NY Regents June 2011, Part 3
Refer to the following information for the next question.

A 0.50-kilogram frog is at rest on the bank surrounding a pond of water. As the frog leaps from the bank, the magnitude of the acceleration of the frog is 3.0 meters per second2.
 51.–52. Calculate the magnitude of the net force exerted on the frog as it leaps. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next two questions.

A student and the waxed skis he is wearing have a combined weight of 850 newtons. The skier travels down a snow-covered hill and then glides to the east across a snow-covered, horizontal surface.
 53. Determine the magnitude of the normal force exerted by the snow on the skis as the skier glides across the horizontal surface. [1]

 54.–55. Calculate the magnitude of the force of friction acting on the skis as the skier glides across the snow-covered, horizontal surface. [Show all work, including the equation and substitution with units.] [2]

 56.–57 .Calculate the kinetic energy of a particle with a mass of 3.34 × 10–27 kilogram and a speed of 2.89 × 105 meters per second. [Show all work, including the equation and substitution with units.] [2]

 58. A simple circuit consists of a 100.-ohm resistor connected to a battery. A 25-ohm resistor is to be connected in the circuit. Determine the smallest equivalent resistance possible when both resistors are connected to the battery. [1]

 59. The graph below represents the relationship between the work done by a person and time.     Identify the physical quantity represented by the slope of the graph. [1]

 60.–61. The heating element in an automobile window has a resistance of 1.2 ohms when operated at 12 volts. Calculate the power dissipated in the heating element. [Show all work, including the equation and substitution with units.] [2]

 62.–63. An electromagnetic wave of wavelength 5.89 × 10–7 meter traveling through air is incident on an interface with corn oil. Calculate the wavelength of the electromagnetic wave in corn oil. [Show all work, including the equation and substitution with units.] [2]

 64. The energy required to separate the 3 protons and 4 neutrons in the nucleus of a lithium atom is 39.3 megaelectronvolts. Determine the mass equivalent of this energy, in universal mass units. [1]

 65. A wave generator having a constant frequency produces parallel wave fronts in a tank of water of two different depths. The diagram below represents the wave fronts in the deep water.     As the wave travels from the deep water into the shallow water, the speed of the waves decreases. Use a straightedge to draw at least three lines to represent the wave fronts, with appropriate spacing, in the shallow water. [1]

Refer to the following information for the next four questions.

A model airplane heads due east at 1.50 meters per second, while the wind blows due north at 0.70 meter per second. The scaled diagram below represents these vector quantities.

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

 67. On the diagram use a protractor and a ruler to construct a vector to represent the resultant velocity of the airplane. Label the vector R. [1]

 68. Determine the magnitude of the resultant velocity. [1]

 69. Determine the angle between north and the resultant velocity. [1]

Refer to the following information for the next two questions.

A vertically hung spring has a spring constant of 150. newtons per meter. A 2.00-kilogram mass is suspended from the spring and allowed to come to rest.
 70.–71. Calculate the elongation of the spring produced by the suspended 2.00-kilogram mass. [Show all work, including the equation and substitution with units.] [2]

 72.–73. Calculate the total elastic potential energy stored in the spring due to the suspended 2.00-kilogram mass. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next two questions.

A circuit contains a 12.0-volt battery, an ammeter, a variable resistor, and connecting wires of negligible resistance, as shown below.

The variable resistor is a nichrome wire, maintained at 20.°C. The length of the nichrome wire may be varied from 10.0 centimeters to 90.0 centimeters. The ammeter reads 2.00 amperes when the length of the wire is 10.0 centimeters.
 74. Determine the resistance of the 10.0-centimeter length of nichrome wire.  [1]

 75.–76. Calculate the cross-sectional area of the nichrome wire.  [Show all work, including the equation and substitution with units.]   [2]

Refer to the following information for the next three questions.

A photon with a wavelength of 2.29 x 10–7 meter strikes a mercury atom in the ground state.
 77.–78. Calculate the energy, in joules, of this photon. [Show all work, including the equation and substitution with units.] [2]

 79. Determine the energy, in electronvolts, of this photon.   [1]

 80. Based on your answer to question 79, state if this photon can be absorbed by the mercury atom. Explain your answer.  [1]

Refer to the following information for the next three questions.

A ray of monochromatic light (f = 5.09 x 1014  Hz) passes through air and a rectangular
transparent block, as shown in the diagram below.

 81. Using a protractor, determine the angle of incidence of the light ray as it enters the transparent block from air.   [1]

 82.–83. Calculate the absolute index of refraction for the medium of the transparent block.  [Show all work, including the equation and substitution with units.]   [2]

 84.–85. Calculate the speed of the light ray in the transparent block.  [Show all work, including the equation and substitution with units.]   [2]