Refer to the following information for the next two questions.
A toy launcher that is used to launch small plastic spheres horizontally contains a spring with a spring constant of 50. newtons per meter. The spring is compressed a distance of 0.10 meter when the launcher is ready to launch a plastic sphere.
51. Determine the elastic potential energy stored in the spring when the launcher is ready to launch a plastic sphere. [1]
52.-53. The spring is released and a 0.10-kilogram plastic sphere is fired from the launcher. Calculate the maximum speed with which the plastic sphere will be launched. [Neglect friction.] [Show all work, including the equation and substitution with units.] [2]
The next two questions stand independently.
54. Two 10.-ohm resistors have an equivalent resistance of 5.0 ohms when connected in an electric circuit with a source of potential difference. Using circuit symbols found in the Reference Tables for Physical Setting/Physics, draw a diagram of this circuit. [1]
55. The graph below shows the relationship between distance, d, and time, t, for a moving object. On the axes in your answer booklet, sketch the general shape of the graph that shows the relationship between the magnitude of the velocity, v, and time, t, for the moving object. [1]
Refer to the following information for the next two questions.
A ray of monochromatic light (f = 5.09 × 1014 Hz) passes from medium X into air. The angle of incidence of the ray in medium X is 25°, as shown.
56 Using a protractor, measure and record the angle of refraction in the air, to the nearest degree. [1]
57.-58. Calculate the absolute index of refraction of medium X. [Show all work, including the equation and substitution with units.] [2]
The next four questions stand independently.
59.–60. A student wishes to record a 7.5-kilogram watermelon colliding with the ground. Calculate how far the watermelon must fall freely from rest so it would be traveling at 29 meters per second the instant it hits the ground. [Show all work, including the equation and substitution with units.] [2]
61.-62. As represented in the diagram below, block A with a mass of 100. grams slides to the right at 4.0 meters per second and hits stationary block B with a mass of 150. grams. After the collision, block B slides to the right and block A rebounds to the left at 1.5 meters per second. [Neglect friction.]
Calculate the speed of block B after the collision. [Show all calculations, including the equation and substitution with units.] [2]
Refer to the following information for the next two questions.
A 1.20 × 103-kilogram car is traveling east at 25 meters per second. The brakes are applied and the car is brought to rest in 5.00 seconds.
63.-64. Calculate the magnitude of the total impulse applied to the car to bring it to rest. [Show all work, including the equation and substitution with units.] [2]
65. State the direction of the impulse applied to the car. [1]
Refer to the following information for the next three questions.
The diagram shows a negatively charged oil drop that is suspended motionless between two oppositely charged, parallel, horizontal metal plates. The electric field strength between the charged plates is 4.0 × 104 newtons per coulomb. The 1.96 × 10−15-kilogram oil drop is being acted upon by a gravitational force, Fg, and an electrical force, Fe.
66.–67. Calculate the magnitude of the gravitational force, Fg, acting on the oil drop. [Show all work, including the equation and substitution with units.] [2]
68. Determine the magnitude of the upward electrical force, Fe, acting on the oil drop suspended motionless between the charged metal plates. [1]
69.–70. Calculate the net electric charge on the oil drop in coulombs. [Show all work, including the equation and substitution with units.] [2]
Refer to the following information for the next three questions.
In a circuit, a 100.-ohm resistor and a 200.-ohm resistor are connected in parallel to a 10.0-volt battery.
71.-72. Calculate the equivalent resistance of the circuit. [Show all work, including the equation and substitution with units.] [2]
73.–74. Calculate the current in the 200.-ohm resistor. [Show all work, including the equation and substitution with units.] [2]
75. Determine the power dissipated by the 100.-ohm resistor. [1]
Refer to the following information for the next three questions.
A wave traveling through a uniform medium has an amplitude of 0.20 meter, a wavelength of 0.40 meter, and a frequency of 10. hertz.
76.-77. On the grid in your answer booklet, draw one complete cycle of the wave. [2]
78.-79. Calculate the speed of the wave. [Show all work, including the equation and substitution with units.] [2]
80. Determine the period of this wave. [1]
Refer to the following information for the next four questions.
In an experiment, the potential difference applied across an unmarked resistor was varied while the resistor was held at a constant temperature. The corresponding current through the resistor was measured. The data collected appear in the table below.
81. Mark an appropriate scale on the axis labeled “Current (A).” [1]
82. Plot the data points for current versus potential difference. [1]
83. Draw the line or curve of best fit. [1]
84.-85. Using your graph, calculate the resistance of the resistor. [Show all work, including the equation and substitution with units.] [2]
