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

43 views27 pages
Published on 29 Apr 2019
School
U of M
Department
Physics
Course
PHYSICS 140
Professor
Physics
140,
Winter
2014
Final
Exam
April
25,
2014
Form
1
Your
name:
50L
uTIO
S
Last
First
M/i’
A4.
Your
UMID number:
________________________________________
Fill
in
your
name,
student
ID
number,
and
form
number
on
the
scantron
and
in
the
spaces
above.
All cell
phones,
text
massaging
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’x5’
(7.5
cm
x
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
on
the
scantron
to
get
credit
for
each
problem.
The
exam
is
125
minutes
long.
There
are
26
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
xo
+
v0
j
+
at
2
!2
=
V3
+
at
2
Vx
=
1
”Ox
+
2a(x
xo)
=
6o
+
w
0
,t
+
a,t
2
/2
CO
=
WOz
+
a,t
=
+
2a—(O
6o)
v
=
Ro
=
dv/dt
=
Rc
77
=
v/R
=
VJC
=
AIB
+
VB/C
(continued
on
the next
page)
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 27 pages and 3 million more documents.

Table
9.2
Moments
of
Inertia
of
Various
Bodies
(a)
Slender
rod,
axis
hroiieli
center
(b)
Slender
rod.
LLXIS
ii
itiiih
OTIC
end
I
;ML
2
(c)
ectangular
plate.
a\
i
tluoiili
eefltet
I
=
±
))
(d)
Thin
reetanirular
plate.
axis
along
edge
1
=
-
Ma
(I
(e)
Hollov
cx
under
I
=
-w(R
+
/
\
(f)
Solid
cylinder
I
=
MR
2
(g)
Thin-walled
hollow
cylinder
I
=
MR
2
/
I
“S-
R
(h)
Solid
sphere
(I)
Thin-walled
holloxv
sphere
1=
MR
2
-I?
(continued
from
the
previous
page)
2
I=rn[r
1
+m,r2
+••
=Irdm
1=1CM+Md
Fk
L1kN
F,=-kx
Fg
=
Gm
1
m
2
/r
2
Vorb
=
(GM/r)”
2
Vesc
=
(2GM/r)U
2
a
Fr/A
E=
Al/i
0
a
Y’
Pd
=
PO
pgd
Fb
=
PfluidVdisplacedg
A
1v1
=A
2v2
P1
+pgyl
+
½pi
2
=P2
+pgy2
+
½pV2
2
x(t)
=
Acos(cot
+
)
ar
(OX
Co
=
(k/rn)
1/2
or
(gIL)”
2
or
(rngd/Iu
0
)”
2
2rf=
21
7/T
k
=
2ic/2
=
g=9.8m1s
2
G
6.67
x
10h1
N•m
2
/kg
2
REarth
6.38
X
106
MEth
=
5.97
x
1024
kg
Pawn
=
1
atm
=
1.013
x
Pa
Pwater
=
1000
kg/rn
3
1
=
2
MR
2
R
r
w=
f
.dg
p
=
my
I
1
/
f
]dt=PaverIt
rcM
(m
1
ri
+
rn
2
r
2
+
.
.
.
)/(mi
+
rn2
+
r=rxF
L
=
r
x
p
=
1o
F
=
dPE/dx
TKE
=
mv
2
/2
RKE
=
1w2/2
GFE
=
Gm
1
rn2/r
EPE
=
2/2
TKE
1
+
RKEI
+
GPE
+
EPE
+
=
TKEf
+
RKEf
+
GPEf
+
EPEf
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 27 pages and 3 million more documents.

I.
Which
of
the
following statements
is
false?
a)
Simple
harmonic
oscillations
can
only
exist around
a
stable
equilibrium
point
b)
A
linear
restoring
force
is
required
for simple
harmonic oscillations
to
occur
c)
The
period
of
simple
harmonic
oscillations
is
determined
by the
properties
of
the
system
and
does
not
depend
on the
initial
conditions
For
a
mass
on
a
spring,
the
frequency
of
the
kinetic
or
potential
energy oscillations
is
equal
to
the
frequency
of
the
position oscillations
e)
Total
mechanical
energy
of
a
simple harmonic
oscillator
is
proportional
to
the
oscillation
amplitude
squared
LIA’
&
(b)
F
-
k
x,
4eii
4Ap’e
a)o
C)
4
T
=
v”
&
t
dJ
(d)
-
-1?’
e
ave:
ç
A
s
()
-
-
(wt)
,
s2(e
[1±ccCae)]
=
-()
=-
2
x(+)
KE
w
2
A
___
2r
,42.
FE
=
k
[AcsCwt)]
-
kA
so,
kM
-
1ci
ut€
(azt)
•1
Ce)
=
4
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 27 pages and 3 million more documents.

## Document Summary

Fill in your name, student id number, and form number on the scantron and in the spaces above. All cell phones, text massaging devices, computers, and communication devices of any type must be turned off and stowed out of sight. You may use four 3"x5" (7. 5 cm x 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. Constants and equations you may find useful: x xo + v0j + at2!2. Vjc = aib + vb/c (continued on the next page) Table 9. 2 moments of inertia of various bodies (a) slender rod, axis hroiieli center (b) slender rod.