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Physics Study Guide 1. Review the following pages (textbook) + the Supplemental Problems you received: Chapter 1: p. 23 Chapter 2: p. 51 Chapter 3: p. 79 Chapter 4: p. 111 Chapter 5: 139 Chapter 6: 163 Chapter 7: p. 189 2. Review the handout on Einstein and timeline for E=mc2 video. 3. Concept Summary Science is the study of nature’s rules. Science is a way of thinking as well as a body of knowledge. Physics is the most basic of all sciences. The use of mathematics helps make ideas in science unambiguous. Scientific methods are procedures for answering questions about the world by testing educated guesses (hypotheses) and formulating general rules. Hypotheses in science must ne testable. They are changed or abandoned if they are contradicted by experimental evidence. A scientific theory is a body of knowledge and well-tested hypotheses about some aspect of the natural world. Theories are modified as new evidence is gathered. Science deals with knowledge for its own sake, while technology is an application of scientific knowledge. Science deals with theoretical questions, while technology deals with practical problems. Motion is described relative to something. Speed is a measure of how fast something is moving. Speed is the rate as which distance is covered, and it is measured in units of distance divided by time. Instantaneous speed is the speed at any instant. Average speed is the total distance covered divided by the time interval. Velocity is speed together with direction. Velocity is constant only when speed and direction are both constant. Acceleration is the rate at which velocity is changing with respect to time. An object accelerates when its speed is increasing, when its speed is decreasing, and/or when its direction is changing. Acceleration is measured in units of speed divided by time. An object in free fall is falling under the influence of gravity alone when air resistance does not affect its motion. An object in free fall has a constant acceleration of 9.80 m/s2. Vector quantities have both magnitude and direction. A vector is represented by an arrow whose length represents the magnitude of the vector quantity and whose direction represents the direction of the vector quantity. The resultant of two velocities can be determined from a vector diagram drawn to scale. Any single vector can be replaced by two components that add by vector rules to form the original vector. When gravity is he only force acting in a projectile near Earth, the horizontal component of its velocity does not change. A satellite is continually falling around Earth Galileo concluded that if it were not for friction, an object in motion would keep moving forever. Newton’s first law of motion-the law of inertia: Every object continues in a state of rest, or in a state of motion in a straight line at constant speed, unless it is compelled to change that state by forces exerted upon it. Inertia is the resistance an object has to a change in its state of motion. Mass is a measure of inertia. Mass is not the same as volume. Mass is not the same as weight. The mass of an object depends only on the number and kind of atoms in it. Mass does not depend on the location of the object. The weight of an object is the gravitational force acting on it. Weight depends on the location of the object. The net force, which is the vector sum of all forces acting in an object, affects the object’s state of motion. When an object is at rest, its weight is balanced by an equal and opposite support force. An object is in equilibrium when it is at rest, with zero net force acting on it. Newton’s second law of motion: The acceleration produced by a net force on an object is directly proportional to the magnitude of the net force, is in the same direction as the net force, and is inversely proportional to the mass of the object. a~F/m An object accelerates – changes speed and/or direction – when a net force acts on it. The acceleration of an object is directly proportional to the net force acting on it. The acceleration of an object is inversely proportional to the mass of the object. Acceleration equals net force divided by mass. Acceleration is in the same direction as the net force. When an object moves with constant velocity while an applied force acts on it, an equal and opposite force, usually friction, must also act to balance the applied force. The application of a force over an area produces pressure. When the force is perpendicular to the surface area, the pressure equals the force divided by the area over which it acts. The acceleration of all objects in free fall is the same, regardless of their mass. When air resistance is present, a falling object accelerates only until it reaches its terminal speed. At terminal speed, the force of air resistance balances the force of gravity. Newton’s third law of motion: Whenever an object exerts a force on a second object, the second object exerts an equal and opposite force on the first object. An interaction between two things produces a pair of forces. Interacting things exert forces on each other. The two interacting forces are called the action force and the reaction force. Action and reaction forces are equal in strength and opposite in direction. An object rotates when it turns around an internal axis; it revolves when it turns around an external axis. Rotational speed is the number of rotations or revolutions made per unit of time. A centripetal force pulls objects toward a center. An object moving in a circle is acted on by a centripetal force. When an object moves in a circle, there is no force pushing the object outward from the circle. From within a rotating frame of reference, there seems to be an outwardly directed centrifugal force, which can simulate gravity. The moon and other objects in orbit around Earth are actually falling toward Earth but have great enough tangential velocity to avoid hitting Earth. According to Newton’s law of universal gravitation, everything pulls on everything else with a force that depends upon the masses of the objects and the distances between their centers of mass. The greater the masses, the greater the force is. The greater the distance, the smaller is the force. Gravitation decreases according to the inverse-square law. The force of gravity weakens as the distance squared. Earth can be thought of as being surrounded by a gravitational field that interacts with objects and causes them to experience gravitational forces. The gravitational field g is equal to the acceleration of a freely falling object. Objects in orbit around Earth have gravitational force acting on them even they appear to be weightless. An Earth satellite is a projectile that moves fast enough tangentially that it falls around Earth rather than into it. The speed of a satellite in a circular orbit is not changed by gravity. The speed of a satellite in an elliptical orbit decreases as it recedes from Earth and increases as it approaches Earth. According to Einstein’s special theory of relativity, time is affected by motion in space at constant velocity. Time appears to pass more slowly in a frame of reference that is moving relative to the observer. All the laws are the same in all uniformly moving frames of reference.