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Physics 124 - Analytical Physics
FINAL EXAM
Tuesday, May. 11, 2010
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The exam will last from 4:00 - 7:00 P.M. Use a #2 pencil to make entries
on the answer sheet. Enter ID information items 2-5, now, on the
answer sheet before the exam starts...
In the section labeled NAME (Last, First, MI.) enter your last name, then
fill in the empty circle for a blank, then enter your first name, another
blank, and finally your middle initial.
Under STUDENT # enter your 9-digit RUID Number.
Enter 124 under COURSE; you may ignore the section number.
Under CODE enter the exam code given above.
During the exam, you may use pencils, a calculator, and one 8.5 x 11 inch
sheet (both sides) with formulas and notes.
There are 30 multiple-choice questions on the exam. For each question,
mark only one answer on the answer sheet, There is no deduction of points
for an incorrect answer, so even if you cannot work out the answer to a
question, you should make an educated guess. At the end of the exam,
hand in the answer sheet and this SIGNED cover page. Retain the
exam questions attached for future reference and study.
‘When you are asked to open the exam, make sure that your copy contains
all 30 questions. Raise your hand if this is not the case, and a proctor will
help you. Also raise your hand during the exam if you have a question.
Please have your student ID ready to show to the proctor during the exam.
Possibly useful information: at the earth’s surface g = 9.8 m/s”, Usoundinair
m4 340 m/s, pair ¥ 1.2 kg/m, Isotidaisk = (1/2)mr*, and Ip = 1x10-? W/m.
1. A-solid disk rolls down a 45° slope, starting from rest. What is its trans-
lational mee when it has gone 5 m along the slope?
wah = mes STs bw $f mrt fio’ =
3 ah
= omer" ore \Agh _ (424805
4 S SG
a) <2m/s “ w
b) 2-4m/s 6.8 =
c) 4-6 m/s
Cay" 68s)
e) >8 m/s
2. An object is stationary, in equilibrium, in a uniform gravitational field.
Which of the following is true?
a) The object must_be symmetric — it can be a circle, but not a wrench,
hy" It is possible for there to be three external forces acting on the object.
c) Each force on the object must be balanced by a single equal force in
the opposite direction.
d) All forces must point at the center of mass so that there is no net
torque on the object.
e) The sum of the torques is zero because the sum of the forces is zero.
(They are not independent conditions.)
3. A 2m wire of negligible mass consists of two 1-m segments, one of steel
(Young’s modulus = 2 x 10!! Pa) and one of brass (Young’s modulus =
1x 10" Pa). The cross sectional area of the brass segment is four times
larger than that of the steel segment. When a weight W is hung from
the ceiling by this wire, the steel segment stretches by 1 mm. Find the
elongation of the brass segment.
a) 0.25 mm y = TA
om i AG Y _ 4642
ce) Imm ft, — =
3 tam NY = Fz, Yo an!
“8p vA
2 A t= AL Ab,
10.
11.
12.
13.
Your friend speaks to you with an intensity of 65 dB, measured 1 m from
your friend. You can hear sounds as quiet as 5 dB. How far away can you
be and still hear your friend? Assume a spherical wave.
a) 6m
b) 60m 1
50/10
c} 120m fam =10 7, = 1000» = 1000
d
e) 3600 m
While you are standing still, a police car with a 400 Hz siren passes you,
going 40 m/s. What is the magnitude of the change in the frequency of the
siren that you hear from when the police car is approaching to when it is
moving away from you? The {peed of sound in pe is 344 m/s.
CED f-p2e they abide, bel
ie i= fo aay aa mM; TV, o Spy ~
Sosane | AE 400s | 2 2A .| = Gh Bue
e) 47 Hz \ (“s fey.
The lowest frequency a person can hear is about 20 Hz. How long should
an organ pipe, open at both ends, be so that it produces a 20 Hz sound as
its fundamental frequency? Use v = 344 m/s.
v vw
a) 344m = Led ~2.-
b) 172m 7 Te 5 A 2b
Ce) 88m) - ©. B44 _ 2.4
ad) 4.3m 2¢ D im
e) 215m
A piano tuner stretches a steel piano wire with a tension of 765 N. The steel
wire has a length of 1.5 m and a mass of 0.01 kg. What is the frequency of
the string’s fundamental mode of vibration (first harmonic)?
a) 37 Hz a = Odi ka,
wt avez \E p
pr Lom 27
c) 236 Hz
d) 314Hz f.% = Vix x
2) 578 Hz A 24
14. Two adjacent organ pipes, open at one end and closed at the other, are
played at the same time, One is 3.3 m long and the other 3.4 m long. The
speed of sound in air is 344 m/s. What is the beat frequency between the
fundamental frequencies of the two pipes?
b) 1.5 Hz voy 1. 1
c) 3.1 He Ii Af =0.25v LL =0.25x344m/sx Jam 34m =0.77 Hz
a) 51 Hz 1 . ,
e) 100 Hz
15. ‘The dimensions of thermal conductivity # are:
a i mK
b) W/(mK
c) W/(m?K)
d) Jm/K
e) Wm/K
16. A cube of aluminum, with linear coefficient of thermal expansion a =
2.5 x 10-5 K-?, is heated so its temperature is increased by 40 K. By what
fraction does its volume expand?
AN = BLA) = 25x10 3440 =0.003
b) 10-8
ce) (1/3) x 1073
d) 10-9
e) Not enough information is given to solve the problem.
17. One spring day in NJ the numerical value of the temperature in Fahrenheit
was 50 more than the numerical value of the temperature in Celsius, What
was the temperature in Fahrenheit that day? Choose the closest answer
given below. =
2 F\=
a) 40°F Te) = iGs 32 a Tr) ex
b) 50°F < ~42e
c) 60°F = fy- \ S y%&
GEIeE) y- So =(¥- 32) 3
e) 80°F
18.
19.
20.
21.
How much energy is needed to convert 1 kg of ice at 0°C into 1 kg of water
at 20°C? It might help to know that the latent heat of fusion of water is
334000 J/kg and the specific heat of water is 4190 J/(kg-K).
Q=mbeweat =
b) 334 kJ 3
c) 250 kJ = [%33hxto® + (*4,2 *1D% 20 =
d) 84kd s
e) 4kJ = ANB ID
What is the net heat emitted radiatively by a person of body temperar
ture 37°C on a 25°C day? Assume the person has surface area 2 m? and
emissivity 0.5. It might help to know the Stefan-Boltzmann constant is
o = 5.67 x 10-8 W/(m?-K4).
a) 0.09 W Qe eraearG (4-1!) =
b)_ 0.11 W 3 4 3“\ 771W
) 77 W. =pe , “> { Blo - 24 =
a) oe W =o ¥2¥571H10% ( 2
e) 525 W
What is the volume of 2.5 moles of an ideal gas at a pressure of 50 kPa
and a temperature of 20°C?
a) 0.008 m3 nRT 2,5 %B.3 ¥ 293 %
er = ARYL ee tee Pe xO.
b) 0.12 m3 N P Bx tod (2m
ec) 8m?
d) 120 m3
e) 305000 m$
Consider two perfectly rigid containers. The first container holds n moles
of hydrogen (Hz), while the second container has the same number of moles
of neon (Ne). If it takes 100 J of heat to increase the temperature of the
hydrogen by 3K, by how many degrees will the same amount of heat raise
the temperature of the neon?
a) 1K
b) 2K | ch 5
c) 3K Q=nChar = nC’ ar™ AT’ = eur Ar 53K =5K
d) 4K