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 111.
The exam period was 90 minutes; the average score was 73.5; the median
score was 75. Click here to see page1
page2 of the formula sheet that came
with the exam.
Unless told 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) 24 kg
(b) 66 kg
(c) 110 kg
(d) 280 kg
(e) 320 kg
(a) 7.35 × 103 pascals
(b) 7.50 × 104 pascals
(c) 1.07 × 105 pascals
A glass cylinder (closed on the bottom) is filled to a depth of 0.10
m with water. The cross section of the cylinder is 0.01 m2.
The glass cylinder, filled with the water, gives a scale reading of 2
kg. A uniform ball is put into the water, and it floats. The scale
reading of the glass + water + ball is now 2.1 kg. The density of water
is 1000 kg/m3.
What is the pressure difference between the top and bottom of the
water in the glass before the ball is inserted?
(a) 480 Nm-2
(b) 980 Nm-2
(c) 1860 Nm-2
(a) 120 Nm-2
(b) 420 Nm-2
(c) 660 Nm-2
(d) 1078 Nm-2
(e) 1860 Nm-2
(a) 120 kg/m3
(b) 329 kg/m3
(c) 660 kg/m3
(d) 1078 kg/m3
(e) 1860 kg/m3
(a) 0.06 kg
(b) 0.15 kg
(c) 0.18 kg
A 5 kg block is hanging from a spring. The spring is supported
rigidly from above. The equilibrium position of the block is where the
block hangs when it is not oscillating. The block is made to oscillate
such that the displacement of the block from its equilibrium position is
0.1 m. The speed of the block is measured, and it is determined that the
speed of the block when it passes through the equilibrium position is 1
What is the spring constant?
(a) 500 N/m
(b) 750 N/m
(c) 1500 N/m
(a) 0.34 s
(b) 0.43 s
(c) 0.63 s
In an experiment in lab you worked with an apparatus shown in the
figure. A string is attached at one end to a mechanical vibrating
transducer. The other end of the string is hung over a pulley, and a
weight of 0.5 kg is attached to this end of the string. The vibrating
transducer causes the string to vibrate. The wavelength of the lowest
frequency of vibration (the fundamental mode) is 6 m.
What is the length of the string between the transducer and the
(a) 3 m
(b) 6 m
(c) 12 m
(a) 1.8 × 10-5 kg/m
(b) 1.2 × 10-4 kg/m
(c) 7.4 × 10-4 kg/m
(d) 1.4 × 10-3 kg/m
(e) 2.4 × 10-3 kg/m
Illustrated below is an ejector of liquid with a piston. A force F
is applied to the piston and the liquid comes out of a small nozzle on
the left with a high speed. The ejector is in air at ambient
atmospheric pressure, which also acts on the piston. The device is
horizontal. The area of the small hole at the tip of the nozzle is
10-6 m2 and the area of the piston is
10-2 m2. The liquid is assumed to be
incompressible and its density is 700 kg/m3.
What is the force F you must apply on the piston to eject the liquid
at a speed of 12 m/s?
(a) 504 N
(b) 605 N
(c) 706 N
(d) 807 N
(e) 908 N
(a) 6.0 m/s
(b) 8.5 m/s
(c) 10 m/s
(d) 12 m/s
(e) 15 m/s
A massless spring with spring constant k = 920 N/m is attached
to a wall as shown. A block of mass m = 12 kg is sliding toward
the spring across a frictionless floor with a speed of 2 m/s.
After touching the spring the mass decelerates. What is the maximum
displacement of the spring's right end?
(a) 7 cm
(b) 12 cm
(c) 18 cm
(d) 21 cm
(e) 23 cm
(a) 0.971 s later
(b) 0.115 s later
(c) 0.132 s later
(d) 0.142 s later
(e) 0.179 s later
(a) becomes shorter.
(b) becomes longer.
(c) the same.
A pendulum is attached at the top of a frictionless slope that makes
angle of 30° with the horizontal surface as illustrated below.
Assume that the mass does not fall off the sides of the slope.
If the angle of the slope is 90° (that is, when the pendulum is
hanging vertically), its period is τ s. What is the period of
the pendulum on the slope as illustrated in the figure when the angle is
(a) 2τ s
(b) 21/2τ s
(c) τ s
(e) τ/2 s
(a) The period does not change.
(b) The period becomes longer.
(c) The period becomes shorter.
(a) -3.0 m/s
(b) -1.4 m/s
(c) 0 m/s
(d) +1.4 m/s
(e) +3.0 m/s
(a) 0.4 m/s
(b) 0.8 m/s
(c) 2.5 m/s
(d) 3.1 m/s
(e) 5.0 m/s
(a) 100 Hz
(b) 150 Hz
(c) 200 Hz
(a) the width of your finger.
(b) the width of your head.
(c) your height.
(a) 2 dB
(b) 4 dB
(c) 6 dB
(d) 8 dB
(e) 10 dB
(a) 22 Hz
(b) 46 Hz
(c) 79 Hz
(d) 101 Hz
(e) 138 Hz