Chapter 7 Rotational Motion
MS811M
1.
An electric fan is turned off, and its angular velocity decreases uniformly from 500
rev/min to 200 rev/min in 4.00 s. (a) Find the angular acceleration in rev/s2 and the
number of revolutions made by the motor in the

Chapter Electromagnetism
MS811M
1.
A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field
that varies with time according to B = (0.0120 T/s) t + (3.00 10-5 T/s4) t4. The coil is
connected to a 600- resistor, and its plane i

Thermal properties of matter and First Law of Thermodynamics
1.
A copper calorimeter cup with mass 0.100 kg contains 0.160 kg of water and
0.0180 kg of ice which are in thermal equilibrium at atmospheric pressure. If
0.750 kg of lead at a temperature of 2

Magnetism
MS811M
1.
A proton moves with a speed of 1.00105 m/s through Earths magnetic field, which
has a value of 55.0 T at a particular location. When the proton moves eastward, the
magnetic force acting on it is directed straight upward and when it mov

Chapter 14 Circuits
MS811M
1.
For the system of capacitors shown in below figure, a potential difference of 25 V is
maintained across ab. (a) What is the equivalent capacitance of this system between a
and b? (b) How much charge is stored by this system?

Chapter Static Electricity
MS811M
Some useful constants: melectron = 9.11 10-31 kg, mproton = 1.67 10-27 kg,
magnitude of charge of proton or electron = 1.6 10-19 C, k = 9 109 Nm2/C2
1.
The electron and proton of a hydrogen atom are separated (on the aver

Work, energy and power solution
1.
MS811M
IDENTIFY and SET UP: For parts (a) through (d), identify the appropriate value of and use the relation
W = FP s = ( F cos ) s. In part (e), apply the relation Wnet = Wstudent + Wgrav + Wn + W f .
EXECUTE: (a) Sinc

Linear Momentum solution
1.
MS811M
The force is the derivative of the momentum with respect to time.
2
dp d 4.8t i 8.0 j 8.9t k
F=
=
= 9.6t i 8.9 k N
dt
dt
(
2.
)
(
)
(a) The impulse is the change in momentum. The direction of travel of the struck ball i

Rotational Motion solution
1.
MS811M
IDENTIFY: Apply the constant angular acceleration equations to the motion of the fan.
(a) SET UP: 0 z = (500 rev/min)(1 min/60 s) = 8.333 rev/s, z = (200 rev/min)(1 min/60 s) = 3.333 rev/s,
t = 4.00 s, z = ?
z = 0 z +

Dynamics solution
1.
MS811M
IDENTIFY: Vector addition.
SET UP: Use a coordinate system where the + x-axis is in the direction of FA , the force applied by
dog A. The forces are sketched in Figure.
EXECUTE:
FAx = +270 N, FAy = 0
FBx = FB cos60.0 = (300 N)c

Kinematics solution
7.
MS811M
IDENTIFY: x = vav-x t
SET UP: We know the average velocity is 6.25 m/s.
EXECUTE: x = vav-x t = 25.0 m
EVALUATE: In round numbers, 6 m/s 4 s = 24 m 25 m, so the answer is reasonable.
8.
(a) IDENTIFY: Calculate the average velo

Waves solutions
3.
MS811M
(a)
2 y 1 2 y
=
x 2 v 2 t 2
y = A sin(kx t)
y
= Ak cos(kx t)
x
2 y
= Ak 2 sin(kx t) = LHS
x 2
y
= A cos(kx t)
t
1 2 y
1
= + A2 2 sin(kx t) = RHS
2
2
v t
v
But
v
LHS = RHS
Amplitude = 2.00 cm
2
k=
2
2.11 =
2
=
= 2.99 m
2.11
2
=
f

Simple Harmonic Oscillation solution
3.
MS811M
IDENTIFY: For SHM the motion is sinusoidal.
SET UP: x(t ) = A cos(t ).
2
2
=
= 6.981 rad/s.
T
0.900 s
(a) x = 0.320 m at t1 = 0. Let t2 be the instant when x = 0.160 m. Then we have
EXECUTE:
x (t ) = A cos(t

Thermal properties of matter and First Law of Thermodynamics solution
1.
The initial temperature of the ice and water mixture is 0.0C. Assume all the ice melts.
We will know that assumption is incorrect if the final temperature we calculate is less
than 0

Static Electricity solutions
MS811M
Some useful constants: melectron = 9.11 10-31 kg, mproton = 1.67 10-27 kg,
magnitude of charge of proton or electron = 1.6 10-19 C, k = 9 109 Nm2/C2
4.
IDENTIFY: In a space satellite, the only force accelerating the fre

Magnetism Solutions
2.
MS811M
IDENTIFY and SET UP: Apply Eq. (27.2) to calculate F . Use the cross products of unit vectors from
Section 1.10.
EXECUTE: v = (+4.19 104 m/s) i + ( 3.85 104 m/s)
j
(a) B = (1.40 T)i
F = qv B = (1.24 108 C)(1.40 T)[(4.19 10

Chapter 14 Circuits-Solution
1.
MS811M
IDENTIFY: Three of the capacitors are in series, and this combination is in parallel with the other two capacitors.
SET UP: For capacitors in series the voltages add and the charges are the same;
1
1
1
=
+
+ . For ca

Chapter 9. Waves
MS811M
1.
A sinusoidal wave travelling in the positive x direction has amplitude of 15.0 cm, a
wavelength of 40.0 cm, and a frequency of 8.00 Hz. The vertical displacement of the
medium at t = 0 and x = 0 is also 15.0 cm.
a) Find the angu

Chapter 8 Simple Harmonic Oscillation
MS811M
1.
An object oscillates with simple harmonic motion along the x axis. Its displacement
from the origin varies with time according to the equation x 4.00 cos t / 4
where t is in seconds and the angles in the pa

Chapter 5. Work, energy and power
MS811M
1.
You push your physics book 1.50 m along a horizontal table-top with a horizontal
push of 2.40 N while the opposing force of friction is 0.600 N. How much work does
each of the following forces do on the book:
a)

Linear Momentum
In this lesson we will study linear momentum which is quite
useful to study scenarios such collision between a car and a
truck .
Newtons second law is more generally defined using linear
momentum.
Linear momentum
r
r
r
r
dv d(mv)
According

Work, Energy and Power
An alternate approach to Mechanics
Many problems in mechanics involve
varying forces which can be difficult to deal
with Newtons laws.
Therefore to solve such problems we use an
alternate method that is relatively simple
and efficie

Waves
Module code MS811M
What is a wave
Waves occur when a system is disturbed
from its equilibrium and the disturbance
propagates from one region of the system to
another.
Waves that require a medium to travel are
known as mechanical waves. Examples
are

Kinematics
Kinematics
Kinematics is a part of mechanics that
enables us to describe motion.
We need to define some physical quantities
which can help describe motion in one, two
and three dimensions.
Motion in one dimension
The simplest kind of motion is

Dynamics
Dynamics
Dynamics is that part of mechanics that
enables us to describe the relationship of
the motion to the forces that cause it.
Dynamics answers questions such as why is
it harder to control a car on wet ice than on
a dry surface or how is a

Static electricity
Atomic structure
Atoms are made up of :
negative electrons
positive protons
neutrons
There are two kinds of charges and we
differentiate by assigning + and -
signs.
An electron has a charge of -1.6x10-19 C.
A proton has a charge of +

Magnetism
Physics MS811M
Magnetism
Magnetic phenomena were first observed more than 2500
years ago in fragments of magnetized ore found near the
ancient city of Magnesia in western Turkey.
If a bar-shaped magnet is free to rotate, one end points north.
Th

Vectors
Scalar quantities
Physical quantities that do not have directions are called
scalar quantities or simply scalars.
It is completely specified by its numerical value
(positive or negative) and its unit.
A scalar can be added or subtracted algebraica

Electromagnetism
MS811M
Electromagnetism
An electrical generating station produces
electrical energy by converting other forms
of energy such as gravitational potential
energy at a hydroelectric plant and
chemical energy in a oil-fired plant.
This energy