NY Regents January 2006, Part 1
1 The speed of a wagon increases from 2.5 meters per second to 9.0 meters per second in 3.0 seconds as it accelerates uniformly down a hill. What is the magnitude of the acceleration of the wagon during this 3.0-second interval?
2 A 1.0-kilogram ball is dropped from the roof of a building 40. meters tall. What is the approximate time of fall? [Neglect air resistance.]
3 Which is a scalar quantity?
4 A projectile is fired with an initial velocity of 120. meters per second at an angle, theta, above the horizontal. If the projectile’s initial horizontal speed is 55 meters per second, then angle theta measures approximately
5 A 2.0-kilogram laboratory cart is sliding across a horizontal frictionless surface at a constant velocity of 4.0 meters per second east. What will be the cart’s velocity after a 6.0-newton westward force acts on it for 2.0 seconds?
6 A 25.0-kilogram space probe fell freely with an acceleration of 2.00 meters per second2 just before it landed on a distant planet. What is the weight of the space probe on that planet?
Refer to the following information for the next two questions.

Base your answers on the diagram below, which shows a 1.0-newton metal disk resting on an index card that is balanced on top of a glass.

7 What is the net force acting on the disk?
8 When the index card is quickly pulled away from the glass in a horizontal direction, the disk falls straight down into the glass. This action is a result of the disk’s
9 A vertical spring 0.100 meter long is elongated to a length of 0.119 meter when a 1.00-kilogram mass is attached to the bottom of the spring. The spring constant of this spring is
10 Compared to the force needed to start sliding a crate across a rough level floor, the force needed to keep it sliding once it is moving is
11 A 400-newton girl standing on a dock exerts a force of 100 newtons on a 10,000-newton sailboat as she pushes it away from the dock. How much force does the sailboat exert on the girl?
12 A student on her way to school walks four blocks east, three blocks north, and another four blocks east, as shown in the diagram.

Compared to the distance she walks, the magnitude of her displacement from home to school is
13 The diagram below represents two satellites of equal mass, A and B, in circular orbits around a planet.

Compared to the magnitude of the gravitational force of attraction between satellite A and the planet, the magnitude of the gravitational force of attraction between satellite B and the planet is
14 The diagram below shows a 5.0-kilogram bucket of water being swung in a horizontal circle of 0.70-meter radius at a constant speed of 2.0 meters per second.

The magnitude of the centripetal force on the bucket of water is approximately
15 A 6.8-kilogram block is sliding down a horizontal, frictionless surface at a constant speed of 6.0 meters per second. The kinetic energy of the block is approximately
16 Through what vertical distance is a 50.-newton object moved if 250 joules of work is done against the gravitational field of Earth?
17 When a mass is placed on a spring with a spring constant of 15 newtons per meter, the spring is compressed 0.25 meter. How much elastic potential energy is stored in the spring?
18 Two students of equal weight go from the first floor to the second floor. The first student uses an elevator and the second student walks up a flight of stairs. Compared to the gravitational potential energy gained by the first student, the gravitational potential energy gained by the second student is
19 A 55.0-kilogram diver falls freely from a diving platform that is 3.00 meters above the surface of the water in a pool. When she is 1.00 meter above the water, what are her gravitational potential energy and kinetic energy with respect to the water’s surface?
20 A 0.25-kilogram baseball is thrown upward with a speed of 30. meters per second. Neglecting friction, the maximum height reached by the baseball is approximately