EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100454899
Author: Jewett
Publisher: Cengage Learning US
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Textbook Question
Chapter 5, Problem 5.48P
A car is stuck in the mud. A tow truck pulls on the car with the arrangement shown in Figure P5.24. The tow cable is under a tension of 2 500 N and pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut; that is, each is a bar whose weight is small compared to the forces it exerts and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows. Make a guess as to which way (pushing or pulling) each force acts on the top pin. Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means that the direction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls on a pin. it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression.
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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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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)
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iii)
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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 5 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 5 - Which of the following statements is correct? (a)...Ch. 5 - An object experiences no acceleration. Which of...Ch. 5 - You push an object, initially at rest, across a...Ch. 5 - Suppose you are talking by interplanetary...Ch. 5 - (i) If a fly collides with the windshield of a...Ch. 5 - You press your physics textbook flat against a...Ch. 5 - Charlie is playing with his daughter Toney in the...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - In Figure OQ5.2, a locomotive has broken through...Ch. 5 - The third graders are on one side of a schoolyard,...
Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - An experiment is performed on a puck on a level...Ch. 5 - The manager of a department store is pushing...Ch. 5 - Two objects are connected by a siring that passes...Ch. 5 - An object of mass m is sliding with speed v, at...Ch. 5 - A truck loaded with sand accelerates along a...Ch. 5 - A large crate of mass m is place on the flatbed of...Ch. 5 - If an object is in equilibrium, which of the...Ch. 5 - A crate remains stationary after it has been...Ch. 5 - An object of mass m moves with acceleration a down...Ch. 5 - If you hold a horizontal metal bar several...Ch. 5 - Your hands are wet, and the restroom towel...Ch. 5 - In the motion picture It Happened One Night...Ch. 5 - If a car is traveling due westward with a constant...Ch. 5 - A passenger sitting in the rear of a bus claims...Ch. 5 - A child tosses a ball straight up. 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The gravitational force exerted on a...Ch. 5 - Review. An electron of mass 9. 11 1031 kg has an...Ch. 5 - Besides the gravitational force, a 2.80-kg object...Ch. 5 - One or more external forces, large enough to be...Ch. 5 - A brick of mass M has been placed on a rubber...Ch. 5 - Two forces, F1=(6.00i4.00j)N and...Ch. 5 - The force exerted by the wind on the sails of a...Ch. 5 - An object of mass m is dropped al t = 0 from the...Ch. 5 - A force F applied to an object of mass m1,...Ch. 5 - Two forces F1 and F2 act on a 5.00-kg object....Ch. 5 - You stand on the seat of a chair and then hop off....Ch. 5 - A 15.0-lb block rests on the floor. (a) What force...Ch. 5 - Review. Three forces acting on an object are given...Ch. 5 - A 1 00-kg car is pulling a 300-kg trailer....Ch. 5 - If a single constant force acts on an object that...Ch. 5 - Review. Figure P5.15 shows a worker poling a boata...Ch. 5 - An iron bolt of mass 65.0 g hangs from a string...Ch. 5 - Figure P5.27 shows the horizontal forces acting on...Ch. 5 - The systems shown in Figure P5.28 are in...Ch. 5 - Assume the three blocks portrayed in Figure P5.29...Ch. 5 - A block slides down a frictionless plane having an...Ch. 5 - The distance between two telephone poles is 50.0...Ch. 5 - A 3.00-kg object is moving in a plane, with its x...Ch. 5 - A bag of cement weighing 325 N hangs in...Ch. 5 - A bag of cement whose weight is Fg hangs in...Ch. 5 - Two people pull as hard as they can on horizontal...Ch. 5 - Figure P5.36 shows loads hanging from the ceiling...Ch. 5 - An object of mass m = 1.00 kg is observed to have...Ch. 5 - A setup similar to the one shown in Figure P5.38...Ch. 5 - A simple accelerometer is constructed inside a car...Ch. 5 - An object of mass m1 = 5.00 kg placed on a...Ch. 5 - Figure P5.41 shows the speed of a persons body as...Ch. 5 - Two objects are connected by a light string that...Ch. 5 - Two blocks, each of mass m = 3.50 kg, are hung...Ch. 5 - Two blocks, each of mass m, are hung from the...Ch. 5 - In the system shown in Figure P5.23, a horizontal...Ch. 5 - An object of mass m1 hangs from a string that...Ch. 5 - A block is given an initial velocity of 5.00 m/s...Ch. 5 - A car is stuck in the mud. A tow truck pulls on...Ch. 5 - Two blocks of mass 3.50 kg and 8.00 kg arc...Ch. 5 - In the Atwood machine discussed in Example 5.9 and...Ch. 5 - In Example 5.8, we investigated the apparent...Ch. 5 - Consider a large truck carrying a heavy load, such...Ch. 5 - Review. A rifle bullet with a mass of 12.0 g...Ch. 5 - Review. A car is traveling at 50.0 mi/h on a...Ch. 5 - A 25.0-kg block is initially at rest oil a...Ch. 5 - Why is the following situation impassible? Your...Ch. 5 - To determine the coefficients of friction between...Ch. 5 - Before 1960m people believed that the maximum...Ch. 5 - To meet a U.S. Postal Service requirement,...Ch. 5 - A woman at an airport is towing her 20.0-kg...Ch. 5 - Review. A 3.00-kg block starts from rest at the...Ch. 5 - The person in Figure P5.30 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Two blocks connected by a rope of negligible mass...Ch. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Review. One side of the roof of a house slopes up...Ch. 5 - Review. A Chinook salmon can swim underwater at...Ch. 5 - Review. A magician pulls a tablecloth from under a...Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - The system shown in Figure P5.49 has an...Ch. 5 - A black aluminum glider floats on a film of air...Ch. 5 - A young woman buys an inexpensive used car stock...Ch. 5 - Why is the following situation impossible? A book...Ch. 5 - Review. A hockey puck struck by a hockey stick is...Ch. 5 - A 1.00-kg glider on a horizontal air track is...Ch. 5 - A frictionless plane is 10.0 m long and inclined...Ch. 5 - A rope with mass mr is attached to a block with...Ch. 5 - Two blocks of masses m1 and m2, are placed on a...Ch. 5 - On a single, light, vertical cable that does not...Ch. 5 - An inventive child named Nick wants to reach an...Ch. 5 - In the situation described in Problem 41 and...Ch. 5 - In Example 5.7, we pushed on two blocks on a...Ch. 5 - Prob. 5.84APCh. 5 - An object of mass M is held in place by an applied...Ch. 5 - Prob. 5.86APCh. 5 - Objects with masses m, = 10.0 kg and nut = 5.00 kg...Ch. 5 - Consider the three connected objects shown in...Ch. 5 - A crate of weight Fg is pushed by a force P on a...Ch. 5 - A student is asked to measure the acceleration of...Ch. 5 - A flat cushion of mass m is released from rest at...Ch. 5 - In Figure P5.46, the pulleys and pulleys the cord...Ch. 5 - What horizontal force must be applied to a large...Ch. 5 - An 8.40-kg object slides down a fixed,...Ch. 5 - A car accelerates down a hill (Fig. P5.95), going...Ch. 5 - A time-dependent force, F = (8.00i - 4.00/j),...Ch. 5 - The board sandwiched between two other boards in...Ch. 5 - Initially, the system of objects shown in Figure...Ch. 5 - A block of mass 2.20 kg is accelerated across a...Ch. 5 - Why is the following situation impossible? A...Ch. 5 - Review. A block of mass m = 2.00 kg is released...Ch. 5 - In Figure P5.55, the incline has mass M and is...Ch. 5 - A block of mass m = 2.00 kg rests on the left edge...Ch. 5 - A mobile is formed by supporting four metal...
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