Data Analysis [10 goints! SHO WALL WORK FOR FULL CREDIT: For Case 2 and Case 3, perform the following calculations using the equations provided in the lab manual: Initial momenta for cart 1 (pm) and cart 2 (pm; Initial total momentum (pig Final momenta for cart 1 (pr) and cart 2 {psz Final total momentum (pf; Percent change in momentum for the system (MI VVVVV Initial kinetic energy for cart 1 (KEu) and cart 2 (Kl-Em; Initial total kinetic energy (W Final kinetic energy for cart 1 (Kl-31f) and cart 2 (KEsz Final total kinetic energy (m Percent change in kinetic energy for the system CAKE; VVVVV For Case 1 only, perform the following calculation: > Ratio of initial relative speed to nal relative speed (RE Case # - Pli (kg.m/s) Mi P zi PIE P 2f KEli (J) KE2i (J) KEIf (J) Pi Ap type of mi (kg) m2 (kg) Vli (m/s) V2i (m/s) Vir (m/s) V2f (m/s) (kg.m/s)M2 (kg.m/s)M1 (kg.m/s)M2 KE2f (J) (kg.m/s)Pli Pf (kg.m/s) mix PIf+P2f (kg.m/s)Pf- KE; (J) KEf (J) AKE (J) x Vli collision x V2i mlxvli2/2 xVIf vIf 2/2 mlxvli^2/2 x V2f +P2i Pi Elastic 1 0.25 0.25 0.8684 O 0 0.868 0.2171 0 0.217 0.0942648 0 0.094178 0.21717 0.217 0.00017 0.0942648 0.094178 -0.0000868 Elastic 1.5 0.25 0.25 O 0 OC 0.8705 0.9131 0.217625 0.228275 0.0947213 0.10422 0.217625 0.228275 0.01065 0.0947213 0.10422 0.0094987 Elastic 2 .25 0.45 0.8683 0m/s 0.2474 0.61665 217.075kg/ms 61.85 0.2774925 94.243 O -7.65 85.55 217.075 -61.572508 -278.925 94.243 7. 17.34 Elastic 2.5 0.25 0.45 0.8683 0m/s -0.2475 0.6165 0.217075 -0.061875 0.277425 94.24 7.65 85.51 0.217075 0.21555 -0.703 94.24 93.16 -0.01146 Elastic 3 0.35 0.3 0.8683 0.7336 0.8683 0.9985 .303906 0.22008 -0.303905 0.26049 0.1319404 -0.0807253 -0.1319404 -0.1495503 0.083826 -0.564395 -0.648221 0.051215 -0.2814907 -0.332706 Elastic 3.5 0.35 0.3 0.8684 -0.8684 -0.7337 1.158 0.30394 -0.26052 0.256795 0.3474 0.1319 -0.1131178 -0.0942052 0.2011446 0.04342 0.604195 0.0187822 0.1069394 0.0881572 Inelastic 1 0.3 0.3 0.4299 0.8648 -0.217 0.173 1.0299 0.1349 0.0519 0.5249 0.0277221 0.1121819 0.0070634 0.0044894 0.895 0.5768 1.4718 0.139904 0.0115527 -0.1283513 Inelastic 1.5 0.3 0.3 0.4299 -0.869 -0.217 -0.2168 1.0299 -0.1391 -0.0561 -0.5729 0.0277221 0.1132742 0.0070634 0.0070503 0.8908 -0.629 -1.5198 0.1409963 0.0141137 -0.1268826 Inelastic 2 0.3 0.6 0 0.8683 -0.5775 0.5777 0 0.52098 0.5458 1.4235 0 0.2261835 0.0500259 0.1001212 -0.52098 1.9693 1.44832 0.2261835 0.1501471 -0.0760364 Inelasstic 2.! 0.3 0.6 0 -0.8704 -0.5775 -0.5776 -0.2704 -0.5479 -1.4255 0 0.2272788 0.0500259 0.1000865 -0.2704 -1.9734 -1.703 0.2272788 0.1501125 -0.0771663
