PROJECTILE MOTION AND COEFFICIENT OF RESTITUTION EXPERIMENT NO-1 Objective: To study projectile motion using a bouncing ball on an inclined plane and calculate the coefficient of restitution Name- Aanya Singh Class- 12th Submitted to- Dr. Neetu Verma Date of Submission- 03 July : 2025 Session - 2025-26 rNAbout the «experimental set-up that T Used & OGRE hee Pane Used a sectangular Floor tile (.29¢emy 2osem x O6em) Wh minimise enowy loss fy Futiction » Ch Cup pODEAD To psovide Support. 0° incline -plane at Some an le & used come hack OF lenkrth C16-6 om) Ahd Tom foront used ison haile to Keep this stoucdune Steed . OF dimension’ Smooth, Surface +O Gi at The aswiangement made gor: Anopping the ball «the Point of ( incidence s ing even on voy its height, fing T made +o qe a shoe Coudboosd sheet OF leg (33cm) Vand then QV usi ecto \ G Sheet acher trade ay cavity on ik 4oU pass a plastic ouler From U7}, which V hetps th aNaning. the ball Above The point OF pxgjection « Algo the wid or cavities On the Sheet ane at 6m Gppork oF with the mulHples oF 6m which ts Fong = measune § fiom the base oF sectanpular | caxdboosd gheet- ( 6, 12, 18, 24, 30 cm) is point OF pxofection do measure observed ange CR): peleed just in . an alignment with thex plane ate the oreetan ular Hie in comact with the Fins} place ‘wall ond other Side “ words you) keep it Fix. tell whith was Then adually lift up | the inclined plan tthe \ 1 ( and then with he “ a a, the oe provide. t+ support From back Ond from Ror Ue futon nails + > Alan bo “ veniFy fe with padector and meoypbtne tthe angle orY find and base if ite equal (he encticular) then i+ -Obpwws or verify the obtained | 4 age sto be 45°, f " + As the le T used? was oem thik 0 I caladates ai 45° Fox both inner and outer Aides OF the Poy ectile - Tanetedlde 2 AS Ope iT J outer aide 9 15'6 Fol cmyall | . Rep " puller inse Fey \ a “ aN \ — 7 a a e 3 i Poi nt \ es \ <—k “a > o 3 Par ojecds oh § <— ez ic SON —l6-com : xb “G tosizonl Inclined Plane Cement Block goush R, vs Povk-Ae y US" qr @: tlhe ST 56 28 ae. 452 3 ]2 5 6 a ot 2 43 4 at 8 4S oy beeR, Gn am ) L4G 34 25-9 4s 313 1 35-2 56 3955 The grape shows a clean Hneas chxend » which ConFirw tha+ the obsexved Stange Ry ts aise ee proportvona! to dh. ee 8, « Th Infor. This behaviony modcheg the R Ctheanebical srange) fourmula er = hosttzontal yon th inclined Yebounds Vertical Y ineldence « (| R= 2d Hh I Involvinytk & (in em) (ih tm) : 5.8 22:09 24 29:9} 45 35:62 a1 4058 56 44-96 + The guiphé —confisima that RK vowies Mneasily with Th, just like jhe pbserued range Ay * Ty's consistent vadutads the valide Experimental oclel tLe ce Supposté . "t oF tt(in be Cin em) oR 22.89 a 29:94 435 35:64 So 4058 me 44996 +The guuiphd confi frat RK vowies Wheawly with TR, just Wke the observed range. Ry, ? TNs consistent vation supposé the valid * of the Experimental —Mocled “PP etwh cm) (han) 2a 194 a4 25:9 Ws 3L3 Sob 3552 ‘5+ 39.5 (inem) 22-89 3.49 98°9F yng ost 4.34 4058 5.39 44.96 546 Igy. (15+ 257 9) 194 1-58. 2504 12:25 +f 313 13.26 4° 35.9 hie 345 WH = O525+ O3set+ 0326 FOLWY +o4225 © eee SEE ease = 9330 5 s 22°89 » 29-93 35-64 4058 446%(ouses — 0'1330)" 4 Sum (01358 - 0133097 (1326 — 01330)” 2 0100063 306 Co-l244 -3330)" (o:1225— 0-330) c- -* 010006 33 06 cg = 001258 gor ProcMonal ~ 0126 of = L264. . Saas \. Gy BR, and = Rote quite _ close fo each- Other This Indicates = Minimum en enereny loss + lL, with higher h values become more consi 1 . nsisten ¢- iso indices — Hecluction ih humon © esor ‘sent+ the autor is Jow and consistent , with all pencenlage Boors belween 124. fofard Isfe , The low slandasd deuintion irdicales good — pxecition in the measuxement « a pila egeder ¥ Theoneltteal sange is higher than the Observed range due to 2 Enenoy. lose dung Sstebound (like air dng , : surface furichion, — Imperfect siestitudion , “wotatioh Of the — balls) 19 sighs mis abn menct in poofection LP deviaHon in otebound angles hSome exduinal human ewrorg (like in menauoetng ) * Both Rand Ry, Show consistent and Winear vrelatonship wlth Th R« She Ra Th olmos + aie Oe ee ey . 19-4 22-89 0:6950° lh sig 23-94 0. ¥288 20°4 3153 35.6% 0-549 264 35:2 "40-58 0+ 7349 32-4 39.5 44.96 a FFS2 TO bSEWaHORS? — saIn the 3rd tsial, 4 Sudden Thenease fh _ obsexved song, was seen, Which is most jaxobbbly due +o vor slight deviation induced foxwond moh'on foiom Perfect yerttcal ineidere * Because in theoretical wonge alutasions assume fdeat normal incidence @ no eh loss i tangentiak disection , Which may not Fully opply Wd ahis case >~ Such deviations due. otbected -due to prysical faces Wke ball Spin, angte and SUHFUC € coniack +” . Qnid—vone height (ike Doyem). is mach Serstve. ony exdym violation deuladion or bounce angle Si Cougs maximum deviation Prom tnennedical 4 condton.- be| “the mid-range height axe tow heights, Spin — etd + Values | wo ve @ gmall, less sensttive and Wh -heohiz . Nove loupe Hange but verteal duiop dominates.Except thind chfal » We Can Obsened ~ values oF axe Pons Because an owm.ceduced » human esor be BeHtey allanment with less Spin ¢; Ball sus eS L thug call the colligiong taki ind cue ‘perrectty inelastic., whith . Incweasihe — hes is inoieast ag well indicate,g shad’ loss oF ene ¢ fs te iucingaeaRI=Se ONSET fs stoted , 7 stemoved alt the -suppostt Fon my nclined plane and made i+ ,tbsizontal | with \ts one end * touching the wall. a Now, F using lye T made Gn assay ement- to. get the mauling Jape th vertical -‘ dinectfon ~ i” while perfosiming — the ex pesimenc : t ©_on- the Ground» Fisst T did the (gsround) $0, on the dsropping-- the ball Hom smaller het ht Chy))inmos! oF the tale i+ shows projectile ajectury ( paxabolic path) and algo hard to identify its Movimum height ae & But when axrepented the same For hegher hefphts Such as G0-40em on the ‘goound vin’ some. Yeas es bolt did siobounds +9 vesstically". to @5—30 um) When id Fisgt stuike the getound’, then showed poojech'le « Ago T obsexved that ball onl wiebounds vertical! up when I+ si@bounds heax th point of coll isis of balt 4 ground when it Was dyuopbed - , on Gall a! vt ‘| 4 experiment on the Floos hy3) L ined plane ; a fexfos: m4 the Some expeniment oh the fhelined plane wis q hytcky task. . Flag t did Ht for phe h, lke 80-75 om but botincy- stubbe bal Shows peek — projech'le which was not, t am tating Fost. So ft wsieduced hy to 20-15 cm and -tis Hme aFitx 30-45 futalg batt did Show almost vertical Tneidence » Which 1S QS follows Pi, compasing these values OF Ce) with obtained Values come mn oxtt-B qov fnclined plane , oe prea than those values - 4, Rotation of the ball is Obsesived , iS SubHe though » Bud this SHotadion does. not ey iP the disectio an Treat * ereas 14 oy cause the ball to viebound with spin ey ‘and possibly Could gtve small sideways deviation thot ¥s why QO wy rind and sige Cue ferahectoury th Form nF 6 pwojectile was ohzewed > Howener it cid hot si nificant! ia the Vexticad tuajedoxu co the |neiden f an eonsdexed abnor. Vesrticad ¢' aeTnfenence = 2 ogee, value of (e) in this eage than vVolues oF part se Q clean Phdicatfon that the loss oF KineHe en at the ‘mpacs polod on the inelned i plane ig Seduced pertecty Mnelastic calliston Sut coping with value of e@ 4% Ports Psrevious A potoguiessiveg incureage fn dhe values of e Indicated thot ithe Collision fs becoming elashe » Tabular dota for it ts sibwn below > fost ams : Foe nowimad ‘ e \ . tnefdence (inem) Cintm) hp, ho @ ay 06950 yyy Hs so eaEs yy 0428 ay TE kg 0 O40L 2o-y OFS 49 a ao 264. OF F348 34 (Bs HFS2 + play due to siokadfon shome Some eh ' vies heppentl (happens) ag ball uistes ulase mi m, whe causes ball to th oundl 4 to of eee lower hp that eluant y or th sreallty it Should each Here we Can final Ive yerdict that sete ay almog! » Show vend'ca! inetd ence even thoug h a mild xototipn OF the 1, bal fe Seen:fhe Same ctperiment ab ¢o* fhellnaWvon oF plane Pest Fost ming the Incl/ne Dolo ee | be ear? (nem) (inemy (nem) (inom) _ Los 3-2y 2254 30:2 4:3 1655 Wo 24.3 36 9 1265 Leel DS 165 0'3206 02405 OrF2ls a Th this Case 0 angte «OF inelinavon incneage, bu 1S" than He eonlir one cus’): al- Obsexvation pads Jettatan By hak. Se id > with goeator “ange of fhetination , the R, reduces, Becaus' y atomponeraysO s=vsloelrama FRECHE ci mo co 7 the vertical atebound ‘component seduces masa * Most OF the Velocity Cinitiol) oF ,:ball- gets distecktd inh the inclined stu race when it shotdes the, Polnt oF paiojection —Furom (h) “seuul ting ih 1) Lower sebound heaght ‘ ; i) Showtty “range along ‘the plane | L0SSmathoneasies i Th ot WiFe situationg faricHon cannot be heglected, thug Sttepe® planes cause mote HeeHerd Fuicdlonal | and Noxmal Fostce tnterackon at impact . Atso this bou stubber ball shows ototah'on at the Hime of 4s collision and even belane thus some part oF ono Ps algo lost thene »Q@ the tolligton is modena indaste: 't tamsjontond Deviahon Mndieasek Some vyantah'on deross tuitale 7 WRely due to. angle inconsistencies and forietiona 1S eF Re ay, me i é wall “ /Reak Ii Fe Artuah'on « “AE positions, > ; r Ball has stoned some Potentiad choy at some h height : . Bo AF this position, the enegy stored’ by pall Conveded into some diPrexent Fosung “tug: | Mayimunve. en loss takes place here oily » Algo. h . much “higher fndlYnation angles . cause goreaten 5 - positon, the eneiay stemaiining - all gor Converted to KE and th Fialiy Parad -webourd oF the ball ts Observed at) *Cr A PosiHon :22/23