AAPT Quiz
PhysicsBowl 2023 (Part 2)
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26. Atoms in a solid are not stationary. They vibrate about their equilibrium positions. Typically, the frequency of vibration is about 2.0 X 10
12
Hz, and the amplitude is about 1.1 X 10
-11
m. For a typical atom, what is its maximum speed?
a. 108 m/s
b. 10.8 m/s
c. 128 m/s
d. 12.8 m/s
e. 138 m/s
27. A pendulum has a length of 2.00 m and has a mass attached to its end. The mass is pulled back 60.0º from the vertical before being released and allowed to swing downward. If the string breaks under a tension of more than 20 N, what is the maximum amount of mass that can be attached to string to allow the mass to swing without breaking the string?
a. 0.8 kg
b. 1.0 kg
c. 1.2 kg
d. 1.4 kg
e. 1.6 kg
28. On November 16, 2022, the Artemis 1 rocket lifted off from Launch Pad 39 at Cape Canaveral, FL for its trip to the moon. To lift off, the engines supplied 8.8 million pounds (4.0 x 10
7
N) of thrust. Which of the following does NOT express this thrust force?
a. 4.0 x 10
10
mN
b. 4.0 x 10
4
kN
c. 4.0 x 10
1
MN
d. 4.0 x 10
-3
GN
e. 4.0 x 10
-5
TN
29. Small particles with a mass of 0.10 kg are allowed to fall from a height of 1.6 m before colliding with the pan of a balance. The collisions occur at 441 particles/min, what will the balance register if the collisions of the particles are perfectly elastic?
a. 0.43 kg
b. 0.53 kg
c. 0.73 kg
d. 0.83 kg
e. 0.93 kg
30. Earth rotates once every 23 h 56 min around an axis that runs from the North to South Pole. What is the angular velocity of the Earth?
a. 7.29 X 10
-5
rad/s
b. 7.59 X 10
-5
rad/s
c. 7.09 X 10
-5
rad/s
d. 4.37 X 10
-3
rad/s
e. 4.37 X 10
-5
rad/s
31. When riding the Wild Thing roller coaster, the passengers feel 50% heavier than their actual weight as the car goes through a dip with a 30 m radius of curvature. What is thecar’s speed at the bottom of the dip?
a. 14.3 m/s
b. 11.1 m/s
c. 12.3 m/s
d. 10.1 m/s
e. 15.0 m/s
32. As an airplane is flying, it is determined that the airflow speed past the lower surface of the wing is 100 m/s. What speed of airflow over the upper surface of the wing would give a pressure difference of 1000 Pa? 1.293 𝑘𝑔/𝑚
3
is the density of the air.
a. 102 m/s
b. 103 m/s
c. 105 m/s
d. 108 m/s
e. 111 m/s
33. A high-voltage power transmission line is to supply power at 104 kW. The electricity travels through 30 km of cable that has a resistance 0.7 Ω 𝑘𝑚. Find the rate of energy loss if the power is transmitted at 100 kV.
a. 4.2%
b. 4.9%
c. 2.1%
d. 9.8%
e. 6.4%
34. A sample of an ideal gas is being held at a constant pressure. What happens to the internal energy of the gas if 10 J of heat energy are transferred to the gas?
a. Increases by 10 J
b. Increases by <10 J
c. Increases by >10 J
d. Remains unchanged
e. More information is needed
35. Before testing the circuit shown below, and taking the current and voltage readings, a student is asked to predict what the meters will read at each location indicated. What will be the ammeter reading at A
2
?
a. 2.0 A
b. 12 A
c. 8.0 A
d. 6.0 A
e. 4.0 A
36. Light is refracted when it passes from air into glass. Which of these wave properties changes?
a. Speed only
b. Wavelength only
c. Frequency only
d. Both speed and wavelength
e. Both speed and frequency
37. Imagine that you’re standing on the surface of a planet that shrinks to 1/10 of its original diameter with no change in mass. Your weight on the shrunken planet would be
a. 1/100 as much.
b. 1/10 times as much.
c. 10 times as much.
d. 100 times as much.
e. 1000 times as much.
38. A box of mass
m
is pressed against (but is not attached to) an ideal spring of force constant
k
and negligible mass. The spring is compressed a distance
x
slides up a frictionless incline as shown in the diagram below and eventually stops. If we repeat this experiment with a box of mass
2m.
a. the lighter box will go twice as high up the incline as the heavier box.
b. just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box.
c. both boxes will have the same speed just as they move free of the spring.
d. both boxes will reach the same maximum height on the incline.
e. just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box
39. A 20 L tank of oxygen has a pressure of 0.30 atm and a temperature of 300 K. A 30 L tank of nitrogen has a pressure of 0.60 atm and a temperature of 300 K. The oxygen is transferred to the nitrogen tank where the two mix. What is the pressure of the mixture if its temperature stays at 300 K?
a. 0.70 atm
b. 0.75 atm
c. 0.78 atm
d. 0.80 atm
e. 0.90 atm
40. Three charges are located at the vertices of a right triangle as shown below. What is the magnitude of the resultant electric field at the midpoint, M, on a line between A and C?
a. 1.44 X 10
7
N/C
b. 1.84 X 10
7
N/C
c. 1.14 X 10
7
N/C
d. 2.64 X 10
7
N/C
e. 1.04 X 10
7
N/C
DIVISION 1 STUDENTS STOP HERE Your last answer should be for #40. Numbers #41 through #50 should remain blank for Division 1 students.
DIVISION 2 STUDENTS CONTINUE Answer questions #41 through #50.
41. For a particular conductor, the magnetrrent are at right angles to one another. The component of force acting on the conductor is
a. BIL cos θ
b. BIL sin θ
c. BIL tan θ
d. BL sin θ
e. BL cos θ
42. A satellite with a mass of 2500 kg is in orbit around Earth. If a second satellite with a mass 5000 kg, is to be placed at the same orbital distance from Earth, the second satellite must have a speed which is:
a. half the speed of the lighter satellite.
b. twice the speed of the lighter satellite.
c. the same speed as the lighter satellite.
d. four times the speed of the lighter satellite.
e. dependent upon the location from which it is launched.
43. A block with a mass of 1.5 kg is at rest on a ramp as shown at right. The ramp is angled at 50o to the horizontal and has a rough surface with coefficients of static and kinetic frictions that are μs=0.65 and μk=0.3, respectively. The block is being held in place by a spring with k=40 N/m. What is the minimum distance the spring must be stretched in order for the block to be at rest?
a. 0.043 m
b. 0.053 m
c. 0.13 m
d. 0.17 m
e. 0.21 m
44. Two quantities are found to be inversely proportional to one another. When analyzing this relationship, a graph between y and 1/𝑥 is plotted. This graph would show:
a. a straight line bisecting the y-axis.
b. a straight line through the origin.
c. a parabolic curve.
d. a hyperbolic curve.
e. a straight line bisecting the 1/𝑥 -axis.
45. An electron moves in a circle with radius 1.9 m in a magnetic field of 3.0 X 10
-5
T. What is the frequency with which this electron revolves around the circle?
a. 8.4 X 10
5
Hz
b. 6.4 X 10
5
Hz
c. 9.4 X 10
5
Hz
d. 8.4 X 10
4
Hz
e. 6.4 X 10
4
Hz
46. A thin cylindrical wheel has a of radius of 40 cm and is allowed to spin on a frictionless axle. The wheel, which is initially at rest, has a force of 50 N applied at 20
o
from the perpendicular to its radius as shown. The wheel has a moment of inertia of 20 kg.m
2
. What is the wheel’s angular speed after 3.0 s?
a. 1.82 rad/s
b. 2.00 rad/s
c. 2.42 rad/s
d. 2.82 rad/s
e. 3.00 rad/s
47. A small rocket with a mass of 5000 kg is to be launched vertically. What rate of ejection of gas, with an exhaust speed 1000 m/s, is necessary to provide the thrust to impart an initial upward acceleration of 2 g?
a. 50 kg/s
b. 100 kg/s
c. 150 kg/s
d. 200 kg/s
e. 250 kg/s
48. The focal lengths of the objective and eyepiece convex lenses are in the ratio 8:1 for a particular telescope. The telescope is pointed at a building that is 10 km from the telescope and is 100 m tall. What is the distance to the image?
a. 56.2 m
b. 156.2 m
c. 98.4 m
d. 142 m
e. 33. 4 m
49. A circuit consists of a resistor, capacitor, and inductor connected in series to an AC source. As then the circuit decreases. Which statement about the circuit is NOT correct as the source frequency increases?
a. The impedance of the circuit increases.
b. The circuit is said to become more capacitive than inductive.
c. The phase angle for the circuit becomes more positive.
d. The inductive reactance increases.
e. The total power from the source decreases
50. An electron (e-) is moving and has kinetic energy of 1.00 MeV. It makes a head-on collision with a positron (e+) that is at rest. In the collision the two particles annihilate each other and are replaced by two photons (γ ) of equal energy, each traveling at angles θ to the electron’s original direction of motion. The reaction is e- + e+ → 2γ. Determine the angle of emission θ of each photon.
a. 15.3
o
b. 25.3
o
c. 35.3
o
d. 45.3
o
e. 55.3
o
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