Lab 10

Data: Trial hᵢ (m) dx (m) dt(s) V f = dx/dt (m/s) h f (m) V f form conservation of Energy % Difference 1 0.217 0.104 0.2088 0.498 0.207 0.443 12.4% 2 0.244 0.104 0.1765 0.589 0.223 0.642 17.5% 3 0.289 0.104 0.1417 0.734 0.256 0.804 5.3% 4 0.331 0.104 0.1287 0.808 0.270 1.09 5.5% 5 0.40 0.104 0.1033 1.01 0.335 1.13 8.2% Sample Calculations % Difference = * 100% (? −?) (?+?)÷2 | | | | Discussion: 1. What are some sources of error in this experiment? One source of error in this experiment may be in regards to the cart. It is likely that where the cart was released each time was not exact as it should have been. 2. Did the additional mass affect the air carts' instantaneous velocity at all? Would you expect it to? No, the added weight did not change the velocity of the cart. I did expect it to be a bit slower, but it was the same because of the principles of the conservation of energy. Summary/Conclusion It is fair to assume that the more relevant data used in a formula results in more accurate data points. However, the deviance in the two formulas Vf=dx/dt and Vf=conservation of energy is mostly negligible, the average % difference is below 10% (9.78%=ave % diff). In conclusion, this lab provided valuable insights into the conservation of energy and its application in