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Insucos: Fiel/che/Deweile PYSICS DEPATET PY 48 Finl Em Apil 5, 5 me pin, ls fis: Signue: On m hono, I he neihe gien no eceie unuhoie i on his eminion. YOU TEST UBE IS TE 5-DIGIT UBE AT TE TOP OF EAC PAGE. Coe ou es nume on ou nswe shee use lines 76 8 on he nswe shee fo he 5-igi nume. Coe ou nme on ou nswe shee. DAKE CICES COPETEY. Coe ou UFID nume on ou nswe shee. Pin ou nme on his shee n sign i lso. 3 Do ll scch wok nwhee on his em h ou like. Cicle ou nswes on he es fom. A he en of he es, his em pinou is o e une in. o cei will e gien wihou oh nswe shee n pinou. 4 Blcken he cicle of ou inene nswe compleel, using # pencil o lue o lck ink. Do no mke n s mks o some nswes m e coune s incoec. 5 The nswes e oune off. Choose he closes o ec. Thee is no penl fo guessing. If ou eliee h no lise nswe is coec, lee he fom lnk. 6 n in he nswe shee sepel. Use g 9.8 m/s Ais oop ou cenl is Ais Annul cline o ing ou cenl is Ais Soli cline o isk ou cenl is I I I Ais Soli cline o isk ou cenl imee Ais Thin o ou is hough cene pepenicul o lengh Ais Soli sphee ou n imee I 4 I I 5 Ais Thin spheicl shell ou n imee Ais oop ou n imee Ais Sl ou pepenicul is hough cene I 3 I I

PY48 Em Fomul Shee ecos k j i k j i ˆ ˆ ˆ ˆ ˆ ˆ gniues: Scl Pouc: gniue: cos ngle eween n eco Pouc: k j i ˆ ˆ ˆ gniue: sin smlles ngle eween n oion Displcemen: imension 3 imensions Aege eloci: e im e 3 im Aege Spee: s e ol isnce/ Insnneous eloci: im 3 im elie eloci: BC AB AC 3 im Aege Acceleion: e im e 3 im Insnneous Acceleion: im 3 im Equions of oion Consn Acceleion ewon s w n Weigh m F ne m mss Weigh ne he sufce of he Eh W mg use g 9.8 m/s gniue of he Ficionl Foce µ s sic coefficien of ficion, µ k kineic coefficien of ficion Sic: s s F f µ m Kineic: k k F f µ F is he mgniue of he noml foce Unifom Cicul oion ius, Tngenil Spee ω, Angul eloci ω Cenipel Acceleion & Foce: ω mω m F Peio: ω π π T Pojecile oion hoionl sufce ne Eh, iniil spee, iniil ngle wih hoionl nge: g sin eigh: g sin Time of fligh: g f sin Quic Fomul If: c Then: c 4 ±

PY48 Em Fomul Shee Wok W, echnicl Eneg E, Kineic Eneg KE, Poenil Eneg U W KE m Wok: W F F Powe: P F Cons n F Kineic Eneg: Wok-Eneg Theoem: KE KE W Poenil Eneg: U F f i Wok-Eneg: Weenl KE U Eheml Einenl Gi e he Sufce of he Eh -is up: Sping Foce: F echnicl Eneg: ine omenum: k Cene of ss CO: e Foce: F omen of Inei: Angul omenum: U k F mg U mg U F Wok: W -U E KE U Isole n Conseie Ssem: EKEU E f Ei ine omenum, Angul omenum, Toque f p p p m F Kineic Eneg: KE Impulse: J p m F P o m i i CO mi i o i o ne oco Po oco i I i m i i p iscee I Toque: m Conseion of ine omenum: if unifom p i CO Pllel Ais: pi o i I ICO h f τ F Wok: W τ i p hen p consn n p f pi τ hen consn n f i F ne Conseion of Angul omenum: if ne oionl les ω Angul Posiion: Angul eloci: ω Angul Acceleion: α Toque: τne Iα Angul omenum: Iω Kineic Eneg: E o Iω Powe: P τω I Ac engh: s Tngenil Spee: ω Tngenil Acceleion: α olling Wihou Slipping: CO CO ω CO α KE CO I CO ω oionl Equions of oion Consn Angul Acceleionα ω ω α ω ω ω α α i

gniue of Foce: Poenil Eneg: PY48 Em 3 Fomul Shee w of Giion mm mm G Escpe Spee: F g G G 6.67 m / kg U g G escpe Tension & Compession Y Young s oulus, B Bulk oulus F F ine: Y olume: P B A A Iel Fluis Pessue ile foce: P F A Pessue consn foce: F P Unis: P /m A Equion of Coninui: A consn olume flow e m A consn mss flow e Benoulli s Equion -is up: P g P g consn Fluis es -is up: P P g Buonc Foce: F g Simple monic oion S ngul fequenc cos m Iel Sping k sping consn: Phse: m m cos F sin k k m E m Buo flui f /T m m m m k consn Sinusoil Teling Wes fequenc f /T /, we nume k /, sin sin k - igh moing, lef moing m m k We Spee: we f We Spee igh sing: k T we n n,,, n n,,, n n,,, n n,,, Inefeence Consucie: Inefeence Desucie: Allowe Welenghs & Fequencies: Inensi W/m : Dopple Shif: f I os Sning Wes lengh, n hmonic nume we nwe n / n fn n,,3 P A f S Soun Wes P Powe P I 4 Isoopic Poin Souce: soun soun D S n souce Spee of Soun: soun f S fequenc of souce, S, D spee of souce, eeco Chnge D o D if he eeco is moing opposie he iecion of he popgion of he soun we. Chnge S o S if he souce is moing opposie he iecion of he popgion of he soun we. B

. Twouomoilessfomesonhe-issshowninhefigue. C is n c is. A he wo cs egin o moe in he posiie iecion consn cceleions. If he mgniue of he cceleion of c is wice he mgniue of he cceleion of c, wh poin long he -is will he wo cs mee? C 3/ 3 4/3 4 3 5 4 C -is. Twouomoilessfomesonhe-issshowninhefigue. C is n c is. A he wo cs egin o moe in he posiie iecion consn cceleions. If he mgniue of he cceleion of c is hee imes he mgniue of he cceleion of c, wh poin long he -is will he wo cs mee? C 3/ 3 4/3 4 3 5 4 C -is 3. Twouomoilessfomesonhe-issshowninhefigue. C is n c is. A he wo cs egin o moe in he posiie iecion consn cceleions. If he mgniue of he cceleion of c is fou imes he mgniue of he cceleion of c, wh poin long he -is will he wo cs mee? C 4/3 3 3/ 4 3 5 4 C -is 4. On fl hoionl socce fiel ne he sufce of he Eh he gol keepe kicks he ll wih iniil spee m/s n ngle 45 wih he hoionl ows emme h is es isnce m w s shown in he figue. A he insn he ll is kicke, he emme egins unning consn spee w fom he gol keepe. Wh consn spee in m/s mus he emme un in oe o ech he ll he insn i his he goun?.7 7. 3 3.7 4 4.8 5 5. 5. On fl hoionl socce fiel ne he sufce of he Eh he gol keepe kicks he ll wih iniil spee m/s n ngle 45 wih he hoionl ows emme h is es isnce m w s shown in he figue. A he insn he ll is kicke, he emme egins unning consn spee w fom he gol keepe. Wh consn spee in m/s mus he emme un in oe o ech he ll he insn i his he goun? 7..7 3 3.7 4 4.8 5 5. 6. On fl hoionl socce fiel ne he sufce of he Eh he gol keepe kicks he ll wih iniil spee m/s n ngle 45 wih he hoionl ows emme h is es isnce 3 m w s shown in he figue. A he insn he ll is kicke, he emme egins unning consn spee w fom he gol keepe. Wh consn spee in m/s mus he emme un in oe o ech he ll he insn i his he goun? 3.7 7. 3.7 4 4.8 5 5.

7. e he sufce of he Eh mn is siing in chi h is connece o he pulle ssem shown in he figue. The pulles e ficionless n ope is mssless. If he comine mss of he mn n he chi is 9 kg, wih wh foce in mus he mn pull on he ope if he is o ise consn eloci? 94 39 3 49 4 88 5 44 chi ope 8. e he sufce of he Eh mn is siing in chi h is connece o he pulle ssem shown in he figue. The pulles e ficionless n ope is mssless. If he comine mss of he mn n he chi is kg, wih wh foce in mus he mn pull on he ope if he is o ise consn eloci? 39 94 3 49 4 588 5 76 chi ope 9. e he sufce of he Eh mn is siing in chi h is connece o he pulle ssem shown in he figue. The pulles e ficionless n ope is mssless. If he comine mss of he mn n he chi is 5 kg, wih wh foce in mus he mn pull on he ope if he is o ise consn eloci? 49 94 3 39 4 735 5 47 chi ope. A lock wih weigh W 735 is eing pushe up ficionless mp wih ngle 3 elie o he hoionl consn spee hoionl foce s shown in he figue. Wh is he mgniue of he foce in h he mp ees on he lock? 848.7 39.4 3 47. 4 565.8 5 98. F e W. A lock wih weigh W 735 is eing pushe up ficionless mp wih ngle 45 elie o he hoionl consn spee hoionl foce s shown in he figue. Wh is he mgniue of he foce in h he mp ees on he lock? 39.4 848.7 3 47. 4 565.8 5 98. F e W. A lock wih weigh W 735 is eing pushe up ficionless mp wih ngle 6 elie o he hoionl consn spee hoionl foce s shown in he figue. Wh is he mgniue of he foce in h he mp ees on he lock? 47. 848.7 3 39.4 4 565.8 5 98. F e W

3. e he sufce of he Eh, ll of mss hngs eicll on sing of lengh s shown in he figue. A lump of mu wih mss m n hoionl spee collies wih he ll. The mu sicks o he ll cusing i o swing on is sing. If m, n he mimum eicl heigh he mu-ll ssem eches fe he collision is, wh is he iniil spee of he lump of mu? Befoe Afe 8g 8g 3 3g 4 g 5 g Bll 4. e he sufce of he Eh, ll of mss hngs eicll on sing of lengh s shown in he figue. A lump of mu wih mss m n hoionl spee collies wih he ll. The mu sicks o he ll cusing i o swing on is sing. If m /, n he mimum eicl heigh he mu-ll ssem eches fe he collision is, wh is he iniil spee of he lump of mu? Befoe Afe 8g 8g 3 3g 4 g 5 g Bll 5. e he sufce of he Eh, ll of mss hngs eicll on sing of lengh s shown in he figue. A lump of mu wih mss m n hoionl spee collies wih he ll. The mu sicks o he ll cusing i o swing on is sing. If m /3, n he mimum eicl heigh he mu-ll ssem eches fe he collision is, wh is he iniil spee of he lump of mu? Befoe Afe 3g 8g 3 8g 4 g 5 g Bll 6. Aunifom lehs lengh n mss. A winowwsheemps olen he le gins ficionless eicl wll s shown in he figue. e fins h he le slips on he goun when i is plce n ngle,, less hn 3 o he goun, u emins in plce when he ngle is gee hn 3. Wh is he coefficien of sic ficion eween he le n he goun?.866.596 3.4 4.95 5.336 7. Aunifom lehs lengh n mss. A winowwsheemps olen he le gins ficionless eicl wll s shown in he figue. e fins h he le slips on he goun when i is plce n ngle,, less hn 4 o he goun, u emins in plce when he ngle is gee hn 4. Wh is he coefficien of sic ficion eween he le n he goun?.596.866 3.4 4.95 5.336

8. Aunifom lehs lengh n mss. A winowwsheemps olen he le gins ficionless eicl wll s shown in he figue. e fins h he le slips on he goun when i is plce n ngle,, less hn 5 o he goun, u emins in plce when he ngle is gee hn 5. Wh is he coefficien of sic ficion eween he le n he goun?.4.866 3.596 4.95 5.336 9. e he sufce of he Eh soli ojec of mss, ius, n momen of inei I / olls smoohl long hoionl sufce wih spee n up mp h mkes n ngle of wih he hoionl sufce s shown in he figue. Wh mimum heigh oes he ojec ech efoe olling ck own he incline? 3 /4g /3g 3 5 /6g 4 /g 5 /g. e he sufce of he Eh soli ojec of mss, ius, n momen of inei I /3 olls smoohl long hoionl sufce wih spee n up mp h mkes n ngle of wih he hoionl sufce s shown in he figue. Wh mimum heigh oes he ojec ech efoe olling ck own he incline? /3g 3 /4g 3 5 /6g 4 /g 5 /g. e he sufce of he Eh soli ojec of mss, ius, n momen of inei I /3 olls smoohl long hoionl sufce wih spee n up mp h mkes n ngle of wih he hoionl sufce s shown in he figue. Wh mimum heigh oes he ojec ech efoe olling ck own he incline? 5 /6g 3 /4g 3 /3g 4 /g 5 /g. A poin picle wih mss n spee is moing in he plne s shown in he figue. A he momen i cosses he -is, is eloci eco poins n ngle of 3 elie o he -is n he mgniue of is ngul momenum ou he oigin, i.e., is. Wh is he mgniue of is ngul momenum ou poin P loce on he -is isnce / 3 fom he oigin his sme momen? P O -is 3 3 4 4 5 5 / 3 o -is 3. A poin picle wih mss n spee is moing in he plne s shown in he figue. A he momen i cosses he -is, is eloci eco poins n ngle of 3 elie o he -is n he mgniue of is ngul momenum ou he oigin, i.e., is. Wh is he mgniue of is ngul momenum ou poin P loce on he -is isnce / 3 fom he oigin his sme momen? 3 3 4 4 5 5 / P O -is 3 o -is

4. A poin picle wih mss n spee is moing in he plne s shown in he figue. A he momen i cosses he -is, is eloci eco poins n ngle of 3 elie o he -is n he mgniue of is ngul momenum ou he oigin, i.e., is. Wh is he mgniue of is ngul momenum ou poin P loce on he -is isnce 3 fom he oigin his sme momen? P O -is 4 3 3 4 5 5 / 3 o -is 5. An uomoile ss fom es on he -is s shown in he figue. A i egins o ccelee wih n cceleion h epens on ime ccoing o he fomul, whee n e consns. If 4 m/s n m/s 3, wh ime in s oes he c eun o is sing poin? 6 9 3 4 3 5 6 C -is 6. An uomoile ss fom es on he -is s shown in he figue. A i egins o ccelee wih n cceleion h epens on ime ccoing o he fomul, whee n e consns. If 6 m/s n m/s 3, wh ime in s oes he c eun o is sing poin? 9 6 3 4 3 5 6 C -is 7. An uomoile ss fom es on he -is s shown in he figue. A i egins o ccelee wih n cceleion h epens on ime ccoing o he fomul, whee n e consns. If 8 m/s n m/s 3, wh ime in s oes he c eun o is sing poin? 6 3 9 4 3 5 6 C -is 8. Two lou spekes e loce 4 m p on n ouoo sge. A lisene is 8 m fom one n m fom he ohe. Duing he soun check, signl geneo ies he wo spekes in phse wih he sme mpliue n fequenc. The nsmie fequenc is swep hough he uile nge o k. Wh is he lowes fequenc in h gies minimum signl mimum esucie inefeence he lisene s locion? Tke he spee of soun o e 343 m/s. 57. 85.8 3 7.5 4 4.3 5 343. 9. Two lou spekes e loce 3 m p on n ouoo sge. A lisene is 9 m fom one n m fom he ohe. Duing he soun check, signl geneo ies he wo spekes in phse wih he sme mpliue n fequenc. The nsmie fequenc is swep hough he uile nge o k. Wh is he lowes fequenc in h gies minimum signl mimum esucie inefeence he lisene s locion? Tke he spee of soun o e 343 m/s. 85.8 57. 3 7.5 4 4.3 5 343.

3. Two lou spekes e loce 3 m p on n ouoo sge. A lisene is m fom one n m fom he ohe. Duing he soun check, signl geneo ies he wo spekes in phse wih he sme mpliue n fequenc. The nsmie fequenc is swep hough he uile nge o k. Wh is he lowes fequenc in h gies minimum signl mimum esucie inefeence he lisene s locion? Tke he spee of soun o e 343 m/s. 7.5 57. 3 85.8 4 4.3 5 343. 3. e he sufce of he Eh, suen is using simple pulle o lif ce of mss 3 kg fom es o heigh pulling on he ope wih consn foce F s shown in he figue. If he eking sengh of he ope is 5, wh is he minimum ime in s equie fo he suen o hul he ce o heigh m? Assume h he pulle is mssless n ficionless..4 3. 3 3.8 4.6 5 5. ope F ce goun 3. e he sufce of he Eh, suen is using simple pulle o lif ce of mss 35 kg fom es o heigh pulling on he ope wih consn foce F s shown in he figue. If he eking sengh of he ope is 5, wh is he minimum ime in s equie fo he suen o hul he ce o heigh m? Assume h he pulle is mssless n ficionless. 3..4 3 3.8 4.6 5 5. ope F ce goun 33. e he sufce of he Eh, suen is using simple pulle o lif ce of mss 4 kg fom es o heigh pulling on he ope wih consn foce F s shown in he figue. If he eking sengh of he ope is 5, wh is he minimum ime in s equie fo he suen o hul he ce o heigh m? Assume h he pulle is mssless n ficionless. 3.8.4 3 3. 4.6 5 5. ope F ce goun 34. Consie mss kg suspene e ligh sing fom he ceiling of ilwcne he sufceof he Eh. The c hs consn cceleion s shownin he figue, cusing he mss o hng n ngle wih he eicl. If he cceleion of he ilw c is m/s, wh is he ension in he sing in? 8. 4. 3 56. 4 96. 5 94.

35. Consie mss 3 kg suspene e ligh sing fom he ceiling of ilwcne he sufceof he Eh. The c hs consn cceleion s shownin he figue, cusing he mss o hng n ngle wih he eicl. If he cceleion of he ilw c is m/s, wh is he ension in he sing in? 4. 8. 3 56. 4 96. 5 94. 36. Consie mss 4 kg suspene e ligh sing fom he ceiling of ilwcne he sufceof he Eh. The c hs consn cceleion s shownin he figue, cusing he mss o hng n ngle wih he eicl. If he cceleion of he ilw c is m/s, wh is he ension in he sing in? 56. 8. 3 4. 4 96. 5 39. 37. Jck wns o ow iecl coss ie fom he es shoe o poin on he wes shoe, s shown in he figue. The wih of he ie is 5 m n he cuen flows fom noh o souh.5 m/s. The ip kes Jck 4 minues. A wh spee in m/s wih espec o he sill we is Jck le o ow?.6.48 3.4 4.4 5.86 We Cuen Jck W E Shoe Shoe S 38. Jck wns o ow iecl coss ie fom he es shoe o poin on he wes shoe, s shown in he figue. The wih of he ie is 5 m n he cuen flows fom noh o souh.5 m/s. The ip kes Jck 3 minues. A wh spee in m/s wih espec o he sill we is Jck le o ow?.48.6 3.4 4.39 5.86 We Cuen Jck W E Shoe Shoe S 39. Jck wns o ow iecl coss ie fom he es shoe o poin on he wes shoe, s shown in he figue. The wih of he ie is 5 m n he cuen flows fom noh o souh.5 m/s. The ip kes Jck minues. A wh spee in m/s wih espec o he sill we is Jck le o ow?.4.6 3.48 4.8 5.86 We Cuen Jck W E Shoe Shoe S 4. e he sufce of he Eh lock of mss is elese fom es heigh on ficionless incline s shown in he figue. The lock slies own he ficionless incline o ech fl hoionl sufce wih kineic coefficien of ficion µ k.. If he lock slies hoionl isnce 5 m long he sufce efoe coming o es, wh is he iniil heigh in m? 5 3 5 4 5 5 h -is

4. e he sufce of he Eh lock of mss is elese fom es heigh on ficionless incline s shown in he figue. The lock slies own he ficionless incline o ech fl hoionl sufce wih kineic coefficien of ficion µ k.4. If he lock slies hoionl isnce 5 m long he sufce efoe coming o es, wh is he iniil heigh in m? 5 3 5 4 5 5 h -is 4. e he sufce of he Eh lock of mss is elese fom es heigh on ficionless incline s shown in he figue. The lock slies own he ficionless incline o ech fl hoionl sufce wih kineic coefficien of ficion µ k.6. If he lock slies hoionl isnce 5 m long he sufce efoe coming o es, wh is he iniil heigh in m? 5 5 3 4 5 5 h -is 43. A wh wo isnces fom he cene of he Eh,, is he giionl foce on poin mss m equl o /4 of wh i is he sufce of he Eh? oe: E is he ius of he Eh. E n E /4 3 E n E /9 3 4 E n E /6 4 4 E n E /4 5 E n E / 44. A wh wo isnces fom he cene of he Eh,, is he giionl foce on poin mss m equl o /9 of wh i is he sufce of he Eh? oe: E is he ius of he Eh. 3 E n E /9 E n E /4 3 4 E n E /6 4 3 E n E /3 5 9 E n E /9 45. A wh wo isnces fom he cene of he Eh,, is he giionl foce on poin mss m equl o /6 of wh i is he sufce of he Eh? oe: E is he ius of he Eh. 4 E n E /6 E n E /4 3 3 E n E /9 4 4 E n E /4 5 6 E n E /6 46. Plne oon, wih mss of 7 4 kg n ius of,5 km, giionll cs meeoie h is iniill es elie o he plne, isnce ge enough o ke s infinie. The meeoie flls ow he plne. Assuming he plne is iless, wh is he spee in km/s of he meeoie elie o he plne when i eches he plne s sufce? 5. 7.6 3 4.4 4 3. 5.6 47. Plne oon, wih mss of 7 4 kg n ius of 3, km, giionll cs meeoie h is iniill es elie o he plne, isnce ge enough o ke s infinie. The meeoie flls ow he plne. Assuming he plne is iless, wh is he spee in km/s of he meeoie elie o he plne when i eches he plne s sufce? 7.6 5. 3 4.4 4 3. 5.6 48. Plne oon, wih mss of 7 4 kg n ius of 4,5 km, giionll cs meeoie h is iniill es elie o he plne, isnce ge enough o ke s infinie. The meeoie flls ow he plne. Assuming he plne is iless, wh is he spee in km/s of he meeoie elie o he plne when i eches he plne s sufce? 4.4 5. 3 7.6 4 3. 5.6

49. Wh is he mimum ol mss of he cgo incluing he mss of he emp lloon h spheicl helium lloon wih ius of 4. m cn lif off he goun? The ensi of helium n he i e ρ e.8 kg/m 3 n ρ i. kg/m 3, especiel. Assume h he ensi of he cgo is much lge hn he ensi of he i. 73.4 kg 534. kg 3 9.9 kg 4 75.5 kg 5. kg 5. Wh is he mimum ol mss of he cgo incluing he mss of he emp lloon h spheicl helium lloon wih ius of 5. m cn lif off he goun? The ensi of helium n he i e ρ e.8 kg/m 3 n ρ i. kg/m 3, especiel. Assume h he ensi of he cgo is much lge hn he ensi of he i. 534. kg 73.4 kg 3 9.9 kg 4 75.5 kg 5. kg 5. Wh is he mimum ol mss of he cgo incluing he mss of he emp lloon h spheicl helium lloon wih ius of 6. m cn lif off he goun? The ensi of helium n he i e ρ e.8 kg/m 3 n ρ i. kg/m 3, especiel. Assume h he ensi of he cgo is much lge hn he ensi of he i. 9.9 kg 73.4 kg 3 534. kg 4 75.5 kg 5. kg 5. e he sufce of he Eh, fl plfom is unegoing simple hmonic moion n is oscilling eicll, up n own ccoing o he fomul Asinω s shown in he figue. A lock of mss sis on plfom, u he lock is no che o he plfom. The ngul fequenc ω of he oscillions ss ou smll n inceses slowl. If he mpliue of he oscillions is A.45 m, wh lue of ω in /s oes he lock lose conc wih he plfom n s o ounce? -is -is.. 3.5 4.5 5 4. 53. e he sufce of he Eh, fl plfom is unegoing simple hmonic moion n is oscilling eicll, up n own ccoing o he fomul Asinω s shown in he figue. A lock of mss sis on plfom, u he lock is no che o he plfom. The ngul fequenc ω of he oscillions ss ou smll n inceses slowl. If he mpliue of he oscillions is A 9.8 m, wh lue of ω in /s oes he lock lose conc wih he plfom n s o ounce? -is -is.. 3.5 4.5 5 4. 54. e he sufce of he Eh, fl plfom is unegoing simple hmonic moion n is oscilling eicll, up n own ccoing o he fomul Asinω s shown in he figue. A lock of mss sis on plfom, u he lock is no che o he plfom. The ngul fequenc ω of he oscillions ss ou smll n inceses slowl. If he mpliue of he oscillions is A 39. m, wh lue of ω in /s oes he lock lose conc wih he plfom n s o ounce? -is -is.5. 3. 4.5 5 4.

55. An iel sping-n-mss ssem is unegoing simple hmonic moion S wih peio of he oscillions T s. If he spee of he lock is. m/s when he isplcemen fom equiliium is. m, wh is he spee of he lock in m/s when he isplcemen fom equiliium is. m? 5.5 3.8 3.9 4 6. 5.9 56. An iel sping-n-mss ssem is unegoing simple hmonic moion S wih peio of he oscillions T 3 s. If he spee of he lock is. m/s when he isplcemen fom equiliium is. m, wh is he spee of he lock in m/s when he isplcemen fom equiliium is. m? 3.8 5.5 3.9 4 6. 5.9 57. An iel sping-n-mss ssem is unegoing simple hmonic moion S wih peio of he oscillions T 4 s. If he spee of he lock is. m/s when he isplcemen fom equiliium is. m, wh is he spee of he lock in m/s when he isplcemen fom equiliium is. m?.9 5.5 3 3.8 4 6. 5.9 58. A sion moion eeco on he -is sens soun wes of fequenc 5, sshownin he figue. The wessen ou he eecoeeflece offuckelinglonghe -isn hen eeceieckhe eeco. If he fequenc of he wes eceie ck he eeco is 4, wh is he -componen of he eloci of he uck in m/s? Tke he spee of soun o e 343 m/s. oion Deeco Tuck -is 38. 68.6 3 6.5 4 9.3 5 38. 59. A sion moion eeco on he -is sens soun wes of fequenc 5, sshownin he figue. The wessen ou he eecoeeflece offuckelinglonghe -isn hen eeceieckhe eeco. If he fequenc of he wes eceie ck he eeco is 75, wh is he -componen of he eloci of he uck in m/s? Tke he spee of soun o e 343 m/s. oion Deeco Tuck -is 68.6 38. 3 6.5 4 68.6 5 38. 6. A sion moion eeco on he -is sens soun wes of fequenc 5, sshownin he figue. The wessen ou he eecoeeflece offuckelinglonghe -isn hen eeceieckhe eeco. If he fequenc of he wes eceie ck he eeco is 35, wh is he -componen of he eloci of he uck in m/s? Tke he spee of soun o e 343 m/s. oion Deeco Tuck -is 6.5 38. 3 68.6 4 9.3 5 6.5 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 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 TYPE Q# S 3 Q# S 3 Q# S 33 TYPE Q# S 34 Q# S 35 Q# S 36 TYPE 3 Q# S 37 Q# S 38 Q# S 39 TYPE 4 Q# S 4 Q# S 4 Q# S 4 TYPE 5 Q# S 43 Q# S 44 Q# S 45 TYPE 6 Q# S 46 Q# S 47 Q# S 48 TYPE 7 Q# S 49 Q# S 5 Q# S 5 TYPE 8 Q# S 5 Q# S 53 Q# S 54 TYPE 9 Q# S 55 Q# S 56 Q# S 57 TYPE Q# S 58 Q# S 59 Q# S 6