PHYSICS 140 Study Guide  Final Guide: Switch, Scantron Corporation, The The
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Published on 29 Apr 2019
Department
Physics
Course
PHYSICS 140
Professor
Physics
140,
Winter
2013
FINAL
EXAM
April
26,
2013
Physics
Department,
University
of
Michigan
Please
print
your
name:
_________
MEL
FORM
1
Your
DISCUSSION
SECTION
or
INSTRUCTOR:
50L
UT!
0
5
INSTRUCTIONS
AND
INFORMATION
1.
Fill
in
YOUR
NAME,
SECTION
NUMBER
and
EXAM
FORM
NUMBER
on
the scantron.
2.
RECORD
YOUR
ANSWERS
ON
THE
SCANTRON
USING
A
#2
PENCIL.
This
is
a
120minute,
closed
book
exam.
You may
use
four
3”
x
5”
cards
on
which
you
have
your
favorite
equations.
You
also
may use
a
calculator
but
please
do
not
share
calculators.
3.
There
are
altogether
25
multiple choice questions.
All
questions
are
of
equal
value.
Equations
that
you
may
find
useful:
sf=s+vot+½at
O
1
=9
0
+wt+½at
2
vf=vo+at
wf=wO+c(.t
arad=v/r=ro)
v1
=rU),
a=ra
F
=
ma
=
dp/dt
=
r
x
F
=
dL/dt=Ia
p=mv
L=rxp=Iw
W=F.s
Fk=IkN
Rod,
axis
through
one end
I
=1/3ML
2
Rod,
axis
through
center:
1
=
l/12ML
2
Solid
sphere:
I
=
2/5
MR
2
Hollow
sphere:
I
=
2/3
MR
2
Solid
cylinder:
I
=
½
MR
2
Hollow
cylinder
I
=
½M(R
12
+R
22
)
Hoop:
1=
MR
2
U
=
GM
1
M
2
/r
Vesc
=
(2GMIR)”
2
ME
=
5.97x10
24kg
rn
1
—m
2
2m,
V
11
=
+

v,
11
,
x(t)
=
A
cos
(wt
+
p)
a(t)
=
—o
2x
m
1
+in
2
in
1
+m,
2m
1
m,
—
v
21
v1
+

v,
11
+
m
2
+
F
=
—dU(x)Idx
F
=GM
1
M
2
/r
2
W=AK
AK
+
AU
=
Uspring
=
½
2
G
=
6.67x10
11
Nrn
2
/kg
2
I
=
1(
+
Md
2
Krot
½
1(02
Vorb
=
(GM/r)’
2
RE
=
6.38x10
6
m
Simple
pendulum:
co
=
(g/L)”
2
Young’s modulus
Y
=
(F
1
L
0
)I(AAL)
p
=
Po
+
pgh
1
atm
=
1.013x10
5
Pa
=
1.013
bar
=
14.7
lb/in
2
y(x,t)
=
Acos(kx
cot)
k
=
27t/2
P(x,t)
=
iiv
w
2
A
2
sin
2
(kx

cot)
Paver
jivwA
2
/2
Sound
intensity
level
in
dB:
13=10
logio(TJIo)
Physical
pendulum:
co
=
(mgd/I
0
)”
2
Pwater
=
1000
kg/rn
3
p
=
1.2
kg/m
3
p
+
pgh
+
pv
2
/2
=
const.
1
mmHg=
1
torr=
133.3
Pa
v=(F/p.)”
2
Beat
frequency
fb
=
fif
2
fE=(v
±vL)/(v
vs)fs
Volume
of
sphere
V
=
(413)rcR
3
Table
9.2
Moments
of
Inertia
of
Various
Bodies
(a)
Slender
rod,
xis
through
center
(b)
Slender
rod.
axis
throiiit
h
one
end
(c)
Rectangular
plate.
ax
is
tliiOIOth
center
=
12
M(n
2
+
,2)
(d)
Thin
rectangu
ar
plate.
axis along edge
1
Ma
(i
(e)
I
lollow
cylinder
1
,
M(I?
+
R,)
(g)
Thin—si
ailed
hollow
cylinder
(h)
Solid
sphere
(I)
Thin—walled
hollosv
sphere
I
=
MR
fI?
I
=
I

(0
Solid
cylinder
=
MI?
2
I
=
i
=
t/1R
2
1?
R
202
Puarsori
20jciiiorr.
Inc
Problem
1:
Two
blocks,
with
masses
10
kg
and
5
kg,
are
connected
by
light strings and
attached
to
the
ceiling
of
an
elevator
as
shown
in
ligure.
The
elevator
accelerates
upward
with
4
rn/s
2
.
What
is
the
tension
in
the
string
attached
to
the
ceiling of
the
elevator?
A.
69N
S4ô
B.
118N
C.
138N
We
ccider
D.
187
N
s
r
o.o
207N
(7n
4
))
kf
o
e
T
7
fwo
ThaSS
)i
T—
1
—T’
74oS
:
_.
uv
rn/s
2
T=l+L)Cat)
I
c)
O>f
t
5:
ttt