Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
10th Edition
ISBN: 9781337699266
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 25.3, Problem 25.3QQ
Two capacitors are identical. They can be connected in series or in parallel. If you want the smallest equivalent capacitance for the combination, how should you connect them? (a) in series (b) in parallel (c) either way because both combinations have the same capacitance
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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 25 Solutions
Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
Ch. 25.1 - A capacitor stores charge Q at a potential...Ch. 25.2 - Many computer keyboard buttons are constructed of...Ch. 25.3 - Two capacitors are identical. They can be...Ch. 25.4 - You have three capacitors and a battery. In which...Ch. 25.5 - If you have ever tried to hang a picture or a...Ch. 25 - (a) When a battery is connected to the plates of a...Ch. 25 - Two conductors having net charges of +10.0 C and...Ch. 25 - When a potential difference of 150 V is applied to...Ch. 25 - An air-filled parallel-plate capacitor has plates...Ch. 25 - A variable air capacitor used in a radio tuning...
Ch. 25 - Review. A small object of mass m carries a charge...Ch. 25 - Find the equivalent capacitance of a 4.20-F...Ch. 25 - Why is the following situation impossible? A...Ch. 25 - A group of identical capacitors is connected first...Ch. 25 - Three capacitors are connected to a battery as...Ch. 25 - Four capacitors are connected as shown in Figure...Ch. 25 - (a) Find the equivalent capacitance between points...Ch. 25 - Find the equivalent capacitance between points a...Ch. 25 - You are working at an electronics fabrication...Ch. 25 - Two capacitors give an equivalent capacitance of...Ch. 25 - Two capacitors give an equivalent capacitance of...Ch. 25 - A 3.00-F capacitor is connected to a 12.0-V...Ch. 25 - Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are...Ch. 25 - Two identical parallel-plate capacitors, each with...Ch. 25 - Two identical parallel-plate capacitors, each with...Ch. 25 - Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are...Ch. 25 - A parallel-plate capacitor has a charge Q and...Ch. 25 - Consider two conducting spheres with radii R1 and...Ch. 25 - A supermarket sells rolls of aluminum foil,...Ch. 25 - Determine (a) the capacitance and (b) the maximum...Ch. 25 - The voltage across an air-filled parallel-plate...Ch. 25 - A commercial capacitor is to be constructed as...Ch. 25 - Each capacitor in the combination shown in Figure...Ch. 25 - A 2.00-nF parallel-plate capacitor is charged to...Ch. 25 - An infinite line of positive charge lies along the...Ch. 25 - A small object with electric dipole moment p is...Ch. 25 - The general form of Gausss law describes how a...Ch. 25 - You are working in a laboratory, using very...Ch. 25 - Four parallel metal plates P1, P2, P3, and P4,...Ch. 25 - A uniform electric field E = 3 000 V/m exists...Ch. 25 - Two large, parallel metal plates, each of area A,...Ch. 25 - A parallel-plate capacitor with vacuum between its...Ch. 25 - Why is the following situation impossible? A...Ch. 25 - Two square plates of sides are placed parallel to...Ch. 25 - (a) Two spheres have radii a and b, and their...Ch. 25 - Assume that the internal diameter of the...Ch. 25 - A parallel-plate capacitor of plate separation d...Ch. 25 - To repair a power supply for a stereo amplifier,...Ch. 25 - Example 25.1 explored a cylindrical capacitor of...Ch. 25 - You are part of a team working in a machine parts...Ch. 25 - Consider two long, parallel, and oppositely...Ch. 25 - Some physical systems possessing capacitance...Ch. 25 - A parallel-plate capacitor with plates of area LW...Ch. 25 - A capacitor is constructed from two square,...Ch. 25 - This problem is a continuation of Problem 45. You...
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