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Physics 105, sections 1 and 2
Final Exam
Please write your CID_____
Colton 23669
4 hour time limit.
No notes. No books. No calculators.
100 points total, all problems equal weight.
C
onstants:
g
= 9.8 m/s
2
→
but you may use 10 m/
s
2
in nearly all cases
G
= 6.67
×
10
11
N
⋅
m
2
/kg
2
k
B
= 1.381
×
10
23
J/K
N
A
= 6.022
×
10
23
R
=
k
B
∙
N
A
=
8.314 J/mol∙K
σ
= 5.67
×
10
8
W/m
2
∙K
4
Mass of Sun = 1.991
×
10
30
kg
Mass of Earth = 5.98
×
10
24
kg
Radius of Earth = 6.38
×
10
6
m
Radius of Earth’s orbit = 1.496
×
10
11
m
Density of water: 1000 kg/m
3
Density of air: 1.29 kg/m
3
Young’s modulus of steel: 20
×
10
10
N/m
2
Linear exp. coeff. of copper: 17
×
10
6
/
°
C
Linear exp. coeff. of steel: 11
×
10
6
/
°
C
Specific heat of water: 4186 J/kg
⋅°
C
Specific heat of ice: 2090 J/kg
⋅°
C
Specific heat of steam: 2010 J/kg
⋅°
C
Specific heat of aluminum: 900 J/kg
⋅°
C
Latent heat of melting (water): 33
×
10
5
J/kg
Latent heat of boiling (water): 2.26
×
10
6
J/kg
Thermal conduct. of aluminum: 238 J/s
⋅
m
⋅°
C
sin(30
°
) = 0.5
cos(30
°
)
≈
0.866
tan(30
°
)
≈
0.577
π
≈
3.14
Conversion factors
1 inch = 2.54 cm
1 m
3
= 1000 L
1 atm = 1.013
×
10
5
Pa = 14.7 psi
32
5
9
+
=
C
F
T
T
273.15
K
C
T
T
=
+
Other equations
2
4
2
b
b
ac
x
a
 ±

=
Surface area of sphere
= 4
π
r
2
Volume of sphere = (4/3)
π
r
3
2
i
f
ave
v
v
v
+
=
o
v
v
at
=
+
2
1
2
o
o
x
x
v t
at
=
+
+
2
2
2
f
o
v
v
a x
=
+
∆
w
=
mg
,
PE
g
=
mgy
F
= 
kx
,
PE
s
= ½
kx
2
f
=
μ
Κ
N
(or
f
≤
S
N
)
P
=
F
//
∙v
=
Fv
cos
θ
F
∆
t
=
∆
p
Elastic: (
v
1

v
2
)
bef
= (
v
2

v
1
)
after
arc length:
s
=
r
v
=
r
ϖ
a
tan
=
r
α
a
c
=
v
2
/
r
2
g
GMm
F
r
=
,
r
GMm
PE
g

=
I
pt mass
= mR
2
I
sphere
= (2/5) mR
2
I
hoop
= mR
2
I
disk
= (1/2) mR
2
I
rod
(center) = (1/12) mL
2
I
rod
(end) = (1/3) mL
2
sin
L
r p
rp
rp
⊥
⊥
=
=
=
stress =
F
/
A
;
strain =
∆
L
/
L
Y
= stress/strain
gh
P
P
ρ
+
=
0
VFR = A
1
v
1
=
A
2
v
2
2
2
2
2
1
2
1
1
2
1
2
1
gy
v
P
gy
v
P
+
+
=
+
+
T
L
L
∆
=
∆
0
0
;
3
V
V T
β
∆
=
∆
=
T
k
mv
KE
B
ave
ave
2
3
2
1
2
=
=
;
Q
mc T Q
mL
=
∆
=
L
T
T
kA
T
Q
1
2

=
∆
∆
4
P
e AT
=
W
on gas
 = area under PV curve
=
P
∆
V
(constant pressure)
3
3
2
2
B
U
Nk T
nRT
=
=
(monatomic
ideal gas)
Q
h
=

W
net

+
Q
c
h
c
added
net
Q
Q
Q
W
e

=
=
1
max
1
c
h
T
e
T
= 
m
k
=
,
k
m
T
π
2
=
L
g
=
,
g
L
T
2
=
T
v
=
,
=
m
/
L
Y
v
=
,
B
v
=
v
air
= 343 m/s at 20
°
C
=
0
log
10
I
I
I
0
= 10
12
W/m
2
0
'
S
v v
f
f
v v
±
=
±
,...
3
,
2
,
1
2
=
=
n
L
v
n
f
n
,...
5
,
3
,
1
4
=
=
n
L
v
n
f
n
Write your work on the exam pages if you wish.
Of course also
record your final answers on the bubble sheet
. You
will likely not get this exam booklet back, but please put your CID at the top of this page just in case.
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 Winter '09
 Physics, Force, Mass, Great Salt Lake, b. c. d., Wnet Qadded

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