Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 101

Summer 2014
Surname 1
Name
Professor
Course
Date
The Twin Cities region
The Twin Cities region is a main urban area around Mississippi and Minnesota rivers. Its
name originates from the two large cities of Minneapolis and Saint Paul. The cities are close to
each othe
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 101

Summer 2014
The plasma waves are in a state of matter and sometimes added to the three states of matter i.e.
liquids, gases and solids. This kind of state occurs when gaseous particles get to obtain energy
such that the electrons leave the atoms. Therefore, they are
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 101

Spring 2016
Movie Permission Slip
Please be advised that the movie The Outsiders will be shown to students as part of the language arts
curriculum. The movie is rated PG13. If you have any questions or concerns, please contact Mrs. Stahl at
[email protected]
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
https:/quizlet.com/37065300/evolutionchapter19developmentandevolutionflashcards/
How is a zygote transformed into an adult organism?
Embryos start out as a mass of cells. As development continues,
cells in each part of the embryo begin expressing di
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
What is an evolutionary tree?
A diagram of the relationships of ancestry and descent among a
group of species or populations; in paleontological studies the
ancestors may be known from fossils, whereas in studies of
extant spieces the ancestors may be hyp
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Units, Dimensions and Conversions
18 January 2015
Prof. J C N Rajendra
1
Measurements
Like all other sciences, physics is based on
experimental observations and quantitative
measurements.
To describe natural phenomena, we must make
measurements of various
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Significant Figure
25 January 2015
Prof. J C N Rajendra
1
Significant Figure
Significant Figure
The number of meaningful digits in a number is called
the number of signicant gures or signicant digits.
Eg.
If we say that the distance from here to Dehiwela
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Mathematics Review
18 January 2015
Prof. J C N Rajendra
1
Exponents
Algebraic symbols can be raised to a power
x
n
Exponent number
Base number
Eg: 34
Eg: 34 = 3 x 3 x 3 x 3 = 81
18 January 2015
Prof. J C N Rajendra
2
Exponents
Note:
x0
1
x
x2
x
3
18 Janua
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Forces and Newtons Laws
In the previous classes we used the concepts of displacement, velocity, and
acceleration to study the motion of objects.
Now we want to know how the object moves and why it moves, or, just as
importantly, why an object doesnt move?
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Projectile Motion
1
Projectile Motion
An object may move in both the x and y directions
simultaneously (i.e. in two dimensions)
The form of two dimensional motion we will deal with
is called projectile motion
We may:
ignore air friction
ignore the ro
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Free Fall
Prof. J C N Rajendra
1
Free Fall
All objects moving under the influence of only gravity
are said to be in free fall
All objects falling near the earths surface fall with a
constant acceleration
This acceleration is called the acceleration due
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Applications of Newton's Law
Problem 1
In Figure, a cord pulls on a box of biscuits up a
long a frictionless plane inclined at = 30o. The
box has mass m = 5.00 kg, and the force from the
cord has magnitude T = 25.0 N. What is the box's
acceleration compon
Institute for Studies in Theoretical Physics and Mathematics (IPM)
Physics
PHY 1000

Spring 2015
Frictional Forces
Weve been discussing forces on objects who have surfaces in contact. The
Normal Force is perpendicular to the surface.
There is another force due to surfaces in contact in which the force is parallel to
the surface. This is call the Fric
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
an increase in the upward magnetic ux at
the loop. This means that the direction of the
change in the magnetic ux is upward. Lenzs
law implies that the loop generates an induced
magnetic eld Bind to o
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
Induced Generator EMF
31:07, calculus, numeric, > 1 min, normal.
014 (part 1 of 2) 10 points
An ac generator consists of eight turns of wire,
each of area 0.09 m2 , and total resistance
of 12 . The lo
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
The magnetic eld pole has a circular cross
sectional radius of 2.5 cm.
m
1. The electric eld is perpendicular to r and
directed clockwise.
B
2. The electric eld is perpendicular to r and
directed coun
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
B d v2
R2
Explanation:
Note: The part of the rod which extends
past the rails does not have a bearing on the
answers.
Lenzs law states that the induced current
appears such that it opposes the change
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
3
Faradays Law for solenoid
I
d
dt
d (BA)
.
= N
dt
E = N
t
0
2
3
2
2
5
2
3
Magnetic eld induced by inner solenoid
B = 0 n I .
keywords:
So the induced emf is
d
dt
d (B A2 )
= N1
dt
dB
= N1 A2
dt
d (0
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
6
keywords:
009 (part 2 of 2) 10 points
What is the acceleration when the velocity
v = 1 m/s?
Correct answer: 0.0381898 m/s2 .
Explanation:
To get the velocity as a function of time we
need the accele
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
change direction. The induced current will
be in a direction to oppose this change; i.e.,
clockwise.
003 (part 2 of 3) 10 points
What is the expression for the magnitude of
the induced current in the
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
keywords:
B = B A
Bar Pulled Through a Field 03
31:02, calculus, multiple choice, > 1 min, normal.
008 (part 1 of 2) 10 points
A bar of negligible resistance and mass of
33 kg in the gure below is pul
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
the current in the straight wire.
Correct answer: 63.2227 mV.
Explanation:
Let : N = 100 ,
= 200 rad/s ,
= 22 cm ,
a = 5.3 cm ,
b = 17 cm , and
I0 = 50 A .
dr
4
which is a maximum when the cosine fun
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
Changing Magnetic Field 03
31:01, calculus, numeric, > 1 min, normal.
001 (part 1 of 1) 10 points
The plane of a rectangular coil of dimension
5 cm by 8 cm is perpendicular to the direction
of a magne
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
038 (part 1 of 3) 10 points
Consider the circuit below.
C
The maximum voltage on the capacitor C
will be given by
max
1. VC
=
S b
E
max
2. VC
=
a
L
max
=
3. VC
R
max
4. VC
=
After leaving the switch a
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
I0 =
T
2. t =
10
T
3. t =
correct
12
T
4. t =
4
T
5. t =
3
T
6. t =
2
T
7. t =
5
3T
8. t =
4
2
9. t =
5
7
10. t =
8
Explanation:
V
.
R
The rms current is
Irms =
=
I2
1
T
T
(I0 sin t)2 dt
0
I0
V
= =
2
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
Uc =
Q2
Q2
= m cos2
2C
2C
t
LC
2. UL =
3. UL =
4. UL =
5. UL =
Q2
m
2C
Q2
m
2C
Q2
m
2C
Q2
m
2C
Q2
m
2C
t
correct
LC
t
exp
LC
sin2
3. U
4. U
5. U
6. U
7. U
1 exp
Q2
t
m
cos
2C
LC
2
Qm
cos2 t L C
=
2
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
Note that when the charge is zero on the
capacitor, the current is at its maximum level.
(Why?) Also
100 H
2 F
5V
19
S b
Qmax = V C ,
a
What is the rst time at which the charge
on the capacitor is zer
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
Explanation:
The magnetic eld of a solenoid is
17
charge Qm on its plates. At t = 0 the switch
is closed.
C
B = 0 n I .
L
The magnetic ux is
Qm
B = B A = (0 n I) (R2 ) ,
S
so by Faradays Law the emf i
Institute for Studies in Theoretical Physics and Mathematics (IPM)
PHY 2180

Fall 2014
Version One Homework 3 Juyang Huang 24018 Mar 02, 2008
The magnetic energy within the cylindrical
annulus is
B2
d Um =
Vannulus
2 0
B2
2 r dr
=
2 0
B2
=
r dr
0
16
The permeability of free space is 4
107 T m/A.
Assuming the inner coil is absent, determin