# cons-slope - Paul Gonzales Conservation of Energy Slope...

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Paul Gonzales Conservation of Energy – Slope yi (cm) s (cm) v1 (m/s) v2 (m/s) y1 0 0 0 y2 30 0.625 0.624 y3 60 0.88 0.883 y4 90 1.084 1.084 y5 120 1.247 1.247 y (m) y'= y-y5 (m) Track Scale Location (cm) Displacement (cm) y1 0.088 50 0 y2 0.067 80 30 y3 0.046 110 60 y4 0.023 140 90 y5 0 170 120 v3 (m/s) v avg (m/s) 0 0 mass (kg) 0.625 0.624666667 0.209 0.881 0.881333333 1.078 1.082 1.243 1.245666667 GPE (J) v avg (m/s) KE (J) Et (J) 0.18042552 0 0 0.18042552 0.13736943 0.624666667 0.040776782 0.178146212 0.09431334 0.881333333 0.081170212 0.175483552 0.04715667 1.082 0.122340658 0.169497328 0 1.245666667 0.162151129 0.162151129 - 0.000150659 0.1821802 82 2.22566E-05 0.0016355 21 % uncertainty = uncertainty * 100 / slope = 2.22566E-05* 100 /-0.000150659= -14.77 % Error Analysis:

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Paul Gonzales Our slope of Total Energy versus Displacement gives us a slope of 0.0002, which is close to the expected value of 0. A slope of .0002 is actually acceptable because the accepted value is 0 and falls within one standard deviation of the experimental slope value. Our experimental value had a percent uncertainty of 14.77%, which is acceptable, but not preferred. This experiment would probably not be repeated without some adjustments. Since our slope was not 0, we can conclude that there was either some error in the measurement of the heights we used to calculate the gravitational potential energy, or there was some discrepancy in where we let the cart release from for each trial. For
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