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Physical Setting / Physics - New York Regents June 2009 Exam

Formats Worksheet / Test Paper Quiz Review

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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, FH, and the vertical
  component, FV, of a 24-newton force acting at
  35° above the horizontal.
What are the magnitudes of the horizontal and
vertical components?
(1) FH = 3.5 N and FV = 4.9 N
(2) FH = 4.9 N and FV = 3.5 N
(3) FH = 14  N and FV = 20. N
(4) FH = 20. N and FV = 14 N
Answer: 4

3.
3 Which quantity is a vector?
  (1) impulse              (3) speed
  (2) power                (4) time
Answer: 1


4.
4 A high-speed train in Japan travels a distance of
  300. kilometers in 3.60 × 103 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 25-newton 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 go-cart travels around a flat, horizontal,
   circular track with a radius of 25 meters. The
   mass of the go-cart with the rider is
   200. kilograms. The magnitude of the maximum
   centripetal force exerted by the track on the
   go-cart is 1200. newtons.
  7 What is the maximum speed the 200.-kilogram
    go-cart 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 go-cart could travel without
  sliding off this track?
  (1) Decrease the coefficient of friction between
       the go-cart and the track.
  (2) Decrease the radius of the track.
  (3) Increase the radius of the track.
  (4) Increase the mass of the go-cart.
Answer: 3

9.
9 A 0.50-kilogram 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, F1 and F2, 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 second2, 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 2.00-kilogram 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 Fg and electrostatic force Fe 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) cross-sectional area
   (2) length                 (4) resistivity
Answer: 3

19.
19 In a simple electric circuit, a 24-ohm resistor is
   connected across a 6.0-volt 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
   120-volt outlet. What is the total electrical energy
   used by the lamp in 60. seconds?
   (1) 0.60 J                 (3) 6.0 × 103 J
   (2) 1.7 J                  (4) 7.2 × 103 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 × 105 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 × 1019 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 energy-level
       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 × 108 meters, the magnitude of
   the gravitational force of attraction between
   them is 2.0 × 1020 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 × 108 meters?
   (1) 5.0 × 1019 N           (3) 4.0 × 1020 N
   (2) 2.0 × 1020 N           (4) 8.0 × 1020 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 6.0-second time interval.
                  Velocity vs. Time
37 What is the acceleration of the car at
   t = 5.0 seconds?
   (1) 0.0 m/s2        (3) 2.5 m/s2
   (2) 2.0 m/s2        (4) 10. m/s2
Answer: 1

38.
38 What is the total distance traveled by the car
   during this 6.0-second 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 × 101 N            (3) 1.2 × 103 N
   (2) 5.9 × 102 N            (4) 2.4 × 103 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 3.0-ohm resistor and a 6.0-ohm resistor are
   connected in series in an operating electric
   circuit. If the current through the 3.0-ohm
   resistor is 4.0 amperes, what is the potential
   difference across the 6.0-ohm 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 BELOW
48 [1] Allow 1 credit for 5.66 m.


49.
49 A 70-kilogram hockey player skating east on an
   ice rink is hit by a 0.1-kilogram hockey puck
   moving toward the west. The puck exerts a
   50-newton 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 BELOW
49 [1] Allow 1 credit for 50 N.


50.
50 On a snow-covered road, a car with a mass of
   1.1 × 103 kilograms collides head-on with a van
   having a mass of 2.5 × 103 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 BELOW
50 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Examples of 2-credit 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 BELOW
51 [2]   Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
52 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
53 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
54 [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 1-credit 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 BELOW
55 [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 2-credit 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 BELOW
56 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
57 [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 BELOW
58 [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 BELOW
59 [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 BELOW
60 [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 BELOW
61 [1] Allow 1 credit for 4.9 m/s.


62.
62 Calculate the magnitude of the vertical displacement, dy, 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 BELOW
62 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 × 105 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 BELOW
63 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
64 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
65 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 5.0-kilogram 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 BELOW
66 [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 BELOW
67 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 × 1014 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 BELOW
68 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in this rating guide.
         Example of a 2-credit 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 BELOW
69 [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 × 1014 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 BELOW
Note: 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 BELOW
71 [2] Allow a maximum of 2 credits. Refer to Scoring Criteria for Calculations in the rating guide.
         Example of a 2-credit response:
         Ephoton = hf
         Ephoton = (6.63 x 1034 J.s) (5.48 x 1014 Hz)
         Ephoton = 3.63 x 1019 J


72.
72 Determine the energy of this photon in electronvolts. [1]
Answer: MODEL ANSWER GIVEN BELOW
72 [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.



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