I need help with physics lab report
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.