EBK COLLEGE PHYSICS, VOLUME 2
11th Edition
ISBN: 9781337514644
Author: Vuille
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 2, Problem 66AP
The thickest and strongest chamber in the human heart is the left ventricle, responsible during systole for pumping oxygenated blood through the aorta to rest of the body. Assume aortic blood starts from rest and accelerates at 22.5 m/s2 to a peak speed of 1.05 m/s. (a) How far does the blood travel during this acceleration? (b) How much time is required for the blood to reach its peak speed?
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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
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 2 Solutions
EBK COLLEGE PHYSICS, VOLUME 2
Ch. 2.1 - Figure 2.4 shows the unusual path of a confused...Ch. 2.1 - True or False? (a) A car must always have an...Ch. 2.1 - Parts (a), (b), and (c) of Figure 2.10 represent...Ch. 2.2 - The three graphs in Figure 2.13 represent the...Ch. 2.2 - Figure 2.14a is a diagram of a multiflash image of...Ch. 2.4 - A tennis player on serve tosses a ball straight...Ch. 2.4 - As the tennis ball of Quick Quiz 2.6 travels...Ch. 2.4 - A skydiver jumps out of a hovering helicopter. A...Ch. 2 - If the velocity of a particle is nonzero, can the...Ch. 2 - If the velocity of a particle is zero, can the...
Ch. 2 - If a car is traveling eastward, can its...Ch. 2 - (a) Can the equations in Table 2.4 be used in a...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Figure CQ2.6 shows strobe photographs taken of a...Ch. 2 - (a) Can the instantaneous velocity of an object at...Ch. 2 - A ball is thrown vertically upward. (a) What are...Ch. 2 - An object moves along the x-axis, its position...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A juggler throws a bowling pin straight up in the...Ch. 2 - A racing car starts from rest and reaches a final...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - Light travels at a speed of about 3 103 m/s. (a)...Ch. 2 - A person travels by car from one city to another...Ch. 2 - A football player runs from his own goal line to...Ch. 2 - Two boats start together and race across a...Ch. 2 - A graph of position versus time for a certain...Ch. 2 - A motorist drives for 35.0 minutes at 85.0 km/h...Ch. 2 - A tennis player moves in a straight-line path as...Ch. 2 - A jet plane has a takeoff speed of v0 = 75 m/s and...Ch. 2 - Two cars travel in the same direction along a...Ch. 2 - The cheetah can reach a top speed of 114 km/h (71...Ch. 2 - An athlete swims the length L of a pool in a time...Ch. 2 - A person lakes a trip, driving with a constant...Ch. 2 - A tortoise can run with a speed of 0.10 m/s, and a...Ch. 2 - To qualify for the finals in a racing event, a...Ch. 2 - A paper in the journal Current Biology tells of...Ch. 2 - A graph of position versus time for a certain...Ch. 2 - A race car moves such that, its position fits the...Ch. 2 - Runner A is initially 4.0 mi west of a flagpole...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A 50.0-g Super Ball traveling at 25.0 m/s bounces...Ch. 2 - The average person passes out at an acceleration...Ch. 2 - A certain car is capable of accelerating at a rate...Ch. 2 - The velocity vs. time graph for an object moving...Ch. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - PROBLEM A race car starting from rest accelerates...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In 1865 Jules Verne proposed sending men to the...Ch. 2 - A truck covers 40.0 m in 8.50 s while uniformly...Ch. 2 - A speedboat increases its speed uniformly from vi...Ch. 2 - A Cessna aircraft has a liftoff speed of 120....Ch. 2 - An object moves with constant acceleration 4.00...Ch. 2 - In a test run, a certain car accelerates uniformly...Ch. 2 - A jet plane lands with a speed of 100 m/s and can...Ch. 2 - Speedy Sue, driving at 30.0 m/s, enters a one-lane...Ch. 2 - A record of travel along a straight path is as...Ch. 2 - A train is traveling down a straight track at 20...Ch. 2 - A car accelerates uniformly from rest to a speed...Ch. 2 - A car starts from rest and travels for 5.0 s with...Ch. 2 - A car starts from rest and travels for t1 seconds...Ch. 2 - In the Daytona 500 auto race, a Ford Thunderbird...Ch. 2 - The kinematic equations can describe phenomena...Ch. 2 - A hockey player is standing on his skates on a...Ch. 2 - A train 4.00 102 m long is moving on a straight...Ch. 2 - A ball is thrown vertically upward with a speed of...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - A certain freely falling object, released from...Ch. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Traumatic brain injury such as concussion results...Ch. 2 - A small mailbag is released from a helicopter that...Ch. 2 - A tennis player tosses a tennis ball straight up...Ch. 2 - A package is dropped from a helicopter that is...Ch. 2 - A model rocket is launched straight upward with an...Ch. 2 - A baseball is hit so that it travels straight...Ch. 2 - A truck tractor pulls two trailers, one behind the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A bullet is fired through a board 10.0 cm thick in...Ch. 2 - A speedboat moving at 30.0 m/s approaches a...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - Mature salmon swim upstream, returning to spawn at...Ch. 2 - An insect called the froghopper (Philaenus...Ch. 2 - An object is moving in the positive direction...Ch. 2 - A ball is thrown upward from the ground with an...Ch. 2 - A player holds two baseballs a height h above the...Ch. 2 - A ball thrown straight up into the air is found to...Ch. 2 - The thickest and strongest chamber in the human...Ch. 2 - Emily challenges her husband, David, to catch a 1...Ch. 2 - A mountain climber stands at the top of a 50.0-m...Ch. 2 - One of Aesops fables tells of a rare between a...Ch. 2 - In Bosnia, the ultimate test of a young nuns...Ch. 2 - A stuntman sitting on a tree limb wishes to drop...
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