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Part A
Answer all questions in this part.
Directions (1–35): For each statement or question, write in your answer booklet the number of the word
or expression that, of those given, best completes the statement or answers the question.

1 Scalar is to vector as
(1) speed is to velocity
(2) displacement is to distance
(3) displacement is to velocity
(4) speed is to distance Answer: 1
2 If a car accelerates uniformly from rest to
15 meters per second over a distance of
100. meters, the magnitude of the car’s
acceleration is
(1) 0.15 m/s^{2} (3) 2.3 m/s^{2}
(2) 1.1 m/s^{2} (4) 6.7 m/s^{2} Answer: 2
3 An object accelerates uniformly from 3.0 meters
per second east to 8.0 meters per second east in
2.0 seconds. What is the magnitude of the
acceleration of the object?
(1) 2.5 m/s^{2} (3) 5.5 m/s^{2}
(2) 5.0 m/s^{2} (4) 11 m/s^{2} Answer: 1
4 A rock is dropped from a bridge. What happens
to the magnitude of the acceleration and the
speed of the rock as it falls? [Neglect friction.]
(1) Both acceleration and speed increase.
(2) Both acceleration and speed remain the
same.
(3) Acceleration increases and speed decreases.
(4) Acceleration remains the same and speed
increases. Answer: 4
5 A soccer ball kicked on a level field has an initial
vertical velocity component of 15.0 meters per
second. Assuming the ball lands at the same
height from which it was kicked, what is the total
time the ball is in the air? [Neglect friction.]
(1) 0.654 s (3) 3.06 s
(2) 1.53 s (4) 6.12 s Answer: 3
6 A student is standing in an elevator that is
accelerating downward. The force that the
student exerts on the floor of the elevator must
be
(1) less than the weight of the student when at
rest
(2) greater than the weight of the student when
at rest
(3) less than the force of the floor on the student
(4) greater than the force of the floor on the
student Answer: 1
7 The magnitude of the centripetal force acting on
an object traveling in a horizontal, circular path
will decrease if the
(1) radius of the path is increased
(2) mass of the object is increased
(3) direction of motion of the object is reversed
(4) speed of the object is increased Answer: 1
8 The centripetal force acting on the space shuttle
as it orbits Earth is equal to the shuttle’s
(1) inertia (3) velocity
(2) momentum (4) weight Answer: 4
9 As a box is pushed 30. meters across a horizontal
floor by a constant horizontal force of
25 newtons, the kinetic energy of the box
increases by 300. joules. How much total internal
energy is produced during this process?
(1) 150 J (3) 450 J
(2) 250 J (4) 750 J Answer: 3
10 What is the power output of an electric motor
that lifts a 2.0kilogram block 15 meters
vertically in 6.0 seconds?
(1) 5.0 J (3) 49 J
(2) 5.0 W (4) 49 W Answer: 4
11 Four identical projectiles are launched with the same initial speed, v, but at various angles above the level
ground. Which diagram represents the initial velocity of the projectile that will have the largest total
horizontal displacement? [Neglect air resistance.]
Answer: 2
12 Two forces act concurrently on an object on a horizontal, frictionless surface, as shown in the diagram
below.
What additional force, when applied to the object, will establish equilibrium?
(1) 16 N toward the right (3) 4 N toward the right
(2) 16 N toward the left (4) 4 N toward the left Answer: 4
13 As shown in the diagram below, an open box and its contents have a combined mass of 5.0 kilograms.
A horizontal force of 15 newtons is required to push the box at a constant speed of 1.5 meters per second
across a level surface.
The inertia of the box and its contents increases if there is an increase in the
(1) speed of the box
(2) mass of the contents of the box
(3) magnitude of the horizontal force applied to the box
(4) coefficient of kinetic friction between the box and the level surface Answer: 2
14 Which statement describes the kinetic energy and total mechanical energy of a block as it is pulled at
constant speed up an incline?
(1) Kinetic energy decreases and total mechanical energy increases.
(2) Kinetic energy decreases and total mechanical energy remains the same.
(3) Kinetic energy remains the same and total mechanical energy increases.
(4) Kinetic energy remains the same and total mechanical energy remains the same. Answer: 3
15 Which diagram represents the electric field lines between two small electrically charged spheres?
Answer: 2
16 The diagram below represents a view from above of a tank of water in which parallel wave fronts are
traveling toward a barrier.
Water Tank
Which arrow represents the direction of travel for the wave fronts after being reflected from the barrier?
(1) A (3) C
(2) B (4) D Answer: 3
17 Two metal spheres, A and B, possess charges
of 1.0 microcoulomb and 2.0 microcoulombs,
respectively. In the diagram below, arrow F
represents the electrostatic force exerted on
sphere B by sphere A.
Which arrow represents the magnitude and
direction of the electrostatic force exerted on
sphere A by sphere B?
Answer: 1
18 The diagram below represents a positively
charged particle about to enter the electric field
between two oppositely charged parallel plates.
The electric field will deflect the particle
(1) into the page
(2) out of the page
(3) toward the top of the page
(4) toward the bottom of the page Answer: 4
19 What is the total amount of work required to
move a proton through a potential difference of
100. volts?
(1) 1.60 × 10^{–21} J (3) 1.00 × 10^{2} J
(2) 1.60 × 10^{–17} J (4) 6.25 × 10^{20} J Answer: 2
20 What is the current through a wire if
240 coulombs of charge pass through the wire in
2.0 minutes?
(1) 120 A (3) 0.50 A
(2) 2.0 A (4) 0.0083 A Answer: 2
21 An electric circuit consists of a variable resistor
connected to a source of constant potential
difference. If the resistance of the resistor is
doubled, the current through the resistor is
(1) halved (3) quartered
(2) doubled (4) quadrupled Answer: 1
22 Circuit A has four 3.0ohm resistors connected in
series with a 24volt battery, and circuit B has two
3.0ohm resistors connected in series with a
24volt battery. Compared to the total potential
drop across circuit A, the total potential drop
across circuit B is
(1) onehalf as great (3) the same
(2) twice as great (4) four times as great Answer: 3
23 How much total energy is dissipated in 10. seconds
in a 4.0ohm resistor with a current of
0.50 ampere?
(1) 2.5 J (3) 10. J
(2) 5.0 J (4) 20. J Answer: 3
24 Moving a length of copper wire through a
magnetic field may cause the wire to have a
(1) potential difference across it
(2) lower temperature
(3) lower resistivity
(4) higher resistance Answer: 1
25 A pulse traveled the length of a stretched spring.
The pulse transferred
(1) energy, only
(2) mass, only
(3) both energy and mass
(4) neither energy nor mass Answer: 1
26 The graph below represents the displacement of
a particle in a medium over a period of time.
The amplitude of the wave is
(1) 4.0 s (3) 8 cm
(2) 6.0 s (4) 4 cm Answer: 4
27 What is the period of a water wave if 4.0
complete waves pass a fixed point in 10. seconds?
(1) 0.25 s (3) 2.5 s
(2) 0.40 s (4) 4.0 s Answer: 3
28 The diagram below represents a periodic wave.
Which point on the wave is 90° out of phase with
point P?
(1) A (3) C
(2) B (4) D Answer: 2
29 What is the wavelength of a 256hertz sound
wave in air at STP?
(1) 1.17 × 10^{6} m (3) 0.773 m
(2) 1.29 m (4) 8.53 × 10^{–7} m Answer: 2
30 What is the minimum total energy released when
an electron and its antiparticle (positron)
annihilate each other?
(1) 1.64 × 10^{–13} J (3) 5.47 × 10^{–22} J
(2) 8.20 × 10^{–14} J (4) 2.73 × 10^{–22} J Answer: 1
31 Which statement correctly describes one
characteristic of a sound wave?
(1) A sound wave can travel through a vacuum.
(2) A sound wave is a transverse wave.
(3) The amount of energy a sound wave
transmits is directly related to the wave’s
amplitude.
(4) The amount of energy a sound wave
transmits is inversely related to the wave’s
frequency. Answer: 3
32 A 256hertz vibrating tuning fork is brought near
a nonvibrating 256hertz tuning fork. The second
tuning fork begins to vibrate. Which
phenomenon causes the nonvibrating tuning fork
to begin to vibrate?
(1) resistance (3) refraction
(2) resonance (4) reflection Answer: 2
33 Astronauts traveling toward Earth in a fast
moving spacecraft receive a radio signal from an
antenna on Earth. Compared to the frequency
and wavelength of the radio signal emitted from
the antenna, the radio signal received by the
astronauts has a
(1) lower frequency and a shorter wavelength
(2) lower frequency and a longer wavelength
(3) higher frequency and a shorter wavelength
(4) higher frequency and a longer wavelength Answer: 3
34 On the atomic level, energy and matter exhibit
the characteristics of
(1) particles, only
(2) waves, only
(3) neither particles nor waves
(4) both particles and waves Answer: 4
35 Which particles are not affected by the strong
force?
(1) hadrons (3) neutrons
(2) protons (4) electrons Answer: 4
Part B–1
Answer all questions in this part.
Directions (36–50): For each statement or question, write in your answer booklet the number of the word
or expression that, of those given, best completes the statement or answers the question.

36 What is the approximate diameter of an inflated
basketball?
(1) 2 × 10^{–2} m (3) 2 × 10^{0} m
(2) 2 × 10^{–1} m (4) 2 × 10^{1} m Answer: 2
37 The graph below shows the relationship between
the speed and elapsed time for an object falling
freely from rest near the surface of a planet.
What is the total distance the object falls during
the first 3.0 seconds?
(1) 12 m (3) 44 m
(2) 24 m (4) 72 m Answer: 1
38 A 75kilogram hockey player is skating across the
ice at a speed of 6.0 meters per second. What is
the magnitude of the average force required to
stop the player in 0.65 second?
(1) 120 N (3) 690 N
(2) 290 N (4) 920 N Answer: 3
39 A child pulls a wagon at a constant velocity along
a level sidewalk. The child does this by applying
a 22newton force to the wagon handle, which is
inclined at 35° to the sidewalk as shown below.
What is the magnitude of the force of friction on
the wagon?
(1) 11 N (3) 18 N
(2) 13 N (4) 22 N Answer: 3
40 The diagram below shows the arrangement of
three small spheres, A, B, and C, having charges
of 3q, q, and q, respectively. Spheres A and C are
located distance r from sphere B.
Compared to the magnitude of the electrostatic
force exerted by sphere B on sphere C, the
magnitude of the electrostatic force exerted by
sphere A on sphere C is
Answer: 3
41 A space probe is launched into space from Earth’s surface. Which graph represents the relationship
between the magnitude of the gravitational force exerted on Earth by the space probe and the distance
between the space probe and the center of Earth?
Answer: 2
42 Which graph represents the relationship between the gravitational potential energy (GPE) of an object near
the surface of Earth and its height above the surface of Earth?
Answer: 2
43 Two parallel metal plates are connected to a variable source of potential difference. When the potential
difference of the source is increased, the magnitude of the electric field strength between the plates
increases. The diagram below shows an electron located between the plates.
Which graph represents the relationship between the magnitude of the electrostatic force on the electron
and the magnitude of the electric field strength between the plates?
Answer: 4
44 The diagram below represents a circuit
consisting of two resistors connected to a source
of potential difference.
What is the current through the 20.ohm
resistor?
(1) 0.25 A (3) 12 A
(2) 6.0 A (4) 4.0 A Answer: 4
Which statement describes the polarity of
magnetic poles A and B?
(1) A is a north pole and B is a south pole.
(2) A is a south pole and B is a north pole.
(3) Both A and B are north poles.
(4) Both A and B are south poles. Answer: 1
46 The diagram below represents a transverse
water wave propagating toward the left. A cork is
floating on the water’s surface at point P.
In which direction will the cork move as the
wave passes point P?
(1) up, then down, then up
(2) down, then up, then down
(3) left, then right, then left
(4) right, then left, then right Answer: 2
47 The diagram below shows a series of wave fronts
approaching an opening in a barrier. Point P is
located on the opposite side of the barrier.
The wave fronts reach point P as a result of
(1) resonance (3) reflection
(2) refraction (4) diffraction Answer: 4
48 The diagram below represents a standing wave.
The number of nodes and antinodes shown in
the diagram is
(1) 4 nodes and 5 antinodes
(2) 5 nodes and 6 antinodes
(3) 6 nodes and 5 antinodes
(4) 6 nodes and 10 antinodes Answer: 3
49 A deuterium nucleus consists of one proton and
one neutron. The quark composition of a
deuterium nucleus is
(1) 2 up quarks and 2 down quarks
(2) 2 up quarks and 4 down quarks
(3) 3 up quarks and 3 down quarks
(4) 4 up quarks and 2 down quarks Answer: 3
50 The diagram below shows two waves traveling in the same medium. Points A, B, C, and D are located along
the rest position of the medium. The waves interfere to produce a resultant wave.
The superposition of the waves produces the greatest positive displacement of the medium from its rest
position at point
(1) A (3) C
(2) B (4) D Answer: 1
Part B–2
Answer all questions in this part.
Directions (51–65): Record your answers in the spaces provided in your answer booklet.

51–52 A 0.50kilogram frog is at rest on the bank
surrounding a pond of water. As the frog leaps
from the bank, the magnitude of the
acceleration of the frog is 3.0 meters per
second^{2}. Calculate the magnitude of the net
force exerted on the frog as it leaps. [Show all
work, including the equation and substitution
with units.] [2] Answer: MODEL ANSWER GIVEN BELOW51 [1] Allow 1 credit for the equation and substitution with units. Refer to Scoring Criteria for Calculations
in this rating guide.
Example of a 1credit response:
52 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 51.
Example of a 1credit response:
Fnet = 1.5 N
Base your answers to questions 53 through 55 on
the information below.
A student and the waxed skis he is wearing
have a combined weight of 850 newtons. The skier
travels down a snowcovered hill and then glides
to the east across a snowcovered, horizontal
surface.
53 Determine the magnitude of the normal force
exerted by the snow on the skis as the skier
glides across the horizontal surface. [1] Answer: MODEL ANSWER GIVEN BELOW53 [1] Allow 1 credit for 850 N.
54–55 Calculate the magnitude of the force of friction
acting on the skis as the skier glides across the
snowcovered, horizontal surface. [Show all
work, including the equation and substitution
with units.] [2] Answer: MODEL ANSWER GIVEN BELOW54 [1] Allow 1 credit for the equation and substitution with units or for an answer that is consistent with the
student’s response to question 53. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 1credit response:
55 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 54.
Example of a 1credit response:
F_{f} = 40 N
56–57 Calculate the kinetic energy of a particle with a
mass of 3.34 × 10^{–27} kilogram and a speed of
2.89 × 10^{5} meters per second. [Show all work,
including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW56 [1] Allow 1 credit for the equation and substitution with units. Refer to Scoring Criteria for Calculations
in this rating guide.
Example of a 1credit response:
57 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 56.
Example of a 1credit response:
KE = 1.39 × 10^{−16} J
58 A simple circuit consists of a 100.ohm resistor
connected to a battery. A 25ohm resistor is to
be connected in the circuit. Determine the
smallest equivalent resistance possible when
both resistors are connected to the battery. [1] Answer: MODEL ANSWER GIVEN BELOW58 [1] Allow 1 credit for 20 Ω.
59 The graph below represents the relationship
between the work done by a person and time.
Identify the physical quantity represented by
the slope of the graph. [1] Answer: MODEL ANSWER GIVEN BELOW
59 [1] Allow 1 credit. Acceptable responses include, but are not limited to:
— power
— the rate at which work is done
Note: Do not allow credit for a linear relationship.
60–61 The heating element in an automobile window
has a resistance of 1.2 ohms when operated at
12 volts. Calculate the power dissipated in the
heating element. [Show all work, including the
equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW60 [1] Allow 1 credit for the equation and substitution with units. Refer to Scoring Criteria for Calculations
in this rating guide.
Example of a 1credit response:
61 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 60.
Example of a 1credit response:
P = 120 W
62–63 An electromagnetic wave of wavelength
5.89 × 10^{–7} meter traveling through air is
incident on an interface with corn oil. Calculate
the wavelength of the electromagnetic wave in
corn oil. [Show all work, including the equation
and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW62 [1] Allow 1 credit for the equation and substitution with units. Refer to Scoring Criteria for Calculations
in this rating guide.
Example of a 1credit response:
63 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 62.
Example of a 1credit response:
64 The energy required to separate the
3 protons and 4 neutrons in the nucleus of a
lithium atom is 39.3 megaelectronvolts.
Determine the mass equivalent of this energy, in
universal mass units. [1] Answer: MODEL ANSWER GIVEN BELOW64 [1] Allow 1 credit for 4.22 × 10^{−2} u.
65 A wave generator having a constant frequency produces parallel wave fronts in a tank of water
of two different depths. The diagram below represents the wave fronts in the deep water.
As the wave travels from the deep water into the shallow water, the speed of the waves decreases.
On the diagram in your answer booklet, use a straightedge to draw at least three lines to represent the
wave fronts, with appropriate spacing, in the shallow water. [1] Answer: MODEL ANSWER GIVEN BELOW65 [1] Allow 1 credit for a minimum of three wave fronts, approximately evenly spaced, drawn parallel to
each other and to the original wave fronts, and spaced closer together than the original wave fronts.
Example of a 1credit response:
Part C
Answer all questions in this part.
Base your answers to questions 66 through 69 on the information and diagram below.
A model airplane heads due east at 1.50 meters per second, while the wind blows due north at
0.70 meter per second. The scaled diagram below represents these vector quantities.
66 Using a ruler, determine the scale used in the vector diagram. [1] Answer: MODEL ANSWER GIVEN BELOW66 [1] Allow 1 credit for 1.0 cm = 0.20 m/s ± 0.04 m/s.
67 On the diagram in your answer booklet, use a protractor and a ruler to construct a vector to represent
the resultant velocity of the airplane. Label the vector R. [1] Answer: MODEL ANSWER GIVEN BELOW67 [1] Allow 1 credit for constructing the resultant 8.3 cm ± 0.2 cm long at an angle of 65° ± 2° east of north.
Examples of 1credit responses:
Note: The resultant vector need not be labeled to receive this credit.
68 Determine the magnitude of the resultant velocity. [1] Answer: MODEL ANSWER GIVEN BELOW68 [1] Allow 1 credit for 1.7 m/s or an answer that is consistent with the student’s response to questions 66
and 67.
69 Determine the angle between north and the resultant velocity. [1] Answer: MODEL ANSWER GIVEN BELOW69 [1] Allow 1 credit for 65° ± 2° or an answer that is consistent with the student’s response to questions 67
and/or 68.
Base your answers to questions 70 through 73 on the information below.
A vertically hung spring has a spring constant of 150. newtons per meter. A
2.00kilogram mass is suspended from the spring and allowed to come to rest.
70–71 Calculate the elongation of the spring produced by the suspended 2.00kilogram mass. [Show all
work, including the equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW70 [1] Allow 1 credit for the equation and substitution with units. Refer to Scoring Criteria for Calculations
in this rating guide.
Example of a 1credit response:
71 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 70.
Example of a 1credit response:
x = 0.131 m
72–73 Calculate the total elastic potential energy stored in the spring due to the suspended
2.00kilogram mass. [Show all work, including the equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW72 [1] Allow 1 credit for the equation and substitution with units, or for an answer that is consistent with
the student’s response to question 71. Refer to Scoring Criteria for Calculations in this rating guide.
73 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 72.
Example of a 1credit response:
PE_{s} = 1.29 J
Base your answers to questions 74 through 76 on the information and diagram below.
A circuit contains a 12.0volt battery, an ammeter, a variable resistor, and connecting wires of
negligible resistance, as shown below.
The variable resistor is a nichrome wire, maintained at 20.°C. The length of the nichrome wire
may be varied from 10.0 centimeters to 90.0 centimeters. The ammeter reads 2.00 amperes when
the length of the wire is 10.0 centimeters.
74 Determine the resistance of the 10.0centimeter length of nichrome wire. [1] Answer: MODEL ANSWER GIVEN BELOW74 [1] Allow 1 credit for 6.00 Ω.
75–76 Calculate the crosssectional area of the nichrome wire. [Show all work, including the equation and
substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW75 [1] Allow 1 credit for the equation and substitution with units, or for an answer that is consistent with
the student’s response to question 74. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 1credit response:
76 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 75.
Example of a 1credit response:
A = 2.50 × 10^{−8} m^{2}
Base your answers to questions 77 through 80 on the information below.
A photon with a wavelength of 2.29 × 10^{–7} meter strikes a mercury atom in the ground state.
77–78 Calculate the energy, in joules, of this photon. [Show all work, including the equation and
substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW77 [1] Allow 1 credit for equation and substitution with units. Refer to Scoring Criteria for Calculations in
this rating guide.
Example of a 1credit response:
78 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 77.
Example of a 1credit response:
Ephoton = 8.69 × 10^{−19} J
79 Determine the energy, in electronvolts, of this photon. [1] Answer: MODEL ANSWER GIVEN BELOW79 [1] Allow 1 credit for 5.43 eV or an answer that is consistent with the student’s response to question 78.
80 Based on your answer to question 79, state if this photon can be absorbed by the mercury atom.
Explain your answer. [1] Answer: MODEL ANSWER GIVEN BELOW80 [1] Allow 1 credit for indicating that the photon can be absorbed and explaining that the energy of the
photon is exactly equal to the energylevel difference between the ground state and level d.
Note: Allow credit for an answer that is consistent with the student’s response to question 79.
Base your answers to questions 81 through 85 on the information below.
A ray of monochromatic light ( f = 5.09 × 10^{14} Hz) passes through air and a rectangular
transparent block, as shown in the diagram below.
81 Using a protractor, determine the angle of incidence of the light ray as it enters the transparent block
from air. [1] Answer: MODEL ANSWER GIVEN BELOW81 [1] Allow 1 credit for 41° ± 2°.
82–83 Calculate the absolute index of refraction for the medium of the transparent block. [Show all work,
including the equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW82 [1] Allow 1 credit for equation and substitution with units, or for an answer that is consistent with the
student’s response to question 81. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 1credit response:
83 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 82.
Example of a 1credit response:
n_{2} = 1.9
84–85 Calculate the speed of the light ray in the transparent block. [Show all work, including the equation
and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW84 [1] Allow 1 credit for equation and substitution with units, or for an answer that is consistent with the
student’s response to question 82 and/or 83. Refer to Scoring Criteria for Calculations in this rating
guide.
Example of a 1credit response:
85 [1] Allow 1 credit for the correct answer with units or for an answer that is consistent with the student’s
response to question 84.
Example of a 1credit response:
v = 1.6 × 10^{8} m/s
Try the Quiz : Physical Setting / Physics  New York Regents June 2011 Exam
