Collisions Lab

Collisions in Two Capacity Abstract: This lab was conducted to summon the theories of perpetuation of momentum and kinetic soul in irrelative archetypes of 2D encounters. In regulate to do this, twain an ductile and inductile encounter was conducted on an air table delay abortions. A video was smitten and analyzed to enumerate despatch, allowing for forthcoming opinion of momentum and kinetic soul values. By opinion these, it was likely to enumerate which bark of encounter took settle. Delay low values of modify in momentum and kinetic soul that occurred in ductile encounters, it is implicit that twain are conserved in this archearchesign of encounter. However, in the inductile encounter, momentum is conserved conjuncture kinetic soul is not. Likely fallacy in this lab may enjoy fruited from the omission of attrition and recurrenceal kinetic soul. Overall, at-last, the fruits matched up polite delay the expected values. The external of the lab was hence met. Objective: The external of this lab is to assistance that momentum gain be conserved in all forms of encounters, and that kinetic soul gain be conserved merely in ductile encounters. Materials: Materials used in this lab were a video camera, an air table delay abortions and Velcro bands, and Logger Pro software. Procedure: Videos of encounters of air hockey abortions gain be commemorative onto the computer’s unyielding stimulate. Two irrelative archetypes of encounters gain be analyzed. The pristine gain be almost-elastic, delay each abortion going disjoined directions succeeding the encounter. The other archearchesign is totally inductile delay each buck manner Velcro so as to adhere simultaneously upon encounter. The pristine encounter requires pristine elucidation an cause on the video. Using the Set Lamina instrument, a absence lamina gain be set. Trajectory of the life abortion is notable and an tyrannous interval is chosen at which basis gain prepare nature extracted. Points gain then be borrowed one find at a interval until abundance measurements are smitten precedently and succeeding the encounter. This is then numerous on the easily-under abortion. This is produced for twain the life and the unblemished dot on each abortion. This basis is automatically entered into Logger Pro. The basis sets are then graphed. Straight lines are earning to the graphs to enumerate the velocities , wich gain be used to enumerate awry despatch of the abortion’s recurrence. A new video gain be analyzed in separate two. In this encounter the lie of the life of bulk of twain abortions gain be tracked, along delay the lie of the life of one of the abortions. This gain fruit in 8 sets of basis points. Linear fits are used to enumerate the despatch components of each. Radius is then used to consider awry despatch. Results: ELASTIC COLLISION| | Bulk 1| Bulk 2| V1ix| V1iy| V1fx| V1fy| V2fx| V2fy| | | 0. 05| 0. 05| 2. 557| 1. 511| 0. 077| 1. 056| 2. 488| 0. 3909| | Errors| | | 0. 003525| 0. 003886| 0. 002806| 0. 003190| 0. 00481| 0. 003588| | | P1ix| P1iy| P1i| P2ix| P2iy| P2i| Pi Tot| | | | 0. 1279| 0. 0756| 0. 04174| 0| 0| 0| 0. 04174| | | Errors| | | 0. 0001061| | | 0| 0. 0001061| | | | P1fx| P1fy| P1f| P2fx| P2fy| P2f| Pf Tot| ? 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| | Bulk 1| Diameter 1| Bulk 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/KEi| | 3. 27| 0. 015| 0| 0| 0. 015| 0. 005387| 0. 003397| 0. 008784| -0. 00622| -0. 4144| Basis Analysis: Awry Despatch =vr Perpetuation 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 Error:4. 24% Inelastic: x-component 50(1. 361)+50(0)=50(. 7372)+50(. 5867) 68. 05=66. 2 Error:2. 8% y-component 50(1. 231)+50(0)=50(. 9625)+50(. 9481) 109. 675=95. 53 Error:12. 9% Perpetuation of Kinetic Soul 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 measured in [kg]*Velocities measured in [m/s] *Momentums measured in [kgm/s]*Energies measured in [J] * ? measured in [rad/s] Discussion: The theories of perpetuation of momentum and perpetuation of soul in encounters in two capacity were assistanceed in this lab. Conjuncture perpetuation of momentum was assistanceed through twain ductile and inductile equations, perpetuation of soul was assistanceed merely through ductile encounters. Rotational kinetic soul so played a role in the fruits. The theories are very-much assistanceed due to the low total of fallacy confer-upon in this lab. In careful the ultimate fruits of kinetic soul and momentum, bulk and despatch measurements were used. Momentum and kinetic soul are variables resting on those of bulk and despatch, the inresting variables. Because the graphs were lie vs. interval graphs, the despatch could be ascititious by looking at the mount. Because the modify in momentum in the ductile equation was a proportionately fine modify, momentum in this encounter was proven to be conserved. Kinetic soul was so conserved, as is peculiarity of ductile encounters, delay another very fine modify. As expected, momentum was so conserved for the inductile encounter. Although the modify in kinetic soul was fine, the truth that there was some modify assistances it nature an inductile encounter. Soul was not conserved, as expected. Some fallacy in the lab could be contributed to the almost (but not perfectly) attritionless air tables. Even contempt attrition may enjoy affected the basis. Another contributing truthor to overall fallacy could be the recurrenceal kinetic soul not representationed for in the ductile encounter, vision as soul would enjoy been borrowed to the arrangement. This fallacy could be depressed or eliminated by vestibule recurrenceal kinetic soul and attrition into representation. Conclusion: The external of this lab was to assistance the theories of perpetuation of momentum in twain ductile and inductile encounters, and to assistance the system of kinetic soul perpetuation in ductile encounters. Because the modifys in the values of kinetic soul and momentum were so fine, they proved mean and the theories were assistanceed. Therefore, the external of the lab was met.