AAPT Quiz
2000 Physics Olympiad Screening Test (Part 2)
Use the following graph to answer questions 1 and 2.
1. At what time would the car be moving with the greatest velocity?
0 seconds
2 seconds
4 seconds
6 seconds
8 seconds
2. At what time would the car be farthest from its original starting position?
0 seconds
2 seconds
4 seconds
6 seconds
8 seconds
3. Given 4 identical resistors of resistance
R
, which of the following circuits would have an equivalent resistance of
4/3 R
?
None of the above
4. An Olympic ice skater starts a slow spin on her ice skates. As she brings her arm and free leg closer to her axis of rotation, she spins faster. Which of the following statements must he true?
Angular momentum remains constant but angular kinetic energy increases.
Angular momentum increases but angular kinetic energy remains the same.
Both angular momentum and angular kinetic energy increase.
Both angular momentum and angular kinetic energy remain the same.
Any of the above might he true depending on the type of spin.
5. An object originally traveling at a velocity,
v
_{o}
, is accelerated to a velocity,
v
, in a time,
t
, by a constant force,
F
. What would be the mass of the object?
Use the following information to answer questions 6 and 7.
A frictionless air puck of mass
m
is placed on a plane surface inclined at an angle of 60
^{o}
with respect to the horizontal. A string of length
L
is attached to the puck at one end and the upper edge of the inclined plane at the other to constrain the movement of the puck.
6. What would be the magnitude of the normal force from the plane acting on the puck?
none of the above
7. If the puck was set into a back and forth pendulum motion as indicated by the dotted line, what would be the period of the motion?
none of the above
8. How much heat is lost by a lake with a mass of 1.0 x 10
^{10}
kg when it is cooled from a summer temperature of 25
^{o}
C to 5
^{o}
C in the winter. Assume the specific heat of water is 4180 J / kg C
^{o}
.
1.20 x 10
^{5}
Joules
4.78 x 10
^{7}
Joules
2.09 x 10
^{14}
Joules
8.36 x 10
^{14}
Joules
1.05 x 10
^{15}
Joules
9. If an ideal Carnot heat engine with an efficiency of 30% absorbs heat from a reservoir at 727
^{o}
C, what must be the exhaust temperature of the engine?
509
^{o}
C
427
^{o}
C
273
^{o}
C
218
^{o}
C
0
^{o}
C
10. An arrow is to be propelled by a simple bow. If the arrow were given a velocity
v
by a certain displacement
d
, what would be the arrow's velocity with a displacement of
3d
? Assume the magnitude of the force the bow exerts on the arrow is proportional to the arrow displacement.
3 v
6 v
9 v
12 v
27 v
11. Light with an angle of incidence of 57
^{o}
in air is completely polarized when it reflects off a sheet of plate glass. What is the index of refraction of the glass?
0.649
1.19
1.41
1.54
1.84
12. The circuit diagramed below is setup to measure the resistance
R
. The voltmeter has an internal resistance of 100 x 10
^{3}
ohms and the ammeter has an internal resistance of 0.10 ohms.
If the true value of
R
is 10 x 10
^{3}
ohms, what is the percent error in the calculated resistance found by dividing the reading on the voltmeter by the reading on the ammeter?
0.5%
1%
9%
27%
50%
13. A block is sliding frictionlessly up a plane inclined at an angle of 45
^{o}
to the horizontal.
If at a given time the block's velocity is +25 m/s in the upward direction what is the velocity of the block 4.0 seconds later?
+64.2 m/s
+53.3 m/s
+28.3 m/s
+7.1 m/s
-2.7 m/s
14. Three blocks (m
_{1}
, m
_{2}
and m
_{3}
) are slid at constant velocity across a rough surface as shown below.
The coefficient of kinetic friction between each block and the surface is µ. What would be the force of m
_{1}
on m
_{2}
?
F
F-(m
_{2}
- m
_{3}
)gµ
(m
_{2}
+ m
_{3}
)gµ
m
_{1}
gµ - (m
_{2}
+ m
_{3}
)gµ
(m
_{1}
+ m
_{2}
+ m
_{3}
)gµ
15. A wheel starts from rest and angularly accelerates with a constant angular acceleration. After a time
t
, the wheel completes its first revolution, about how long will it take to complete its second revolution?
0.4 t
1.0 t
1.4 t
1.7 t
2.0 t
16. If projectile is fired vertically upward from the surface of Mercury (g
_{Mercury}
= 3.75 m/s
^{2}
), what would be the required initial velocity if the projectile is to rise to a maximum height of 30 meters?
4.0 m/s
8.0 m/s
10.6 m/s
15.0 m/s
11.2 m/s
Questions 17 and 18 refer to the situation shown in the accompanying diagram.
Two 5 kg masses are attached to opposite ends of a long massless cord which passes tautly over a massless frictionless pulley. The upper mass is initially held at rest on a table 50 cm from the pulley. The coefficient of kinetic friction between this mass and the table is 0.20.
17. When the system is released, its resulting acceleration is closest to which of the following:
9.8 m/s
^{2}
7.8 m/s
^{2}
4.9 m/s
^{2}
3.9 m/s
^{2}
1.9 m/s
^{2}
18. When the hanging mass has fallen a distance of 30 cm, how much work has been done by the frictional force?
-147 J
-14.7 J
-9.8 J
-5.8 J
-2.9 J
19. A student makes a tone by blowing across one end of a tube 0.5 m long that is open at both ends. If the speed of sound is 342 m/s, what will be the frequency of the fundamental note produced?
171 Hz
342 Hz
684 Hz
1026 Hz
1368 Hz
20. What would be the equivalent capacitance of the circuit shown if each capacitor has a capacitance of C?
1/4 C
3/4 C
4/3 C
3 C
4 C
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