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12.2 Newton’s First and Second Laws of Motion 12.2 Key Concepts • How does Newton’s first law relate change in motion to a zero net force? • How does Newton’s second law relate force, mass, and acceleration? • How are weight and mass related? 12.2 Newton’s First and Second Laws of Motion Aristotle _______________ incorrectly thought that a force was required to __________ an keep object moving Almost 2000 years later Galileo ______________ work helped to correct this misconception Galileo Galilei (1564 – 1642) 12.2 Newton’s First and Second Laws of Motion Aristotle, Galileo, and Newton Galileo By rolling balls down wood ramps, Galileo studied how gravity produces _________________ constant acceleration. • He concluded that moving objects NOT subjected to friction ______________ or any other force would continue to move ___________________. indefinitely 12.2 Newton’s First and Second Laws of Motion Aristotle, Galileo, and Newton Newton Newton built on the work of scientists such as Galileo. • He published his results in book Principia called _________________ • In this book, Newton defined mass force _________ and _____________ and introduced his laws of motion. 12.2 Newton’s First and Second Laws of Motion Newton’s First Law of Motion According to Newton’s first law of motion, the state of change not motion of an object does ______ ______________ as long as the net force acting on the object is zero ________. remains • So an object at rest ______________ at rest continues • A moving object ________________ moving inertia • This law is also called the law of ______________ the tendency of an object to resist a change in motion 12.2 Newton’s First and Second Laws of Motion Newton’s First Law of Motion push A strong kick or ___________ will overcome static friction and make the ball move. Without friction, the ball would continue to move push friction Unbalanced forces change motion 12.2 Newton’s First and Second Laws of Motion Newton’s First Law of Motion This crash sequence illustrates inertia. The forward test dummy continues its ______________ motion as the car slows and stops. 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion According to Newton’s second law of motion, the net acceleration of an object is equal to the ________ _________ acting on it divided by the object’s force mass ___________. 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion So the acceleration of an object is directly ______________ proportional to the net force acting on it. harder Example: The _____________ you throw a ball, the more it accelerates 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion The acceleration of an object also depends ______________________upon its mass - measure inversely of the ____________ of an object. inertia Example: Which will have more acceleration when you throw it…a baseball or a bowling ball? A baseball – less mass 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion The acceleration of an object is always in the _____________ direction as the net force. same When a net force acts in the direction opposite to the object’s motion, the force deceleration produces a _____________________ 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion An automobile with a mass of 1000 kilograms accelerates when the traffic light turns green. If the net force on the car is 4000 newtons, what is the car’s acceleration? 4000 N 1000 kg = 4 N/kg 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion Recall that one newton is the force that causes a _______ 1 kg 1 m/s mass to accelerate at a rate of _________ each second 1N= So 4 N = 4 kg kg·m s2 kg kg·m s2 = = m/s2 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion 1. A boy pushes forward a cart of groceries with a total mass of 40.0 kg. What is the acceleration of the cart if the net force on the cart is 60.0 N? 60. 0 N 40.0 kg = 1.5 N/kg = 1.5 m/s2 12.2 Newton’s First and Second Laws of Motion Newton’s Second Law of Motion 2. A 25-N force accelerates a boy in a wheelchair at 0.5 m/s2. What is the mass of the boy and the wheelchair? (Hint: Solve Newton’s second law for mass.) (M) 0.5 m/s2 = _25 N_ (M) M (M) 0.5 m/s2 = 25 N 0.5 m/s2 0.5 m/s2 = M = 50 kg 12.2 Newton’s First and Second Laws of Motion Weight and Mass Mass and weight are related but are NOT the same. amount of • Mass is the measure of the ____________ material an object contains. acting • Weight is the force of gravity _____________ on the mass of an object. 12.2 Newton’s First and Second Laws of Motion Weight and Mass If an astronaut has a mass of 112 kilograms, what is his weight on Earth where the acceleration due to gravity is 9.8 m/s2? Weight = 112 kg x 9.8 m/s2 = 1098 kg·m/s2 = 1098 N 12.2 Newton’s First and Second Laws of Motion Weight and Mass On the moon, the acceleration due to gravity 1/6 is only about ___________ that on Earth. Astronaut on Earth Mass = 88.0 kg, Weight = 863 N Astronaut on Moon Mass = 88.0 kg, Weight = 141 N 12.2 Newton’s First and Second Laws of Motion Assessment Questions 1. What is inertia? a. b. c. d. the force of gravity acting on an object forces of friction slowing an object’s motion the mass of an object the tendency of an object to resist change in its motion 12.2 Newton’s First and Second Laws of Motion Assessment Questions 2. A 3600-N force causes a car to accelerate at a rate of 4 m/s2. What is the mass of the car? a. b. c. d. 600 kg 900 kg 14,400 kg 1200 kg 12.2 Newton’s First and Second Laws of Motion Assessment Questions 3. How would your mass and weight change if you were on the moon’s surface? a. They wouldn’t change. b. Your mass would remain constant, and your weight would increase. c. Your mass and weight would decrease. d. Your mass would remain constant, and your weight would decrease.