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Different Surface _____Carpet________ with Ball ____Tennis____________ Bounce 1 2 3 Speed before bounce, v i 404.0 197.0 130.0 Speed after bounce, v f 247.0 148.0 110.0 h 0 h 1 h 2 h 3 116.8 53.1 25.7 18.4 CALCULATIONS Ratio of Speeds C R values Ball 1 Ball 2 Ball 3 Different Surface Speeds from Bounce 1 0.666 0.865 0.882 0.611 Speeds from Bounce 2 0.666 0.9577 0.857 0.751 Speeds from Bounce 3 0.810 0.851 0.923 0.846 Root of Ratio of Heights C R values Ball 1 Ball 2 Ball 3 Different Surface Heights from Bounce 1 0.78 0.871 0.836 0.67 Heights from Bounce 2 0.803 0.872 0.866 0.69 Heights from Bounce 3 0.758 0.878 0.851 0.84
Questions: 1. Examine your values for both methods. (speeds and heights). Does one set of measurements give a more consistent value of the coefficient or restitution? Explain. Height-based measurements show more consistency in calculating the coefficient of restitution, with lower standard deviations compared to speed-based calculations. This suggests that height measurements are likely more reliable for assessing the elastic properties of collisions 2. Are any of the values you obtained for the Coefficient of Restitution greater than one? What does this mean? Is this reasonable to expect?No coefficients of restitution exceeded one, confirming that the energy conservation principles are upheld in the experimental conditions. This validates the accuracy of the experimental setup and measurements.
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