Revised Final Exam Notes – Dec 2009
The final exam will have three parts:
•Part I Comprehensive problems
•Part II Comprehensive MC
• Part III: Test 4 MC
Test 4 MC covers Chapters 10, 13, 14 and 15 and counts as the one of
the eight test grades. The two grades of this eight will be dropped.
The multiple choice part of the Comprehensive exam will have fewer
conceptual questions than the tests and more focus on problem solving.
It is important to note that material from Chapters 10, 13, 14 and 15
will also be on the Comprehensive part.
The following is a tentative format for the final.
Comprehensive
Part I: Comprehensive problems: 5 problems total 100% - this
counts 12.5% of the final grade* (see below)
Part II: Comprehensive multiple choice 15 Multiple Choice = 100%
this counts 12.5% of the final grade
Part III: Test 4 MC: 12 Multiple Choice
You must bring a SCANTRON Form 882 E to the exam. Please don’t
bring the Form 882 E LOVAS as it has not been tested. The Test 4
multiple choice will be marked on the back of the scantron starting
with number 51.
You will be given the whole exam at the start. You will need to be
careful how you allocate your time.
The sections covered on the previous tests are listed on the website. The
following sections will be included in the Comprehensive part of the final
and also the Test 4 part of the final:
Chapter 10: Sections 2, 3, 4, 6, 8, 9, 10, 12 ( Skip 1, 5, 7, 11)
Chapter 13: Sections 6, 7, 8, 9, 10, 11, (Skip 1, 2, 3, 4, 5, 12, 13, 14)
Chapter 14: Sections 1, 2, 6, 7, 8 (Skip 3, 4, 5 )
Chapter 15: Sections 1, 2, 4, 5 (Skip 3, 6, 7, 8, 9, 10, 11, 12)
The Comprehensive part of the exam will cover “major” topics from all 15
chapters. The following minor topics will not be on the Comprehensive
part of the final: satellite motion, universal gravitation, impulse, stability
and balance (9-4), Pascal’s principle, decibels, Doppler effect and the
pendulum.
Major topics from the Test 4 material include the ideal gas law, internal
energy, heat engines and efficiency and fluid flow (Bernoulli and
Poiseuille)
The equation list for the final is on the last page.
Please be on time for the exam. Students arriving late are not guaranteed
extra time. If you arrive more than 10 minutes late, I will attempt to give
you missed time minus 10 minutes. Those arriving in the first 10 minutes
after the start time, will be given no additional time. Those arriving after
students have started to leave will not be permitted to take the exam.
You must bring a photo ID to the final– it will be checked as you leave.
You must bring a photo ID to the final– it will be checked as you leave.
Final Exam for 9:30 a.m. Lecture: Monday, Dec 14 7:30 a.m. - 10:15 a.m.
Final Exam for 10:30 a.m. Lecture: Wednesday, Dec 16 10:30 a.m. - 1:15 p.m.
You must take the exam in the section you are registered because each
class will have a different “curve”.
Students who take the wrong exam will:
•Receive an incomplete
•Have a “penalty” subtracted from each part of the final
•Have the grade for each part of final “adjusted” for differences in the
difficulty level of the two exams. This could be positive or negative.
The equation list for the final is on the final page. On the next page is a
list for the whole semester and there are equations for a few things that
will not be on the final.
v  v0  at 1
x  x0  v0 t 
2
v2
aR 
r
a t2
v 2  v02  2 a ( x  x0 )
F  ma
v v
v  0
2
F  G
Impulse  F t  p
m1m2
r2
P  PA  PG
P  PA   g h
Fout Aout

Fin
Ain
1
K E  mv 2
2
PE grav  mg y
PE elastic 
 2   02  2 
FB   F g V
1 2
kx
2
Q  A1v1  A2v2
F  k x
1
   0t   t 2   0  
2
2
1
1
P1   v12   g y1  P2   v22   g y2
2
2
  0   t
v   f
v  r
v0  2  A f   A
atan  r
aR   2 r
L  I
   I
I hoop  M R
T  2
  r F
I 
 mr
KErot 
1
I
2
2
2
I   I 0 0
P Fv
p  mv
t
W  F d cos 
Ffr   k FN
WNC  K E1  PE1  K E 2  PE 2
P W
2
1
I cylinder  M R 2
2
2
I sphere  M R 2
5
m
k
f 
I 
1
1

T
2
k
m
x  A cos 2 f t
T  2
Atmospheric Pressure = 1.01 x 105 Pa
Boltzman Constant k = 1.38 x 10-23 J/K
FT
m/L
v 
fn 
f BEAT  f1  f 2
PV  n R T
KE 
Avogadros’ Number Na = 6.022 x 1023 particles/mol
Intensity at threshold of hearing = 1.0x10-12 watts/m2
1 liter = 1.00X10-3m3
1
3
mv 2  k T
2
2
U
Q
T  T2
 kA 1
t
l
3
NkT
2
Q
 e A (T14  T24 )
t
U  Q  W
W  P V
Area inside a circle =  r2
Acceleration due to gravity = 9.80 m/s2
I 

 I0 
 v  vobs 

f '  f  snd
 vsnd  vsource 
Ideal Gas Law Constant R = 8.314 J/mol K
Density of water = 1.0x103 kg /m3
2L
n
  10 log 
Stefan-Boltzmann Constant σ = 5.67x10-8 W / m2 K4
Kelvin = 0C + 273
nv
2L
n 
L
g
 r 4 ( P1  P2 )
Q
8 L
P
4 r 2
W   P V
e 
W
Q  QL
Q
 H
1 L
QH
QH
QH
eideal  1 
TL
TH
v2
aR 
r
v  v0  at
1
x  x0  v0 t  a t 2
2
2
2
v  v0  2 a ( x  x0 )
F  ma
F  G
v v
v  0
2
Impulse  F t  p
m1m2
r2
P  PA  PG
P  PA   g h
1
K E  mv 2
2
Q
PE grav  mg y
WNC  K E1  PE1  K E 2  PE 2
PE elastic 
    2 
2
0
   0t 
1 2
kx
2
F  k x
1
 t 2   0  
2
2
P1 
v0  2  A f   A
atan  r
aR   2 r
L  I
   I
I hoop  M R
T  2
  r F
KErot 
1
I
2
2
2
I   I 0 0
1
1
 v12   g y1  P2   v22   g y2
2
2
v   f
v  r
 mr
 r 4 ( P1  P2 )
8 L
Q  A1v1  A2v2
  0   t
I 
p  mv
t
W  F d cos 
Ffr   k FN
2
P W
2
1
I cylinder  M R 2
2
I sphere 
m
k
f 
FT
m/L
v 
I 
1
1

T
2
k
m
x  A cos 2 f t
P
4 r 2
fn 
nv
2L
2L
n
n 
2
M R2
5
Atmospheric Pressure = 1.01 x 105 Pa
Boltzman Constant k = 1.38 x 10-23 J/K
PV  n R T
Stefan-Boltzmann Constant σ = 5.67x10-8 W / m2 K4
Ideal Gas Law Constant R = 8.314 J/mol K
KE 
Avogadros’ Number Na = 6.022 x 1023 particles/mol
U
Intensity at threshold of hearing = 1.0x10-12 watts/m2
Kelvin = 0C + 273
Density of water = 1.0x103 kg /m3
Q
T  T2
 kA 1
t
l
1 liter = 1.00X10-3m3
W   P V
3
NkT
2
Q
 e A (T14  T24 )
t
U  Q  W
W  P V
Area inside a circle =  r2
Acceleration due to gravity = 9.80 m/s2
1
3
mv 2  k T
2
2
e 
W
Q  QL
Q
 H
1 L
QH
QH
QH
eideal  1 
TL
TH