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Chapter 4 Newton’s 1st and 2nd Laws of Motion What do you think? • If a net force acts on an object, what type of motion will be observed? – Why? • How would this motion be affected by the amount of force? • Are there any other factors that might affect this motion? Newton’s First Law An object moves with a velocity that is constant in magnitude and direction, unless acted on by a nonzero net force “A body in motion tends to remain in motion; a body at rest tends to remain at rest.” The net force is defined as the vector sum of all the external forces exerted on the object External and Internal Forces External force Any force that results from the interaction between the object and its environment Internal forces Forces that originate within the object itself They cannot change the object’s velocity Inertia Is the tendency of an object to continue in its original state of motion Either moving, or at rest Mass A measure of the resistance of an object to changes in its motion due to a force Scalar quantity SI units are kg Weight The magnitude of the gravitational force acting on an object of mass m near the Earth’s surface is called the weight w of the object w = m g is a special case of Newton’s Second Law g is the acceleration due to gravity g can also be found from the Law of Universal Gravitation Gravitational Force Mutual force of attraction between any two objects Expressed by Newton’s Law of Universal Gravitation: m1 m2 Fg G 2 r Newton’s Second Law The acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to the object’s mass Newton’s Second Law Fnet m a • Increasing the force will increase the acceleration. – Which produces a greater acceleration on a 3-kg model airplane, a force of 5 N or a force of 7 N? • Answer: the 7 N force • Increasing the mass will decrease the acceleration. – A force of 5 N is exerted on two model airplanes, one with a mass of 3 kg and one with a mass of 4 kg. Which has a greater acceleration? • Answer: the 3 kg airplane Newton’s Second Law (Equation Form) F ma • F represents the vector sum of all forces acting on an object. F = Fnet = m·a Units for force: mass units (kg) acceleration units (m/s2) = kg·m/s2 The units kg•m/s2 are also called newtons (N). Multiple Objects – Example When you have more than one object, the problem-solving strategy is applied to each object Draw free body diagrams for each object Apply Newton’s Laws to each object Solve the equations Classroom Practice Problem • Space-shuttle astronauts experience accelerations of about 35 m/s2 during takeoff. What force does a 75 kg astronaut experience during an acceleration of this magnitude? • Answer: 2600 kg•m/s2 or 2600 N