PHUN. Phy 521 2/10/2011. What is physics. Kinematics. Physics is. Section 2 1: Picturing Motion
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1 /0/0 Wh phyc Phy 5 Phyc he brnch o knowledge h ude he phycl world. Phyc nege objec mll om nd lrge glxe. They udy he nure o mer nd energy nd how hey re reled. Phyc he udy o moon nd energy. Phyc nd oher cen re nque people who look he world round hem wh queonng eye. Ther oberon led hem o erch or he cue o wh hey ee. Wh mke he un hne? How do he plne moe? O wh mer mde? More oen hn no, ndng explnon o he orgnl queon led o more queon nd expermen. Wh ll cen hope or our powerul explnon h decrbe more hn one phenomenon nd led o beer underndng o he unere. or Phyc PHUN Knemc Where do you ee moon n your le? Brd lyng Bbe crwlng Cr mong Spor Anyme omehng n moon nole knemc. Knemc: he udy o how objec moe. 3 4 Secon : Pcurng Moon Frme o reerence: uon where ll meuremen re ken rom pecc pon o oberon. The ollowng dgrm (pge 3 o ex) how he chnge n runner poon equl me nerl. Wh nerence cn be mde bou he runner elocy n ech deren ce? A re: when he elocy o n objec he me he elocy o he reerence rme whch he objec n. For exmple: A mong creen behnd people n cr beng lmed. Een hough he cr no mong pper w becue he creen. 5 A) A re, B) Mong wh conn elocy C) Accelerng D) Decelerng 6
2 /0/0 Sclr nd Vecor Sclr: A quny h h only mgnude or ze. There no drecon. For exmple: 00 kg, 5 m or 6 ml. Vecor: A quny hng boh mgnude nd drecon For exmple: 7 km Norh (mgnude o 7, drecon Norh) 7 Oher Termnology Poon: A gen pon wh repec o n orgn. Exmple: he Cren coordne (,) he pon or locon where x nd y Dnce: The meuremen beween wo objec or epron. Exmple: he dnce beween me nd you 5 ee Dplcemen: The chnge n poon o n objec. The nl poon mn he nl poon. Th quny cn be eher poe or nege. Exmple: I rn ll he wy round he room nd cme rgh bck o he me po my dplcemen would be zero 8 Speed: The mgnude o moon nd lwy poe. Exmple, 40 km/hr Velocy: The ecor quny or moon, hng boh mgnude nd drecon. Exmple 40 km/hr E (mgnude o 40, drecon E) Velocy cn be ound ung he ollowng ormul d Acceleron: The chnge n elocy wh repec o me, or he re whch elocy chnge. Acceleron ecor quny hng boh mgnude nd drecon. Clock redng: The pecc me h pon. Tme nerl: The derence n me beween wo uccee clock redng. 9 0 #, pge 34 (pd 9) VDT WorkShee #,,3,4 #,,3,3b pge 45 (pd 0) # -3 Secon Reew pge 46 (pd 0) Poon Mch Acy Pg 39 o ex
3 /0/0 Unorm nd on-unorm Moon Unorm Moon: mong conn elocy. on-unorm Moon: he elocy chngng eher n mgnude or nd drecon, or boh. Grph Grph re n excellen ool or nlyzng pern o moon nd deermnng wheher he moon unorm or non-unorm. Poon me grph cn deermne wheher he moon unorm or non-unorm. The lope o poon me grph repreen he elocy. I grph con o rgh lne, he lope conn 3 4 A conn lope men, conn elocy, hereor we he unorm moon The lope o he lne cn be ound ung he ollowng ormul re lope m run x x x y y y Or mply pu y m x 5 6 Aerge elocy: elocy beween wo pon on poon me grph Redenng he equon or lope cn ge u he ormul or erge elocy. m re y d run x d d Or mply pu Aerge elocy cn by ound grphclly by ndng he lope o he lne h connec he wo pon. Aerge elocy cn omeme eem unreonble when he drecon chnge mulple me beween he wo pon o nere. 7 d d Show un 8 3
4 /0/0 Innneou elocy: he elocy o n objec one pecc nn n me. The nnneou elocy cn only be ound grphclly by ndng he lope o ngen lne o dnce eru me grph he pon o nere. Anlyzng Grph Work Shee Innneou Velocy Shee Tngen lne: lne h only ouche grph once. 9 0 Velocy Tme Grph Skech elocy me grph whch expln her rp. I M. Pggy pen 3 hr rowng her rubber cnoe long he le Rer n erge peed o 5 km/hr. Queon: Wh he ol dnce reled by M. Pggy? d km 5km 5 3hr hr V e loc y 5 km /h r Dn ce 3 hr Are hegh x wdh km 5km 5 3hr hr Fnd he re o he recngle rced ou by he grph. Queon: How doe he re o he recngle compre o he ol dnce reled? I he me!!! ** Tol dnce reled cn be ound rom elocy me grph by clculng he re under he cure.** 3 Acceleron Acceleron: The re whch he elocy chnge. Acceleron ecor quny whch cn be n eher poe or nege drecon. Cuon: do no conue + or cceleron wh peedng up or lowng down. Ined hnk bou he elocy ncreng n eher he + or drecon. Exmple: I cr bckng up nd h (-) cceleron elocy wll be ncreng n he nege drecon. ** The cr wll be peedng up.** 4 4
5 /0/0 Conn or unorm cceleron: When he cceleron doe no chnge hough pecc me nerl. on-unorm cceleron: When he cceleron chngng hough pecc me nerl. Smlr o elocy lo poble o he boh erge cceleron (beween wo pon) well nnneou cceleron ( ngle pon). 5 6 Aerge cceleron: cceleron beween wo pon on elocy me grph Redenng he equon or lope cn ge u he ormul or erge cceleron. re m run y x Or mply pu Aerge cceleron cn be ound grphclly by ndng he lope o he lne h connec he wo pon. 7 Show how un work ou 8 Innneou cceleron: The cceleron o n objec one pecc nn n me. The nnneou cceleron cn be ound grphclly by ndng he lope o ngen lne o elocy eru me grph he pon o nere. Exmple: An rplne r rom re, hen proceed down he runwy. I : 0 ec elocy 30 m/, 0 ec elocy 60 m/, 30 ec elocy 90 m/. Fnd he erge cceleron o he rplne or m
6 /0/0 Go oer Grph hee Velocy me grph work Shee Acceleron Concepul Problem Acceleron Problem Anlyzng Grph Work Shee Anlyng Grph Workhee 3 3 Funny ore Pg 7-73 #,3,8,9 (pd 3) Quck Quz # (Inerpreng Grph) Equon o Moon So r n h chper we he looked hree epre qune Dnce Velocy Acceleron A we ll know rom mh cl when you he more hn one rble you need more hn one equon. Here we he our epre rble, hereore we need our dnc equon. + ( ) d + d + All o whch re eced by me 35 + d Thee our equon, h decrbe moon nd re clled The equon o moon or unorm cceleron 36 6
7 /0/0 Deron o he our Equon o Moon Equon # Srng rom our equon or erge cceleron, rerrnge nd ole or nl elocy + 37 Equon # Sr by ung he re under he cure o elocy me grph o nd dnce Velocy V V Tme Th grph h wo pr, he r recngle on he boom nd he econd rngle on he op. 38 Velocy V V ½ ( - ) V Tme Dnce Tol Are Are o Squre + Are o Trngle Dnce (Be x Hegh) + (/ Be x hegh) d + ( ) mply o ge d ( + ) 39 Equon #3 Subue # no # Eq # + Eq # d ( + ) d (( + ) + ) d + 40 Equon #4 Rerrnge # or + Subue no # d ( + ) + d 4 The Four Equon o Moon + Equon # Equon # ( ) d + Equon #3 d + Equon #4 + d 4 7
8 /0/0 Acceleron due o gry A long r rence cn be gnored, cceleron due o gry he me or ll objec he me locon on erh. Acceleron due o gry h he ymbol g nd h boh mgnude nd drecon. Upwrd generlly condered poe drecon. Thereore, llng objec h nege elocy. On he urce o he erh, llng objec generlly h n cceleron o -9.8 m/. bkebll drop GLX demo 43 Problem-olng rege ) When olng problem ung n orderly procedure. ) Red he problem creully. Try o ulze he cul uon. Mke kech necery. 3) Ideny he qune h re gen n he problem. 4) Ideny he quny h unknown, he one you he o nd. 5) Selec he equon or equon h wll rele he gen nd unknown qune. 6) Mke ure he equon cn be ppled o he problem. For Exmple: he cceleron conn? 7)Rewre equon needed o ole or he unknown quny. 8) Subue gen lue ncludng proper un no he equon nd ole. Be ure your nwer n he correc un. 9) Mke rough eme o ee your nwer reonble. 44 Exmple: I cr wh elocy o.0 m/ 0 ec, ccelere re o 4.0 m/ or.5 ec, wh elocy.5 ec?.0 m 4.0 m.5 ec? d + ( )( ) m Exmple: Wh he dplcemen o rn ccelered unormly rom m/ o 33 m/ n 0.0 me nerl? d? m 33 m 0.0 ec ( ) d + ( )( ) d d 440m Exmple: A cr rng rom re ccelere unormly 6. m/ or 7.0 ec. How r doe he cr moe? 0 m 6.m 7.0 ec d? d + d ( )( ) ( )( ) d d 50m 47 Exmple: An rplne mu rech elocy o 7 m/ or keo. I he runwy.0 km long, wh mu he conn cceleron be? + d 7m d.0km 000m? 0 m d ( 7) ( 0) ( 000) m 48 8
9 /0/0 Exmple: The me he Demon Drop rde Cedr Pon, Oho reely llng.5 ec. ) Wh he elocy he end o h me?.5 ec? 0 m g 9.8 m d + ( )( ) m b) How r doe ll whn h me?.5 ec 4.7 m 0 m g 9.8 m d? d + d ( 0)(.5) + ( 9.8)(.5) d 0.05 d m Equon o moon Work Shee Knemc Reew Shee **TEST** 5 9
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