Elastic and Inelastic Collisions
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1 laic and Inelaic Colliion In an LASTIC colliion, energy i conered (Kbefore = Kafer or Ki = Kf. In an INLASTIC colliion, energy i NOT conered. (Ki > Kf. aple: A kg block which i liding a 0 / acro a fricionle urface uddenly collide wih a aionary kg block. They ick ogeher, and he hey oe oward an inclined plane of angle 7 o. How far up he incline will hey oe? Wa he colliion elaic or inelaic? ((0 ((0. gh h g. (9.8 in h l h l in.67 in7.9 ((0 0J ((. 6.67J INLASTIC!.67 aple: A 0 kg pendulu bob i hanging a re a he end of a eer long rope. A 00 gra ball i hrown horizonally a he pendulu bob wih a peed of.0000 /. I rike he pendulu bob, and he bounce raigh backward a a peed of.8 /. Wha angle will he pendulu bob wing hrough? Wa he colliion elaic or inelaic? (.( 0(0.( gh h g (.76 (9.8 h l lco.06 co.6 o 0.06 (.( 6.J (.(.8 (0(.76 6.J LASTIC!
2 For LASTIC, HAD-ON, D Colliion i i f f BFOR AFTR Coneraion of Moenu: i i f f If we know all bu one elociy (or a, we can find he iing elociy (or a. Coneraion of nergy: ( ( Pu he wo equaion ogeher (carefully and wih any ep and you ge he following equaion. Wih hee equaion, we can find BOTH elociie of he ball afer he colliion by ju uing he iniial elociy of he ball and he ae of he ball! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Special Cae: If = 0, hen wha happen when.. f i poiie f i poiie a f i negaie f i poiie b f ~ f ~ c f ~ - f ~ 0 d f = 0 e f =
3 HW SOLUTIONS. A cue ball oing o he righ rike he 8-ball (of equal a, and a re in an elaic, head-on colliion. If he cue ball elociy wa iniially /, find he elociy of boh ball afer he colliion. ( 0. A kg red bo i lid acro a fricionle floor wih a elociy of 8 /. If i rike a aionary kg blue bo in an elaic head-on colliion, find he elociy of boh bo afer he colliion *. 8. A kg block i iing on a fricionle able. I i ruck by a g bulle ha i raeling a 0 /. The bulle lodge ielf in he block, which hen begin o lide. The bulle-block hen collide (elaically, and head-on, of coure wih a 0kg bo ha i a re on he able. Find he po-colliion elociie of he bulle-block and he bo. V MV 0.09 ( *.00.9 ( (.00( (0 (.00(0
4 . A 000 kg ruck raeling a 0 / la ino a 0 kg grocery car a re in a parking lo. Find he peed of boh objec afer hi elaic, head-on colliion ( * 000 ( A 000 kg ruck raeling a 0 / la ino a 0 kg grocery car oing oward i a /. Find he peed of boh objec afer hi elaic, head-on colliion * 0 (0 ( * (0 ( A 00 kg go-car oing a 0 / rear end a 00 kg cooer oing a 0 /. Afer he colliion, he go-car bounce backward a a peed 0 /, while he cooer i ped up o an unknown peed. Find he cooer peed. I he colliion elaic or inelaic? plain why hi colliion i IMPOSSIBL. 00(0 00(0 00( K K i f (00(0 (00( 0 (00(0 (00(60,000J 6,000J INLASTIC...YT IM POSSIBL becaue K f canno be greaer han K. i 7. A ball on a 0 c ring i hung fro he ceiling. If he ball i pulled back hrough an angle of 0 o (wih he erical and hen releaed, find he elociy of he ball when i reache he boo of i wing. (Hin: Ue he coneraion of energy B A gh (9.8(..co 0.
5 8. The ball fro proble #6 break a he eac oen ha i reache i aiu elociy, hu becoing a projecile. Find he horizonal diance ha i will rael in he air (afer he ring nap before hiing he ground. below. a y y.08 (.(.7.7ec 0 9.8( (.. 9. Colliion & Pendulu Cobined. The kg ball i hung fro a ring and hung fro a urface aboe a fricionle able. A kg block i lid acro he able wih a conan elociy of /. If i rike he ball in a perfecly elaic, head-on colliion, find he angle ha he pendulu will wing hrough before coing back down. o A B gh co (9.8( ( ( * 0.67 ( / kg kg
v 1 =4 m/s v 2 =0 m 1 =0.5kg m 2 Momentum F (N) t (s) v 0y v x
Moenu Do our work on a earae hee of aer or noebook. or each roble, draw clearl labeled diagra howing he ae and elociie for each objec before and afer he colliion. Don forge abou direcion oenu, eloci and
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