PhysicsLAB NY Regents
January 2008, Part 4

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Base your answers to questions 63 through 66 on the information and data table below.
A 1.00-kilogram mass was dropped from rest from a height of 25.0 meters above Earth’s surface. The speed of the mass was determined at 5.0-meter intervals and recorded in the data table below.
Using the information in the data table, construct a graph on the grid provided. Then pay attention to the directions given in the next four questions.
63. Mark an appropriate scale on the axis labeled “Height Above Earth’s Surface (m)." 

64. Plot the data points for speed versus height above Earth’s surface. 

65. Draw the line or curve of best fit. 

66. Using your graph, determine the speed of the mass after it has fallen a vertical distance of 12.5 meters. 

67. An electric circuit contains a source of potential difference and 5-ohm resistors that combine to give the circuit an equivalent resistance of 15 ohms. In the space in your answer booklet, draw a diagram of this circuit using circuit symbols given in the Reference Tables for Physical Setting/Physics. You may assume the availability of any number of 5-ohm resistors and wires of negligible resistance. 

68. The diagram below represents a periodic transverse wave traveling in a uniform medium.
Sketch in a wave having both a smaller amplitude and the same wavelength as the given wave. 

Base your answers to questions 69 and 70 on the information and diagram below.
A 1.50 × 10–6-meter-long segment of an electromagnetic wave having a frequency of 6.00 × 1014 hertz is represented below.
69. On the diagram mark two points on the wave that are in-phase with each other. Label each point with the letter P. 

70. According to the Reference Tables for Physical Setting/Physics, which type of electromagnetic wave does the segment in the diagram represent? 

Base your answers to questions 71 and 72 on the information below.
A 747 jet, traveling at a velocity of 70. meters per second north, touches down on a runway. The jet slows to rest at the rate of 2.0 meters per second2.
71. Calculate the total distance the jet travels on the runway as it is brought to rest. Show all work, including the equation and substitution with units. 

72. On the diagram, point P represents the position of the jet on the runway. Beginning at point P, draw a vector to represent the magnitude and direction of the acceleration of the jet as it comes to rest. Use a scale of 1.0 centimeter = 0.50 meter/second2.

Base your answers to questions 73 and 74 on the information below.
Io (pronounced “EYE oh”) is one of Jupiter’s moons discovered by Galileo. Io is slightly larger than Earth’s Moon. The mass of Io is 8.93 × 1022 kilograms and the mass of Jupiter is 1.90 × 1027 kilograms. The distance between the centers of Io and Jupiter is 4.22 × 108 meters.
73. Calculate the magnitude of the gravitational force of attraction that Jupiter exerts on Io. Show all work, including the equation and substitution with units. 

74. Calculate the magnitude of the acceleration of Io due to the gravitational force exerted by Jupiter. Show all work, including the equation and substitution with units. 

Base your answers to questions 75 and 76 on the information below.
In a mercury atom, as an electron moves from energy level i to energy level a, a single photon is emitted.
75. Determine the energy, in electronvolts, of this emitted photon. 

76. Determine this photon’s energy, in joules. 

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