EBK COLLEGE PHYSICS, VOLUME 2
11th Edition
ISBN: 9781337514644
Author: Vuille
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 6, Problem 49P
A 90.0-kg fullback running cast with a speed of 5.00 m/s is tackled by a 95.0-kg opponent running north with a speed of 3.00 m/s. (a) Why does the tackle constitute a perfectly inelastic collision? (b) Calculate the velocity of the players immediately after the tackle and (c) determine the mechanical energy that is lost as a result of the collision, (d) Where did the lost energy go?
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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 6 Solutions
EBK COLLEGE PHYSICS, VOLUME 2
Ch. 6.1 - Two masses m1 and m2, with m1 m2, have equal...Ch. 6.2 - A boy standing at one end of a floating raft that...Ch. 6.3 - A car and a large truck traveling at the same...Ch. 6.3 - An object of mass m moves to the right with a...Ch. 6.3 - A skater is using very low-friction rollerblades....Ch. 6.3 - In a perfectly inelastic one-dimensional collision...Ch. 6.3 - A bowling ball onboard a space station is floating...Ch. 6 - A batter bunts a pitched baseball, blocking the...Ch. 6 - If two objects collide and one is initially at...Ch. 6 - Two carts on an air track have the same mass and...
Ch. 6 - Two identical ice hockey pucks, labeled A and B,...Ch. 6 - A ball of clay of mass m is thrown with a speed v...Ch. 6 - A skater is standing still on a frictionless ice...Ch. 6 - A baseball is thrown from the outfield toward home...Ch. 6 - (a) If two automobiles collide, they usually do...Ch. 6 - Your physical education teacher throws you a...Ch. 6 - Two cans move in the same direction along a...Ch. 6 - For the situation described in the previous...Ch. 6 - An air bag inflates when a collision occurs,...Ch. 6 - At a bowling alley, two players each score a spare...Ch. 6 - An open box slides with constant speed across the...Ch. 6 - Does a larger net force exerted on an object...Ch. 6 - Does a larger net force always produce a larger...Ch. 6 - If two particles have equal momenta, are their...Ch. 6 - Two particles of different mass start from rest....Ch. 6 - Calculate the magnitude of the linear momentum for...Ch. 6 - A high-speed photograph of a club hitting a golf...Ch. 6 - A pitcher claims he can throw a 0.145-kg baseball...Ch. 6 - A 0.280-kg volleyball approaches a player...Ch. 6 - Drops of rain fall perpendicular to the roof of a...Ch. 6 - Show that the kinetic energy of a particle of mass...Ch. 6 - An object has a kinetic energy of 275 J and a...Ch. 6 - An estimated force vs. time curve for a baseball...Ch. 6 - A soccer player takes a corner kick, lofting a...Ch. 6 - A man claims he ran safely hold on to a 12.0-kg...Ch. 6 - A ball of mass 0.150 kg is dropped from rest from...Ch. 6 - A tennis player receives a shot with the ball...Ch. 6 - A car is stopped for a traffic signal. When the...Ch. 6 - A 65.0-kg basketball player jumps vertically and...Ch. 6 - The force shown in the force vs. time diagram in...Ch. 6 - A force of magnitude Fx acting in the x-direction...Ch. 6 - The forces shown in the force vs. time diagram in...Ch. 6 - A 3.00-kg steel ball strikes a massive wall at...Ch. 6 - The front 1.20 m of a 1 400-kg car is designed as...Ch. 6 - A pitcher throws a 0.14-kg baseball toward the...Ch. 6 - High-speed stroboscopic photographs show that the...Ch. 6 - A rifle with a weight of 30.0 N fires a 5.00-g...Ch. 6 - A 45.0-kg girl is standing on a 150.-kg plank. The...Ch. 6 - This is a symbolic version of Problem 23. A girl...Ch. 6 - Squids are the fastest marine invertebrates, using...Ch. 6 - A 75-kg fisherman in a 125-kg boat throws a...Ch. 6 - A 65.0-kg person throws a 0.045 0-kg snowball...Ch. 6 - Two objects of masses m1 = 0.56 kg m2 = 0.88 kg...Ch. 6 - An astronaut in her space suit has a total mass of...Ch. 6 - Three ice skaters meet at the center of a rink and...Ch. 6 - a man of mass m1 = 70.0 kg is skating at v1 = 8.00...Ch. 6 - An archer shoots an arrow toward a 3.00 102-g...Ch. 6 - Gayle runs at a speed of 4.00 m/s and dives on a...Ch. 6 - A 75.0-kg ice skater moving at 10.0 m/s crashes...Ch. 6 - A railroad car of mass 2.00 104 kg moving at 3.00...Ch. 6 - This is a symbolic version of Problem 35. A...Ch. 6 - Consider the ballistic pendulum device discussed...Ch. 6 - A cue ball traveling at 4.00 m/s makes a glancing,...Ch. 6 - In a Broadway performance, an 80.0-kg actor swings...Ch. 6 - Two shuffleboard disks of equal mass, one orange...Ch. 6 - A 0.030-kg bullet is fired vertically at 200 m/s...Ch. 6 - An bullet of mass m = 8.00 g is fired into a block...Ch. 6 - A 12.0-g bullet is fired horizontally into a 100-g...Ch. 6 - A 1200-kg car traveling initially with a speed of...Ch. 6 - A tennis ball of mass 57.0 g is held just above a...Ch. 6 - A space probe, initially at rest, undergoes an...Ch. 6 - A 25.0-g object moving to the right at 20.0 cm/s...Ch. 6 - A billiard ball rolling across a table at 1.50 m/s...Ch. 6 - A 90.0-kg fullback running cast with a speed of...Ch. 6 - Identical twins, each with mass 55.0 kg, are on...Ch. 6 - A 2.00 1O3-kg car moving cast at 10.0 m/s...Ch. 6 - Two automobiles of equal mass approach an...Ch. 6 - A billiard ball moving at 5.00 m/s strikes a...Ch. 6 - The Merlin rocket engines developed by SpaceX...Ch. 6 - One of the first ion engines on a commercial...Ch. 6 - NASAs Saturn V rockets that launched astronauts to...Ch. 6 - Prob. 57PCh. 6 - A spaceship at rest relative to a nearby star in...Ch. 6 - A spaceships orbital maneuver requires a speed...Ch. 6 - In research in cardiology and exercise physiology,...Ch. 6 - Most of us know intuitively that in a head-on...Ch. 6 - Consider a frictionless track as shown in Figure...Ch. 6 - A 2.0-g particle moving at 8.0 m/s makes a...Ch. 6 - A bullet of mass m and speed v passes completely...Ch. 6 - Prob. 65APCh. 6 - A 0.400-kg blue bead slides on a frictionless,...Ch. 6 - A 730-N man stands in the middle of a frozen pond...Ch. 6 - An unstable nucleus of muss 1.7 1026 kg,...Ch. 6 - Two blocks of masses m1 and m2 approach each other...Ch. 6 - Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg...Ch. 6 - A block with mass m1 = 0.500 kg is released from...Ch. 6 - Two objects of masses m and 3m are moving toward...Ch. 6 - A small block of mass m1 = 0.500 kg is released...Ch. 6 - A car of mass m moving at a speed v1 collides and...Ch. 6 - A cannon is rigidly attached to a carriage, which...Ch. 6 - Two blocks collide on a frictionless surface....Ch. 6 - (a) A car traveling due east strikes a car...Ch. 6 - A 60-kg soccer player jumps vertically upwards and...Ch. 6 - A boy of mass mb and his girlfriend of mass mg,...Ch. 6 - A 20.0-kg toboggan with 70.0-kg driver is sliding...Ch. 6 - Measuring the speed of a bullet. 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