phys 6AL math lab

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University of California, Santa Barbara *

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6AL

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Physics

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Feb 20, 2024

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pdf

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Ella Nouhi Williams 7750755 Physics 6AL math lab Exercise 1 A. Reaction Time Table Trial Reaction Time (ms) 1 400 2 387 3 360 4 287 5 350 6 300 7 310 8 289 9 302 10 320 Average Reaction Time: 331 . ms Exercise 2: In an experiment we measure the acceleration due to gravity to be 9.825 m/s29.825 m/s^ 2 . The accepted value is 9.807 m/s. What is the percent discrepancy in our measurement? % discrepancy = |(9.807-9.825)/9.807|*100= 0.18% Exercise 3: Average: (2.58+2.61)/2= 2.595 Percent difference: ((2.58-2.61)/2.595)*100= -1.16% Exercise 4 A. Speaking Speed Table Trial Speed (s) 1 2.81 2 2.71 3 2.81 4 2.75 5 2.58 6 2.93 7 2.70 8 2.71
9 2.78 10 2.53 B. Average and Standard Deviation: 2.73±0.1 Exercise 5 Average and Standard Deviation: 331±41 Exercise 6: a. 4 b. 5 c. 1 d. 3 e. 5 Exercise 7: A. 2.4+2.4+3.2+3.2= 11.2 cm B. 2.4*3.2= 7.7 cm2^ C. pi(2.4)^2= 18. cm^2 Exercise 8: A. Initial: 10.5 mL a. Final: 12.9 mL Object: 12.9-10.5= 2.4 mL B. Density: (57.868/2.4)= 24. g/mL C. Percent discrepancy: |(21.45-24.)/21.45| x 100= 12.% Exercise 9 A. 2.0 (two sig figs) *304.8 (four sig figs)= 609.6 = 610 mm Exercise 10 A. Can't tell what the range is, there ar5e lots of blank spaces on the graph. B. Not plotted as a scatter plot; points are connected. C. Y axis is missing a name and unit and X axis is missing units. D. There is no title telling us what the graph is showing E. Independent variables and dependent variables are on the incorrect axis so the graph doesn't make sense. Exercise 11: The exponential fits the curve better, as there is not a constant slope and the trend starts to increase more sharply at the end. More points are closer to the line. Exercise 12: Time (s) Position (cm) Time (min) Position (in) 5.2 2.9 0.09 1
9.7 5.1 0.16 2.0 15.1 8.3 0.252 3.27 20.3 10.2 0.338 4.02 25.3 13.3 0.422 5.24 30.7 16.9 0.512 6.65 36.2 19 0.603 7.48 41.4 22.6 0.690 8.90 46.5 21.2 0.775 8.35 51.2 26.9 0.853 10.6 56.4 27.4 0.940 10.8 Slope Intercept Value 11.6 0.294 Std Dev 0.5 0.3
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