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Physics Lab 6 - Lab 6 Energy of a Rolling Object Elliot...

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Lab 6: Energy of a Rolling Object Elliot Blau Lab Partner: Taylor Gammons 3/26/2008 TA: Zheng Ren Section 434, 4:00-5:30PM Pledge: I pledge that no unauthorized assistance has been given or received in the completion of the work presented in this report. ________________________
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Data Analysis: Height of Ramp (m) Average x 2 (m 2 ) Standard Deviation (m 2 ) 0.172 0.339 3 10 8 . 1 - × 0.203 0.404 4 10 0 . 9 - × 0.236 0.484 3 10 3 . 2 - × 0.285 0.604 3 10 7 . 4 - × 0.325 0.696 3 10 6 . 6 - × Table 1: Height, average range 2 , and standard deviation of average range 2 for the metal ball Linear Regression of range squared against height of the ramp y = 2.3547x - 0.0695 R 2 = 0.9995 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Height of the ramp (m) Range squared (m) Plot 1: Linear regression line of range squared vs. height of ramp, including R 2 value and equation of the line for the metal ball Theoretically Experimentally Percent error Uncertainty of k
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Determined k Determined k 0.412 0.400 2.91% 018 . 0 ± Table 2: Data showing the calculated k value obtained from using the slope of the plot above, the theoretical k value, percent error, and uncertainty. Object Average x 2 (m 2 ) Standard Deviation (m 2 ) k Uncertainty of k Ramp Height (m) Wooden Ball 0.311 4 10 3 . 9 - × 0.838 ±0.001 0.172m Hoop 0.216 3 10 1 . 1 - × 1.647 ±0.014 Small Cylinder 0.327 3 10 3 . 4 - × 0.748 ±0.023 Large Cylinder 0.307 3 10 4 . 1 - × 0.862 ±0.019 Table 3: Average range squared, standard deviations, k values and uncertainties for wooden ball, hoop, small cylinder, and large cylinder rolling down the ramp at given height. Sample Calculations: -Average Range 2 and uncertainty at height of 0.172m- 4 2 2 2 2 2 2 2 2 2 2 2 10 3 . 9 1 5 ) 0 ( ) 001 . 0 ( ) 003 . 0 ( ) 0 ( ) 0 ( 339 . 0 5 / 582 . 0 581 . 0 585 . 0 582 . 0 582 . 0
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