COLLEGE PHYSICS (LL W/WEBASSIGN)
11th Edition
ISBN: 9781337741644
Author: SERWAY
Publisher: CENGAGE L
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Textbook Question
Chapter 6, Problem 76AP
Two blocks collide on a frictionless surface. After the collision, the blocks stick together. Block A has a mass M and is initially moving to the right at speed v. Block B has a mass 2M and is initially at rest. System C is composed of both blocks, (a) Draw a force diagram for each block at an instant during the collision, (b) Rank the magnitudes of the horizontal forces in your diagram. Explain your reasoning, (c) Calculate the change in momentum of block A, block B, and system C. (d) Is kinetic energy conserved in this collision? Explain your answer. (This problem is courtesy of Edward F. Redish. For more such problems, visit http://www.physics.umd.edu/perg.)
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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 6 Solutions
COLLEGE PHYSICS (LL W/WEBASSIGN)
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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