![]() ![]() First, divide the length of all the segments \(D\) by the number of segments \(N\) to get the length a single segment \(d\), and propagate uncertainty. The units begin are a little wonky right now, though - "segments per second squared." time graph, the quantity measured was acceleration, which should be acceleration due to gravity. Take your five slopes, take an average, and calculate the uncertainty in this average.Īs the slope of a velocity vs. up to 10cm, noting the first velocity measured each time. Repeat dropping from higher distances - 4cm, 6cm, etc. Take note of the first velocity the program records (the first measurement listed on the data table at left), and record it. Take your uncertainty in height to be 2mm, which is dominated by the uncertainty in your ability to hold it at exactly 2cm, unless you think you did better than that, in which case you are welcome to make your own assessment.Īs before, click "Start Collection," wait a second, and drop the fence. Record this distance (as best you can measure it) to be the height \(h\). height above the photogate dropped.īegin by holding the plastic such that the bottom of the lowest black segment is about 2cm above the top of the photogate. We will hold the striped plastic some distance above the photogate, drop it, and look at the first velocity measured vs. Now, we will take a different set of measurements. Part II: Measuring \(g\) Using Drops from Varying Height Repeat the process (take data, check that it looks good, fit) for four more drops. ![]() Record the slope of this line, and then click the "x" of the little "fit" box to close it. Click "Analyze->Linear Fit" and it will output a fit with a slope. (I.e., if it dropped smoothly, all of your data if it bounced back in sight of the photogate, only the data before the bounce). time plot as follows: highlight the data on the plot in the region where it looks like a straight line. (You may want to take a screenshot for later reference as well.)įit a best fit line to your velocity vs. If the data looks OK, then make a quick sketch of what they look like on the provided sketching paper. Also do so if you have fewer than three total velocity measurements (look to the table on the left to see how many data points you have). If there is a kink in the plot somewhere (it does not look how you expect), if it hit the photogate, or if it rotated significantly as it dropped, take the data again (click "Start Collection" and drop it again). time plot, all with distance units of "segments" (pairs of black/white stripes). Once it is through, press "Stop Collection." You should see some data and three plots: a position vs. Make sure the fence drops straight through and does not rotate (be careful how you drop it), and also that it does not hit the photogate on the way down. Press "Start Collection," wait a second for it to register, and when it actually begins collecting data, drop the fence through. Make sure that the photogate starts out unblocked, so you are holding it high enough. Hold the fence just above the photogate, oriented so that the black and white stripes will go across the beam and block it (i.e., in the plane perpendicular to the laser beam). It may be convenient to put a chair underneath to catch the picket fence (but low enough so that the fence passes all the way through and does not bounce back "in sight" of the photogate). Make sure the photogate is mounted over the floor such that the striped plastic can fall through it when dropped. 1Īt this point, you should be confronted with a screen with three plots on the right and a data table on the left. In the window that pops up, click "Connect." This should set up the photogate with the computer. Open the file "Acceleration" from the LoggerPro file folder on the computer. Turn on the lab computer and log in as "Student" (if necessary). Also record how many segments ( pairs of black and white stripes) this is as \(N\). Estimate your uncertainty in this measurement. Time Graphįirst, take your striped plastic rectangle, and measure the distance \(D\) between the bottom of the lowest black stripe and the bottom of the highest black stripe. Part I: Measuring \(g\) Using a Velocity Vs. ![]()
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