Axis. Axis. Axis. Solid cylinder (or disk) about. Hoop about. Annular cylinder (or ring) about central axis. central axis.
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1 Insucos: Fel/ce PYSICS DEPATET PY 48 Em Ocoe 3, 4 me pn, ls fs: Sgnue: On m ono, I e nee gen no ecee unuoe on s emnon. YOU TEST UBE IS TE 5-DIGIT UBE AT TE TOP OF EAC PAGE. Coe ou es nume on ou nswe see use lnes 76 8 on e nswe see fo e 5-g nume. Coe ou nme on ou nswe see. DAKE CICES COPETEY. Coe ou UFID nume on ou nswe see. Pn ou nme on s see n sgn lso. 3 Do ll scc wo nwee on s em ou le. Ccle ou nswes on e es fom. A e en of e es, s em pnou s o e une n. o ce wll e gen wou o nswe see n pnou. 4 Blcen e ccle of ou nene nswe compleel, usng # pencl o lue o lc n. Do no me n s ms o some nswes m e coune s ncoec. 5 Te nswes e oune off. Coose e closes o ec. Tee s no penl fo guessng. If ou elee no lse nswe s coec, lee e fom ln. 6 n n e nswe see sepel. Use g 9.8 m/s As oop ou cenl s As Annul clne o ng ou cenl s As Sol clne o s ou cenl s I I I As Sol clne o s ou cenl mee As Tn o ou s oug cene pepencul o leng As Sol spee ou n mee I 4 I I 5 As Tn specl sell ou n mee As oop ou n mee As Sl ou pepencul s oug cene I 3 I I
2 PY48 Fll 4 PY48 Em Fomul See Vecos j j gnues: Scl Pouc: gnue: cos ngle eween n Veco Pouc: j gnue: sn smlles ngle eween n oon Dsplcemen: menson 3 mensons Aege Veloc: e m e 3 m Aege Spee: s e ol snce/ Insnneous Veloc: m 3 m ele Veloc: BC AB AC 3 m Aege Acceleon: e m e 3 m Insnneous Acceleon: m 3 m Equons of oon Consn Acceleon ewon s w n Weg m F ne m mss Weg ne e sufce of e E W mg use g 9.8 m/s gnue of e Fconl Foce µ s sc coeffcen of fcon, µ nec coeffcen of fcon Sc: s s F f µ m Knec: F f µ F s e mgnue of e noml foce Unfom Ccul oon us, Tngenl Spee ω, Angul Veloc ω Cenpel Acceleon & Foce: ω mω m F Peo: ω π π T Pojecle oon oonl sufce ne E, nl spee, nl ngle w oonl nge: g sn eg: g sn Tme of flg: g f sn Quc Fomul If: c Ten: c 4 ±
3 PY48 Fll 4 PY48 Em Fomul See Wo W, ecncl Eneg E, Knec Eneg KE, Poenl Eneg U W KE m Wo: W F F Powe: P F Cons n F Knec Eneg: Wo-Eneg Teoem: KE KE W Poenl Eneg: U F f Wo-Eneg: Weenl KE U Eeml Enenl G e e Sufce of e E -s up: Spng Foce: F ecncl Eneg: ne omenum: Cene of ss CO: e Foce: F omen of Ine: Angul omenum: U F mg U mg U F Wo: W -U E KE U Isole n Consee Ssem: EKEU E E ne omenum, Angul omenum, Toque f p p p m F Knec Eneg: KE Impulse: J p m F P o m CO m o o ne oco Po oco I m p scee I Toque: m Conseon of ne omenum: f unfom p CO Pllel As: p o I ICO f τ F Wo: W τ p en p consn n p f p τ en consn n f F ne Conseon of Angul omenum: f ne oonl Vles ω Angul Poson: Angul Veloc: ω Angul Acceleon: α Toque: τ ne Iα Angul omenum: Iω Knec Eneg: E o Iω Powe: P τω I Ac eng: s Tngenl Spee: ω Tngenl Acceleon: α ollng Wou Slppng: CO CO ω CO α KE CO I CO ω oonl Equons of oon Consn Angul Acceleonα ω ω α ω ω ω α α f
4 . A ll mes n ngle of 5 w e oonl. If 5-g jogge uns snce of m own e ll s sown n e fgue, ow muc wo s one g on e jogge n J? 5,364 38,46 3 5,79 4 5, , 46 5 o. A ll mes n ngle of 5 w e oonl. If 5-g jogge uns snce of 3 m own e ll s sown n e fgue, ow muc wo s one g on e jogge n J? 38,46 5, ,79 4 5, , 46 5 o 3. A ll mes n ngle of 5 w e oonl. If 5-g jogge uns snce of 4 m own e ll s sown n e fgue, ow muc wo s one g on e jogge n J? 5,79 5, ,46 4 5, , 79 5 o 4. e e sufce of e E loc of mss s elese fom es eg m on fconless nclne s sown n e fgue. Te loc sles own e fconless nclne o ec fl oug oonl sufce. If e loc sles oonl snce 5 m long e oug sufce efoe comng o es, w s e nec coeffcen of fcon eween e loc n e oonl sufce? s 5. e e sufce of e E loc of mss s elese fom es eg m on fconless nclne s sown n e fgue. Te loc sles own e fconless nclne o ec fl oug oonl sufce. If e loc sles oonl snce 5 m long e oug sufce efoe comng o es, w s e nec coeffcen of fcon eween e loc n e oonl sufce? s 6. e e sufce of e E loc of mss s elese fom es eg m on fconless nclne s sown n e fgue. Te loc sles own e fconless nclne o ec fl oug oonl sufce. If e loc sles oonl snce m long e oug sufce efoe comng o es, w s e nec coeffcen of fcon eween e loc n e oonl sufce? s 7. e e sufce of e E, n el spng w spng consn s on fconless oonl sufce e se of fconless nclne plne s sown n e fgue. A loc w mss.5 g s pesse gns e spng, compessng 6 cm fom s equlum poson. Te loc s en elesensno ceo espng. Ifelocslessnce m up e nclne plne w 3 efoe comng o es n en slng c own, w s e spng consn n /m?,7 3,67 3 3,8 4, ,6
5 8. e e sufce of e E, n el spng w spng consn s on fconless oonl sufce e se of fconless nclne plne s sown n e fgue. A loc w mss.6 g s pesse gns e spng, compessng 6 cm fom s equlum poson. Te loc s en elesensno ceo espng. Ifelocslessnce m up e nclne plne w 3 efoe comng o es n en slng c own, w s e spng consn n /m? 3,67,7 3 3,8 4, ,6 9. e e sufce of e E, n el spng w spng consn s on fconless oonl sufce e se of fconless nclne plne s sown n e fgue. A loc w mss.7 g s pesse gns e spng, compessng 6 cm fom s equlum poson. Te loc s en elesensno ceo espng. Ifelocslessnce m up e nclne plne w 3 efoe comng o es n en slng c own, w s e spng consn n /m? 3,8,7 3 3,67 4, ,6. Te poenl eneg funcon of pon mss s gen e epesson: U 8, wee s e coone of e o n U s mesue n Joules. Onl consee foces e cng. Fn e nec eneg of e o n J e pon of sle equlum f e mecncl eneg of e o s J Te poenl eneg funcon of pon mss s gen e epesson: U 8, wee s e coone of e o n U s mesue n Joules. Onl consee foces e cng. Fn e nec eneg of e o n J e pon of sle equlum f e mecncl eneg of e o s J Te poenl eneg funcon of pon mss s gen e epesson: U 8, wee s e coone of e o n U s mesue n Joules. Onl consee foces e cng. Fn e nec eneg of e o n J e pon of sle equlum f e mecncl eneg of e o s 4 J Tee unfom sque sls e nge n e -plne s sown n e fgue. Ecofe eesquesemss nsesofleng. If6m, w e e n componens of e cene-of-mss of e ee sl ssem? com 5 m, com 7 m com 7 m, com 5 m 3 com 5 m, com 5 m 4 com 7 m, com 7 m 5 com 4 m, com 7 m -s -s 4. Tee unfom sque sls e nge n e -plne s sown n e fgue. Ecofe eesquesemss nsesofleng. If6m, w e e n componens of e cene-of-mss of e ee sl ssem? com 7 m, com 5 m com 5 m, com 7 m 3 com 5 m, com 5 m 4 com 7 m, com 7 m 5 com 4 m, com 7 m -s -s
6 5. Tee unfom sque sls e nge n e -plne s sown n e fgue. Ecofe eesquesemss nsesofleng. If6m, w e e n componens of e cene-of-mss of e ee sl ssem? com 5 m, com 5 m com 5 m, com 7 m 3 com 7 m, com 5 m 4 com 7 m, com 7 m 5 com 4 m, com 7 m -s -s 6. A smll pece of ceese s plce e cene of n oonl g o of leng. Te o oes oonll oun s cene of mss w n ngul eloc /sec s sown n e fgue. A.5 g mouse ognll snng e ege of e o uns ows e ceese. W s e ngul eloc n /s of e o wen e mouse eces e ceese? / As of oon ouse 7. A smll pece of ceese s plce e cene of n oonl g o of leng. Te o oes oonll oun s cene of mss w n ngul eloc /sec s sown n e fgue. A.5 g mouse ognll snng e ege of e o uns ows e ceese. W s e ngul eloc n /s of e o wen e mouse eces e ceese? / As of oon ouse 8. A smll pece of ceese s plce e cene of n oonl g o of leng. Te o oes oonll oun s cene of mss w n ngul eloc 4 /sec s sown n e fgue. A.5 g mouse ognll snng e ege of e o uns ows e ceese. W s e ngul eloc n /s of e o wen e mouse eces e ceese? / As of oon ouse 9. A locof mss ss fomes eg 9 m oee leel sufce n sles own smoo mp s sown n e fgue. Te loc sles own e mp, coss e leel sufce, n colles w loc of mss wc s es. Te wo locs sc ogee n elup smoo mp. If e mmum eg e comne - loceces 4mn lle sufcesesmoon fconless, w s e mss? -s A loc of mss ss fom es eg 6 m oe e leel sufce n sles own smoo mp s sown n e fgue. Te loc sles own e mp, coss e leel sufce, n colles w loc of mss wc s es. Te wo locs sc ogee n el up smoo mp. If e mmum eg e comne -loc eces 9 m n ll e sufces e smoo n fconless, w s e mss? -s
7 . A loc of mss ss fom es eg 5 m oe e leel sufce n sles own smoo mp s sown n e fgue. Te loc sles own e mp, coss e leel sufce, n colles w loc of mss wc s es. Te wo locs sc ogee n el up smoo mp. If e mmum eg e comne -loc eces 9 m n ll e sufces e smoo n fconless, w s e mss? -s e e sufce of e E, wooen loc w mss m g s ce o sng. Te sng s wppe oun fconless pulle w us.5 m, n oonl ne I.5 g m s sown n e fgue. Te pulle n e loc e nll es. Wen e ssem s elese n e sng egns o unwn, w s e enson n e sng n? I m eo 3. e e sufce of e E, wooen loc w mss m 3 g s ce o sng. Te sng s wppe oun fconless pulle w us.5 m, n oonl ne I.5 g m s sown n e fgue. Te pulle n e loc e nll es. Wen e ssem s elese n e sng egns o unwn, w s e enson n e sng n? I m eo 4. e e sufce of e E, wooen loc w mss m 4 g s ce o sng. Te sng s wppe oun fconless pulle w us.5 m, n oonl ne I.5 g m s sown n e fgue. Te pulle n e loc e nll es. Wen e ssem s elese n e sng egns o unwn, w s e enson n e sng n? I m eo 5. Sng fom es me, ccul weel w us 3 m s pulle o e g long oonl sufce consn cceleon of m/s s sown n e fgue. If e weel olls wou slppng, ow long n s oes e e weel o me 6 eoluons? Sng fom es me, ccul weel w us 3 m s pulle o e g long oonl sufce consn cceleon of m/s s sown n e fgue. If e weel olls wou slppng, ow long n s oes e e weel o me 8 eoluons?
8 7. Sng fom es me, ccul weel w us 3 m s pulle o e g long oonl sufce consn cceleon of m/s s sown n e fgue. If e weel olls wou slppng, ow long n s oes e e weel o me eoluons? e e sufce of e E sol spee of mss, us.5 m, n momen of ne I /5 olls long oonl sufce n up mp of eg.7 m mes n ngle of w e oonl sufce s sown n e fgue. If e ll olls wou slppng on o e oonl sufce n e mp, w s e mnmum nume of eoluons pe secon e ll mus e wle ollng on e oonl sufce n oe o ec e op of e mp? e e sufce of e E sol spee of mss, us.5 m, n momen of ne I /5 olls long oonl sufce n up mp of eg. m mes n ngle of w e oonl sufce s sown n e fgue. If e ll olls wou slppng on o e oonl sufce n e mp, w s e mnmum nume of eoluons pe secon e ll mus e wle ollng on e oonl sufce n oe o ec e op of e mp? e e sufce of e E sol spee of mss, us.5 m, n momen of ne I /5 olls long oonl sufce n up mp of eg.5 m mes n ngle of w e oonl sufce s sown n e fgue. If e ll olls wou slppng on o e oonl sufce n e mp, w s e mnmum nume of eoluons pe secon e ll mus e wle ollng on e oonl sufce n oe o ec e op of e mp? FOOWIG GOUPS OF QUESTIOS WI BE SEECTED AS OE GOUP FO EAC TYPE TYPE Q# S Q# S Q# S 3 TYPE Q# S 4 Q# S 5 Q# S 6 TYPE 3 Q# S 7 Q# S 8 Q# S 9 TYPE 4 Q# S Q# S Q# S TYPE 5 Q# S 3 Q# S 4 Q# S 5 TYPE 6 Q# S 6 Q# S 7 Q# S 8
9 TYPE 7 Q# S 9 Q# S Q# S TYPE 8 Q# S Q# S 3 Q# S 4 TYPE 9 Q# S 5 Q# S 6 Q# S 7 TYPE Q# S 8 Q# S 9 Q# S 3
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