Physics in Context Correlation with Arkansas Science Curriculum Framework (Revised 2005)

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1 May 5, 006 Physcs n Context Coelaton wth Akansas Scence Cuculum Famewok (Resed 005) Stand : Moton and Foces Content Standad : Students shall undestand one-dmensonal moton. MF..P. Compae and contast scala and ecto quanttes. 8-7, 3-4, 3-33, 4, 53-54, 93, 5-3, 34-36, 74, 40, ; Lab.; MF..P. MF..P.3 MF..P.4 MF..P.5 MF..P.6 Sole poblems nolng constant and aeage elocty: d t Δd ae Δt Apply knematc equatons to calculate dstance, tme, o elocty unde condtons o constant acceleaton: a t Δ a ae Δt Δ x ( + ) Δt + aδt Δ x Δt + Δ + aδx a( t) Compae gaphc epesentatons o moton: d-t -t a-t Calculate the components o a ee allng object at aous ponts n moton: + aδy whee a gaty (g). Compae and contast contact oce (e.g., cton) and eld oces (e.g., gatatonal oce). Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts -37; Lab 3.; 8-3, 36-37, 7, 8; 3-30; 5-53, 59; 8-, 7-6, 35-38, 48-55, 6-6, 09-, 6-7, 7-83, 85-90, 96-97, 48-50; MF..P.7 Daw ee body dagams o all oces actng upon an object. -4, 4, 35-36, 49-55, 70-83, 87-90, 96-97, 30; Lab.;

2 Physcs n Context Akansas Coelaton (contnued) MF..P.8 Calculate the appled oces epesented n a ee body dagam. -4, 4, 35-36, 49-55, 70-83, 87-90, 96-97, 30; MF..P.9 MF..P.0 Apply Newton s st law o moton to show balanced and unbalanced oces. Apply Newton s second law o moton to sole moton poblems that nole constant oces: F ma -6, 4, 85-87, 70, 73-74, 76-78, 80-8, 89, 36; 7-74, 8-83, 44; MF..P. Apply Newton s thd law o moton to explan acton-eacton pas , 35; MF..P. MF..P.3 Calculate ctonal oces (.e., knetc and statc): Fk μ k Fn Fs μ s F n Calculate the magntude o the oce o cton: F μ F n 74-83; Lab 4.; 76-83; Stand : Moton and Foces Content Standad : Students shall undestand two-dmensonal moton. MF..P. Calculate the esultant ecto o a mong object 4-6, 6-8, 338; MF..P. MF..P.3 MF..P.4 MF..P.5 Resole two-dmensonal ectos nto the components: d x d cosθ d y d snθ Calculate the magntude and decton o a ecto om ts components: d x + y x tan θ y Sole two-dmensonal poblems usng balanced oces: W Τ snθ whee W weght; Τ tenson. Sole two-dmensonal poblems usng the Pythagoean Theoem o the quadatc omula: a + b b ± x c b 4ac a Not coeed n ths couse., 6, 7; Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts

3 Physcs n Context Akansas Coelaton (contnued) MF..P.6 Descbe the path o a pojectle as a paabola. MF..P.7 MF..P.8 MF..P.9 MF..P.0 Apply knematc equatons to sole poblems nolng pojectle moton o an object launched at an angle: x cosθ constant Δ x (cosθ ) Δt (sn ) gδt y, θ y, (snθ ) gδy Δy (snθ ) Δt Δ ) g( t Apply knematc equatons to sole poblems nolng pojectle moton o an object launched wth ntal hozontal elocty: y, gδt x x. constant gδy Δx xδt y, Δy ) g( Δt Calculate otatonal moton wth a constant oce dected towad the cente: m F c Sole poblems n ccula moton by usng centpetal acceleaton: 4π a c T Stand : Moton and Foces Content Standad 3: Students shall undestand the dynamcs o otatonal equlbum. MF.3.P. MF.3.P. MF.3.P.3 MF.3.P.4 Relate adans to degees: Δs Δθ whee Δs ac length; adus. Calculate the magntude o toque on an object: τ Fd(snθ ) whee τ toque. Calculate angula speed and angula acceleaton: Δ ω ae θ Δt Δ α ω Δt Sole poblems usng knematc equatons o angula moton: ω ω + α Δ t 89-9, 5-6, 3, 3-33, 36-37, , 5-6, 9 Tg unctons not used to calculate components n ths couse. 3-37, 3-33, 36-37, 4-4, 303; Lab 7.; Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 3

4 Physcs n Context Akansas Coelaton (contnued) MF.3.P.5 MF.3.P.6 MF.3.P.7 MF.3.P.8 Δθ ω Δt + ω ω ) α ( Δt + α ( Δ θ ) Δ θ ( ω + ω ) Δt Sole poblems nolng tangental speed: t ω Sole poblems nolng tangental acceleaton: a t α Calculate centpetal acceleaton: t ac a c ω Apply Newton s unesal law o gataton to nd the gatatonal oce between two masses: mm F g G whee G N m. kg 3-34, 33;. 47, 490; 48-49, 83; Stand : Moton and Foces Content Standad 4: Students shall undestand the elatonshp between wok and enegy. MF.4.P. MF.4.P. MF.4.P.3 Calculate net wok done by a constant net oce: Wnet Fnetd cosθ whee W net wok. Sole poblems elatng knetc enegy and potental enegy to the wokenegy theoem: W net ΔKE Sole poblems though the applcaton o conseaton o mechancal enegy: ME ME m + mgh m + mgh 8-94; Lab., , 4-49; 9, 5-53, 59-6; MF.4.P.4 Relate the concepts o tme and enegy to powe ; Lab 6., 6.; MF.4.P.5 Poe the elatonshp o tme, enegy and powe though poblem solng: W P Δ t P F whee P powe; W wok; F oce; V elocty; T tme ; Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 4

5 Physcs n Context Akansas Coelaton (contnued) Stand : Moton and Foces Content Standad 5: Students shall undestand the law o conseaton o momentum. MF.5.P. Descbe changes n momentum n tems o oce and tme ; MF.5.P. MF.5.P.3 MF.5.P.4 Sole poblems usng the mpulse-momentum theoem: F Δ t Δ p o FΔ t m m whee Δp change n momentum; F Δ t mpulse. Compae total momentum o two objects beoe and ate they nteact: + m m m m + Sole poblems o peectly nelastc and elastc collsons: ' m + m m + m ( ) m + m m + m whee s the nal elocty , ; ; ; Stand : Moton and Foces Content Standad 6: Students shall undestand the concepts o lud mechancs. MF.6.P. MF.6.P. MF.6.P.3 MF.6.P.4 Calbate the appled buoyant oce to detemne the object wll snk o loat: F F m g B g ( dsplacedlud ) Apply Pascal s pncple to an enclosed lud system: F F P A A whee P pessue. Apply Benoull s equaton to sole lud-low poblems: p ρ + ρ gh constant whee ρ densty. Use the deal gas law to pedct the popetes o an deal gas unde deent condtons. PHYSICS CHEMISTRY PV Nk BT PV nrt N numbe o gas patcles n numbe o moles ( mole 6.0x0 3 patcles) k b Boltzmann s constant R Mola gas constant (.38x0-3 J/k) (8.3 J/mole K) T tempeatue T tempeatue 34-36, 44-45; Lab.; 37-39, 46; 54-58, 6; Lab 4., 5., 6.; Not coeed n ths couse. Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 5

6 Physcs n Context Akansas Coelaton (contnued) Stand : Heat and Themodynamcs Content Standad 7: Students shall undestand the eects o themal enegy on patcles and systems. HT.7.P. HT.7.P. Peom specc heat capacty calculatons: Q C p mδt Peom calculatons nolng latent heat: Q ml 7-79, 65, 3; Lab.4, 5.4; 74-76, 78-79, 65, 86-87; HT.7.P.3 Intepet the aous sectons o a heatng cue dagam ; HT.7.P.4 Calculate heat enegy o the deent phase changes o a substance: Q mc pδt Q ml Q ml whee L Latent heat o uson; L Latent heat o apozaton , 78-79, 65, 86-87; Stand : Heat and Themodynamcs Content Standad 8: Students shall apply the two laws o themodynamcs. HT.8.P. HT.8.P. HT.8.P.3 HT.8.P.4 Descbe how the st law o themodynamcs s a statement o enegy coneson. Calculate heat, wok, and the change n ntenal enegy by applyng the st law o themodynamcs: Δ U Q W whee ΔU change n system s ntenal enegy. Calculate the ecency o a heat engne by usng the second law o themodynamcs: Wnet Qh Qc E Qc Qh Qh whee Qh enegy added as heat ; Qc enegy emoed as heat. Dstngush between entopy changes wthn systems and the entopy change o the unese as a whole , 9-94; 88-9, 94; Not coeed n ths couse. Stand 3: Waes and Optcs Content Standad 9: Students shall dstngush between smple hamonc moton and waes. WO.9.P. WO.9.P. Explan how oce, elocty, and acceleaton change as an object bates wth smple hamonc moton. Calculate the spng oce usng Hooke s law: F elastc kx whee k spng constant 48-5, ; 48-49, 60; Lab., 5., 8.; Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 6

7 WO.9.P.3 Physcs n Context Akansas Coelaton (contnued) Calculate the peod and equency o an object batng wth a smple hamonc moton: T π L g T whee T peod , ; Lab 8.; WO.9.P.4 Deentate between pulse and peodc waes ; Lab 8.; WO.9.P.5 Relate enegy and ampltude ; Stand 3: Waes and Optcs Content Standad 0: Students shall compae and contast the law o electon and the law o eacton. WO.0.P. Calculate the equency and waelength o electomagnetc adaton , 40-40, 4-43; Lab 9.; WO.0.P. Apply the law o electon o lat mos: 47-49, 446; Lab θ n θ 0.; out WO.0.P.3 Descbe the mages omed by lat mos , 446; WO.0.P.4 WO.0.P.5 WO.0.P.6 WO.0.P.7 Calculate dstances and ocal lengths o cued mos: + p q R whee p object dstance; q mage dstance; R adus o cuatue. Daw ay dagams to nd the mage dstance and magncaton o cued mos. Sole poblems usng Snell s law: n θ n θ (sn ) (sn ) Calculate the ndex o eacton though aous meda usng the ollowng equaton: c n whee n ndex o eacton; c speed o lght n acuum; speed o lght n medum , ; Lab 0.; , ; , ; , 448; WO.0.P.8 Use a ay dagam to nd the poston o an mage poduced by a lens , ; Lab 0.; WO.0.P.9 Sole poblems usng the thn-lens equaton: , ; Lab 0.; + p q whee q mage dstance; p object dstance; ocal length. Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 7

8 Physcs n Context Akansas Coelaton (contnued) WO.0.P.0 Calculate the magncaton o lenses: h q M h p whee M magncaton; h mage heght; h object heght; q mage dstance; p object dstance ; Lab 0.; Stand 4: Electcty and Magnetsm Content Standad : Students shall undestand the elatonshp between electc oces and electc elds. EM..P. EM..P. Calculate electc oce usng Coulomb s law: q q F kc ( ) whee k c Coulomb s constant Calculate electc eld stength: Felectc E. q m c 9 0 N , 09 EM..P.3 Daw and ntepet electc eld lnes , 09-, 7 Stand 3: Electcty and Magnetsm Content Standad : Students shall undestand the elatonshp between electc enegy and capactance. EM..P. EM..P. EM..P.3 EM..P.4 Calculate electcal potental enegy: PE electc qed Compute the electc potental o aous chage dstbutons: ΔPE Δ V q electc Calculate the capactance o aous deces: Q C Δ V Constuct a ccut to poduce a pe-detemned alue o an Ohm s law aable , 7-73, , , 3; Lab.3, 3.3, 4.3, 5.3, 6.3; Stand 3: Electcty and Magnetsm Content Standad 3: Students shall undestand how magnetsm elates to nduced and altenatng cuents. EM.3.P. Detemne the stength o a magnetc eld EM.3.P. Use the st ght-hand ule to nd the decton o the oce on the chage mong though a magnetc eld. 67, 76 Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 8

9 Physcs n Context Akansas Coelaton (contnued) EM.3.P.3 EM.3.P.4 EM.3.P.5 Detemne the magntude and decton o the oce on a cuent-cayng we n a magnetc eld. Descbe how the change n the numbe o magnetc eld lnes though a ccut loop aects the magntude and decton o the nduced cuent. Calculate the nduced electomagnetc eld (em) and cuent usng Faaday s law o nducton: Δ[ AB(cosθ )] em N Δt whee N numbe o loops n the ccut. 69, 76 67, , 76; Lab 5.3 Ths equaton s not addessed. Stand 4: Nuclea Physcs Content Standad 4: Students shall undestand the concepts o quantum mechancs as they apply to the atomc spectum. NP.4.P. NP.4.P. NP.4.P.3 Calculate enegy quanta usng Planck s equaton: E h Calculate the de Bogle waelength o matte: λ h h p m Dstngush between classcal deas o measuement and Hesenbeg s uncetanty pncple , 47, 488; ; Not coeed n ths couse. NP.4.P.4 Reseach emegng theoes n physcs, such as stng theoy. Not coeed n ths couse. Stand 4: Nuclea Physcs Content Standad 5: Students shall undestand the pocess o nuclea decay. NP.5.P. Calculate the bndng enegy o aous nucle , 48-49; NP.5.P. Pedct the poducts o nuclea decay , 49-40; NP.5.P.3 Calculate the decay constant and the hal-le o a adoacte substance. Lab 9.; Stand 5: Natue o Scence Content Standad 6: Students shall demonstate an undestandng that scence s a way o knowng. NS.6.P. NS.6.P. NS.6.P.3 Descbe why scence s lmted to natual explanatons o how the wold woks. Compae and contast the ctea o the omaton o hypotheses, theoes and laws. Summaze the gudelnes o scence: esults ae based on obseatons, edence, and testng hypotheses must be testable undestandngs and/o conclusons may change as new data ae Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 9

10 Physcs n Context Akansas Coelaton (contnued) geneated empcal knowledge must hae pee eew and ecaton beoe acceptance Stand 5: Natue o Scence Content Standad 7: Students shall saely desgn and conduct a scentc nquy to sole ald poblems. NS.7.P. NS.7.P. Deelop the appopate pocedues usng contols and aables (dependent and ndependent) n scentc expementaton. Reseach and apply appopate saety pecautons (ADE Gudelnes) when desgnng and/o conductng scentc nestgatons. NS.7.P.3 Identy souces o bas that could aect expemental outcome. NS.7.P.4 Gathe and analyze data usng appopate summay statstcs (e.g., pecent yeld, pecent eo). NS.7.P.5 Fomulate ald conclusons wthout bas. Stand 5: Natue o Scence Content Standad 8: Students shall demonstate an undestandng o hstocal tends n physcs. NS.8.P. Recognze that theoes ae scentc explanatons that eque empcal data, ecaton and pee eew. NS.8.P. Reseach hstocal and cuent eents n physcs. Stand 5: Natue o Scence Content Standad 9: Students shall use mathematcs, scence equpment, and technology as tools to communcate and sole physcs poblems. NS.9.P. NS.9.P. Use appopate equpment and technology as tools o solng poblems (e.g., balances, scales, calculatos, pobes, glasswae, bunes, compute sotwae and hadwae). Manpulate scentc data usng appopate mathematcal calculatons, chats, tables, and gaphs. the lab acttes o ths couse. NS.9.P.3 Utlze technology to communcate eseach ndngs. Stand 5: Natue o Scence Content Standad 0: Students shall descbe the connectons between pue and appled scence. NS.0.P. NS.0.P. Compae and contast the connectons between pue scence and appled scence as t elates to physcs. Ge examples o scentc bas that aect outcomes o expemental esults. Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts 0

11 Physcs n Context Akansas Coelaton (contnued) NS.0.P.3 Dscuss why scentsts should wok wthn ethcal paametes. NS.0.P.4 NS.0.P.5 Ealuate long-ange plans concenng esouce use and by-poduct dsposal o enonmental, economc, and poltcal mpact. Explan how the cyclcal elatonshp between scence and technology esults n ecpocal adancements n scence and technology. Stand 5: Natue o Scence Content Standad : Students shall descbe aous physcs caees and the tanng equed o the selected caee. NS..P. Reseach and ealuate caees n physcs usng the ollowng ctea: educatonal equements salay aalablty o jobs wokng condtons Physcs Suggested Labs Moton and Foces Speed and acceleaton (e.g., mousetap cas) Lab 3. Coecent o cton Lab 4. Vectos Lab. Pojectle moton (e.g., ockets, shoot o you gade) Tenson (e.g., bdges, pape towes) Smulatons at Rotatonal moton Lab 5., 7. Powe Lab 6., 6. Momentum (e.g., egg dop) Lab 7. Flud mechancs Lab., 3., 5., 6. Buoyant oce Heat and Themodynamcs Waes and Optcs Calomete Lab 3.4, 4.4 Themodynamcs Lab 5.4 Smple hamonc moton Lab 8. Optcs Lab 0., 0., 0.3 Electcty and Magnetsm Electcal ccut Lab.3,.3, 3.3, 4.3, 6.3 Electomagnetc Lab 5.3 Physcs n Context, Student Edton, 005, Deeloped by CORD Waco, Texas Physcs n Context, Teaches Edton Vol.-3, 005, Deeloped by CORD Waco, Texas Physcs n Context, Lab Manual & Data Systems Lab Manual 00, Enegy Concepts