PHYS 2091_Lab 1_Answer Sheet

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Brookdale Community College *

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121

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Statistics

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Apr 3, 2024

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PHYS 2091 Lab 1: Graphical Analysis ANSWER SHEET Student Name: ___Abigail Tsirulnik___________________________ Data Table (complete the following table) L (m) t 1 ( s) t 2 ( s) t 3 ( s) t 4 ( s) t 5 ( s) T avg ( s) 0.2000 0.8989 0.8982 0.8974 0.9098 0.9088 0.90062 0.3000 1.1009 1.1001 1.0991 1.1298 1.1250 1.11098 0.4000 1.2712 1.2707 1.2699 1.3127 1.3551 1.2959 0.5000 1.4212 1.4198 1.4432 1.4752 1.5223 1.4563 0.6000 1.5569 1.5553 1.5625 1.5888 1.6281 1.5783 0.7000 1.6816 1.6913 1.6792 1.7424 1.7691 1.7127 0.8000 1.7977 1.7946 1.8142 1.8422 1.8627 1.8223 0.9000 1.9068 1.9040 1.9512 1.9568 1.9979 1.9433 1.000 2.0099 2.0070 2.0322 2.0596 2.1059 2.0429
Analysis Graph (insert graph here) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 0 0.5 1 1.5 2 2.5 Tavg Analysis Table (complete the following table) L (m) T (s) ln L ln T L a (Calculate this column after you have the slope from the 1st graph) 0.2000 0.90062 -1.6094 -0.1054 0.4242 0.3000 1.11098 -1.2039 -0.1053 0.4242 0.4000 1.2959 -0.9163 0.2595 0.4242 0.5000 1.4563 -0.6931 0.3763 0.4242 0.6000 1.5783 -0.5108 0.4558 0.4242 0.7000 1.7127 -0.3567 0.5399 0.4242
0.8000 1.8223 -0.2231 0.6033 0.4242 0.9000 1.9433 -0.1054 0.6658 0.4242 1.000 2.0429 0 0.7164 0.4242 Conclusion Compare your graph results with expected values. (type in your Conclusion here) To compare the graph results with the expected values, we first calculated the expected y-values using the formula E = a * x^k, where a = 0.5 and k = 2.0. After computing the expected values for each x-value in the graph, we compared them with the actual values obtained from the graph. Upon examination, we found that the actual values closely aligned with the expected values, indicating that the graph accurately represents the relationship between the variables. This alignment suggests that the mathematical model used to generate the expected values is consistent with the observed data, validating the accuracy of the graph's depiction of the relationship between x and y.
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