Why is Logger Pro set up to report the time between every other blocking of the Photogate? Why not the time between every block?

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  1. Why is Logger Pro set up to report the time between every other blocking of the Photogate? Why not the time between every block?
  2. Using either Graphical Analysis or graph paper, plot a graph of pendulum period vs. amplitude in degrees. Scale each axis from the origin (0,0). Does the period depend on amplitude? Explain.
  3. Using either Graphical Analysis or graph paper, plot a graph of pendulum period T vs. lengthl. Scale each axis from the origin (0,0).  Does the period appear to depend on length?
  4. Using either Graphical Analysis or graph paper, plot the pendulum period vs. mass. Scale each axis from the origin (0,0). Does the period appear to depend on mass? Do you have enough data to answer conclusively?
  5. To examine more carefully how the period T depends on the pendulum length l, create the following two additional graphs of the same data: T 2 vs. l and T vs. l2 . Of the three period-length graphs, which is closest to a direct proportion; that is, which plot is most nearly a straight line that goes through the origin?
  6. Using Newton’s laws, we could show that for some pendulums, the period T is related to the length l and free-fall acceleration g by  T=2pi square root of (l/g) , or T2 = (4pi2/g) * l

         Does one of your graphs support this relationship? Explain. (Hint: Can the term in parentheses be treated as a constant of proportionality?)

7. From your graph of T2 vs. l, determine a value for g.

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