ACP COLLEGE PHYS 1101/1102 BUNDLE
11th Edition
ISBN: 9781337685467
Author: SERWAY
Publisher: CENGAGE L
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Chapter 20.2, Problem 20.3QQ
Two circular loops are side by side and lie in the xy-plane. A switch is closed, starting a counterclockwise current in the left-hand loop, as viewed from a point on the positive z-axis passing through the center of the loop. Which of the following statements is true of the right-hand loop? (a) The current remains zero. (b) An induced current moves counterclockwise. (c) An induced current moves clockwise.
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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 20 Solutions
ACP COLLEGE PHYS 1101/1102 BUNDLE
Ch. 20.2 - Prob. 20.1QQCh. 20.2 - A bar magnet is falling toward the center of a...Ch. 20.2 - Two circular loops are side by side and lie in the...Ch. 20.3 - A horizontal metal bar oriented east-west drops...Ch. 20.3 - You intend to move a rectangular loop of wire into...Ch. 20.6 - Prob. 20.6QQCh. 20 - A bar magnet is held stationary while a circular...Ch. 20 - Does dropping a magnet down a copper tube produce...Ch. 20 - Figure CQ20.3 shows three views of a circular loop...Ch. 20 - A loop of wire is placed in a uniform magnetic...
Ch. 20 - As the conducting bar in Figure CQ20.5 moves to...Ch. 20 - How is electrical energy produced in dams? (That...Ch. 20 - Figure CQ20.7 shows a slidewire generator with...Ch. 20 - As the bar in Figure CQ20.5 moves perpendicular to...Ch. 20 - Eddy current are induced currents set up in a...Ch. 20 - The switch S in Figure 20.27 is closed at t = 0...Ch. 20 - A piece of aluminum is dropped vertically downward...Ch. 20 - When the switch in Figure CQ20.12a is closed, a...Ch. 20 - Prob. 13CQCh. 20 - A magneto is used to cause the spark in a spark...Ch. 20 - A uniform magnetic field of magnitude 0.50 T is...Ch. 20 - Find the flux of Earths magnetic field of...Ch. 20 - Prob. 3PCh. 20 - A long, straight wire carrying a current of 2.00 A...Ch. 20 - Prob. 5PCh. 20 - A magnetic field of magnitude 0.300 T is oriented...Ch. 20 - A cube of edge length = 2.5 cm is positioned as...Ch. 20 - Transcranial magnetic stimulation (TMS) is a...Ch. 20 - Three loops of wire move near a long straight wire...Ch. 20 - The flexible loop in Figure P20.10 has a radius of...Ch. 20 - Inductive charging is used to wirelessly charge...Ch. 20 - Medical devices implanted inside the body are...Ch. 20 - A technician wearing a circular metal band on his...Ch. 20 - In Figure P20.14, what is the direction of the...Ch. 20 - Prob. 15PCh. 20 - Find the direction of the current in the resistor...Ch. 20 - A circular loop of wire lies below a long wire...Ch. 20 - A square, single-turn wire loop = 1.00 cm on a...Ch. 20 - Prob. 19PCh. 20 - A circular coil enclosing an area of 100 cm2 is...Ch. 20 - To monitor the breathing of a hospital patient, a...Ch. 20 - An N-turn circular wire coil of radius r lies in...Ch. 20 - A truck is carrying a steel beam of length 15.0 m...Ch. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - In one of NASAs space tether experiments, a...Ch. 20 - Prob. 27PCh. 20 - An astronaut is connected to her spacecraft by a...Ch. 20 - Prob. 29PCh. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Considerable scientific work is currently under...Ch. 20 - A flat coil enclosing an area of 0.10 m2 is...Ch. 20 - A generator connected to the wheel or hub of a...Ch. 20 - A motor has coils with a resistance of 30.0 and...Ch. 20 - A coil of 10.0 turns is in the shape of an eclipse...Ch. 20 - Prob. 38PCh. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - An emf of 24.0 mV is induced in a 500-turn coil...Ch. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51PCh. 20 - Prob. 52PCh. 20 - Additional Problems Two circular loop of wire...Ch. 20 - Prob. 54APCh. 20 - Prob. 55APCh. 20 - Prob. 56APCh. 20 - An 820-turn wire coil of resistance 24.0 is...Ch. 20 - A spacecraft is in 4 circular orbit of radius...Ch. 20 - Prob. 59APCh. 20 - Prob. 60APCh. 20 - Prob. 61APCh. 20 - Prob. 62APCh. 20 - The magnetic field shown in Figure P20.63 has a...Ch. 20 - Prob. 64APCh. 20 - In Figure P20.65 the rolling axle of length 1.50 m...Ch. 20 - An N-turn square coil with side and resistance R...Ch. 20 - A conducting rectangular loop of mass M,...
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