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AP Physics I U8 - WS2 - More Oscillation page 1 Unit 8 - Oscillation A mass attached to a spring is suspended as shown. When the mass is at rest, the spring is 12 cm long. The unstretched length of the spring is 8 cm. The mass is pulled down so that the spring length is 16 cm and then released. A graph of the spring length as a function of time is shown. Eight points are labeled A - H in the graph. ASpring length, cm 8 - 10- H 12 14 10 -12 Time, s 16 1. At which point(s) is the elastic potential energy at its maximum value? Explain. 2. At which point(s) is the gravitational potential energy at its maximum value? Explain. 3. At which point(s) is the kinetic energy at its maximum value? Explain. 4. At which point(s) is the total mechanical energy at its maximum value? Explain. 5. At which point(s) is the elastic potential energy zero? 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 gravitational potential energy at its minimum value? Explain. Problems 8-13: Now imagine making your origin where the spring is maximally compressed and make up positive. Stretch the spring the same amount as before but begin all graphs when the spring is at its rest length. 8. Draw the x vs. I graph for this process. Label all relevant values on each axis for the graph. 9. Create a stack of graphs for v vs. t and a vs. t. Label all relevant values on each axis for each graph. Be sure to time synchronize them with your x vs. I graph. 10. Create a stack of graphs for U. vs. t, Un vs. t and K vs. t. Label all relevant values on each axis for each graph. Be sure to time synchronize them. 11. Write an expression for U, as a function of time. 12. Write an expression for U. as a function of time. 13. Write an expression for K as a function of time. Problems 14-17: You have the following items ONLY: A stand, stopwatch, set of masses with known values, and a spring with unknown spring constant k. 14. Design an experiment that will allow you to determine the spring constant k. Include a sketch of your setup and enough detail so that anyone could collect the data. Identify the independent and dependent variable(s) and any values you would need to keep fixed in order to carry out the lab. 15. Sketch a graph of what your data should look like if plotted. If the graph is non-linear, describe what you would have to do to the data in order to linearize it. 16. For the linear graph, what is the slope equivalent to? (Your answer should be a formula). 17. Explain how to use this linear graph to get the value of the spring constant