Physical Sciences Grade 12 P1 Eastern Cape Prelim 2024 Memo

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE KEREITI 12 LOETSE 2024 FISIKALE SAENSESE P1 TATAISO YA HO TSWAYA MATSHWAO: 150 Tataiso ena ya ho tswaya e na le maqephe a 18 . Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 2 FISIKALE SAENSESE P1 (EC/LOETSE 2024) DITATAISO KA HO PHATLALLA 1. DIKHALEKULEISHENE 1.1 Dimaraka di fanwa ha: fomulara e nepahetse, substitution e nepahetse,Karabo ya yuniti e nepahetse. 1.2 Ha ho dimaraka tse tla fanwa ha fomulara e nepahetseng kapa fomulara e sebedisitsweng ka nepo, leha hona le disimpole tse ngata tse ka kenellang hantle. 1.3 Ha phoso e etswa ha ho kenyeletswa fomulareng e nepahetseng,le moo ho kenyeletsang, ha hona fanwa ka dimaraka ho ya pele. 1.4 Ha fomulara e sa fanwa, empa dikenyeletso di nepahetse, but all substitutions are correct, ngwana ya balang ha ana ho fuwa maraka. 1.5 Ha ho na tingwa ngwana dimaraka ha dikekyeletso di siuwe moo khaltjhuleishene di nepahetseng/porinsipole e nepahetseng. 1.6 Dimathemathikhale manipohuleishense le phetoho ya change of subject ya difomulara tse nepahetseng ha enke dimaraka, empa ha ngwa ya kolang a qala ka nfomulara e nepahetseng mme fetola subject of the formula hampe, dimaraka di tla fanwa bakeng sa fomulara le dikenyeletso tse nepahetseng. Maraka ya lenane le fosahetseng ha ena ho fanwa. 1.7 Dimaraka di tla ajwa fela fomularang ha khaltjhuleishene e entswe, jwalo ka, dikenyeletso di entswe kapa manane a karabo a fanwe. 1.8 Dimaraka di tla fanwa feela ha dikenyeletso tsa manane di kenyeleditswe fomulareng mme di sa thathamiswa pela khaltjhuleishene. Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 3 1.9 Dikhaltjhuleishene kaofela, ha disa sepesifauwa potsong, di tlameha ho etswa ho detesimale tse pedi. 1.10 Ha karabo ya ho qetela ya khaltjhuleishene e nepahetse, di maraca tse fleets ha di na fanwa the feela. Batswayi kamehla bat la etsa bonnete bah ore fomulara e nepahetseng/e tswanelehileng e ya sebediswa mme mesebetsi, le dikenyeletso, di nepahetse. 1.11 Dipotso moo letoto la khaltjhuleishene di etswang(moghlala, potso ya sekete teyakeramo) ha ho hlokahale kamehla e latele tatatello. DIMARAKA TSE FELETSENG di tla fanwa ha karabo e nepahetse ho latela bothata. Empa, khalkhjuleishene e nnge fela e kekeng ya tlisa ngwana ngolang haufi le karabo ho feta data ya mathomo, ha ho palo ya dimaraka e tla fanwa.. 2. DIYUNITI 2.1 Ngwana ngolang u tla tingwa hangwwe fela maraka ha phitile phoso ya tshebediso ya yuniti kahara potso. 2.2 Diyuniti di hlokahala feela karabong ya ho qetela ya khaltjhuleishene.. 2.3 Dimaraka di fanwa ha feela Karabo, e seng bakeng sa yuniti, eseng yuniti ho tjho fela. Bana ba ngolang hlahlobo batla tingwa maraka e fanwang karabong ye nngwe le e nngwe ya maema a latelang: • Karabo e nepahetseng + ho fosahetse yuniti • Karabo e fosahetseng + yuniti e nepahetseng • Karabo e nepahetseng + yunit e siyo • 2.4 Diyuniti tsa SI di tlameha ho sebediswa ntle ho maemong a itsen, mohlala. V.m-1 ho na le N.C-1, le cm•s-1 kapa km•h-1 ho na le m•s-1 moo potso e hlokang jwalo. Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 4 FISIKALE SAENSESE P1 (EC/LOETSE 2024) 3. KA HO PHATLALLA 3.1 Ha Karabo kapa khaltjhuleishene e hlokahala, empa Karabo tse pedi di fanwe ke ngwana ya ngolang, Karabo ya pele fela ke yona e tla tswauwa, ho sa tsotellehe hore e nepahetse. Ha eba karabo tse pedi di hlokahala, karabo tse pedi feela tse qalang di tla tswauwa jwalo jwalo. 3.2 Bakeng sa ho tswaya, disimpole tsekgetholohileng(s, u, t, etc.) di tla amoheleya. 3.3 Kompounte e arohanengya diyuniti tsa malethiupolekjheishene dote, mohlala, m•s-1. Bakeng sa ho tswaya, m•s-1 le m/s di tla amoheleya. 4. HO TSWAYA HO POSETIFO Motswao o Positifo ho latela dikhaltjhuleishene di tla latelwa maemong ana: 4.1 Potswana le potswana: Ha fariabole e khaltjhuleituwe potsong (mohlala 3.1) e hloka ho kenyeletswa ho potswana (3.2 ya 3.3), dimaraka tse feletseng di fanwa bakeng sa potswana e latelang. 4.2 Potso e nang le dipotswana tse ngata: Ha ngwana ya ngolang a khaltjhulata, mohlala, karente setep;eng sa pele mme a thola karabo e fosahetseng ka lebaka la kenyeletso e fosahetseng, maraka ya kenyeletso le ya ho qetela u tla tingwa dimaraka. 5. HO TSHWAYA HO NEKETIFO Maemong a tlwaeleileng karabo e fosahetseng ha ena ho nepahala ha e latela phoso ya konsepote. Ha ngwana ya ngolang a hlokwa ho fana ka tshehetso POTSONG ya 3.2 karabo e fanweng POTSONG YA 3.1 e fosahetse, ha ho dimaraka tse tla fanwa ho POTSO YA 3.2. Leha ho le jwalo, ha karabo mohlala, ya POTSO YA 3.1 e amana ka khaltjhuleishene, tshehetso ya karabo e fosahetseng e ka shejwa ka ihlo le leng. Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 5 POTSO YA 1: DIPOTSO TSA KGETHO 1.1 B  (2) 1.2 C  (2) 1.3 C  (2) 1.4 A  (2) 1.5 B  (2) 1.6 A  (2) 1.7 D  (2) 1.8 D  (2) 1.9 B  (2) 1.10 A  (2) [20] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 6 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 2 2.1 Ha nete fose e etsahala nthong, ntho e tla akeselerata lehlakoreng la nete fose ka akeselereishene e amanang ka kotloloho le fose hape e sa amamneng ka kotloloho le boima ba ntho.  KAPA Nete fose/resaletente fose e etsahalang ho ntho e lekana le nako eo momentamo u fetofetohang ka ona.  (2) 2.2 Labele tse amohelehang w Fg/Fw/weyiti/kerafitheishinale fose  T FT/Thensene/Fosee e khwgeleng  N FN/N/Nomale Fose  Fk fk/Fose e mahwashe force  (4) 2.3.1 fk = μkN  fk = μkFg fk = (0,25)(4)(9,8)  fk = 9,8 N  (3) Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 7 2.3.2 KGETHO YA 1 Fnet = ma Fnet = T – f E nngwe ✓ Fnet = Fg – T Boloko ba 4 kg T – 9,8 = 4a T = 4a + 9,8 E nngwe(4a kapa / 2a) ✓ Boloko ba 2 kg (2)(9,8) – T✓ =2a T = 19,6 – 2a 19,6 – 2a = 4a + 9,8 a = 1,63 m∙s-2 vf2 = vi2 + 2aΔy  vf2 = 02 + 2(1,63)(1)  vf = 1,81 m∙s-1  (7) 2.4 Kerafitheishenale fose (weyiti) ha se yona fela e etsahalang ho 2 kg boloko.  KAPA Akeselereishene ha se 9,8 m.s-2.  (2) [18] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 8 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 3 3.1 Tlase  (1) 3.2 Hodimo ke positifo Tlase ke posetifo vf = vi + a t  vf = vi + a t  = 30  + (-9,8)(2,135) = - 30 + (9,8)(2,135) = 9,08 m·s-1, hodimo  = - 9,078 m·s-1 = 9,08 m·s-1, hodimo  (3) 3.3 KGETHO YA 1 Hodimo ke positifo Tlase ke posetifo Bolo ya A: Δy = v i Δt + 21 at 2  Δy = v i Δt + 21 at 2  ∆y = -12(2,5) + ½(-9,8)(2,5)2  ∆y = 12(2,5) + ½(9,8)(2,5)2  ∆y = - 60,625 m ∆y = 60,625 m (Bophahamo = 29,375 m) (Bophahamo = 29,375 m) Bolo ya B: Bolo ya B: Δy = v i Δt + 21 at 2 Δy = v i Δt + 21 at 2 .. = 30(2,5) + ½(-9,8)(2,5)2  = -30(2,5) + ½(9,8)(2,5)2  = 44,375 m = - 44,375 m Sebaka = 44,375 - 29,375  Sebaka = 44,375 – 29,375  = 15 m  = 15 m  KGETHO YA 1 Bolo ya A vf = vi + a t vf = -12 + (-9,8)(2,135) vf = 32,923 m·s-1, tlase Δy = v i Δt + 21 at 2  ∆y = -32(2,5-2,135) + ½(-9,8)(2,5-2,135)2  ∆y = - 12,6696 m Bolo ya B Δy = v i Δt + 21 at 2 ∆y = 9,08(2,5 – 2,135) + ½(-9,8)(2,5 – 2,135)2 ∆y = 2,66 m Sebaka = 2,66 + 12,6696  15,33 m  Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 9 3.4 KGETHO YA 1 Hodimo ke positifo KGETHO YA 2 Tlase ke posetifo Mokhwa wa ho tshwaya kerafo Dimaraka Sebopeho a bolo ya A ho zero position.  Sebopeho sa bolo ya B ho ya hodimo ho fihlela dilaene diteyana le nako. 2,135 s/  Nako ya 2,135 s e bontshitswe  Fatshe ha se zero position (Ha ntho e nngwe le e nngwe e nepahetse): 2/3/ (3) [12] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 10 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 4 4.1 Totale momentamo ✓o lineya ya aesolated sisitimi✓ e dula ele konsetente/konsefote. (2) 4.2 Hlakore le letona ke positifo Σpi = Σpf E nngwe✓ (mvi)1 + (mvi)2 = (mvf)1 + (mvf)2 (5 000)(15) + (2 000)(-20 ✓ = (5 000)vf + (2 000)(5) ✓ vi = 5 m·s-1✓ Hlakore le letshehadi ke posetifo Σpi = Σpf E nngwe ✓ (mvi)1 + (mvi)2 = (mvf)1 + (mvf)2 (5 000)(-15) + (2 000)(20) ✓ = (5000)vf + ( 2000)(-5) ✓ vi = -5 m·s-1 Makenetjute ya felositi = 5 m∙s-1 ✓ (4) 4.3 KGETHO YA 1 Fnet∆t = ∆p E nngwe ✓ Fnet Δt = mvf – mvi Fnet (0,4) ✓ = (5 000)(5) – (5 000)(15) ✓ Fnet = -125 000 N Fnet = 125 000 N ho ya ho le letona ✓ KGETHO YA 2 Fnet∆t = ∆p E nngwe ✓ Fnet Δt = mvf – mvi Fnet (0,4) ✓ = (2000)(-5) – (2000)(20) ✓ Fnet = -125 000 N Fnet = 125 000 N ho ya ho le letona ✓ (4) [10] Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 11 POTSO YA 5 5.1 Kamora monna  (1) 5.2 Newton’s third Law of motion Ha ntho e phusha fose ho ntho ya bobedi, ntho ya bobedi e phusha ka fose e lekanang ka makenetjute empa e ya kgahlanong malebana le ntho ya pele.  (3) 5.3 KGETHO 1 Wnet = ∆K E nngwe✓ Wg + Wf = ∆K Fg∆xcosӨ + f∆xcosӨ = ∆K (57)(9,8)(4)cos180°  + 40∆xcos180o = 0 – ½(57)(62)  ∆x = - 30,21 m 4 Sin Ө = 30,21 Ө = 7,61°  KGETHO YA 2 Wnc = ΔU + ΔK / Wnc = ΔEp + ΔEk  40∆xcos180o  = (57)(9,8)(4) – (57)(9,8)(0)  + ½ (57)(0)2 – ½ (57)(6)2  ∆x = -30,21 m 4 Sin Ө = 30,21 Ө = 7,61°  (5) 5.4 KGETHO YA 1 Wnet = ∆K E nngwe ✓ WT + Wg + Wf = ∆K (80)(5)(4)cos0° + (4)(9,8)sin30° •(5)cos180° + (15)(5)cos180°  = ½(4)vf2 – ½(4)(32)  vf = 11,07 m·s-1  KGETHO YA 2 Wnc = ΔU + ΔK E nngwe ✓ WT + Wf = ΔU + ΔK (80)(5)(4)cos0° + (15)(5)cos180°  = (4)(9,8)(sin30°)(5) – (4)(9,8)(0)  + ½ (4)vf2 – ½ (4)(3)2  vf = 11,07 m·s-1  (6) [15] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 12 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 6 6.1 Phetoho(e ka bang teng) ya forekwensi/pitjhi ya(modumo) wa weifo e utluwang ke modumo wa diweifo ha motsamo o bapiswang dipakeng tsa momamedi le sose e etsang modumo  (2) 6.2.1 E ya eketseha  (1) 6.2.2 E ya fokotseha  (1) 6.3 v  vL v + vL fL = f s  or fL = 𝑓𝑆  v  vs v 330 + 30 fL=  x 1 800  330 − 0 fL = 1 963,6 Hz  (5) 6.4 Ma Dilabole tsa akesese  Forekwensi e hodimo qalong  Forekwensi e tlase ya nako e  eketsehang (3) 6.5 Bloodflow meter  / Doppler flow meter / (1) [13] Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 13 POTSO YA 7 7.1 Fose e hwehwelang kapa e phushang dipakeng tsa dithjatjhe tse pedi e amana ka kotloloho le tlhaiso ya makenetjute ya ditjhatjhe hape e ha e amane ka kotloloho le sebaka se dipakeng tsa stona. (2) 7.2 Ka ha FK on M = FG on M  (Fnet)2 = (FK on M)2 + (FG on M)2 (2,864 x 10-6)2  = F2 + F2 F = 2,025 x 10-6 N  (4) 7.3 F = kQ1Q2  r2 2,025 x 10-6  = 9 x 109 x 6 x 10-9 x 6 x 10-9  (X)2 X = 0,4 m  (4) [10] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 14 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 8 8.1 (3) Mokhwa wa ho tswaya Sebopeho se nepahetseng  Lehlakore le nepahetseng  Dilaene tse thetsanang le tse  fapanyetsanang 8.2 Eleketerosetatikese fose e etswang per unit posetifo tjhatje e beuweng ntlheng. (2) 8.3 EP = kQ1  r2 EP = 9 x 109 x 200 x 10-9  (0,2)2 EP = 45 000 N.C-1 ho ya ho le letona EQ = kQ2 r2 EQ = 9 x 109 x 200 x 10-9  (0,4)2 EQ = 11 250 N.C-1 ho ya ho le le tshehadi Enet = 45 000 + (-11 250)  Enet = 33 750 N.C-1 ho ya ho leletona  (5) [10] Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 15 POTSO YA 9 9.1 Ho netefatsa motsamao o potapotang wa khwele.  (1) 9.2 (i) Repoleisa sose ya potenshiale diforense ka load/resisetara.  (ii) Repolaisa sepoliti reng (commutator) ka (tse pedi) selipo reng (2) 9.3 I I rms = max  2 0,54 Irms =  √2 Irms = 0,38 A Pave = VrmsIrms  60 = Vrms x 0,38  Vrms = 157,89 V  (5) [8] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 16 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 10 10.1 Potensheale diforense e amana ka kotloloho le karente,ha motjheso u sa fetohe. KAPA Reshio ya potensheale diforense ho karente ha motjheso u sa fetohe. (2) 10.2 KGETHO YA 1 KGETHO YA 2 V2 P = VI  P =  IR = P/V = 13,5/18  = 0,75 A R (18)2 V = IR 13,5 =  R = V/IR = 18/0,75 = 24 Ω  R R = 24 Ω  (3) 10.3 KGETHO YA 1 KGETHO YA 2 V 1 1 1 R =  = +  I Rp 𝑅1 R2 1 1 1  = +  24 = (18) RP 12 24 RP = 8 Ω  I V = IRP 18 = I (8)  I = 0,75 A I = 2,25 A  Vp R= I12 18 12 = I12 I12 = 1,5 A  ITotal = 1,5 + 0,75 = 2,25 A  (5) 10.4 Resisetense ya kahare e kgahlanong le ho phalla ha tjhaetjhe kahara betiri.  (2) 10.5 V10 = IR10  V10 = 2,25 x 10  V10 = 22,5 V  (3) Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/LOETSE 2024) FISIKALE SAENSESE P1 17 10.6 KGETHO1 V1 = Vext V1 = VP + V10 V1 = 18 + 22,5  V1 = 40,5 V Ha switjhi e butswe Emf = 45,9 V Folete tse lahlehileng ‘lost volts’ ke: Vlost = emf – Vext = 45,9 – 40,5  = 5,4 V V r= L  I 5,4 r=  2,25 r = 2,4 Ω  KGETHO YA 2 1 1 1 Emf = I (R + r)  = + Rp r1 r2 1 1 1 45,9 = (2,25) (8 + 10 + r)  = +  RP 12 24 r = 2,4 Ω  RP = 8 Ω (5) 10.7 E ya eketseha (1) [21] Boqapi ba sengoli bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 18 FISIKALE SAENSESE P1 (EC/LOETSE 2024) POTSO YA 11 11.1 c = f x λ Amohela v = f λ 3 x 108 = f x 229 x 10-9 f = 1,31 x 1015 Hz  (3) 11.2 Threshold forekwensi (1) 11.3 Work function ya boleng bo bonyanyananyanyana ba eneji bo hlokahala ho ntsha eleketerone safeise e thata e fanweng, hangata ke tshepe.  (2) 11.4 E = Wo + Ek ( max )  hf = Wo + ½ mv2 6,63 x 10-34 x f  = (6,63 x 10-34 x 1,31 x 1015) + ½ (9,11 x 10-31) (1,57 x 106)2  f = 3 x 1015 Hz  (4) 11.5 E YA EKETSEHA  Ho fokotseha ha weifolenfo ho fana ka sephetho sa ho nyoloha ha forekwensi.  Work function e ya nyoloha.  KAPA 1 Wo ∝ λ  (3) o [13] TOTALE: 150 Boqapi ba sengodi bo hlontjhwe Ka kopo phetla Hosted by www.ecexams.co.za.