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Chapter 2 Motion in One Dimension Topics: • The kinematics of motion in one dimension • • Problem-solving strategies Motion Diagrams and Pictorial Diagrams Sample question: Horses can run much much faster than humans, but if the length of the course is right, a human can beat a horse in a race. When, and why, can a man outrun a horse? Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-1 The Sprinter A sprinter accelerates at 2.5 m/s^2 until reaching his top speed of 15 m/s. He then continues to run at top speed. How long does it take him to run the 100 m dash? Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Down and up A ball is released on the left side at a height of 1 m on a frictionless 30 degree slope, |a| = 5 m/s2. At the bottom, it turns smoothly onto a 60 degree slope going back up, |a| = 8.66 m/s2. What maximum height does it reach on the right side? Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Brainstorm: What is a Force? Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Galileo (1564-1642) Developed the idea of experimental science Re-examined natural motion of objects and how objects move Made astronomical observations that challenged Earth-centered solar system model. Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Newton (1642-1727) Newton's work based on experiments of how objects interact. His laws of motion and law of gravity described how all objects interact with each other. Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Newton’s Zeroeth Law of Motion Objects are dumb - They have no memory of the past and cannot predict the future. Objects only know what acts directly on them in a given moment. Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Slide 2-34 Newton's Zeroeth Law of Motion DEMO - Pushing the cart on track Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Newton's First Law of Motion Every object continues in a state of rest or a state of motion with a constant speed in a straight line unless acted on by an unbalanced force. Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Newton's First Law of Motion DEMO - Air Puck motion DEMO - Smash the HAND DEMO - Tablecloth Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Newton's Second Law of Motion When a force, Fnet, acts on an object with a mass, m, it produces an acceleration, a, equal to the force divided by the mass. a= Fnet m acceleration is a change in speed or a change in direction of speed. Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Identifying Forces: Freebody (Force) Diagrams and System Schema Michael Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Laura Slide 2-34