phys 223 lab 4 report

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University of Louisville *

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Physics

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Apr 3, 2024

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docx

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January 30, 2024 PHYS 223-02 Experiment 3 Jasmine Warren, Mia Hardy, Ella Dozer Introductions and Objectives For this experiment the objective was to determine acceleration during free fall motion and up and down motion. To start we used a lighter ball about 10 cm below the sensor, started data acquisition on the computer, and dropped the ball multiple times to get some options. We then would copy the results of distances and times into a note and the find the multiple times where the distance was at a min/max. We would copy those times/distances from the min to the max into the program and run to see it plotted. We would try this with our multiple drops to pick the best set of data and then adjust the acceleration if necessary to fit the curve. Once we found our best data set, we would copy that into the table and calculate velocity. We then repeated those steps with a heavier ball. Next, we went back to the lighter ball and repeated those steps but instead we started at the bottom and threw the ball up and then let it fall. We also took note of the accelerations from each setup and the velocity from the up and down motion. We then had to plot distance vs time to find the best fit linear and quadratic coefficient. Data Sheets and Graphs Recorded Time t (s) Time t (s) Distance (cm) Velocity (cm/s) 1 3.222 0 17.2 0 2 3.277 0.055 22.6 98.182
3 3.332 0.11 24.1 27.273 4 3.387 0.165 32.4 150.909 5 3.443 0.221 44.0 207.143 6 3.561 0.339 78.2 289.831 7 3.620 0.398 98.9 350.847 8 3.680 0.458 122.5 393.333 9 3.741 0.519 132.3 160.656 10 3.803 0.581 132.7 6.452 Table 1: Data from the light ball during motion down. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0 20 40 60 80 100 120 140 f(x) = 134.18 x² + 154.33 x + 10.72 Time t (s) Distance (cm) Graph 1: Time vs distance for the light ball during motion down.
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0 50 100 150 200 250 300 350 400 450 f(x) = 282.3 x + 88.12 Time t (s) Velocity (cm/s) Graph 2: Time vs Velocity for the light ball during motion down. Recorded Time t (s) Time t (s) Distance (cm) Velocity (cm/s) 1 16.775 0 10.2 0 2 16.830 0.055 11.5 23.636 3 16.884 0.109 11.2 -5.556 4 16.938 0.163 12.4 22.222 5 16.993 0.218 16.5 74.545 6 17.048 0.273 21.8 96.364 7 17.113 0.338 204.7 2813.846 8 17.178 0.403 205.1 6.154 Table 2: Data from the heavy ball during motion down.
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0 50 100 150 200 250 f(x) = 2507.59 x² − 500.54 x + 21.24 Time t (s) Distance (cm) Graph 3: Time vs distance for the heavy ball during motion down. 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 -500 0 500 1000 1500 2000 2500 3000 f(x) = 3004.51 x − 206.6 Time t (s) Velocity (cm/s) Graph 4: Time vs velocity for the heavy ball during motion down. Recorded Time t (s) Time t (s) Distance (cm) Velocity (cm/s) 1 24.447 0 92.3 0 2 24.505 0.058 72.8 -336.207 3 24.561 0.114 55.2 -314.286
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