Refer to the following information for the next two questions.

Base your answers to **questions 51 through 53 **on the information and diagram below and on your knowledge of physics.

As represented in the diagram below, a constant 15-newton force, F, is applied to a 2.5-kilogram box, accelerating the box to the right at 2.0 meters per second squared across a rough horizontal surface.

51–52. Calculate the magnitude of the net force acting on the box. [Show all work, including the equation and substitution with units.] [2]

53. Determine the magnitude of the force of friction on the box. [1]

Refer to the following information for the next question.

Base your answers to **questions 54 and 55 **on the information and diagram below and on your knowledge of physics.

A ray of light (f = 5.09 × 10^{14} Hz) is traveling through a mineral sample that is submerged in water. The ray refracts as it enters the water, as shown in the diagram below.

54–55. Calculate the absolute index of refraction of the mineral. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next two questions.

Base your answers to **questions 56 through 58 **on the information below and on your knowledge of physics.

A ball is rolled twice across the same level laboratory table and allowed to roll off the table and strike the floor. In each trial, the time it takes the ball to travel from the edge of the table to the floor is accurately measured. [Neglect friction.]

56–57. In trial A, the ball is traveling at 2.50 meters per second when it reaches the edge of the table. The ball strikes the floor 0.391 second after rolling off the edge of the table. Calculate the height of the table. [Show all work, including the equation and substitution with units.] [2]

58. In trial B, the ball is traveling at 5.00 meters per second when it reaches the edge of the table. Compare the time it took the ball to reach the floor in trial B to the time it took the ball to reach the floor in trial A. [1]

Refer to the following information for the next two questions.

Base your answers to **questions 59 through 61 **on the information and diagram below and on your knowledge of physics.

A toy airplane flies clockwise at a constant speed in a horizontal circle of radius 8.0 meters. The magnitude of the acceleration of the airplane is 25 meters per second squared. The diagram shows the path of the airplane as it travels around the circle.

59–60. Calculate the speed of the airplane. [Show all work, including the equation and substitution with units.] [2]

61. State the direction of the velocity of the airplane at the instant the acceleration of the airplane is southward. [1]

Refer to the following information for the next two questions.

Base your answers to **questions 62 through 64 **on the information and graph below and on your knowledge of physics.

The graph below represents the speed of a marble rolling down a straight incline as a function of time.

62. What quantity is represented by the slope of the graph? [1]

63-64.Calculatethedistancethe marbletravels during the first3.0seconds. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next question.

Base your answers to **questions 62 through 64 **on the information and graph below and on your knowledge of physics.

The graph below represents the relationship between weight and mass for objects on the surface of planet X.

Determine the acceleration due to gravity on the surface of planet X. [1]

Refer to the following information for the next four questions.

Directions (66–85): Record your answers in the spaces provided in your answer booklet. Some questions may require the use of the 2006 Edition Reference Tables for Physical Setting/Physics.

Base your answers to **questions 66 through 69 **on the information and vector diagram below and on your knowledge of physics.

A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north. The vectors in the diagram below represent these two displacements.

66. Using a metric ruler, determine the scale used in the vector diagram. [1]

67. On the diagram in your answer booklet, use a ruler to construct the vector representing the hiker’s resultant displacement. [1]

68. Determine the magnitude of the hiker’s resultant displacement. [1]

69. Using a protractor, determine the angle between east and the hiker’s resultant displacement. [1]

Refer to the following information for the next three questions.

Base your answers to **questions 70 through 74 **on the information and diagram below and on your knowledge of physics.

A jack-in-the-box is a toy in which a figure in an open box is pushed down, compressing a spring. The lid of the box is then closed. When the box is opened, the figure is pushed up by the spring. The spring in the toy is compressed 0.070meterby using a downward force of 12.0 newtons.

70–71. Calculate the spring constant of the spring. [Show all work, including the equation and substitution with units.] [2]

72–73. Calculate the total amount of elastic potential energy stored in the spring when it is compressed. [Show all work, including the equation and substitution with units.] [2]

74. Identify one form of energy to which the elastic potential energy of the spring is converted when the figure is pushed up by the spring. [1]

Refer to the following information for the next four questions.

Base your answers to **questions 75 through 80 **on the information below and on your knowledge of physics.

A 12-volt batterycauses 0.60ampereto flowthrough a circuitthatcontains alampand a resistor connected in parallel. The lamp is operating at 6.0 watts.

75. Using the circuit symbols shown on the Reference Tables for Physical Setting/Physics, draw a diagram of the circuit in the space provided in your answer booklet. [1]

76–77. Calculate the current through the lamp. [Show all work, including the equation and substitution with units.] [2]

78. Determine the current in the resistor. [1]

79–80. Calculate the resistance of the resistor. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next four questions.

Base your answers to **questions 81 through 85 **on the information below and on your knowledge of physics.

The Great Nebula in the constellation Orion consists primarily of excited hydrogen gas. Theelectrons in the atoms of excited hydrogen have been raised to higher energy levels. Whentheseatomsreleaseenergy,afrequentelectrontransitionisfromthe excited n = 3 energy level to the n = 2 energy level, which gives the nebula one of its characteristic colors.

81. Determine the energy, in electronvolts, of an emitted photon when an electron transition from n = 3 to n = 2 occurs. [1]

82. Determine the energy of this emitted photon in joules. [1]

83–84. Calculate the frequency of the emitted photon.[Show all work, including the equation and substitution with units.] [2]

85. Identify the color of light associated with this photon. [1]