NY Regents June 2014, Part 3
Refer to the following information for the next four questions.

Two forces, a 60.-newton force east and an 80.-newton force north, act concurrently on an object located at point P, as shown.

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

 52. Draw the resultant force vector to scale on the diagram in your answer booklet. Label the vector “R.” [1]

 53. Determine the magnitude of the resultant force, R. [1]

 54. Determine the measure of the angle, in degrees, between north and the resultant force, R. [1]

Refer to the following information for the next question.

A 3.00-newton force causes a spring to stretch 60.0 centimeters.
 55-56. Calculate the spring constant of this spring. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next question.

A 7.28-kilogram bowling ball traveling 8.50 meters per second east collides head-on with a 5.45 kilogram bowling ball traveling 10.0 meters per second west.
 57. Determine the magnitude of the total momentum of the two-ball system after the collision. [1]

 58.–59. Calculate the average power required to lift a 490-newton object a vertical distance of 2.0 meters in 10. seconds. [Show all work, including the equation and substitution with units.] [2]

 60. The diagram in your answer booklet shows wave fronts approaching an opening in a barrier. The size of the opening is approximately equal to one-half the wavelength of the waves.     Draw the shape of at least three of the wave fronts after they have passed through this opening. [1

 61. The diagram in your answer booklet shows a mechanical transverse wave traveling to the right in a medium. Point A represents a particle in the medium.     Draw an arrow originating at point A to indicate the initial direction that the particle will move as the wave continues to travel to the right in the medium. [1]

 62. Regardless of the method used to generate electrical energy, the amount of energy provided by the source is always greater than the amount of electrical energy produced. Explain why there is a difference between the amount of energy provided by the source and the amount of electrical energy produced. [1]

Refer to the following information for the next three questions.

Base your answers to questions 63 through 65 on the graph below, which represents the relationship between velocity and time for a car moving along a straight line, and your knowledge of physics.

 63. Determine the magnitude of the average velocity of the car from t = 6.0 seconds to t = 10. seconds. [1]

 64. Determine the magnitude of the car’s acceleration during the first 6.0 seconds. [1]

 65. Identify the physical quantity represented by the shaded area on the graph. [1]

Refer to the following information for the next four questions.

A student constructed a series circuit consisting of a 12.0-volt battery, a 10.0-ohm lamp, and a resistor. The circuit does not contain a voltmeter or an ammeter. When the circuit is operating, the total current through the circuit is 0.50 ampere.
 66. In the space in your answer booklet, draw a diagram of the series circuit constructed to operate the lamp, using symbols from the Reference Tables for Physical Setting/Physics.  [1]

 67. Determine the equivalent resistance of the circuit.  [1]

 68. Determine the resistance of the resistor.  [1]

 69.–70. Calculate the power consumed by the lamp. [Show all work, including the equation and substitution with the units.]   [2]

Refer to the following information for the next three questions.

Pluto orbits the Sun at an average distance of 5.91 x 1012 meters. Pluto’s diameter is 2.30 x 106 meters and its mass is 1.31 x 1022 kilograms. Charon orbits Pluto with their centers separated by a distance of 1.96 x 107 meters. Charon has a diameter of 1.21 x 106 meters and a mass of 1.55 x 1021 kilograms.
 71.–72. Calculate the magnitude of the gravitational force of attraction that Pluto exerts on Charon. [Show all work, including the equation and substitution with units.]   [2]

 73.–74. Calculate the magnitude of the acceleration of Charon toward Pluto. [Show all work, including the equation and substitution with units.]   [2]

 75. State the reason why the magnitude of the Sun’s gravitational force on Pluto is greater than the magnitude of the Sun’s gravitational force on Charon.   [1]

Refer to the following information for the next three questions.

A horizontal 20.-newton force is applied to a 5.0-kilogram box to push it across a rough, horizontal floor at a constant velocity of 3.0 meters per second to the right.
 76. Determine the magnitude of the force of friction acting on the box.  [1]

 77.–78. Calculate the weight of the box. [Show all work, including the equation and substitution with units.] [2]

 79.–80. Calculate the coefficient of kinetic friction between the box and the floor. [Show all work, including the equation and substitution with units]   [2]

Refer to the following information for the next four questions.

An electron traveling with a speed of 2.50 x 106 meters per second collides with a photon having a frequency of 1.00 x1016 hertz. After the collision, the photon has 3.18 x 10-18 joule of energy.
 81.–82. Calculate the original kinetic energy of the electron. [Show all work, including the equation and substitution with units.]   [2]

 83. Determine the energy in joules of the photon before the collision.  [1]

 84. Determine the energy lost by the photon during the collision.  [1]

 85. Name two physical quantities conserved in the collision.   [1]