Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
9th Edition
ISBN: 9781305116429
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 5, Problem 5.5OQ
An experiment is performed on a puck on a level air hockey table, where friction is negligible. A constant horizontal force is applied to the puck, and the pucks acceleration is measured. Now the same puck is transported far into outer space, where both friction and gravity are negligible. The same constant force is applied to the puck (through a spring scale that stretches the same amount), and the pucks acceleration (relative to the distant stars) is measured. What is the puck’s acceleration in outer space? (a) It is somewhat greater than its acceleration on the Earth. (b) It is the same as its acceleration on the Earth. (c) It is less than its acceleration on the Earth. (d) It is infinite because neither friction nor gravity constrains it. (e) It is very large because acceleration is inversely proportional to weight and the puck’s weight is very small but not zero.
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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
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
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. She says that...Ch. 5 - A person holds a ball in her hand, (a) Identify...Ch. 5 - A spherical rubber balloon inflated with air is...Ch. 5 - A rubber ball is dropped onto the floor. What...Ch. 5 - Twenty people participate in a tug-of-war. The two...Ch. 5 - Can an object exert a force on itself? Argue for...Ch. 5 - When you push on a box with a 200-N force instead...Ch. 5 - A weight lifter stands on a bathroom scale. He...Ch. 5 - An athlete grips a light rope that passes over a...Ch. 5 - Suppose you are driving a classic car. Why should...Ch. 5 - In Figure CQ5.16, the light, taut, unstretchable...Ch. 5 - Describe two examples in which the force of...Ch. 5 - The mayor of a city reprimands some city employees...Ch. 5 - Give reasons for the answers to each of the...Ch. 5 - Balancing carefully, three boys inch out onto a...Ch. 5 - Identity action-reaction pairs in the following...Ch. 5 - As shown in Figure CQ5.22, student A, a 55-kg...Ch. 5 - Prob. 5.23CQCh. 5 - A certain orthodontist uses a wire brace to align...Ch. 5 - If a man weighs 900 N on the Earth, what would he...Ch. 5 - A 3.00-kg object undergoes an acceleration given...Ch. 5 - A certain orthodontist uses a wire brace to align...Ch. 5 - A toy rocket engine is securely fastened to a...Ch. 5 - The average speed of a nitrogen molecule in air is...Ch. 5 - The distinction between mass and weight was...Ch. 5 - (a) A cat with a mass of 850 kg in moving to the...Ch. 5 - Review. The gravitational force exerted on a...Ch. 5 - Review. 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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