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

1. 1 On a highway, a car is driven 80. kilometers
during the first 1.00 hour of travel,
50. kilometers during the next 0.50 hour, and
40. kilometers in the final 0.50 hour. What is the
car’s average speed for the entire trip?
(1) 45 km/h (3) 85 km/h
(2) 60. km/h (4) 170 km/h Answer: 3
2. 2 The vector diagram below represents the
horizontal component, F_{H}, and the vertical
component, F_{V}, of a 24newton force acting at
35° above the horizontal.
What are the magnitudes of the horizontal and
vertical components?
(1) F_{H} = 3.5 N and F_{V} = 4.9 N
(2) F_{H} = 4.9 N and F_{V} = 3.5 N
(3) F_{H} = 14 N and F_{V} = 20. N
(4) F_{H} = 20. N and F_{V} = 14 N Answer: 4
3. 3 Which quantity is a vector?
(1) impulse (3) speed
(2) power (4) time Answer: 1
4. 4 A highspeed train in Japan travels a distance of
300. kilometers in 3.60 × 10^{3} seconds. What is
the average speed of this train?
(1) 1.20 × 10^{–2} m/s (3) 12.0 m/s
(2) 8.33 × 10^{–2} m/s (4) 83.3 m/s Answer: 4
5. 5 A 25newton weight falls freely from rest from
the roof of a building. What is the total distance
the weight falls in the first 1.0 second?
(1) 19.6 m (3) 4.9 m
(2) 9.8 m (4) 2.5 m Answer: 3
6. 6 A golf ball is given an initial speed of 20. meters
per second and returns to level ground. Which
launch angle above level ground results in the
ball traveling the greatest horizontal distance?
[Neglect friction.]
(1) 60.° (3) 30.°
(2) 45° (4) 15° Answer: 2
7. Base your answers to questions 7 and 8 on the
information below.
A gocart travels around a flat, horizontal,
circular track with a radius of 25 meters. The
mass of the gocart with the rider is
200. kilograms. The magnitude of the maximum
centripetal force exerted by the track on the
gocart is 1200. newtons.
7 What is the maximum speed the 200.kilogram
gocart can travel without sliding off the track?
(1) 8.0 m/s (3) 150 m/s
(2) 12 m/s (4) 170 m/s Answer: 2
8. 8 Which change would increase the maximum
speed at which the gocart could travel without
sliding off this track?
(1) Decrease the coefficient of friction between
the gocart and the track.
(2) Decrease the radius of the track.
(3) Increase the radius of the track.
(4) Increase the mass of the gocart. Answer: 3
9. 9 A 0.50kilogram cart is rolling at a speed of
0.40 meter per second. If the speed of the cart is
doubled, the inertia of the cart is
(1) halved (3) quadrupled
(2) doubled (4) unchanged Answer: 4
10. 10 Two forces, F_{1} and F_{2}, are applied to a block on a
frictionless, horizontal surface as shown below.
If the magnitude of the block’s acceleration is
2.0 meters per second^{2}, what is the mass of the
block?
(1) 1 kg (3) 6 kg
(2) 5 kg (4) 7 kg Answer: 2
11. 11 Which body is in equilibrium?
(1) a satellite orbiting Earth in a circular orbit
(2) a ball falling freely toward the surface of
Earth
(3) a car moving with a constant speed along a
straight, level road
(4) a projectile at the highest point in its trajectory Answer: 3
12. 12 What is the weight of a 2.00kilogram object on
the surface of Earth?
(1) 4.91 N (3) 9.81 N
(2) 2.00 N (4) 19.6 N Answer: 4
13. 13 A 70.kilogram cyclist develops 210 watts of
power while pedaling at a constant velocity of
7.0 meters per second east. What average force is
exerted eastward on the bicycle to maintain this
constant speed?
(1) 490 N (3) 3.0 N
(2) 30. N (4) 0 N Answer: 2
14. 14 The gravitational potential energy, with respect
to Earth, that is possessed by an object is
dependent on the object’s
(1) acceleration (3) position
(2) momentum (4) speed Answer: 3
15. Note that question 15 has only three choices.
15 As a ball falls freely toward the ground, its total
mechanical energy
(1) decreases
(2) increases
(3) remains the same Answer: 3
16. 16 A spring with a spring constant of 4.0 newtons
per meter is compressed by a force of
1.2 newtons. What is the total elastic potential
energy stored in this compressed spring?
(1) 0.18 J (3) 0.60 J
(2) 0.36 J (4) 4.8 J Answer: 1
17. 17 A distance of 1.0 meter separates the centers of
two small charged spheres. The spheres exert
gravitational force F_{g} and electrostatic force F_{e} on
each other. If the distance between the spheres’
centers is increased to 3.0 meters, the
gravitational force and electrostatic force,
respectively, may be represented as
Answer: 1
18. 18 The electrical resistance of a metallic conductor
is inversely proportional to its
(1) temperature (3) crosssectional area
(2) length (4) resistivity Answer: 3
19. 19 In a simple electric circuit, a 24ohm resistor is
connected across a 6.0volt battery. What is the
current in the circuit?
(1) 1.0 A (3) 140 A
(2) 0.25 A (4) 4.0 A Answer: 2
20. 20 An operating 100.watt lamp is connected to a
120volt outlet. What is the total electrical energy
used by the lamp in 60. seconds?
(1) 0.60 J (3) 6.0 × 10^{3} J
(2) 1.7 J (4) 7.2 × 10^{3} J Answer: 3
21. 21 A beam of electrons is directed into the electric
field between two oppositely charged parallel
plates, as shown in the diagram below.
The electrostatic force exerted on the electrons
by the electric field is directed
(1) into the page
(2) out of the page
(3) toward the bottom of the page
(4) toward the top of the page Answer: 4
22. 22 When two ring magnets are placed on a pencil,
magnet A remains suspended above magnet B,
as shown below.
Which statement describes the gravitational
force and the magnetic force acting on magnet A
due to magnet B?
(1) The gravitational force is attractive and the
magnetic force is repulsive.
(2) The gravitational force is repulsive and the
magnetic force is attractive.
(3) Both the gravitational force and the mag
netic force are attractive.
(4) Both the gravitational force and the mag
netic force are repulsive. Answer: 1
23. 23 Which color of light has a wavelength of
5.0 × 10^{–7} meter in air?
(1) blue (3) orange
(2) green (4) violet Answer: 2
24. 24 Which type of wave requires a material medium
through which to travel?
(1) sound (3) television
(2) radio (4) x ray Answer: 1
25. 25 A periodic wave is produced by a vibrating
tuning fork. The amplitude of the wave would be
greater if the tuning fork were
(1) struck more softly
(2) struck harder
(3) replaced by a lower frequency tuning fork
(4) replaced by a higher frequency tuning fork Answer: 2
26. 26 The sound wave produced by a trumpet has a
frequency of 440 hertz. What is the distance
between successive compressions in this sound
wave as it travels through air at STP?
(1) 1.5 × 10^{–6} m (3) 1.3 m
(2) 0.75 m (4) 6.8 × 10^{5} m Answer: 2
27. 27 The diagram below represents a light ray striking
the boundary between air and glass.
What would be the angle between this light ray
and its reflected ray?
(1) 30.° (3) 120.°
(2) 60.° (4) 150.° Answer: 3
28. 28 In which way does blue light change as it travels
from diamond into crown glass?
(1) Its frequency decreases.
(2) Its frequency increases.
(3) Its speed decreases.
(4) Its speed increases. Answer: 4
29. 29 The diagram below shows two pulses
approaching each other in a uniform medium.
Which diagram best represents the super
position of the two pulses?
Answer: 2
30. 30 Sound waves strike a glass and cause it to shatter.
This phenomenon illustrates
(1) resonance (3) reflection
(2) refraction (4) diffraction Answer: 1
31. 31 An alpha particle consists of two protons and two
neutrons. What is the charge of an alpha particle?
(1) 1.25 × 10^{19} C (3) 6.40 × 10^{–19} C
(2) 2.00 C (4) 3.20 × 10^{–19} C Answer: 4
32. 32 An electron in the c level of a mercury atom
returns to the ground state. Which photon
energy could not be emitted by the atom during
this process?
(1) 0.22 eV (3) 4.86 eV
(2) 4.64 eV (4) 5.43 eV Answer: 4
33. 33 Which phenomenon provides evidence that light
has a wave nature?
(1) emission of light from an energylevel
transition in a hydrogen atom
(2) diffraction of light passing through a narrow
opening
(3) absorption of light by a black sheet of paper
(4) reflection of light from a mirror Answer: 2
34. 34 When Earth and the Moon are separated by a
distance of 3.84 × 10^{8} meters, the magnitude of
the gravitational force of attraction between
them is 2.0 × 10^{20} newtons. What would be the
magnitude of this gravitational force of attraction
if Earth and the Moon were separated by a
distance of 1.92 × 10^{8} meters?
(1) 5.0 × 10^{19} N (3) 4.0 × 10^{20} N
(2) 2.0 × 10^{20} N (4) 8.0 × 10^{20} N Answer: 4
35. 35 The particles in a nucleus are held together
primarily by the
(1) strong force (3) electrostatic force
(2) gravitational force (4) magnetic force Answer: 1
Part B–1
Answer all questions in this part.
Directions (36–47): For each statement or question, write on the separate answer sheet the number of the
word or expression that, of those given, best completes the statement or answers the question.

36. 36 The work done in lifting an apple one meter
near Earth’s surface is approximately
(1) 1 J (3) 100 J
(2) 0.01 J (4) 1000 J Answer: 1
37. Base your answers to questions 37 and 38 on the
graph below, which represents the motion of a car
during a 6.0second time interval.
Velocity vs. Time
37 What is the acceleration of the car at
t = 5.0 seconds?
(1) 0.0 m/s^{2} (3) 2.5 m/s^{2}
(2) 2.0 m/s^{2} (4) 10. m/s^{2} Answer: 1
38. 38 What is the total distance traveled by the car
during this 6.0second interval?
(1) 10. m (3) 40. m
(2) 20. m (4) 60. m Answer: 3
39. 39 A person weighing 785 newtons on the surface
of Earth would weigh 298 newtons on the
surface of Mars. What is the magnitude of the
gravitational field strength on the surface of
Mars?
(1) 2.63 N/kg (3) 6.09 N/kg
(2) 3.72 N/kg (4) 9.81 N/kg Answer: 2
40. 40 A motorcycle being driven on a dirt path hits a
rock. Its 60.kilogram cyclist is projected over
the handlebars at 20. meters per second into a
haystack. If the cyclist is brought to rest in
0.50 second, the magnitude of the average force
exerted on the cyclist by the haystack is
(1) 6.0 × 10^{1} N (3) 1.2 × 10^{3} N
(2) 5.9 × 10^{2} N (4) 2.4 × 10^{3} N Answer: 4
41. Base your answers to questions 41 and 42 on the
information below.
A boy pushes his wagon at constant speed
along a level sidewalk. The graph below rep
resents the relationship between the horizontal
force exerted by the boy and the distance the
wagon moves.
41 What is the total work done by the boy in
pushing the wagon 4.0 meters?
(1) 5.0 J (3) 120 J
(2) 7.5 J (4) 180 J Answer: 3
42. 42 As the boy pushes the wagon, what happens to
the wagon’s energy?
(1) Gravitational potential energy increases.
(2) Gravitational potential energy decreases.
(3) Internal energy increases.
(4) Internal energy decreases. Answer: 3
43. 43 Which is an SI unit for work done on an object?
Answer: 1
44. 44 The momentum of a photon, p, is given by the
equation p = h/λ where h is Planck’s constant and
λ is the photon’s wavelength. Which equation
correctly represents the energy of a photon in
terms of its momentum?
Answer: 4
45. 45 A constant potential difference is applied across
a variable resistor held at constant temperature.
Which graph best represents the relationship
between the resistance of the variable resistor
and the current through it?
Answer: 1
46. 46 A 3.0ohm resistor and a 6.0ohm resistor are
connected in series in an operating electric
circuit. If the current through the 3.0ohm
resistor is 4.0 amperes, what is the potential
difference across the 6.0ohm resistor?
(1) 8.0 V (3) 12 V
(2) 2.0 V (4) 24 V Answer: 4
47. 47 Which combination of resistors has the smallest
equivalent resistance?
Answer: 3
Part B–2
Answer all questions in this part.
Directions (48–59): Record your answers in the spaces provided in your answer booklet.

48. 48 A cart travels 4.00 meters east and then
4.00 meters north. Determine the magnitude of
the cart’s resultant displacement. [1] Answer: MODEL ANSWER GIVEN BELOW48 [1] Allow 1 credit for 5.66 m.
49. 49 A 70kilogram hockey player skating east on an
ice rink is hit by a 0.1kilogram hockey puck
moving toward the west. The puck exerts a
50newton force toward the west on the player.
Determine the magnitude of the force that the
player exerts on the puck during this collision.
[1] Answer: MODEL ANSWER GIVEN BELOW49 [1] Allow 1 credit for 50 N.
50. 50 On a snowcovered road, a car with a mass of
1.1 × 10^{3} kilograms collides headon with a van
having a mass of 2.5 × 10^{3} kilograms traveling at
8.0 meters per second. As a result of the
collision, the vehicles lock together and
immediately come to rest. Calculate the speed of
the car immediately before the collision.
[Neglect friction.] [Show all work, including the
equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW50 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Examples of 2credit responses:
51. 51 A baby and stroller have a total mass of
20. kilograms. A force of 36 newtons keeps the
stroller moving in a circular path with a radius of
5.0 meters. Calculate the speed at which the
stroller moves around the curve. [Show all work,
including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW51 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
52. 52 A 10.newton force compresses a spring
0.25 meter from its equilibrium position.
Calculate the spring constant of this spring.
[Show all work, including the equation and
substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW52 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
53. 53 Two oppositely charged parallel metal plates,
1.00 centimeter apart, exert a force with a
magnitude of 3.60 × 10^{–15} newton on an electron
placed between the plates. Calculate the
magnitude of the electric field strength between
the plates. [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.
Example of a 2credit response:
54. 54 On the diagram in your answer booklet, sketch
at least four electric field lines with arrowheads
that represent the electric field around a
negatively charged conducting sphere. [1] Answer: MODEL ANSWER GIVEN BELOW54 [1] Allow 1 credit for at least four straight lines drawn perpendicular to the surface of the sphere
with each line having an arrowhead directed toward the sphere and ending within 0.2 cm of the
sphere.
Example of a 1credit response:
Note: Allow credit even if the lines are not drawn symmetrically.
55. 55 In the space in your answer booklet, draw a
diagram of an operating circuit that includes:
• a battery as a source of potential difference
• two resistors in parallel with each other
• an ammeter that reads the total current in the
circuit [2] Answer: MODEL ANSWER GIVEN BELOW55 [2] Allow a maximum of 2 credits, allocated as follows:
• Allow 1 credit for two resistors connected in parallel with the battery (or cell) in a complete
circuit.
• Allow 1 credit for an ammeter connected in the circuit to measure the total current.
Example of a 2credit response:
Note: Allow credit for lines not touching the battery if the distance from the lines to the battery
is ≤ the distance between the battery symbol lines.
56. 56 Calculate the resistance of a 900.watt toaster
operating at 120 volts. [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:
57. 57 A student and a physics teacher hold opposite
ends of a horizontal spring stretched from west
to east along a tabletop. Identify the directions
in which the student should vibrate the end of
the spring to produce transverse periodic waves.
[1] Answer: MODEL ANSWER GIVEN BELOW57 [1] Allow 1 credit. Acceptable responses include, but are not limited to:
— north and south
— up and down
— perpendicular to spring
— left and right
Note: Do not allow credit for back and forth or east and west.
58. Base your answers to questions 58 and 59 on the information and diagram below.
The vertical lines in the diagram represent compressions in a sound wave of constant
frequency propagating to the right from a speaker toward an observer at point A.
58 Determine the wavelength of this sound wave. [1] Answer: MODEL ANSWER GIVEN BELOW58 [1] Allow 1 credit for 1.5 m.
59. 59 The speaker is then moved at constant speed toward the observer at A. Compare the wavelength of the
sound wave received by the observer while the speaker is moving to the wavelength observed when the
speaker was at rest. [1] Answer: MODEL ANSWER GIVEN BELOW59 [1] Allow 1 credit for indicating that the wavelength is shorter while the speaker is moving or for
an answer that is consistent with the student’s response to question 58.
Part C
Answer all questions in this part.
Directions (60–72): Record your answers in the spaces provided in your answer booklet.

60. Base your answers to questions 60 through 62 on the information below.
The path of a stunt car driven horizontally off a cliff is represented in the diagram
below. After leaving the cliff, the car falls freely to point A in 0.50 second and to point B in
1.00 second.
60 Determine the magnitude of the horizontal component of the velocity of the car at point B. [Neglect
friction.] [1] Answer: MODEL ANSWER GIVEN BELOW60 [1] Allow 1 credit for 16 m/s.
61. 61 Determine the magnitude of the vertical velocity of the car at point A. [1] Answer: MODEL ANSWER GIVEN BELOW61 [1] Allow 1 credit for 4.9 m/s.
62. 62 Calculate the magnitude of the vertical displacement, d_{y}, of the car from point A to point B. [Neglect
friction.] [Show all work, including the equation and substitution with units.] [2] Answer: MODEL ANSWER GIVEN BELOW62 [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 61.
63. Base your answers to questions 63 through 65 on the information below.
A roller coaster car has a mass of 290. kilograms. Starting from rest, the car acquires
3.13 × 10^{5} joules of kinetic energy as it descends to the bottom of a hill in 5.3 seconds.
63 Calculate the height of the hill. [Neglect friction.] [Show all work, including the equation and substitution
with units.] [2] Answer: MODEL ANSWER GIVEN BELOW63 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
64. 64 Calculate the speed of the roller coaster car at the bottom of the hill. [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.
Example of a 2credit response:
65. 65 Calculate the magnitude of the average acceleration of the roller coaster car as it descends to the bottom
of the hill. [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. Base your answers to questions 66 and 67 on the information below.
One end of a rope is attached to a variable speed drill and the other end is attached to
a 5.0kilogram mass. The rope is draped over a hook on a wall opposite the drill. When the
drill rotates at a frequency of 20.0 Hz, standing waves of the same frequency are set up in
the rope. The diagram below shows such a wave pattern.
66 Determine the wavelength of the waves producing the standing wave pattern. [1] Answer: MODEL ANSWER GIVEN BELOW66 [1] Allow 1 credit for 3.0 m or 3 m.
67. 67 Calculate the speed of the wave in the rope. [Show all work, including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW67 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
Example of a 2credit response:
v = fλ
v = (20.0 Hz) (3.0 m)
v = 60. m/s
Note: Allow credit for an answer that is consistent with the student’s response to question 66.
68. Base your answers to questions 68 and 69 on the information below.
A ray of monochromatic light ( f = 5.09 × 10^{14} Hz) passes from air into Lucite at an angle
of incidence of 30.˚.
68 Calculate the angle of refraction in the Lucite. [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:
69. 69 Using a protractor and straightedge, on the diagram in your answer booklet, draw the refracted ray in the
Lucite. [1] Answer: MODEL ANSWER GIVEN BELOW69 [1] Allow 1 credit for a response correctly showing the refracted ray at 19° ± 2° to the normal.
Example of a 1 credit response:
Note: Allow credit even if the arrowhead is missing.
Allow credit for an answer that is consistent with the student’s response to question 68.
70. Base your answers to questions 70 through 72 on the information below.
A photon with a frequency of 5.48 × 10^{14} hertz is emitted when an electron in a
mercury atom falls to a lower energy level.
70 Identify the color of light associated with this photon. [1] Answer: MODEL ANSWER GIVEN BELOWNote: Allow credit for an answer that is consistent with the student’s response to question 64.
70 [1] Allow 1 credit for green.
71. 71 Calculate the energy of this photon in joules. [Show all work, including the equation and substitution with
units.] [2] Answer: MODEL ANSWER GIVEN BELOW71 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in the rating guide.
Example of a 2credit response:
E_{photon} = hf
E_{photon} = (6.63 x 10^{34} J.s) (5.48 x 10^{14} Hz)
E_{photon} = 3.63 x 10^{19} J
72. 72 Determine the energy of this photon in electronvolts. [1] Answer: MODEL ANSWER GIVEN BELOW72 [1] Allow 1 credit for 2.27 eV.
Note: Allow credit for an answer that is consistent with the student’s response to question 71.
Try the Quiz : Physical Setting / Physics  New York Regents June 2009 Exam
