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Notes Newton’s Three Laws of Motion Forces 1. Newton’s First Law states an object at rest remains at rest and an object in motion maintains its velocity unless it experiences an unbalanced force. Newton’s First Law A. Newton’s first law is sometimes called the Law of Inertia. B. Inertia is related to an object mass C. Mass is a measure of inertia. D. An object with a small mass has less inertia than an object with a large mass. For, example a softball has less mass and less inertia than a bowling ball does. Newton’s Second Law 2. Newton’s second law states the unbalanced force acting on an object equals the object’s mass times its acceleration. Mathematically-Newton’s 2nd law A. Newton’s second law, which describes the relationship between mass, force, and acceleration, can be written as follows. force = mass x acceleration f = ma Unit for force = N (kg x m/s2) Newton’s nd 2 Law B. Newton (N) is a measure of force C. Kilogram (kg) is a measure of mass D. Meters per second squared 2 (m/s ) is a measure of acceleration Newton’s E. The nd 2 Law also states acceleration of an object is proportional to the net force on the object and inversely proportional to the object’s mass. F. The second law can also be written as follows. acceleration = a = force mass F m Unit for acceleration = m/s2 G. The second law also can be written as follows. mass = force acceleration m = f_ a unit for mass = kg Law of Universal Gravitation 3. The Law of Universal Gravitation states that all objects in the universe attract each other through gravitational force. A. All matter is affected by gravity Gravitational Force B. Gravitational force increases as mass increases C. Gravitational force decreases as distance increases D. Gravitational force is small between objects that have small masses. Gravitational force E. Gravitational force is larger when one or both objects have larger masses. F. Universal gravitational equation: F = m1m2 d2 Free Fall and Weight 4. When gravity is the only force acting on an object, the object is said to be in free fall Free Fall and Weight A. Free-fall acceleration near Earth’s surface is constant; in the absence of air resistance, all objects near Earth’s surface accelerates at the same rate, regardless of their mass. B. The force on an object due to gravity is called its weight C. Weight equals mass times free-fall acceleration, this is expressed as follows Weight = mass x free-fall acceleration w = mg D. Weight due to gravity on earth is 2 9.8m/s E. Weight is a force, the SI unit of weight is the Newton (N). F. Weight is different from mass. Mass and weight are easy to confuse. Although mass and weight are directly proportional to one another, they are not the same. G. Mass is a measure of the amount of matter in an object. H. Weight is the gravitational force an object experiences because of its mass. I. The weight of an object depends on gravity, so a change in an object’s location will change the object’s weight. Free-Fall J. Weight influences shape; gravitational force influences the shapes of living things. K. Velocity is constant when air resistance balances weight Newton’s Third Law 5. Newton’s third law states for every action, there is an equal and opposite reaction force. A. Forces always occur in pairs B. Force pairs do not act on the same object C. Equal forces don’t always have equal effects D. Momentum is calculated by multiplying an object’s mass by its velocity. Law of Conservation of Momentum • According to the law of conservation momentum, if objects exert forces only on each other, their total momentum is conserved. • The momentum of an object doesn’t change unless its mass, velocity, or both change. Momentum E. The SI unit for momentum is kilograms times meters per second (kg. m/s). momentum = mass x velocity p = mv Mass = momentum velocity m = P V Velocity = momentum mass V = P m Symbols and Units Momentum (p) = kg x m/s Mass (m) = kg Velocity (v) = m/s