Activity-10. : Momentum Conservation In 2-D Collisions Activity-10. : Momentum Conservation In 2-D Collisions Lab # Who Knows At This Point Co-Authors: None Because We Have Been Abandoned Activity-10. : Momentum Conservation In 2-D Collisions 1 Activity-10. : Momentum Conservation In 2-D Collisions 2 Purpose The purpose of this lab was to verify that momentum was conserved in a collision between two air pucks and determine what type of collision occurred (elastic or inelastic). Equipment The only things needed for this lab are the program Logger Pro and a pen, paper, a computer, and a calculator. Procedure First the video Activity-10. was inserted into Logger Pro and watched. Then points were placed to track the position of the left puck before the collision, and after the collision, along with the position of the right puck before and after the collision. This data was used to create eight graphs: x velocity versus time for the right puck before the collision (Figure 1), y velocity versus time for the right puck before the collision (Figure 2), x velocity versus time for the left puck before the collision (Figure 3), y velocity versus time for the left puck before the collision (Figure 4), x velocity versus time for the right puck after the collision (Figure 5), y velocity versus time for the right puck after the collision (Figure 6), x velocity versus time for the left puck after the collision (Figure 7), and y velocity versus time for the left puck after the collision (Figure 8). These graphs were used to fill out Table 1, Table 2, Table 3 and Table 4. Data Activity-10. : Momentum Conservation In 2-D Collisions Figure 1: X velocity versus time for the right puck before the collision Figure 2: Y-velocity versus time for the right puck before the collision 3 Activity-10. : Momentum Conservation In 2-D Collisions Figure 3: X-velocity versus time for the left puck before the collision Figure 4: Y-velocity versus time for the left puck before the collision 4 Activity-10. : Momentum Conservation In 2-D Collisions Figure 5: X-velocity versus time for the right puck after the collision Figure 6: Y-velocity versus time for the right puck after the collision 5 Activity-10. : Momentum Conservation In 2-D Collisions Figure 7: X-velocity versus time for the left puck after the collison Figure 8: Y-velocity versus time for the left puck after the collision 6 Activity-10. : Momentum Conservation In 2-D Collisions 7 Table 1 Table 2 Left Puck Right Puck Before After Before After VLix 0.3373 VLfx -0.04981 VLiy -0.1697 VLfy -0.4415 VRix 0.06338 VRfx -0.00038 PLix 0.101 PLfx -0.015 VRiy 0.6319 VRfy 0.6117 PLiy -0.051 PLfy -0.132 PRix 0.019 PRfx -1.14x10-4 VLi 0.378 VLf 0.444 PRiy 0.189 PRfy 0.183 VRi 0.635 VRf 0.612 Table 3 System Before After Psysix 0.12 Psysfx -0.015 Psysiy 0.138 Psysfy 0.051 Table 4 Kinetic Energy Before KEsysi 0.0818 After KEsysf 0.0856 Conclusions Activity-10. : Momentum Conservation In 2-D Collisions 8 This experiment only confirmed that kinetic energy was conserved. For some reason, it did not confirm that momentum was conserved. This was most likely due to errors with calculations or with Logger Pro Questions and Answers 1. Why does the location of the origin not matter in this activity? Because we are using vectors so no matter the coordinate system the magnitude will always be the same. 2. Are the x and y components of momentum for the system the same (to within uncertainties) before and after the collision? No they are not. 3. Does the data you have collected indicate that momentum was conserved in this collision? Briefly explain your answer. No, because before the collision the momentum of the system was 0.1829 and after the collision the momentum was 0.0532. These are not the same. 4. Was the kinetic energy of the system the same (to within uncertainties) before and after the collision? Yes it was. 5. What type of collision—elastic or inelastic—was this? Explain your choice. This was an elastic collision because kinetic energy was conserved. Momentum most likely would have been conserved as well, but there seems to be errors in the calculations.