Chapter 32 (Electromagnetic
Waves)
Goal of Chapter 32
: () ?
(standing wave)
(Maxwells Equations)
:
:
Qencl
: E dA
0
()
( )
:
: B dA 0
:
d
d B
E dl B dA
dt
dt
( )
(, , x- )
( ,
.)

Chapter 27.
(Magnetic Field and Magnetic Forces)
Goal of Chapter 27
(magnet) (magnetic field)
(magnetic force)
() [magnetic (dipole) moment]
B.C. 800
1750 John Michell
(Fe3O4)
1269 de Maricourt
Fm 1/r2
1820 Hans Oerstead ()
N S

Chapter 30.
(Inductance)
Goal of Chapter 30
(self-inductance)?
DC R-L
L-C (LC Oscillation)
R-L-C
(Mutual Inductance)
1 , 2
, .
i1 B 2
N 2 B 2 M 21i1
i2 B1
N 1 B1 M 12 i2
d B 2
di
M 21 1
dt
dt
d
di
1 N 1 B1 M 12 2
dt
dt
2 N 2
(Mutual induc

Chapter 23.
(Electric Potential)
Goal of Chapter 23
(conservative force)
:
Wa b
b
a
(mechanical energy):
b
F dl F cos dl
E K U
a
:
Wa b K K b K a
(work-energy theorem)
:
K U
Ka Ua Kb Ub
,
:
Wa b U a U b
(U b U a ) U
b
F dl
a
, (

Chapter 22.
(Gausss Law)
Goal of Chapter 22
(Electric Flux)
: 4 1
, ? Gausss Law ( )
(Coulombs law)
(conductor) ( )
(Electric Charge)
(Electric Flux)
No net charge
Electric flux: field lines through surface
Flux of a Uniform Electric Field
Flu

Chapter 24.
(Capacitance and Dielectrics)
Goal of Chapter 24
:
(Parallel Plate Capacitor)
(Capacitor):
:
C
q
V
(Charging):
(1 F = 1 C/V)
:
:
(Capacitance)
1.
q
1.
q
Gaussian surface
+q
-q
2.
q
E dA
e0
3.
3.
f
q
C
V
E dl
S
V
e

2. A tall cylindrical chimney of mass M will fall over when its base is ruptured. Treat the chimney as a uniform thin rod of length L. At the instant it
makes an angle of < 90 with the vertical, what is its angular speed ? The
1
gravitational acceleration

Chapter 15
1.
A piano string of density 0.0050 kg/m is under a tension of 1350 N. Find the
velocity with which a wave travels on the string.
a.
b.
c.
d.
e.
2.
Transverse waves are traveling on a 1.00-m long piano string at 500 m/s. If the
points of zero v

Chapter 16
1.
A car moving at 36 m/s passes a stationary police car whose siren has a
frequency of 500 hz. What is the change in the frequency (in Hz) heard by an
observer in the moving car as he passes the police car? (The speed of sound in air
is 343 m/

Chapter 13
1.
The amplitude of a system moving with simple harmonic motion is doubled. The
total energy will then be
a.
b.
c.
d.
e.
2.
4 times larger
3 times larger
2 times larger
the same as it was
half as much
The mass in the figure slides on a friction

Chapter 14
1.
Some species of whales can dive to depths of 1 kilometer. What is the total
pressure they experience at this depth? (sea = 1020 kg/m3 and
105 N/m2 = 1 ATM.)
a.
b.
c.
d.
e.
2
9 ATM
90 ATM
101 ATM
111 ATM
130 ATM
What fraction of an iceberg is

Chapter 12
1.
What is the magnitude of the free-fall acceleration at a point that is a distance 2R
above the surface of the Earth, where R is the radius of the Earth?
a.
b.
c.
d.
e.
2.
A spaceship of mass m circles a planet (mass = M) in an orbit of radiu

Chapter 11
1.
A horizontal meter stick supported at the 50-cm mark has a mass of 0.50 kg
hanging from it at the 20-cm mark and a 0.30 kg mass hanging from it at the
60-cm mark. Determine the position on the meter stick at which one would hang
a third mass

Chapter 9-10
Rotation of a Rigid Body, Dynamics of Rotational
Motion
1.
A wheel rotating about a fixed axis has an angular position given by
= 3.0 2.0t 3 , where is measured in radians and t in seconds. What is the
angular acceleration of the wheel at t

Chapter 9-10
Rotation of a Rigid Body, Dynamics of Rotational
Motion
1.
A particle located at the position vector r = (i + j) m has a force F = (2i + 3j) N
acting on it. The torque about the origin is
a.
b.
c.
d.
e.
2.
A particle whose mass is 2 kg moves

Chapter 8
Linear Momentum and Collisions
1.
A 2000-kg truck traveling at a speed of 6.0 m/s makes a 90 turn in a time of 4.0 s
and emerges from this turn with a speed of 4.0 m/s. What is the magnitude of
the average resultant force on the truck during thi

Chapter 6
Energy
1.
A constant force of 12 N in the positive x direction acts on a 4.0-kg object as it
moves from the origin to the point (6i 8j) m. How much work is done by the
given force during this displacement?
a.
b.
c.
d.
e.
2.
How much work is done

Chapter 4-5
The Laws of Motion
1.
In the figure, if the tension in string 1 is 34 N and the tension in string 2 is 24 N,
what is the mass of the object shown?
1
2
40
40
M
a.
b.
c.
d.
e.
2.
7.3 kg
5.5 kg
1.8 kg
3.7 kg
4.5 kg
If M = 1.1 kg, what is the tens

Chapter 7
Potential Energy
1.
A single conservative force Fx = (6.0x 12) N (x is in m) acts on a particle moving
along the x axis. The potential energy associated with this force is assigned a
value of +20 J at x = 0. What is the potential energy at x = 3

Chapter 1-3
1.
The position of a particle moving along the x axis is given by
x = 21+ 22 6. t2 m , where t is in s. What is the average velocity during the
t0
time interval t = 1.0 s to t= 3. s?
0
(
a.
b.
c.
d.
e.
2.
6.0 m/s
4.0 m/s
2.0 m/s
8.0 m/s
8.0 m/