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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 A baseball player runs 27.4 meters from the
batter’s box to first base, overruns first base by
3.0 meters, and then returns to first base.
Compared to the total distance traveled by the
player, the magnitude of the player’s total
displacement from the batter’s box is
(1) 3.0 m shorter (3) 3.0 m longer
(2) 6.0 m shorter (4) 6.0 m longer Answer: 2
2 A motorboat, which has a speed of 5.0 meters
per second in still water, is headed east as it
crosses a river flowing south at 3.3 meters per
second. What is the magnitude of the boat’s
resultant velocity with respect to the starting
point?
(1) 3.3 m/s (3) 6.0 m/s
(2) 5.0 m/s (4) 8.3 m/s Answer: 3
3 A car traveling on a straight road at 15.0 meters
per second accelerates uniformly to a speed of
21.0 meters per second in 12.0 seconds. The
total distance traveled by the car in this
12.0second time interval is
(1) 36.0 m (3) 216 m
(2) 180. m (4) 252 m Answer: 3
4 A 0.149kilogram baseball, initially moving at
15 meters per second, is brought to rest in
0.040 second by a baseball glove on a catcher’s
hand. The magnitude of the average force
exerted on the ball by the glove is
(1) 2.2 N (3) 17 N
(2) 2.9 N (4) 56 N Answer: 4
5 Which body is in equilibrium?
(1) a satellite moving around Earth in a circular
orbit
(2) a cart rolling down a frictionless incline
(3) an apple falling freely toward the surface of
Earth
(4) a block sliding at constant velocity across a
tabletop Answer: 4
6 As shown in the diagram below, a student
standing on the roof of a 50.0meterhigh
building kicks a stone at a horizontal speed of
4.00 meters per second.
How much time is required for the stone to
reach the level ground below? [Neglect friction.]
(1) 3.19 s (3) 10.2 s
(2) 5.10 s (4) 12.5 s Answer: 1
7 On the surface of Earth, a spacecraft has a mass
of 2.00 × 10^{4} kilograms. What is the mass of the
spacecraft at a distance of one Earth radius
above Earth’s surface?
(1) 5.00 × 10^{3} kg (3) 4.90 × 10^{4} kg
(2) 2.00 × 10^{4} kg (4) 1.96 × 10^{5} kg Answer: 2
8 A student pulls a 60.newton sled with a force
having a magnitude of 20. newtons. What is the
magnitude of the force that the sled exerts on the
student?
(1) 20. N (3) 60. N
(2) 40. N (4) 80. N Answer: 1
9 The data table below lists the mass and speed of
four different objects.
Data Table
Object Mass (kg) Speed (m/s)
A 4.0 6.0
B 6.0 5.0
C 8.0 3.0
D 16.0 1.5
Which object has the greatest inertia?
(1) A (3) C
(2) B (4) D Answer: 4
10 The diagram below shows a horizontal 12newton force being applied to two blocks, A and B,
initially at rest on a horizontal, frictionless surface.
Block A has a mass of 1.0 kilogram and block B has a mass of 2.0 kilograms.
The magnitude of the acceleration of block B is
(1) 6.0 m/s^{2} (3) 3.0 m/s^{2}
(2) 2.0 m/s^{2} (4) 4.0 m/s^{2} Answer: 4
11 A ball is thrown vertically upward with an initial
velocity of 29.4 meters per second. What is the
maximum height reached by the ball? [Neglect
friction.]
(1) 14.7 m (3) 44.1 m
(2) 29.4 m (4) 88.1 m Answer: 3
12 The diagram below represents a mass, m, being
swung clockwise at constant speed in a horizontal
circle.
At the instant shown, the centripetal force acting
on mass m is directed toward point
(1) A (3) C
(2) B (4) D Answer: 3
13 A 3.1kilogram gun initially at rest is free to
move. When a 0.015kilogram bullet leaves the
gun with a speed of 500. meters per second, what
is the speed of the gun?
(1) 0.0 m/s (3) 7.5 m/s
(2) 2.4 m/s (4) 500. m/s Answer: 2
14 Four projectiles, A, B, C, and D, were launched from, and returned to, level ground. The data table below
shows the initial horizontal speed, initial vertical speed, and time of flight for each projectile.
Data Table
Initial Horizontal Initial Vertical
Projectile Time of Flight (s)
Speed (m/s) Speed (m/s)
A 40.0 29.4 6.00
B 60.0 19.6 4.00
C 50.0 24.5 5.00
D 80.0 19.6 4.00
Which projectile traveled the greatest horizontal distance? [Neglect friction.]
(1) A (3) C
(2) B (4) D Answer: 4
15 A wound spring provides the energy to propel a toy car across a level floor. At time t_{i} ,the car is moving at
speed v_{i} across the floor and the spring is unwinding, as shown below. At time t_{f} , the spring has fully
unwound and the car has coasted to a stop.
Which statement best describes the transformation of energy that occurs between times t_{i} and t_{f} ?
(1) Gravitational potential energy at t_{i} is converted to internal energy at t_{f} .
(2) Elastic potential energy at t_{i} is converted to kinetic energy at t_{f} .
(3) Both elastic potential energy and kinetic energy at t_{i} are converted to internal energy at t_{f} .
(4) Both kinetic energy and internal energy at t_{i} are converted to elastic potential energy at t_{f} . Answer: 3
16 A 75kilogram bicyclist coasts down a hill at a constant speed of 12 meters per second. What is the kinetic
energy of the bicyclist?
(1) 4.5 × 10^{2} J (3) 5.4 × 10^{3} J
(2) 9.0 × 10^{2} J (4) 1.1 × 10^{4} J Answer: 3
17 The diagram below represents a 155newton box
on a ramp. Applied force F causes the box to slide
from point A to point B.
What is the total amount of gravitational
potential energy gained by the box?
(1) 28.4 J (3) 868 J
(2) 279 J (4) 2740 J Answer: 2
18 An electric heater operating at 120. volts draws
8.00 amperes of current through its 15.0 ohms of
resistance. The total amount of heat energy
produced by the heater in 60.0 seconds is
(1) 7.20 × 10^{3} J (3) 8.64 × 10^{4} J
(2) 5.76 × 10^{4} J (4) 6.91 × 10^{6} J Answer: 2
19 Magnetic fields are produced by particles that are
(1) moving and charged
(2) moving and neutral
(3) stationary and charged
(4) stationary and neutral Answer: 1
20 A charge of 30. coulombs passes through a
24ohm resistor in 6.0 seconds. What is the
current through the resistor?
(1) 1.3 A (3) 7.5 A
(2) 5.0 A (4) 4.0 A Answer: 2
21 What is the magnitude of the electrostatic force
between two electrons separated by a distance of
1.00 × 10^{–8} meter?
(1) 2.56 × 10^{–22} N (3) 2.30 × 10^{–12} N
(2) 2.30 × 10^{–20} N (4) 1.44 × 10^{–1} N Answer: 3
22 The diagram below represents the electric field
surrounding two charged spheres, A and B.
What is the sign of the charge of each sphere?
(1) Sphere A is positive and sphere B is negative.
(2) Sphere A is negative and sphere B is positive.
(3) Both spheres are positive.
(4) Both spheres are negative. Answer: 2
23 Which circuit has the smallest equivalent
resistance?
Answer: 3
Base your answers to questions 24 through 26 on the information and diagram below.
A longitudinal wave moves to the right through a uniform medium, as shown below.
Points A, B, C, D, and E represent the positions of particles of the medium.
24 Which diagram best represents the motion of the particle at position C as the wave moves to the right?
Answer: 4
25 The wavelength of this wave is equal to the distance between points
(1) A and B (3) B and C
(2) A and C (4) B and E Answer: 2
26 The energy of this wave is related to its
(1) amplitude (3) speed
(2) period (4) wavelength Answer: 1
27 A ray of monochromatic yellow light ( f = 5.09 × 10^{14} Hz) passes from water through flint glass and into
medium X, as shown below.
The absolute index of refraction of medium X is
(1) less than 1.33 (3) greater than 1.52 and less than 1.66
(2) greater than 1.33 and less than 1.52 (4) equal to 1.66 Answer: 4
28 A light ray traveling in air enters a second
medium and its speed slows to 1.71 × 10^{8} meters
per second. What is the absolute index of
refraction of the second medium?
(1) 1.00 (3) 1.75
(2) 0.570 (4) 1.94 Answer: 3
29 Playing a certain musical note on a trumpet
causes the spring on the bottom of a nearby
snare drum to vibrate. This phenomenon is an
example of
(1) resonance (3) reflection
(2) refraction (4) diffraction Answer: 1
30 In a vacuum, all electromagnetic waves have the
same
(1) speed (3) frequency
(2) phase (4) wavelength Answer: 1
31 A particle that is composed of two up quarks and
one down quark is a
(1) meson (3) proton
(2) neutron (4) positron Answer: 3
32 A helium atom consists of two protons, two
electrons, and two neutrons. In the helium atom,
the strong force is a fundamental interaction
between the
(1) electrons, only
(2) electrons and protons
(3) neutrons and electrons
(4) neutrons and protons Answer: 4
33 What total mass must be converted into energy
to produce a gamma photon with an energy of
1.03 × 10^{–13} joule?
(1) 1.14 × 10^{–30} (3) 3.09 × 10^{–5}
(2) 3.43 × 10^{–22} (4) 8.75 × 10^{29} Answer: 1
34 Compared to the mass and charge of a proton,
an antiproton has
(1) the same mass and the same charge
(2) greater mass and the same charge
(3) the same mass and the opposite charge
(4) greater mass and the opposite charge Answer: 3
Note that question 35 has only three
choices.
35 As viewed from Earth, the light from a star has
lower frequencies than the light emitted by the
star because the star is
(1) moving toward Earth
(2) moving away from Earth
(3) stationary Answer: 2
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 The total work done in lifting a typical high
school physics textbook a vertical distance of
0.10 meter is approximately
(1) 0.15 J (3) 15 J
(2) 1.5 J (4) 150 J Answer: 2
37 Which electrical unit is equivalent to one joule?
(1) volt per meter (3) volt per coulomb
(2) ampere•volt (4) coulomb•volt Answer: 4
38 A small electric motor is used to lift a
0.50kilogram mass at constant speed. If the
mass is lifted a vertical distance of 1.5 meters in
5.0 seconds, the average power developed by the
motor is
(1) 0.15 W (3) 3.8 W
(2) 1.5 W (4) 7.5 W Answer: 2
39 A ball is dropped from the top of a cliff. Which
graph best represents the relationship between
the ball’s total energy and elapsed time as the
ball falls to the ground? [Neglect friction.]
Answer: 4
40 A child, starting from rest at the top of a
playground slide, reaches a speed of 7.0 meters
per second at the bottom of the slide. What is
the vertical height of the slide? [Neglect
friction.]
(1) 0.71 m (3) 2.5 m
(2) 1.4 m (4) 3.5 m Answer: 3
41 The graph below represents the relationship
between the current in a metallic conductor and
the potential difference across the conductor at
constant temperature.
The resistance of the conductor is
(1) 1.0 Ω (3) 0.50 Ω
(2) 2.0 Ω (4) 4.0 Ω Answer: 2
42 A student throws a baseball vertically upward and then catches it. If vertically upward is considered to be
the positive direction, which graph best represents the relationship between velocity and time for the
baseball? [Neglect friction.]
Answer: 4
43 A 5.0kilogram sphere, starting from rest, falls freely 22 meters in 3.0 seconds near the surface of a planet.
Compared to the acceleration due to gravity near Earth’s surface, the acceleration due to gravity near the
surface of the planet is approximately
(1) the same (3) onehalf as great
(2) twice as great (4) four times as great Answer: 3
44 A 15.0kilogram mass is moving at 7.50 meters per second on a horizontal, frictionless surface. What is the
total work that must be done on the mass to increase its speed to 11.5 meters per second?
(1) 120. J (3) 570. J
(2) 422 J (4) 992 J Answer: 3
45 The circuit diagram below represents four resistors connected to a 12volt source.
What is the total current in the circuit?
(1) 0.50 A (3) 8.6 A
(2) 2.0 A (4) 24 A Answer: 1
46 Which graph best represents the relationship between the power expended by a resistor that obeys Ohm’s
Law and the potential difference applied to the resistor?
Answer: 4
47 The distance between an electron and a proton is varied. Which pair of graphs best represents the
relationship between gravitational force, F_{g}, and distance, r, and the relationship between electrostatic
force, F_{e}, and distance, r, for these particles?
Answer: 1
48 The diagram below represents a periodic wave traveling through a uniform medium.
If the frequency of the wave is 2.0 hertz, the speed of the wave is
(1) 6.0 m/s (3) 8.0 m/s
(2) 2.0 m/s (4) 4.0 m/s Answer: 3
49 The diagram below represents a light ray reflecting from a plane mirror.
The angle of reflection for the light ray is
(1) 25° (3) 50.°
(2) 35° (4) 65° Answer: 1
50 The diagram below shows a standing wave in a string clamped at each end.
What is the total number of nodes and antinodes in the standing wave?
(1) 3 nodes and 2 antinodes (3) 5 nodes and 4 antinodes
(2) 2 nodes and 3 antinodes (4) 4 nodes and 5 antinodes Answer: 3
Part B–2
Answer all questions in this part.
Directions (51–60): Record your answers in the spaces provided in your answer booklet.

Base your answers to questions 51 through 53 on the information and graph below.
A machine fired several projectiles at the same angle, θ, above the horizontal. Each
projectile was fired with a different initial velocity, v_{i}. The graph below represents the
relationship between the magnitude of the initial vertical velocity, v_{iy}, and the magnitude
of the corresponding initial velocity, v_{i}, of these projectiles.
Initial Vertical Velocity vs. Initial Velocity
51 Determine the magnitude of the initial vertical velocity of the projectile, v_{iy}, when the magnitude of its
initial velocity, v_{i}, was 40. meters per second. [1] Answer: MODEL ANSWER GIVEN BELOW51 [1] Allow 1 credit for 25 m/s ± 1 m/s.
52 Determine the angle, θ, above the horizontal at which the projectiles were fired. [1] Answer: MODEL ANSWER GIVEN BELOW52 [1] Allow 1 credit for 39° ± 2°.
Note: Allow credit for an answer that is consistent with the student’s response to question 51.
53 Calculate the magnitude of the initial horizontal velocity of the projectile, v_{ix}, when the magnitude of its
initial velocity, v_{i}, was 40. meters per second. [Show all work, including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW53 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Examples of 2credit responses:
Note: Allow credit for an answer that is consistent with the student’s response to question 51 or 52.
54 A student makes a simple pendulum by attaching a mass to the free end of a 1.50meter length of string
suspended from the ceiling of her physics classroom. She pulls the mass up to her chin and releases it from
rest, allowing the pendulum to swing in its curved path. Her classmates are surprised that the mass doesn’t
reach her chin on the return swing, even though she does not move. Explain why the mass does not have
enough energy to return to its starting position and hit the girl on the chin. [1] Answer: MODEL ANSWER GIVEN BELOW54 [1] Allow 1 credit. Acceptable responses include, but are not limited to:
— friction
— Some of the gravitational energy of the mass was converted into internal energy.
Therefore, it could not return to its original height.
— air resistance
55 A 6ohm resistor and a 4ohm resistor are
connected in series with a 6volt battery in an
operating electric circuit. A voltmeter is
connected to measure the potential difference
across the 6ohm resistor.
In the space in your answer booklet, draw a
diagram of this circuit including the battery,
resistors, and voltmeter using symbols from the
Reference Tables for Physical Setting/Physics.
Label each resistor with its value. [Assume the
availability of any number of wires of negligible
resistance.] [2] Answer: MODEL ANSWER GIVEN BELOW55 [2] Allow a maximum of 2 credits, allocated as follows:
• Allow 1 credit for drawing a series circuit containing two resistors and a battery.
• Allow 1 credit for correct placement of the voltmeter.
Example of a 2credit response:
Note: Allow credit even if the student draws a cell instead of a battery and/or labels only one
resistor with its value.
56 When a spring is compressed 2.50 × 10^{–2} meter
from its equilibrium position, the total potential
energy stored in the spring is 1.25 × 10^{–2} joule.
Calculate the spring constant of the spring.
[Show all work, including the equation and
substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW56 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
Base your answers to questions 57 and 58 on the
information below.
A 3.50meter length of wire with a cross
sectional area of 3.14 × 10^{–6} meter^{2} is at
20° Celsius. The current in the wire is
24.0 amperes when connected to a 1.50volt
source of potential difference.
57 Determine the resistance of the wire. [1] Answer: MODEL ANSWER GIVEN BELOW57 [1] Allow 1 credit for 6.25 × 10^{–2} Ω .
58 Calculate the resistivity of the wire. [Show all
work, including the equation and substitution
with units.] [2] Answer: MODEL ANSWER GIVEN BELOW58 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
Note: Allow credit for an answer that is consistent with the student’s response to question 57.
Base your answers to questions 59 and 60 on the
information below.
In an experiment, a 0.028kilogram rubber
stopper is attached to one end of a string. A
student whirls the stopper overhead in a
horizontal circle with a radius of 1.0 meter.
The stopper completes 10. revolutions in
10. seconds.
59 Determine the speed of the whirling stopper. [1] Answer: MODEL ANSWER GIVEN BELOW59 [1] Allow 1 credit for 6.3 m/s.
60 Calculate the magnitude of the centripetal force
on the whirling stopper. [Show all work,
including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW60 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
Note: Allow credit for an answer that is consistent with the student’s response to question 59.
Part C
Answer all questions in this part.
Directions (61–75): Record your answers in the spaces provided in your answer booklet.

Base your answers to questions 61 through 64 on
the information below.
In a laboratory investigation, a student
applied various downward forces to a vertical
spring. The applied forces and the corres
ponding elongations of the spring from its
equilibrium position are recorded in the data
table below.
Data Table
Force (N) Elongation (m)
0 0
0.5 0.010
1.0 0.018
1.5 0.027
2.0 0.035
2.5 0.046
Directions (61–63): Construct a graph on the
grid in your answer booklet, following the
directions below.
61 Mark an appropriate scale on the axis labeled
“Force (N).” [1] Answer: MODEL ANSWER GIVEN BELOW61 [1] Allow 1 credit for an appropriate linear scale.
62 Plot the data points for force versus elongation.
[1] Answer: MODEL ANSWER GIVEN BELOW62 [1] Allow 1 credit for plotting all points accurately ± 0.3 grid space.
63 Draw the bestfit line or curve. [1] Answer: MODEL ANSWER GIVEN BELOW63 [1] Allow 1 credit for drawing the bestfit line or curve consistent with the student’s responses to
questions 61 and 62.
Example of a 3credit graph for questions 61–63:
Force vs. Elongation
64 Using your graph, calculate the spring constant of
this spring. [Show all work, including the
equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW64 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Examples of 2credit responses:
Note: Allow credit for an answer that is consistent with the student’s graph.
The slope may be determined by substitution of values from the data table only if the
data points are on the bestfit line or if the student failed to draw a bestfit line.
Base your answers to questions 65 through 68 on
the information below.
An ice skater applies a horizontal force to a
20.kilogram block on frictionless, level ice,
causing the block to accelerate uniformly at
1.4 meters per second^{2} to the right. After the
skater stops pushing the block, it slides onto a
region of ice that is covered with a thin layer
of sand. The coefficient of kinetic friction
between the block and the sandcovered ice is
0.28.
65 Calculate the magnitude of the force applied to
the block by the skater. [Show all work, including
the equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW65 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
66 On the diagram in your answer booklet, starting
at point A, draw a vector to represent the force
applied to the block by the skater. Begin the
vector at point A and use a scale of
1.0 centimeter = 5.0 newtons. [1] Answer: MODEL ANSWER GIVEN BELOW66 [1] Allow 1 credit for a vector 5.6 cm ± 0.2 cm long parallel to the surface of the ice and pointing to
the right.
Example of a 1credit response:
Note: Allow credit for an answer that is consistent with the student’s response to question 65.
The vector need not start at point A to receive this credit.
67 Determine the magnitude of the normal force
acting on the block. [1] Answer: MODEL ANSWER GIVEN BELOW67 [1] Allow 1 credit for 2.0 × 10^{2} N or 196 N.
68 Calculate the magnitude of the force of friction
acting on the block as it slides over the
sandcovered ice. [Show all work, including the
equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW68 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
Note: Allow credit for an answer that is consistent with the student’s response to question 67.
Base your answers to questions 69 through 71 on
the information and diagram below.
A monochromatic light ray (f = 5.09 × 10^{14} Hz)
traveling in air is incident on the surface of a
rectangular block of Lucite.
69 Measure the angle of incidence for the light ray
to the nearest degree. [1] Answer: MODEL ANSWER GIVEN BELOW69 [1] Allow 1 credit for 50.° ± 2°.
70 Calculate the angle of refraction of the light ray
when it enters the Lucite block. [Show all work,
including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW70 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
Note: Allow credit for an answer that is consistent with the student’s response to question 69.
71 What is the angle of refraction of the light ray as
it emerges from the Lucite block back into air?
[1] Answer: MODEL ANSWER GIVEN BELOW71 [1] Allow 1 credit for 50.°.
Note: Allow credit for an answer that is consistent with the student’s response to question 69 or 70.
Base your answers to questions 72 through 75 on
the information below.
As a mercury atom absorbs a photon of
energy, an electron in the atom changes from
energy level d to energy level e.
72 Determine the energy of the absorbed photon in
electronvolts. [1] Answer: MODEL ANSWER GIVEN BELOW72 [1] Allow 1 credit for 1.24 eV.
73 Express the energy of the absorbed photon in
joules. [1] Answer: MODEL ANSWER GIVEN BELOW73 [1] Allow 1 credit for 1.98 × 10^{−19} J or an answer that is consistent with the student’s response to
question 72.
74 Calculate the frequency of the absorbed photon.
[Show all work, including the equation and
substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW74 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
Note: Allow credit for an answer that is consistent with the student’s response to question 73.
75 Based on your calculated value of the frequency
of the absorbed photon, determine its
classification in the electromagnetic spectrum.
[1] Answer: MODEL ANSWER GIVEN BELOW75 [1] Allow 1 credit for infrared or an answer that is consistent with the student’s response to
question 74.
Try the Quiz : Physical Setting / Physics  New York Regents June 2010 Exam
