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Midterm I
Physics 8A, Section 1 (Fajans)
3/3/2010
You may use one side of one 8.5x11 sheet of notes.
No calculators, cell phones or other
electronics will be allowed; they must remain off and in your bags for the duration of the exam.
Please show your work.
We will give partial credit; you will not receive any credit if we
cannot determine how you came up with an answer.
If you continue your work onto a discontinuous page, please write “continued later” on the
earlier page; otherwise your later work may be overlooked.
Note that the four problems are not of equal difficulty, but are awarded equal points.
Do not
get stuck on a problem or part that you cannot do!
If you have any questions, please ask the proctors.
Tear off these first three sheets of paper; do not turn them in.
Possibly useful formulas:
2
2
1
0
0
at
t
v
x
x
+
+
=
at
v
v
+
=
0
ax
v
v
2
2
0
2
+
=
2
2
0
0
0
2
x
v
g
x
v
v
y
x
x
y
−
=
dt
dx
v
=
dt
dv
a
=
dt
dv
m
ma
F
=
=
2
r
mM
G
F
G
=
N
F
N
F
s
fr
k
fr
µ
≤
=
f
π
ω
2
=
r
v
=
2
2
r
r
v
a
=
=
2
2
mr
r
v
m
F
=
=
T
f
1
=
∫
∆
≈
=
∆
=
∆
=
t
F
dt
F
v
m
p
I
∑
=
i
i
i
v
m
p
dt
dp
F
ext
=
11
2 2
12
cm
ii
i
i
i
mx
x
mm
m
+
=
+
=
∑
∑
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2 2
12
cm
ii
i
i
i
my my
y
mm
my
m
+
=
+
=
∑
∑
∑
∑
=
i
i
i
i
i
cm
m
v
m
v
dt
dv
m
F
cm
i
i
ext
=
∑
1
U
mgh
=
2
1
2
U
kx
=
2
1
2
K
mv
=
EUK
=
+
F
kx
= −
cos
W
Fx
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