Collisions Lab

Collisions in deuce Dimensions bring up This lab was conducted to investigate the theories of preservation of impulsion and energizing capacity in different eccentric persons of 2D hits. In order to do this, both an stretchyised and springless hit was conducted on an air table with pucks. A video was taken and canvas to assign fastness, al crusheding for prospective finding of urge and kinetic faculty determine. By finding these, it was possible to determine which kind of collision took place. With low values of throw in momentum and kinetic cipher that occurred in resilientized collisions, it is tacit that both argon conserved in this type of collision.However, in the inelastic collision, momentum is conserved season kinetic slide fastener is not. Possible geological fault in this lab may have resulted from the neglect of encounter and rotational kinetic zippo. Overall, however, the results matched up well with the evaluate values. The target of the lab was therefore met. Objective The objective of this lab is to choke off that momentum allow for be conserved in all forms of collisions, and that kinetic energy bequeath be conserved just now in elastic collisions. Materials Materials used in this lab were a video camera, an air table with pucks and Velcro bands, and lumber jacket Pro software.Procedure Videos of collisions of air hockey pucks will be recorded onto the computers hard drive. Two different types of collisions will be analyzed. The first will be nearly-elastic, with each puck going recount directions after the collision. The other type is completely inelastic with each buck bearing Velcro so as to stick together upon collision. The first collision requires first setting an origin on the video. apply the Set Scale tool, a distance exceed will be set. Trajectory of the center puck is marked and an arbitrary eon is picked at which entropy will begin being extracted.Points will then be added one frame at a time until enough measurements are taken in the first place and after the collision. This is then repeated on the attendant puck. This is done for both the center and the white spread on each puck. This data is automatically entered into lumberman Pro. The data sets are then graphed. Straight lines are fitted to the graphs to determine the velocities , wich will be used to determine angular speed of the pucks rotation. A new video will be analyzed in part two. In this collision the built in bed of the center of mass of both pucks will be tracked, along with the position of the center of one of the pucks.This will result in 8 sets of data points. bilinear fits are used to determine the velocity components of each. rung is then used to calculate angular velocity. Results whippy impact citizenry 1 Mass 2 V1ix V1iy V1fx V1fy V2fx V2fy 0. 05 0. 05 2. 557 1. 511 0. 077 1. 056 2. 488 0. 3909 delusions 0. 003525 0. 003886 0. 002806 0. 003190 0. 00481 0. 003588 P1ix P1iy P1i P2 ix P2iy P2i Pi lend 0. 1279 0. 0756 0. 04174 0 0 0 0. 04174 Errors 0. 0001061 0 0. 0001061 P1fx P1fy P1f P2fx P2fy P2f Pf bring ? P ? P/Pi 0. 1654 0. 03378 0. 03761 0. 01316 -0. 00198 0. 01331 0. 05092 0. 00918 0. 2199 Errors 0. 001665 0. 000224 0. 00168 KE1i KE2i KEi Tot KE1f KE2f KEf Tot ? KE ? KE/KEi 0. 01767 0 0. 01767 0. 01435 0. 001796 0. 01615 -0. 00152 -0. 08602 INELASTIC COLLISION Mass 1 Diameter 1 Mass 2 Diameter 2 V1ix V1iy V1fx V1fy V2Fx V2Fy 0. 052 . 05 0. 052 0. 05 1. 361 1. 231 0. 7372 0. 9625 0. 5867 0. 9481 Errors . 007372 . 005637 . 04805 . 02558 . 007288 . 02936 P1ix P1iy P1i P2ix P2iy P2i Pi Tot 0. 2832 0. 02731 0. 03934 0 0 0 0. 03934 Errors 0. 000164 0 0. 000164 P1fx P1fy P1f P2fx P2fy P2f Pf Tot ? P ? P/Pi 0. 01479 0. 01901 0. 02409 0. 02274 0. 02443 0. 03338 0. 03338 -0. 00596 -0. 1515 Errors 0. 000242 0. 000243 0. 000343 ? KE1i KE2i KE rot i KEi Tot KEf lin = KE1f = KE2f KEf Rot KEf Tot ? KE ? KE/KE i 3. 27 0. 015 0 0 0. 015 0. 005387 0. 003397 0. 008784 -0. 00622 -0. 4144 Data Analysis Angular speed =vr Conservation of Momentum Elastic x-component 1v1ix+m2v2ix=m1v1fx+m2v2fx 502. 557+500=50. 077+502. 488 127. 85=128. 25 Error. 311% y-component m1v1iy+m2v2iy=m1v1fy+m2v2fy 501. 511+500=501. 056+50. 3909 75. 55=72. 345 Error4. 24% Inelastic x-component 50(1. 361)+50(0)=50(. 7372)+50(. 5867) 68. 05=66. 2 Error2. 8% y-component 50(1. 231)+50(0)=50(. 9625)+50(. 9481) 109. 675=95. 53 Error12. 9% Conservation of energizing Energy 12m1v1i2+12m2v2i2+12I11i2+12I12i2= 12m1v1f2+12m2v2f2+12I11f2+12I12f2 12506. 54+1250(0)+12(15625)(. 01)+12(15625)(. 003)= 12(50)(. 006)+12(50)(6. 19)+12(15625)(. 0018)+12(15625)(. 0002) 265. 0625=270 Masses calculated in kg*Velocities measured in m/s *Momentums measured in kgm/s*Energies measured in J * ? measured in rad/s Discussion The theories of conservation of momentum and conservation of energy in collisions in two dimensions were supported in this lab . While conservation of momentum was supported through both elastic and inelastic equations, conservation of energy was supported only through elastic collisions. Rotational kinetic energy as well played a role in the results. The theories are highly supported due to the low amount of error present in this lab.In reason the final results of kinetic energy and momentum, mass and velocity measurements were used. Momentum and kinetic energy are variables babelike on those of mass and velocity, the independent variables. Because the graphs were position vs. time graphs, the velocity could be derived by looking at the slope. Because the change in momentum in the elastic equation was a relatively small change, momentum in this collision was proven to be conserved. kinetic energy was also conserved, as is characteristic of elastic collisions, with another very small change.As expected, momentum was also conserved for the inelastic collision. Although the change in kinetic energy was sm all, the fact that there was some change supports it being an inelastic collision. Energy was not conserved, as expected. Some error in the lab could be contributed to the nearly (but not quite) frictionless air tables. notwithstanding slight friction may have touch the data. Another contributing factor to overall error could be the rotational kinetic energy not accounted for in the elastic collision, seeing as energy would have been added to the system.This error could be reduced or eliminated by taking rotational kinetic energy and friction into account. Conclusion The objective of this lab was to support the theories of conservation of momentum in both elastic and inelastic collisions, and to support the theory of kinetic energy conservation in elastic collisions. Because the changes in the values of kinetic energy and momentum were so small, they proven insignificant and the theories were supported. Therefore, the objective of the lab was met.