Lab 8_WADE

PDF.js viewer 10/30/23, 4:20 PM - B Part I: Elastic Collisions —l For Part |, select “Elastic Collision™. Please refer to below illustration and formula for before and afier collision in one dimensional elastic collisions (along the x-axis). Before Collision ) ] v After Collision (vi)i m; mi [T ma (v ] > x -> x Pitotat = Pui + Pai = myBy; + myiy Prrotar = Pig + Pay = Mibyy + maby, A. Carts with Equal Masses Case 1: 1. Place the red cart on the left end of the track and the blue cart in the middle of the track. 2. Set the velocity of the blue cart to 0 m/s and set the velocity of the red cart to 10 m/s and both masses to 1 kg. 3. Click “Start” to run the simulation and find the velocities of each cart after the collision, then use the values to calculate the momentum of each cart before and after the equation. 4. Record the results in the data table including units. (Do not write the calculations in the table.) Cart Initial Momentum Final momentum Change in O -1 D (before collision) (p); | (after collision), (p)s momentum, 4p Red (1) £1\% 0 =10 Blue (2) 0 410 T ) 10 -0 System Total \Q \0 0 5. Show your calculation for initial momentum of each cart and find the total initial momentum of o the system. P o Qi =MV gt Q”“\o \ \ y ) v Rpe 4-\/1. (\"’I“Ww\lh “Lfl ( °Woh\) \O 0 6. Show your calculation for final momentum of each cart and find the total final momentum of the system. fs = i) 2 i 5 \ (10) 10 htips://d2!.lonestar. edu/d2I/comman/assets/pdfjs-d2l-disll'l.o,‘ld-lega,.dered-pdl&lullscroen:dzI-lllevlomr-undomd-pdf-dhloglholnht:%lto Page 2 of 10

10/30/23, 4:20 PM PDF.js viewer ’l) \1 =90 - . y Vl‘rfi_‘ —ml\/l‘+m'L\/L" Case 2: 1. Place the carts at opposite sides of the track. 2. Keep the masses the same and set the velocity of the red cart to 10 m/s (+x direction) and the blue cart to -10 m/s (-x direction). 3. Run the simulation and record the final velocities. 4. Calculate the initial and final momenta of each cart and record the values in the data table. Cart Initial Momentum (before collision) (p); | (after collision), (p)s momentum, 4p Red () 0 10 T gL System Total D D 0 [ Final momentum Change in ( = , 0-/O 5. Show your calculation for initial momentum of each cart and find the total initial momentum of the system. p\ Evn, Vi, p?." - mtVzi Uiy) (10 ys) (1eq) L-10) 10 i 6. Show your calculation for final momentum of each cart and find the total final momentum of the system. Dd." = W P 4 SNVt Ui Y1-10) Lleq) Lo ~\D \0 21.lonestar.edu/d2|/common/assets/pdf]s-d2I-dist/1.0.14-lega..dered-pdfafullscreen=d2|-fileviewer-rendered-pdI-dialogaheight=064#0 Page 3 of 10 https://d

B e R e e e PDF.js viewer h“»’il g | | jé ¥ = h ; B. Carts with Unequal Mass oty Case 1: 1. Set the red cart mass to m; =3 kg, mass of the blue cart to m> = 1 kg. 2. Place the red cart at the far left with initial velocity of +10 m/s and the blue cart in the middle with zero velocity. 3. Run the simulation, calculate the momenta of each cart before and after, and record your results in the table. 10/30/23, 4:20 PM Cart Initial Momentum Final momentum Change in l S -3 (before collision) (p); | (after collision), (p)s momentum, Ap - Red (1) 30 1S -15 | 5= Biue ) © IS 1S System Total fb’o 3 O b g L10) P1q(5) 3o is Case 2: liglo) 1 (15) 1. Start the carts at opposite ends of the track. 2. Set the red cart m; = 1 kg with velocity +10 m/s and the blue cart m; = 3 kg with -10 m/s. Cart [ Initial Momentum Final momentum Change in -—ZP [ ' (before collision) (p); | (after collision), (p)r momentum, 4p Red (1) 10 -Zo ~10 °-1-39 Blue (2) 10 (o) 20 System Total -0 -1.0 10 1110) 2(-\0) W-2) 3l0) PartlSummary: o ~30 -1D O Summarize the results of Part I. Use your data as evidence to discuss if momentum is conserved in elastic collisions. What happened to the momentum of each cart as the result of the collision? How about the total momentum of the system? o memum and Kintdi( enerqy 15 Lonserved. Whtn i dws tarty Collided mn‘mu, +L¢1 trclangd Enerqy Widhov! any enevgy 05 and e 7078l inomandvin 18 e Sysicm riiatned [ongiads https://d2l lonestar.edujd2l/common/assets/pdljs-d2i-dist/1.0.14-lega_dered-pdiafullscreen=d2i-fileviewer-rendered-pdf-dialog&height=95440 Page 5 of 10

PDF.js viewer E Part 11: Perfectly Inelastic Collisions For Part I1, select “Inelastic Collision”. Please refer to below illustration and formula for before and after collision in one dimensional inelastic collisions (along the x-axis). Note that carts stick and have a common final velocity. Before Collision After Collision 1 1 T T — — fi.;vm,z-——~r———o——-1—— Tm; ()i | n> Pitotar = Pui + Pai = mydy; + myiy Prrota = Piy + Pay = (my + my)v; Case 1: 1. Set the type of collision to Inelastic. 2. Give the carts equal masses of 1kg. 3. With the blue cart at the center of the track at rest and red car at the left end, set the initial velocity of the red cart to +10 mJs. 4. Run the simulation and record your results in the table. Cart Initial Momentum Final momentum Change in (before collision) (p); | (after collision), (p); momentum, 4p Red (1) |D {6 ¥ Blue (2) 9 \0 10 System Total \D 10 1D 5. Show your calculation for initial momentum of each cart and find the total initial momentum of the system. \ (\03 ‘ \ 0\ . w0 6. Show your calculation for final momentum of each cart and find the total final momentum of 41 1) the system. 10/30/23, 4:20 PM https://d2i.lonestar. odu/dzIIcommonllmtledfll-dzl-dmn.o.1l-lom-dmd-pdlllullscrnnadzI-fllovlomr-nndmd-pdf-dhloghholnht=96“0 Page 6 of 10 ps:, .| &

PDF.js viewer 10/30/23, 4:20 PM 4. Show your calculation for initial momentum of each cart and find the total initial momentum of the system. 2(%) [(-3) 1 - 5. Show your calculation for final momentum of each cart and find the total final momentum of the system. 1%¢1) 1.5 lo L Part I11: Explosions For Part 11, select “Explosions™. Another type of inelastic collision occurs when an object breaks up into 2 or more fragments. This type of collision is called an explosion, which looks like a perfectly inelastic collision going backward in time. Please refer to below illustration and formula for before and after collision in one dimensional explosions (along the x-axis). Note that carts are initially stuck together and have a common initial velocity. Before Explosion After Explosion Pirotat = Pri + Pai = (my + m2)¥; Priota = Piy + By = ¥y, + mydy, h"ps;//dz|,|onestar.edu/d24/commonllnonlpdf]s-dzl-dlsm.o.14—looa..dond-pdlMuIlscuon=d2I-flI.vlowor-mndomd~pdt-dhlog&h.lght=96uo Page 8 of 10 QY IFEE [

PDF.js viewer Case 1: L, 4, MV 1. Place the two carts at the center with equal masses of 1kg. 2. Run the simulation and record your observations and results. [ Cart | Initial Momentum | Final momentum | ’Clfifige in | 7‘ (before collision) (p); | (after collision), (p)r momentum, 4p [ Red (1) o b =D | Blue () ) | ID i System Total o) . [ j 3. Show your calculation for initial momentum of each cart and find the total initial momentum of the system. ([41)0 4. Show your calculation for final momentum of each cart and find the total final momentum of the system. Case 2: 1. L0 -1> | [10) ID Place the two carts at the center and set the red cart mass to 3 kg and blue to 1 kg. 2. Run the simulation and record your observations and results. Cart " Initial Momentum Final momentum Change in (before collision) (ps)i | (after collision), (px)y | momentum, 4p, Red (1) o 1.1 4.1 Blue (2) 0 1O 1D System Total O O-1 D. | (HH O hitps://d2! Ioncsur.edu/dzllcommonlllulllpd'll-dzl-dllll‘.o.‘ld-ha!-dmd-pdflmllmn-dlI-llhvllvm'-nMond-pd'-dhlonlhllghmello 3(-3.%) -94 1(D) . \0 10/30/23, 4:20 PM Page 0 of 10 A