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AP Physics 1 U8 - WS1 - Properties of Oscillation page I Unit 8 - Oscillation & Waves 2/27/17 Problems 1-12: A cart attached to a spring is displaced from equilibrium and then released. A graph of displacement as a function of time for the cart is shown. Friction is negligible. Eight points are labeled A - H in the graph. Displacement, cm 16 Time, s 1. For each labeled point above, identify if the vector quantity listed below is in the positive (+) direction, negative (-) direction, or is zero (0) for no direction. Point Displacement Velocity Acceleration Total Force B C D E F G H For questions 2-8, choose from the labeled points above or state "none" for the mass-spring-g.f. system: 2. At which point(s) are the elastic potential energy and kinetic energy BOTH at their maximum values? Explain. 3. At which point(s) is the kinetic energy equal to zero? Explain. 4. At which point(s) is the total mechanical energy at its maximum value? Explain. . At which point(s) is the elastic potential energy negative? Explain. 6. At which point(s) is the kinetic energy positive? Explain. 7. At which point(s) is the kinetic energy at its maximum value and the spring potential energy at its minimum value? Explain. B. At which point(s) is the kinetic energy at its minimum value and the spring potential energy at its maximum value? Explain. 9. Create a stack of graphs for K vs. f and U. vs. f. Label all relevant values on each axis for each graph. Be sure to time synchronize them. 10. Create a stack of graphs for v vs. ? and EF vs. . Label all relevant values on each axis for each graph. Be sure to time synchronize them. 1 1. Write an expression for U. as a function of time. Write an expression for K as a function of time. Using these two expressions, show that the total mechanical energy of the system does not change as a function of time. 12. For each scenario, state whether each quantity for the cart would increase (1), decrease (!), or would not change (0): Scenario 1 - The cart's initial displacement is halved. Scenario 2 - The cart's initial displacement is tripled. Scenario 3 - A bag of sand is put into the cart before it is released from its original displacement. Scenario 4 - The spring is replaced with a spring that has a smaller spring constant. Scenario Max Max Max Max Max EF