# PHYSICS 140 Study Guide - Final Guide: Notecards, Scantron Corporation, Inelastic Collision

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School
U of M
Department
Physics
Course
PHYSICS 140
Professor
Physics 140, Winter 2016
Final Exam
April 20, 2016
Form 1
Last First
Fill in your name, student ID number, and form number on the scantron and in the spaces above.
All cell phones, text messaging devices, computers, and communication devices of any type must be
turned off and stowed out of sight.
The exam is closed book. You may use four 3" × 5" (7.5 cm × 12.5 cm) notecards (both sides). You
may also use a calculator that cannot communicate with the outside world.
You cannot share calculators, notecards, scratch paper, exam booklets, or scantrons. Exam responses
must be based on your individual work only.
You must mark the correct answer on the scantron to get credit for each problem.
The exam is 120 minutes long. There are 25 multiple-choice questions. All questions are of equal
value. There is no penalty for guessing.
At the end of the exam, hand in your scantron and show your UM ID.
Constants and equations you may find useful:
x = x
0
+ v
0x
t + a
x
t
2
/2
v
x
= v
0x
+ a
x
t
v
x2
= v
0x2
+ 2a
x
(xx
0
)
θ = θ
0
+ ω
0z
t + α
z
t
2
/2
ω
z
= ω
0z
+ α
z
t
ω
z2
= ω
0z2
+ 2α
z
(θθ
0
)
v = Rω
a
tan
= dv/dt = Rα
a
= v
2
/R = ω
2
R
v
A/C
= v
A/B
+ v
B/C
(continued on the next page)
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I = m
1
r
12
+ m
2
r
22
+ ··· = r
2
dm
I = I
CM
+ Md
2
F
k
=
k
N
F
s,x
= – kx
F
g
= Gm
1
m
2
/r
2
v
orb
= (GM/r)
1/2
v
esc
= (2GM/r)
1/2
 =
·
p = mv
=∆ =
 = 

∆
r
CM
= (m
1
r
1
+ m
2
r
2
+ ···)/(m
1
+ m
2
+ ···)
τ = r × F
L = r × p = Iω
F
x
= – dPE/dx
TKE = mv
2
/2
RKE = Iω
2
/2
GPE = – Gm
1
m
2
/r
EPE = kx
2
/2
p
d
= p
0
+ ρgd
F
b
= ρ
fluid
V
displaced
g
A
1
v
1
= A
2
v
2
p
1
+ ρgy
1
+ ½ρv
12
= p
2
+ ρgy
2
+ ½ρv
22
x(t) = Acos(ωt + φ)
a
x
= – ω
2
x
ω = (k/m)
1/2
or (g/L)
1/2
or (mgd/I
pivot
)
1/2
ω = 2πf = 2π/T
k = 2π/λ
v = ω/k = λ/T = λf = (F/)
1/2
P
aver
= ½(F)
1/2
ω
2
A
2
g = 9.8 m/s
2
G = 6.67 × 10
-11
m
2
/kg
2
R
Earth
= 6.38 × 10
6
m
M
Earth
= 5.97 × 10
24
kg
p
atm
= 1 atm = 1.013 × 10
5
Pa
ρ
pure_water
= 1000 kg/m
3
TKE
i
+ RKE
i
+ GPE
i
+ EPE
i
+ W
non-cons
= TKE
f
+ RKE
f
+ GPE
f
+ EPE
f
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1. If you are weight conscious and want to minimize the reading when you stand on a scale, then the
place to take the reading is on a scale in an elevator that is
a) moving downward at constant speed
b) moving downward with decreasing speed
c) remaining stationary
d) moving upward with increasing speed
e) moving upward with decreasing speed
2. In formulating his theory of gravity, Isaac Newton asked himself what would happen if he threw an
apple horizontally at very high speed. He realized that if he threw it fast enough, its falling trajectory
would match the curvature of the Earth, and the apple would return to him in a circular orbit. What is
the speed with which Sir Isaac would have needed to throw the apple for that circular orbit at the
Earth’s surface to complete without the apple’s hitting the ground? Neglect air resistance and the
rotation of the Earth; ignore mountains, ocean waves, buildings, etc.
a) 3.9 km/s
b) 7.9 km/s
c) 11.2 km/s
d) 15.8 km/s
e) 22.3 km/s
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## Document Summary

Fill in your name, student id number, and form number on the scantron and in the spaces above. All cell phones, text messaging devices, computers, and communication devices of any type must be turned off and stowed out of sight. You may use four 3" 5" (7. 5 cm 12. 5 cm) notecards (both sides). You may also use a calculator that cannot communicate with the outside world. You cannot share calculators, notecards, scratch paper, exam booklets, or scantrons. Exam responses must be based on your individual work only. You must mark the correct answer on the scantron to get credit for each problem. At the end of the exam, hand in your scantron and show your um id. 2 = v0x x = x0 + v0xt + axt2/2 vx = v0x + axt. Z v = r atan = dv/dt = r arad = v2/r = 2r va/c = va/b + vb/c.