D. Inquiry into the conservation of kinetic energy. 1. Calculate the initial and final kinetic energy KEi and KEfof f the system using the values in Table 1 and Table 4. Kl=21mAvAl2+21mBvBl2Kf=21mAvAf2+21mBvBf2 2. Calculate the kinetic energy change in collision: a. Use the data from one of the trials in Part A to calculate the kinetic energies of the two-cart system before and after collision. Then calculate the difference K=KIK1, and K/K. What percentage of the kinetic energy was lost? b. Use the data from one of the trials from Part C to calculate the change in kinetic energy before the after collision. What is the percentage change of the kinetic energy of the system? c. If the total kinetic energy of the system is conserved, the collision is said to be elastic. If the kinetic energy of the system is not conserved, the collision is said to be inelastic. Momentum should be conserved for either type of collision. \begin{tabular}{|r|r|r|r|r|r|r|} \hline Pai & Pbi & Paf & Pi & Pbf & Pf & p/ pi \\ \hline 0.130672 & 0 & 0.0266915 & 0.130672 & 0.213969 & 0.240661 & 10.99882 \\ \hline 0 & 0.1508325 & 0.2488178 & 0.150833 & 0.025061 & 0.273879 & 12.30467 \\ \hline \end{tabular}