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
Magnetism Solutions
2.
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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
Static Electricity solutions
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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
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
Simple Harmonic Oscillation solution
3.
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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
Waves solutions
3.
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(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
Kinematics solution
7.
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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
Dynamics solution
1.
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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
Rotational Motion solution
1.
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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 +
Linear Momentum solution
1.
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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
Work, energy and power solution
1.
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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
Chapter Static Electricity
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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
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?
Magnetism
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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
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
Chapter Electromagnetism
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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
Chapter 9. Waves
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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
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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
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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)
Chapter 6 Linear Momentum
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1.
The momentum of a particle is given by p(t) = 4.8t2 i 8.0 j 8.9t k. What is the force
as a function of time?
2.
A golf ball of mass 0.045 kg is hit off the tee at a speed of 45 m/s. The golf club was in
contact with the
Chapter 4 - Dynamics
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1.
Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is
60o. If dog A exerts a force of 270 N and dog B exerts a force of 300 N, find the
magnitude of the resultant force and the angle it makes
Chapter 3 - Kinematics
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1.
What is the difference between distance and displacement?
2.
Average speed can mean the magnitude of the average velocity vector. Another
meaning given to it is that average speed is the total length of path travelled divi
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 2 - Vectors
1
a)
b)
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Distinguish between a scalar and a vector quantity.
Which of the following physical quantities are vectors? Justify your choice.
displacement, distance, heat, kinetic energy, power, force, weight, pressure,
resistance, e
Thermal properties of matter and
First Law of Thermodynamics
Temperature
Temperature is the degree of hotness or
coldness.
Our senses provide only a qualitative
indication of temperature.
We need
a technical definition of temperature.
a reliable and r
Simple Harmonic Motion (SHM)
Physics MS811M
Harmonic motion
A motion which repeats in equal intervals of
time is termed aa a periodic motion.
If the periodic motion occurs back and forth
over the same path, then it is termed
oscillatory or harmonic.
Exa
Rotational Motion
Physics MS811M
Rigid body rotation
A rigid body is defined as a body which has a definite
unchanging shape and size despite the application of forces on
it.
Real objects do deform under the influence of forces.
Angular quantities
In pure
Circuits
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Electricity
A form of energy due to flow of electric charges, such as
electrons and ions.
Can be converted to other forms of energy, viz:
heat (hair dryer, oven, iron, etc),
chemical (battery, electrolysis)
mechanical (fans, pumps, lifting
Electromagnetism
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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