True-false questions are worth 2 points each, three-choice multiple
choice questions are worth 3 points each, five-choice multiple choice
questions are worth 6 points each. The maximum possible score is 113.
The exam period was 90 minutes; the average score was 74.1; the median
score was 74. Click here to see page1
page2 of the formula sheet that came
with the exam.
otherwise, you should assume that the acceleration of gravity near the
surface of the earth is 9.8 m/s2 downward and ignore any
effects due to air resistance.
(a) 0.2 m
(b) 0.4 m
(c) 0.6 m
(d) 0.8 m
(e) 1.0 m
(a) 3.5 °C
(b) 6.6 °C
(c) 15.4 °C
(d) 24.8 °C
(e) 34.5 °C
When a block of iron of mass 39.30 kg is suspended from a spring with
spring constant 500 N/m, the length of the spring is 4.7 m.
A tub of water is placed so that the iron is completely submerged in the
water. What is the length of the spring now? (The drawing is not to
Density of iron: ρiron = 7860 kg/m3
Density of water: ρwater = 1000 kg/m3
(a) 3.2 m
(b) 3.7 m
(c) 4.1 m
(d) 4.6 m
(e) 4.7 m
(a) Vsubmerged / Vtotal = 0.48
(b) Vsubmerged / Vtotal = 0.58
(c) Vsubmerged / Vtotal = 0.65
A 2 kg pendulum is placed on an elevator next to a 2 kg mass hung
vertically by a spring with spring constant 200 N/m. When the elevator
is at rest, the spring oscillates twice as fast as the pendulum:
0.5 Tpendulum = Tmass on spring.
What is the length of the pendulum?
(a) 8.9 cm
(b) 15.1 cm
(c) 23.2 cm
(d) 39.2 cm
(e) 42.5 cm
(a) 0.98 m
(b) 1.03 m
(c) 1.10 m
(a) 2.1 m/s
(b) 2.2 m/s
(c) 2.7 m/s
(d) 3.1 m/s
(e) 3.8 m/s
Compare 0.5 Tpendulum, half the period of the
pendulum, to Tmass on spring, the frequency of the
mass on the spring when the elevator is accelerating down.
(a) 0.5 Tpendulum < Tmass on spring
(b) 0.5 Tpendulum = Tmass on spring
(c) 0.5 Tpendulum > Tmass on spring
A block of mass 2.0 kg resting on a horizontal frictionless surface is
attached to a spring with spring constant k. A force F is
applied to the block in the +x direction compressing the spring.
After the spring compresses 0.1 m, at time t = 0, the force is
removed and the block on the spring starts to oscillate with angular
frequency ω = 11/s.
What is the magnitude of the spring constant k?
(a) 207 N/m
(b) 220 N/m
(c) 242 N/m
(a) when the spring is at its relaxed length
(b) when the spring is at its minimum length
(c) when the spring's length is half way between its relaxed length and its minimum length
(a) Δx = 11 cos(11t)
(b) Δx = 0.1 sin (11t)
(c) Δx = 0.1 cos(0.1t)
(d) Δx = 0.1 cos(11t)
(e) Δx = 11 sin(11t)
A hydraulic lift is filled with oil (ρ = 600
kg/m3). The cross section area of the large piston in the
cylinder on the right is A2 = 170 cm2. The
area of the small piston in the cylinder on the left is
A1 = 0.5 cm2.
Force F1 = 50 N needs to be applied to the small
piston to lift weight W2 on the right so the bottom of
both pistons is at the same height. What is the magnitude of the weight
(a) W2 = 1700 N
(b) W2 = 17000 N
(c) W2 = 170000 N
(a) 5.5 cm
(b) 7.5 cm
(c) 10.2 cm
Water flows through the pipe as shown below. Segment 1 has a cross
sectional area A1 = 20 cm2. Segment 2 has
the same cross section but its center (indicated by the dashed line) is
h = 0.11 m lower. Finally, the water flows into a narrower
Segment 3 with a cross sectional area A3. The center of pipe
in Segments 2 and 3 is at the same height, as indicated by the dashed
line. The velocity of water in Segment 1 is v1 = 0.3
m/s, and in Segment 3 it is v3 = 3 m/s. The density
of water is 1000 kg/m3. Note: the drawing not to scale.
What is the cross section A3 of the narrow pipe?
(a) A3 = 2.00 cm2
(b) A3 = 2.75 cm2
(c) A3 = 3.00 cm2
Which statement is correct about pressure P1 and
(a) P1 < P2
(b) P1 = P2
(c) P1 > P2
(a) | ΔP12 | = 0
(b) | ΔP12 | = 245 Pa
(c) | ΔP12 | = 490 Pa
(d) | ΔP12 | = 980 Pa
(e) | ΔP12 | = 1078 Pa
(a) P2 < P3
(b) P2 = P3
(c) P2 > P3
(a) | ΔP23 | = 0
(b) | ΔP23 | = 1230 Pa
(c) | ΔP23 | = 2450 Pa
(d) | ΔP23 | = 4455 Pa
(e) | ΔP23 | = 6980 Pa
One end of a string with length L = 2 m and mass density
μ is attached to a weight with mass 4.3 kg. The other end of
the string is fixed to a transducer that vibrates at a frequency of 212
Hz. A standing wave results, with the wavelength as shown in the
What is the mass density μ of the string?
(a) 2.27 g/m
(b) 3.75 g/m
(c) 5.56 g/m
(d) 8.27 g/m
(e) 12.1 g/m
(a) It would quadruple.
(b) It would double.
(c) It would not change.
(d) It would decrease by a factor of two.
(e) It would decrease by a factor of four.
You are standing between two speakers. The speaker on the left is
emitting a tone with frequency 306 Hz. The speaker on the right is
emitting a tone with frequency 295 Hz. Irritated by the beats, you try
to eliminate them by Doppler shifting the frequencies so you hear them
as the same. The speed of sound is 343 m/s.
In which direction would you have to run to eliminate the beats?
(a) left, towards the speaker with 306 Hz
(b) right, towards the speaker with 295 Hz
(a) 6.3 m/s
(b) 10.2 m/s
(c) 14.8 m/s
(d) 19.4 m/s
(e) 26.6 m/s
(a) 53.59 Hz
(b) 107.2 Hz
(c) 214.4 Hz
(a) 2.99990550 cm
(b) 2.99995275 cm
(c) 3 cm
(d) 3.00004725 cm
(e) 3.00009450 cm
αCu = 1.60 × 10-7
αAl = 2.25 × 10-7
(a) 6266 °C
(b) 21715 °C
(c) 21740 °C
(d) 41249 °C
(e) 41274 °C