Chapter 9 Linear Momentum and Collisions
Answers to Even-numbered Conceptual Questions
2. 4. Doubling an object's speed increases its kinetic energy by a factor of four, and its momentum by a factor of two. No. For example, suppose object 2 has four
UIC PHYSICS 105 Spring 2013 Practice Final Exam
UIC Physics 105
Practice Final Exam
Spring 2013
Best if used by May 5
PROBLEM
Multiple
Choice
Short
Problem 1
Short
Problem 2
Short
Problem 3
Short
Problem 4
Short
Problem 5
Short
Problem 6
Total
POINTS
40
1
UICPHYSICS105Spring2013Midterm2PracticeExam
UIC Physics 105
Midterm 2 Practice Exam
Spring 2013
Best if used by March 31
PROBLEM
Multiple
Choice
Short
Problem 1
Short
Problem 2
Short
Problem 3
Short
Problem 4
Short
Problem 5
Short
Problem 6
Total
POINTS
4
UICPHYSICS105Spring20132ndMidtermExam
UIC
#
Physics 105
2nd Midterm Exam
Spring 2013
April 4, 2013
LAST Name (print) _
FIRST Name (print) _
Signature: _
UIN #: _
Circle Your Instructor:
(First class day: time)
Kouznetsov
(Monday: 8:00 am)
Campuzano
(Tuesd
9
Momentum
Linear Momentum, Momentum-Impulse Theorem
m
?
initially at rest
M
If M = 10 m and v0 = 5 m/s then we will measure v 0.5 m/s
It is tempting to conclude that the total amount of motion is the same before and after
the boy jumps onto the cart, sin
10
Energy and Work
Potential Energy. Gravitational Force
y
y
Workdonebyaconservativeforceissomehow
Wgravity mg ( y y0 )
B stored
mgh
Wgravity (mgy mgy0 ) (U U 0 ) U
g
h
y0
A
U mgy
PotentialEnergy
Atgroundlevel: U0
mgy0 0
PotentialEnergy:
U mgh
Sinceth
PHYS 105
2nd Midterm Exam
Date: Tuesday, July 21
Time: 8:00 AM 9:40 AM
Location:
SES 130
Structure of exam:
15 independent multiple choice questions
(3-4 questions per each chapter)
4 "Short/Long Problems" (2-3 questions per
problem)
MT2 exam will cover:
9
Momentum
Momentum and Collisions in Two Dimensions
Momentum and Center of Mass Velocity
Since momentum is always conserved, the velocity of the center of mass before any
collisions will always be equal to the velocity of the center of mass of the system
PHYS 105
1st Midterm Exam
Date: Thursday, July 2
Time: 8:00 AM 9:40 AM
Location: SES 130
Structure of exam:
15 independent multiple choice questions
(3-4 questions per each chapter)
4 Long/Short" problems (2-3 questions
per "Short")
MT1 exam will cover:
C
PHYS 105:
Introduction to Physics Course
Serguei V. Kouznetsov, Ph.D.
(PHYS 105 instructor/coordinator, office: 3136 SES)
skouznet@uic.edu
Office Hours:
Monday, Tuesday, and Thursday 10:00 AM 11:30 AM
Physics 105 web site: https:/blackboard.uic.edu/
Georg
PHYS 105: Applying Newtons Laws
Tension. Ropes and Pulleys
Ch. 5
Tension
When you pull on a string or rope, it becomes taut. We say that there is
tension in the string.
Mass suspended
by a string
mstring Tt
Tb
The tension in a real string will
vary along
Ch. 3
PHYS 105: Vectors and Motion in Two Dimensions
Projectile Motion
Range of a Projectile
2
v0
sin( 2 0 )
x
g
x max
2
v0
g
the maximum horizontal distance
traveled by the projectile
Example: A pirate ship is 560 m from a fort defending a harbor entran
Ch. 4
PHYS 105: Forces and Newtons Laws of Motion
Newtons 3rd Law
Newtons 3rd Law: If object A exerts a force on object B, then object B exerts a
force of A of equal magnitude in opposite direction
Forces always appear in pairs FAB = FBA
The sing means t
Ch. 1
PHYS 105: Introduction to Physics
Trigonometry. Estimation
Trigonometry
Example: An observer, whose eyes are 1.8 m above the ground, is standing 50
m away from a tree. The ground is level, and the tree is growing perpendicular
to it. The observer's
UIC: PHYS105
Get your iClickers ready
1
UIC: PHYS105
Introduction to Physics
Which one of the following equations is dimensionally correct?
1
2
2
(A) x v t
The SI units for the quantities are:
x: m
v: m/s
a: m/s2
x2
(B) v
t
(C) v 2 a x
(D) x a t
2
2
L
Ch. 3
PHYS 105: Vectors and Motion in Two Dimensions
Relative Motion
GalileanPrincipleofRelativity
referenceframe:
O
V
65mi/h
referenceframe:
85mi/h
v and v'
v' v V
The motion in the y-direction
is independent of the motion in
the x-direction
Galileo Ga
Ch. 3
PHYS 105: Vectors and Motion in Two Dimensions
Using Vectors: Vector Components
Scalars and Vectors in Physics
Scalars
distance
speed
mass
temperature
etc.
Physical Quantities
Vectors
Multiplication of a vector by a displacement
velocity
scalar cha
v avg
x fin x ini
t fin t ini
v fin v ini
t fin t ini
aavg = ( 8 4)/(8 0) = 1.5 m/s2
v(m/s)
0
048 t(s)
4
8
4
2
0
048 t(s)
2
4
16
vavg = (0 4)/(8 0) = 0.5 m/s
(d) Determine the objects average
acceleration between t = 0 and t = 8 s.
aavg
4
a(m/s2)
Exampl
UICPHYSICS105Spring2013PracticeExam1
UIC Physics 105
Midterm Practice Exam 1
Spring 2013
Best if used by February 17
PROBLEM
Multiple
Choice
Short
Problem 1
Short
Problem 2
Short
Problem 3
Short
Problem 4
Short
Problem 5
Short
Problem 6
Total
POINTS
40
10
Ch. 7
PHYS 105: Rotational Motion
Torque. Net Torque
To make an object start rotating,
a force is needed
The position and direction of the
force matter as well.
R
R
Torque: F r
lever arm
F
Example:
r=0.01m
nut
Fnut =?
SI: Nm
The perpendicular distance fro
PHYS 105
1st Midterm Exam
Date: Thursday, July 2
Time: 8:00 AM 9:40 AM
Location: SES 130
Structure of exam:
15 independent multiple choice questions
(3-4 questions per each chapter)
4 "Short" problems (2 questions per
"Short")
MT1 exam will cover:
Chapter
Ch. 7
PHYS 105: Rotational Motion
Rolling Motion
Combined Rotational and Translational Motion: Rolling Motion
Pure rotational motion:
vr
Pure translational (linear) motion:
vt
v r R
0
Rolling Motion:
x
t
R
vt
t
t
vt
vt
vcm
vt R vr
No Slip
v =0
x =R
vt
Problem 1
Two small insulating spheres each of mass m = 0.30 milligrams carry charges of equal magnitude (q =
15 pC) but opposite sign are connected by a light, rigid, insulating rod of length d = 5.0 cm, as shown
above. The charges are placed a distance
III. More practice
Problem 3: When a laser is shone upon a double slit, a close-up of the center
of the pattern looks like the figure at the right. If one of the slits is covered
(the left one) but the other slit remains open, what will the pattern look l
“mm,
Long Problem #4: (18 points)
A circuit containing two resistors (10 Q and 20 E2), two capacitors (l2 uF and 4 uh), and a switch ( S) is
connected to a 6 V battery, as shown above.
} €47 (a) Calculate the total capacitance of the circuit.
; r“.
Problem 3
A laser emits 1.30 x 1018 photons per second in a beam of light that has a diameter of 2.00 mm and a
wavelength of 514 nm. ' . ~
(a) Find the rms electric field strength for the electromagnetic wave that constitutes the beam. (Hint:
start by ﬁnd
Problem 2 A hypothetical atom
A hypothetical Bohr atom has three energy levels: -6.0 eV, -3.0 eV, and -1.0 eV.
(a) Sketch the atoms energy-level diagram to scale. Label each level with the energy and the principal quantum number.
(b) Calculate the wavelen
2, A ball with mass m = 500 g and unknown charge 1; is suspended from a string
of length L = 0.80 In between two conducting plates as shown in the diagram,
When the two plates, which are d: 2.0 rn apart. are connected to a ZOO—volt
battery (as shown), the