PHYSICS 2306 TEST #1
14 February 2003 – 2:30 PM in McBryde 113
Lecture Section 8:00 – 8:50 M,W
3”x5” Note Card and Calculator Allowed
90 Minutes Allowed
SOLUTIONS
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____________________
________________________
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(Student I.D.)
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Further, I pledge to refrain
from communicating any information about this test to anyone until after the results of this test are
returned.
Please fill in the three entries specified above.
Please record your answers to problems #1 through #20 on
the opscan answer sheet.
Please remember to darken on the opscan sheet the entries corresponding to
your student I.D.
Do not
put your name on the opscan
sheet unless you do not mind your I.D. and name
being associated with each other.
Please return the question sheets in a stapled packet to the appropriate stack on the front table; and return
the opscan answer sheet to the other appropriate stack on the front table.
No credit will be given if any
question or answer sheets are missing from your exam.
Constants and Conversion Factors:
charge of electron(magnitude) or proton:
e
= 1
.
6 x 10

19
C
Coulomb’s law constant:
k
e
= 1/4
πε
o
= 8.99 x 10
9
(N
⋅
m
2
/C
2
)
Permittivity of free space:
ε
o
= 8
.
854 x 10

12
(C
2
/N
⋅
m
2
)
Use as the speed of sound in air:
v
= 340 m/s
Minimum detectable sound intensity
I
o
= 10
12
(W/m
2
)
For
ε
<<
1 and
±
, and b any
±
number
(1 +
ε
)
b
≈
1 + b
⋅ε
+ (1/2)
⋅
[b
⋅
(b1)]
ε
2
+ …
sin
α
+ sin
β
= 2
⋅
sin[(
α
+
β
)/2]
⋅
cos[(
α
−
β
)/2]
cos
α
+ cos
β
= 2
⋅
cos[(
α
+
β
)/2]
⋅
cos[(
α
−
β
)/2]
sin(
α+β
) = sin(
α
)
⋅
cos(
β
) + cos(
α
)
⋅
sin(
β
)
cos(
α+β
) = cos(
α
)
⋅
cos(
β
)
−
sin(
α
)
⋅
sin(
β
)
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View Full Document1.
Two sinusoidal transverse traveling waves are moving in opposite directions along the xaxis.
They
have the same wavelength and frequency, and each
has a maximum amplitude of A.
The condition on
each of the waves is that at x = 0 when t = 0, the disturbance of each is +A.
The combined
disturbance for both traveling waves at x = 0 when t = T/4, where T is the period of each traveling
wave, is:
Since each piece of string describes simple harmonic motion, if they are fully up at t = 0, then at T/4
they are both going through equilibrium.
Therefore, 0 + 0 = 0.
(1)
2A
(2)
A
(3)
0
(4)
+A/2
(5)
+A
(6)
+2A
2.
Two identical triangularshaped wave pulses (isosceles triangles) approach each other from opposite
directions.
They each have the same speed relative to the ground, and their individual widths are 0
.
4
m each (base of the triangle).
After 3 seconds the net disturbance is shown in the bottom picture[see
below].
The speed of each pulse is about:
Since the two pulses move at the same speed, their peaks will overlap when each has moved 1 meter.
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 Fall '06
 YKim
 Physics, Electric charge, police car, Standing wave, Student I.D.

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