# Physics

## Conservation of E and P

 Part (1) Mass of Light Cart: 573.5 ± 0.1 grams = ML ± SML Fin length: 6 ± 0.1 centimeters = DL ± SDL Mass of Heavy Cart: 1691.1 ± 0.1 grams = MH ± SMH Fin length: 6 ± 0.1 centimeters = DH ± SDH Distance between Photogates: 70 ± 0.1 centimeters = Do ± SDo Part (2) Data Table 1: Linear Motion of Light Cart Time (sec) uncertainty (sec) 0.257198 0.03 63.69900 28.71094 -6.819508699 31.4232975764 0.351391 0.03 1.425185 0.03 55.70307 21.94047 1.532899 0.03 Data Table 2: Linear Motion of Heavy Cart Time (sec) uncertainty (sec) 0.251884 0.03 49.54583 17.37761 -4.74925 14.48465 0.372984 0.03 1.763335 0.03 42.30715 12.65707 1.905155 0.03 Part (3) Data Table 3: Heavy Cart Incident upon Light Cart (Elastic Collision) Time (sec) uncertainty (sec) 32.6 0.304995 0.03 81.20179 46.64435 0.378885 0.03 0.9309 0.03 99.45960 69.96815 0.991226 0.03 1.761019 0.03 35.93180 9.14904 1.928002 0.03 Data Table 4: Elastic Collision 0.55753 0.64052 0.10917 0.05559 0.28366 0.39910 0.39283 0.4029522852 0.16471 ± 0.7567289715 Joules Part (4) Data Table 5: Light Cart Incident upon Heavy Cart (Elastic Collision) Time (sec) uncertainty (sec) 32.6 0.100884 0.03 104.10702 76.65780 0.158517 0.03 1.198495 0.03 36.14697 9.25870 1.364484 0.03 2.056196 0.03 10.39110 0.78289 2.633613 0.03 Data Table 6: Elastic Collision 0.31079 0.45769 0.00310 0.00047 0.11048 0.05660 0.11358 0.0565986673 0.19721 ± 0.4611745369 Joules Part (5) Data Table 7: Heavy Cart Incident upon Light Cart (Inelastic Collision) Time (sec) uncertainty (sec) 32.6 0.448185 0.03 66.29908 31.10099 0.538684 0.03 1.518384 0.03 40.58657 3.51786 2.008694 0.03 Data Table 8: Inelastic Collision 0.37167 0.34870 0.18652 0.03233 0.18515 ± 0.3501950946 Joules Analysis (1) Done in Part (2) Analysis (2) Data Table 9: Kinetic Frictional Force light cart -0.03911 0.18021 0.00696 heavy cart -0.08031 0.24495 0.00485 Analysis (3) Done in Parts (3), (4), (5) Analysis (4) Data Table 10: Kinetic Frictional Force Part (3) Part (4) Part (5) Part (3) ± Joules Part (4) ± Joules Part (5) ± Joules Analysis (5) (ignore thermal energy generated by kinetic friction) °C Analysis (6) Summarize results of Analysis (5) & (6) Analysis (7) Data Table 11: Heavy Cart Incident upon Light Cart (Elastic Collision) ± kg m/sec Data Table 12: Light Cart Incident upon Heavy Cart (Elastic Collision) ± kg m/sec Data Table 13: Heavy Cart Incident upon Light Cart (Inelastic Collision) ± kg m/sec 0.1 ± 0.01 seconds Assume fractional uncertainty is 10% Data Table 14: Heavy Cart Incident upon Light Cart (Elastic Collision) Heavy Cart Incident upon Light Cart (Elastic Collision) ± kg m/sec Light Cart Incident upon Heavy Cart (Elastic Collision) ± kg m/sec Heavy Cart Incident upon Light Cart (Inelastic Collision) ± kg m/sec

The total kinetic energy of the carts before collision is more than The total kinetic energy of the carts after collision, and they do agree within their uncertainties. Also, the conservation of energy is being violated because there is alot of energy is missing from the final kinetic energy.

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