NY Regents June 2007, Part 3
41 Which graph best represents the relationship between the velocity of an object thrown straight upward from Earth’s surface and the time that elapses while it is in the air? [Neglect friction.]
42 In the diagram below, scaled vectors represent the momentum of each of two masses, A and B, sliding toward each other on a frictionless, horizontal surface.

Which scaled vector best represents the momentum of the system after the masses collide?
43 A pendulum is pulled to the side and released from rest. Which graph best represents the relationship between the gravitational potential energy of the pendulum and its displacement from its point of release?
44 Which graph best represents the relationship between the power required to raise an elevator and the speed at which the elevator rises?
45 Baryons may have charges of
46 The slope of a graph of photon energy versus photon frequency represents

Refer to the following information for the next two questions.

The magnitude of the electric field strength between two oppositely charged parallel metal plates is 2.0 × 103 newtons per coulomb. Point P is located midway between the plates.
 47 On the diagram, sketch at least five electric field lines to represent the field between the two oppositely charged plates. [Draw an arrowhead on each field line to show the proper direction.] [1]

 48 An electron is located at point P between the plates. Calculate the magnitude of the force exerted on the electron by the electric field. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next three questions.

A student generates a series of transverse waves of varying frequency by shaking one end of a loose spring. All the waves move along the spring at a speed of 6.0 meters per second.
 49 Complete the data table, by determining the wavelengths for the frequencies given. [1]

 50 On the grid, plot the data points for wavelength versus frequency. [1]

 51 Draw the best-fit line or curve. [1]

Refer to the following information for the next two questions.

A force of 60. newtons is applied to a rope to pull a sled across a horizontal surface at a constant velocity. The rope is at an angle of 30. degrees above the horizontal.

 52 Calculate the magnitude of the component of the 60.-newton force that is parallel to the horizontal surface. [Show all work, including the equation and substitution with units.] [2]

 53 Determine the magnitude of the frictional force acting on the sled. [1]

Refer to the following information for the next three questions.

A projectile is launched into the air with an initial speed of vi at a launch angle of 30.° above the horizontal. The projectile lands on the ground 2.0 seconds later.
 55 On the diagram, sketch the ideal path of the projectile. [1]

 56 How does the maximum altitude of the projectile change as the launch angle is increased from 30.° to 45° above the horizontal? [Assume the same initial speed, vi.] [1]

 57 How does the total horizontal distance traveled by the projectile change as the launch angle is increased from 30.° to 45° above the horizontal? [Assume the same initial speed, vi.] [1]

Refer to the following information for the next three questions.

A 3.0-ohm resistor, an unknown resistor, R, and two ammeters, A1 and A2, are connected as shown with a 12-volt source. Ammeter A2 reads a current of 5.0 amperes.

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

 59 Calculate the current measured by ammeter A1. [Show all work, including the equation and substitution with units.] [2]

 60 Calculate the resistance of the unknown resistor, R. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next five questions.

A horizontal force of 8.0 newtons is used to pull a 20.-newton wooden box moving toward the right along a horizontal, wood surface, as shown.

 61 Starting at point P, use a metric ruler and a scale of 1.0 cm = 4.0 N to draw a vector representing the normal force acting on the box. Label the vector FN. [1]

 62 Calculate the magnitude of the frictional force acting on the box. [Show all work, including the equation and substitution with units.] [2]

 63 Determine the magnitude of the net force acting on the box. [1]

 64 Determine the mass of the box. [1]

 65 Calculate the magnitude of the acceleration of the box. [Show all work, including the equation and substitution with units.] [2]

Refer to the following information for the next two questions.

A pop-up toy has a mass of 0.020 kilogram and a spring constant of 150 newtons per meter. A force is applied to the toy to compress the spring 0.050 meter.

 66 Calculate the potential energy stored in the compressed spring. [Show all work, including the equation and substitution with units.] [2]

 67 The toy is activated and all the compressed spring’s potential energy is converted to gravitational potential energy. Calculate the maximum vertical height to which the toy is propelled. [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 frequency of 5.02 × 1014 hertz is absorbed by an excited hydrogen atom. This causes the electron to be ejected from the atom, forming an ion.
 72 Calculate the energy of this photon in joules. [Show all work, including the equation and substitution with units.] [2]

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

 74 What is the number of the lowest energy level (closest to the ground state) of a hydrogen atom that contains an electron that would be ejected by the absorption of this photon? [1]