 5 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 5 - When a 2.50-kg object is hung vertically on a...Ch. 5 - A block of mass 3.00 kg is placed against a...Ch. 5 - A 60.0-kg athlete leaps straight up into the air...Ch. 5 - A 2.10 103-kg pile driver is used to drive a...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - A daredevil on a motorcycle leaves the end of a...Ch. 5 - Truck suspensions often have helper springs dial...Ch. 5 - The chin-up is one exercise that can be used to...Ch. 5 - A flea is able to jump about 0.5 m. 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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