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158-M2 Manual Addendum rev 2

158-M2 Manual Addendum rev 2 - 2 fall within the range of...

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PHY-158 M2 VI Addendum On occasion, it will be necessary to deviate from what has been set forth in the lab manual due to changes in equipment, or discovering a better way of doing things. The information here supersedes that in the lab manual. VI-1: Clearly tabulate the data. Each height should have its own table, and each table should include the following information: t, t 2 , average of the t 2 and standard deviation of the t 2 . For the final height (e.g. the height from which you dropped the small and large balls), you should also calculate the average time and the standard deviation of the time for both balls. These will be used for part VI-4. VI-2: Using Excel, plot d vs. t 2 . Your plot should have a trend line, and the equation of that trend line should be displayed in the graph. Using the LINEST function in Excel, calculate the slope, m, and the uncertainty in the slope, σ m . Using those results, calculate g and σ g . Report your answer as g +/- σ g . Does the accepted value, g = 9.8 m/s
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Unformatted text preview: 2 fall within the range of your calculated g +/- σ g ? VI-3a: Answer this question as asked in the manual, but keep in mind that a simple yes or no is not sufficient. VI-3b: How do the departures of the points from the line compare to the standard deviations tabulated in VI-1? Recall that the standard deviations are a measure of the random error associated with your measurements. Are the departures from the line of about the same size as your standard deviations? VI-3c: No change from the manual. VI-4: Consider the results from part IV-C. Is there a difference in the times for the large and small balls to fall the same distance? Stated another way, the times for dropping the large ball represent a range of values from t t σ − to t t + , and the same is true for the measured times when dropping the small ball: Do these two ranges of values overlap? If so, then there really is no difference between our measured values....
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