# Physical Sciences Grade 12 Paper 1 NSC June 2021 Memo > Grade 12 Physical Sciences Paper 1 memorandum from the NSC June Exam 2021, 24 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/physical-sciences-p1-may-june-2021-mg-afr-eng/0c6bbda2-ded8-40b8-887e-ac67acc7a030 - Updated: 2026-10-29 - Subject: Physical Sciences - Grade: Grade 12 - Document type: Memorandum - Year: 2021 - Exam period: NSC June Exam - Paper: 1 - Curriculum: CAPS - Pages: 24 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 12](https://www.hlayiso.com/library/grade-12) › [Physical Sciences](https://www.hlayiso.com/library/grade-12/physical-sciences) › [Physical Sciences Grade 12 Paper 1 NSC June 2021 Memo](https://www.hlayiso.com/library/physical-sciences-p1-may-june-2021-mg-afr-eng/0c6bbda2-ded8-40b8-887e-ac67acc7a030) ## About this document Physical Sciences · Grade 12 · NSC June Exam · 2021. Memorandum. Read online or download the PDF. Read it free online on the page above; download the PDF from there. ## Document text Text extracted from the PDF. Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com SENIOR CERTIFICATE EXAMINATIONS/ NATIONAL SENIOR CERTIFICATE EXAMINATIONS SENIORSERTIFIKAAT-EKSAMEN/ NASIONALE SENIORSERTIFIKAAT-EKSAMEN PHYSICAL SCIENCES: PHYSICS (P1) FISIESE WETENSKAPPE: FISIKA (V1) 2021 MARKING GUIDELINES/NASIENRIGLYNE MARKS/PUNTE: 150 These marking guidelines consist of 24 pages./ Hierdie nasienriglyne bestaan uit 24 bladsye. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 2 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 2 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 1/VRAAG 1 1.1 C  (2) 1.2 A  (2) 1.3 D  (2) 1.4 D  (2) 1.5 B  (2) 1.6 B  (2) 1.7 A  (2) 1.8 C  (2) 1.9 C  (2) 1.10 C  (2) [20] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 3 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 3 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 2/VRAAG 2 2.1 NOTE/LET WEL -1 mark for each key word/phrase omitted in the correct context. -1 punt vir elke sleutel woord/frase in die korrekte konteks weggelaat. The word “resultant/net force” has to be mentioned at least once Die woord “resultante/netto krag” moet ten minste een keer genoem word When a (non-zero) resultant/net force acts on an object, the object will accelerate in the direction of the force with an acceleration that is directly proportional to the force  and inversely proportional to the mass of the object.  Wanneer 'n (nie-nul) resultante/netto krag op 'n voorwerp inwerk, sal die voorwerp in die rigting van die krag versnel teen 'n versnelling wat direk eweredig is aan die krag en omgekeerd eweredig aan die massa van die voorwerp. OR/OF The (non-zero) resultant/net force acting on an object is equal to the rate of change of momentum of the object in the direction of the resultant/net force.  Die (nie-nul) resultante/netto krag wat op 'n voorwerp inwerk is gelyk aan die tempo van verandering van momentum van die voorwerp in die rigting van die resultante/netto krag. (2) 2.2 ACCEPT/AANVAAR N N T • T F F f f w w Accept the following symbols./Aanvaar die volgende simbole: N FN / Normal / Normaal / Normal force / Normaalkrag / 78,4 N Ff / fk / fr / / Fw / frictional force/wrywingskrag/kinetic frictional force f / kinetiese wrywingskrag Fg,/ mg / weight / FEarth on block/ 78,4 N / gravitational force / gewig / w Faarde op blok / gravitasiekrag/ gravity / gravitasie T Tension / Spanning / FT / Fs Fapplied/toegepas  F / FA / Fapp / Ftoeg / 29,6 N / Applied force / Toegepaste krag Notes/Aantekeninge  Mark is awarded for label and arrow. /Punt word toegeken vir byskrif en pyltjie  Do not penalise for length of arrows. Moenie vir die lengte van die pyltjies penaliseer nie.  Deduct 1 mark for any additional force. /Trek 1 punt af vir enige addisionele krag.  If force(s) do not make contact with body/dot /Indien krag(te) nie met die voorwerp / kolletjie kontak maak nie: Max./Maks: 4 5  If arrows missing/Indien pyltjies uitgelaat is: Max./Maks: 4 5 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 4 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 4 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne 2.3 OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 8 kg block/blok: 2 kg block/blok: Fnet = ma Any one/Enige een Fnet = ma Any one/Enige een Fnet = 0 Fnet = 0 F – (f + T) = ma T–w=0 29,6 – 10 – T = 0  T = w = mg = (2)(9,8)  T = 19,6 N  T = 19,6 N  OPTION 3/OPSIE 3 Wnet = Ek  W w + W N + W F + W f + WT = 0 0 + 0 + Fxcos + fxcos + Txcos = 0 (29,6)cos0° + (10)cos180° + Tcos180° = 0  29,6 – 10 – T = 0 T = 19,6 N  OPTION 4/OPSIE 4 Wnc = ΔEp + ΔEk  WF + W f + W T = 0 + 0 Fxcos + fxcos + Txcos = 0 (29,6)cos0° + (10)cos180° + Tcos180° = 0  29,6 – 10 – T = 0 T = 19,6 N  (3) 2.4.1 8 kg block/blok Marking criteria/Nasienkriteria Fnet = ma  Appropriate formula / Any one/Enige een F– (f + T) = ma Geskikte formule  50 – 10 – T = 8a   Substitution for forces on 8 kg / 40 – T = 8a Vervanging van kragte op die 8 kg   2a OR/OF 8a  2 kg block/blok  Substitution of forces on 2 kg / Vervanging van kragte op die 2 kg  Fnet = ma  Final answer/Finale antwoord T – mg = ma 2,04 m∙s-2  T – 2(9,8) = 2a 40 – 19,6 = 10a 20,4 = 10a a = 2,04 m∙s-2  (5) 2.4.2 POSITIVE MARKING FROM QUESTION 2.4.1 POSITIEWE NASIEN VANAF VRAAG 2.4.1 Substitute/Vervang a Marking criteria/Nasienkriteria T – 2(9,8) = 2a  Substitution of a/Vervanging van a  T – 19,6 = 2(2,04)   Final answer/Finale antwoord: T = 23,68 N  23,68 N  OR/OF Notes/Aantekeninge 40 – T = 8a If substitution into incorrect equation for T = 40 – 8(2,04)  T / Indien vervanging in verkeerde T = 23,68 N  vergelyking vir T: Max/Maks 1 2 (2) [17] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 5 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 5 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 3/VRAAG 3 3.1 Weight / gravitational force / Gewig / Gravitasiekrag  Accept/Aanvaar: Gravity /Gravitasie (1) 3.2 9,8 m∙s-2  downwards / afwaarts  (2) 3.3 3 (m)  (1) 3.4.1 OPTION 1/OPSIE 1 y 2 - y1 Gradient/Gradiënt = x 2 - x1  0 - vi  -9,8  =     1,02 - 0  vi = 10 m∙s-1 (9,996) OPTION 2/OPSIE 2 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF vf = vi + aΔt  vf = vi + aΔt  0 = vi + (-9,8)(1,02)  0 = vi + (9,8)(1,02)  vi = 10 m∙s-1(9,996) vi = -10 vi = 10 m∙s-1  (9,996) OPTION 3/OPSIE 3 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF vf = vi + aΔt  vf = vi + aΔt  -v = v + (-9,8)(2,04)  v = -v + (9,8)(2,04)  v = 10 m∙s-1  (9,996) v = -10 v = 10 m∙s-1(9,996) OPTION 4/ OPSIE 4 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF Δy = viΔt + ½ aΔt2 Δy = viΔt + ½ aΔt2 0 = vi(2,04)+ ½(-9,8)(2,04)2  0 = vi(2,04)+ ½(9,8)(2,04)2  vi = 10 m∙s-1  (9,996) vi = -10 vi = 10 m∙s-1(9,996) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 6 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 6 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne OPTION 5/OPSIE 5 UPWARDS POSITIVE/ DOWNWARDS POSITIVE/ OPWAARTS POSITIEF: AFWAARTS POSITIEF:  v  vf   v  vf  Δy   i  Δt Δy   i  Δt  2   2  v  0 v  0  i  1,02  i  1,02  2   2  vf2 = vi2 + 2aΔy  vf2 = vi2 + 2aΔy  v  0 v  0 02 = vi2 + 2(-9,8)  i  1,02  02 = vi2 + 2(9,8)  i  1,02   2   2  vi = 10 m∙s-1  (9,996) vi = -10 m∙s-1 vi = 10 m∙s-1  (9,996) From maximum height to projection point/ Vanaf maksimum hoogte tot punt van projeksie: OPTION 6/OPSIE 6 UPWARDS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS POSITIEF AFWAARTS POSITIEF vf = vi + aΔt  vf = vi + aΔt  vf = 0 + (-9,8)(1,02) vf = 0 + (9,8)(1,02)  -1 vf = 10 m·s vf = 10 m·s-1 vi = 10 m·s-1  vi = 10 m·s-1  OPTION 7/OPSIE 7 OPTION 8/OPSIE 8 (Ep + Ek)top/bo =(Ep + Ek)bottom/onder  Wnet = Ek  mgh + 0 = 0 + ½ mv2 Fnetycosθ = ½ m(vf2 – vi2) 2 (9,8)(5,09796) = ½ v  maycosθ= ½ m(vf2 – vi2) 2 (2) (9,8)(5,09796) = v (0,06)(9,8)(5,09796)= ½ (0,06)(vf2 -02) -1 vi = 10 ms  (9,996) vi = 10 ms-1  (9,996) OPTION 9/OPSIE 9 Wnc = ΔEp + ΔEk  0 = mg(hf – hi) + ½ m(vf2 – vi2) 0 = (0,06)(9,8)(hf – 0) + ½ (0,06)(02 – vi2)  vi = 10 ms-1  (9,996) OPTION 10/OPSIE 10 FnetΔt = mΔv  (0,06)(-9,8)(1,02) = (0,06)(0 - vi)  vi = 10 ms-1  (9,996) (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 7 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 7 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne 3.4.2 POSITIVE MARKING FROM QUESTION 3.4.1 / POSITIEWE NASIEN VANAF VRAAG 3.4.1 Marking criteria OPTIONS 1-5/Nasienkriteria OPSIES 1-5  Appropriate formula / Geskikte formule  Substitution / Vervanging   Adding answer to 3/Tel 3 by antwoord   Final answer/ Finale antwoord 8,1 m  (8,098 – 8,102) OPTION 1/ OPSIE 1 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF vf2 = vi2 + 2aΔy  vf2 = vi2 + 2aΔy  02 = (10)2 + 2(-9,8)Δy  02 = (-10)2 + 2(9,8) Δy  Δy = -5,1 m (-5,102) Δy = 5,1 m (5,102) h = 5,1 + 3  h = 5,1 + 3  = 8,1 m (8,102) = 8,1 m(8,102) OPTION 2/ OPSIE 2 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF Δy = viΔt + ½ aΔt2 Δy = viΔt + ½ aΔt2 = (10)(1,02) + ½ (-9,8)(1,02)2  = (-10)(1,02) + ½ (9,8)(1,02)2  Δy = 5,1 m (5,102) Δy = -5,1 m (-5,102) h = 5,1 + 3  h = 5,1 + 3  = 8,1 m (8,102) = 8,1 m (8,102) OPTION 3/OPSIE 3 UPWARDS POSITIVE/ DOWNWARDS POSITIVE/ OPWAARTS POSITIEF: AFWAARTS POSITIEF:  v  vf   v  vf  Δy   i  Δt  Δy   i  Δt   2   2   0  10   0  10    1,02    1,02   2   2  Δy = -5,1 m Δy = 5,1 m h = 5,1 + 3  h = 5,1 + 3  = 8,1 m  = 8,1 m  OPTION 4/ OPSIE 4 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF Δy = viΔt + ½ aΔt2 Δy = viΔt + ½ aΔt2  = 0 + ½ (-9,8)(1,02)2  = 0 + ½ (9,8)(1,02)2  Δy = -5,1 m (-5,098) Δy = 5,1 m (5,098) h = 5,1 + 3  h = 5,1 + 3  = 8,1 m  (8,098) = 8,1 m  (8,098) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 8 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 8 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne OPTION 5/OPSIE 5 Wnet = ΔEk Any one/Enige een wΔycos180° = ½m( v 2f  v i2 ) (0,06)(9,8)(Δy)cos180° = ½(0,06)(0 - 102)  Δy = 5,1 m h = 5,1 + 3  = 8,1 m  OPTION 6/ OPSIE 6 (Emech) 3 m(ref/verw) = (Emech)Top/Bo (EP +EK) 3 m(ref/verw) = (EP +EK)Top/Bo Any one/Enige een (mgh + ½ mv2)3 m (ref/verw) = (mgh + ½ mv2)Top/Bo (0) + ½(0,06)(10)2 = (0,06)(9,8)(h) + 0  h = 5,1 m h = 5,1 m h = 5,1 + 3  = 8,1 m  Marking criteria OPTIONS 7 to 9/Nasienkriteria OPSIES 7 tot 9  Appropriate formula / Geskikte formule  Substitution / Vervanging   Final answer/ Finale antwoord: 8,1 m  OPTION 7/ OPSIE 7 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF Δy = viΔt + ½ aΔt2  Δy = viΔt + ½ aΔt2  -3 = 10 Δt + ½ (-9,8)Δt2  +3 = -10 Δt + ½ (9,8)Δt2  Δt = 2,31 s (2,306) Δt = 2,31 s (2,306) Δy = viΔt + ½ aΔt2 Δy = viΔt + ½ aΔt2 = 0 + ½ (-9,8)(2,31 - 1,02)2  = 0 + ½ (9,8)(2,31 - 1,02)2  Δy = - 8,15 m (8,1) Δy = 8,15 m (8,1) h = 8,15 m (8,1)  h = 8,15 m (8,1)  OPTION 8/ OPSIE 8 (Emech) 3 m (ref/verw) = (Emech)Top/Bo (EP +EK) 3 m(ref/verw) = (EP +EK)Top/Bo Any one/Enige een (mgh + ½ mv2)3 m(ref/verw) = (mgh + ½ mv2)Top/Bo (0,06)(9,8)(3) + ½(0,06)(10)2  = (0,06)(9,8)(h) + 0  h = 8,1 m  OPTION 9/OPSIE 9 Wnc = ΔEp + ΔEk Any one/Enige een 0 = mg(hf - hi)+ ½m(vf2 – vi2) 0 = (0,06)(9,8)(hf - 3)  + ½(0,06)(0 – 102)  h = 8,1 m  Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 9 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 9 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne Marking criteria Options 10 to 11/Nasienkriteria Opsies 10 tot 11  Formula / Formule  Substitution to calculate vf/ Vervanging om vf te bereken  Substitution to calculate Δy/ Vervanging om Δy te bereken  Final answer / Finale antwoord: 8,1 m  OPTION 10/OPSIE 10 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF MAXIMUM HEIGHT TO GROUND/ MAXIMUM HEIGHT TO GROUND/ MAKSIMUM HOOGTE TOT GROND MAKSIMUM HOOGTE TOT GROND vf2 = vi2 + 2aΔy  vf2 = vi2 + 2aΔy  = (10)2 + 2(-9,8)(-3)  = (-10)2 + 2(9,8)(3)  vf = - 12,60 vf = 12,60 m∙s-1(12,62) vf = 12,6 m∙s-1 (12,62) vf2 = vi2 + 2aΔy 2 2 vf = vi + 2aΔy (12,60)2 = (0)2 + 2(9,8) Δy  (-12,60)2 = (0)2 + 2(-9,8)Δy  Δy = 8,1 m (8,102 - 8,103) Δy = - 8,1 m Δy = 8,1 m (8,102 - 8,103) OPTION 11/OPSIE 11 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF FROM BALCONY TO GROUND/ FROM BALCONY TO GROUND/ VANAF BALKON TOT GROND VANAF BALKON TOT GROND vf2 = vi2 + 2aΔy vf2 = vi2 + 2aΔy  = (-10)2 + 2(-9,8)(-3)  = (10)2 + 2(9,8)(3)  vf = - 12,60 vf = 12,6 m∙s-1 vf = 12,6 m∙s-1 v f  v i  at v f  v i  at 12,60 = 0 + (9,8)Δt -12,60 = 0 + (-9,8)Δt Δt = 1,29 s (1,286) Δt = 1,29 s (1,286) Δy = viΔt + ½ aΔt2 2 Δy = viΔt + ½ aΔt = 0 + ½ (9,8)(1,29)2  = 0 + ½ (-9,8)( 1,29)2  Δy = 8,1 m (8,098) Δy = -8,1 m (-8,098) h1 = 8,1 m  (8,098 – 8,102) h1 = 8,1 m  (8,098 – 8,102) OPTION 12/OPSIE 12 Displacement = Area between the graph and the t-axis Verplasing = Area tussen die grafiek en die t-as = Area of a triangle/Area van „n driehoek  = ½ bh = ½ (1,02)(9,996)  = 5,09796 m Height h/Hoogte h = 3 + 5,09796  = 8,09796 m (8,09796 – 8,102) (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 10 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 10 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne 3.5 POSITIVE MARKING FROM QUESTIONS 3.4.1 and 3.4.2 POSITIEWE NASIEN VANAF VRAE 3.4.1 en 3.4.2 Marking criteria/Nasienkriteria Calculation of / Berekening van 10,78 m∙s-1 or/of 12,60 m∙s-1 or/of 5,93 m:  Any suitable formula/Enige geskikte formule  Any correct substitution/Enige korrekte vervanging W calculation/berekening:  Formula/Formule   Difference in calculated velocities/height/Verskil in berekende snelhede/hoogtes  Correct substitution/Korrekte vervanging  Final answer/Finale antwoord: -1,28 J  OPTION 1/OPSIE 1 When ball is on ground/Wanneer bal op grond is: Work done by the floor = change in Ek (ΔEp = 0) Arbeid verrig deur vloer = verandering in Ek (ΔEp = 0) UPWARDS AS POSITIVE/ OPWAARTS AS POSITIEF vf = vi + at  0 = vi + (-9,8)(1,1)  vi = 10,78 m∙s-1 vf2 = vi2 + 2aΔy W net = ΔEk Any one/Enige een = (10)2 + 2(-9,8)(-3) W nc = ΔEp + ΔEk vf = - 12,60  vf = 12,6 m∙s-1 (12,62) = 0 + ½(0,06)(10,782 – 12,602)  OR vf2 = vi2 + 2aΔy = -1,28 J  (-1,2785) = (0)2 + 2(-9,8)(-8,1) vf = - 12,60 vf = 12,6 m∙s-1 (12,62) DOWNWARDS AS POSITIVE/ AFWAARTS AS POSITIEF vf = vi + at  0 = vi + (9,8)(1,1)  vi = -10,78 vi = 10,78 m∙s-1 vf2 = vi2 + 2aΔy = (-10)2 + 2(9,8)(3) vf = 12,60 m∙s-1 (12,62) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 11 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 11 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne OPTION 2/OPSIE 2 Comparing differences in heights/vergelyk verskil in hoogtes: Work done by the floor = change in Ek (ΔEp = 0) Arbeid verrig deur vloer = verandering in Ek (ΔEp = 0) UPWARDS AS POSITIVE OPWAARTS AS POSITIEF Wnc = ΔEp + ΔEk  Δy = viΔt + ½ aΔt2  = mg(hf - hi)+ ½m(vf2 – vi2) = 0 +½(-9,8)(1,1)2  = -5,93 m = (0,06)(9,8)(5,93 –8,10) + 0  Δy = 5,93 m (5,929) DOWNWARDS AS POSITIVE = - 1,28 J  AFWAARTS AS POSITIEF Δy = viΔt + ½ aΔt2  = 0 + ½(9,8)(1,1)2  = -5,93 m Δy = 5,93 m OPTION 3/OPSIE 3 Comparing differences in heights/vergelyk verskil in hoogtes: Work done by floor/arbeid verrig deur vloer = Change/Verandering in Ep UPWARDS AS POSITIVE OPWAARTS AS POSITIEF vf = vi + at 0 = vi + (-9,8)(1,1) vi = 10,78 m∙s-1  v  vf  Δy   i  Δt   2   10,78  0    1,1   2  Δy = 5,93 m OR/OF vf2 = vi2 + 2aΔy  0 = (10,78)2 + 2(-9,8) Δy Wnc = ΔEp + ΔEk Δy = 5,93 m = mg(hf - hi)+ ½m(vf2 – vi2) DOWNWARDS AS POSITIVE AFWAARTS AS POSITIEF = (0,06)(9,8)(5,93 –8,10) + 0  vf = vi + at 0 = vi + (9,8)(1,1) = - 1,28 J  vi = -10,78 vi = 10,78 m∙s-1  v  vf  Δy   i  Δt   2    10,78  0    1,1   2  Δy = -5,93 m OR/OF vf2 = vi2 + 2aΔy  0 = (-10,78)2 + 2(9,8) Δy Δy = -5,93 m Δy = 5,93 m (6) [17] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 12 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 12 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 4/VRAAG 4 4.1 NOTE: -1 mark for each key word/phrase omitted in the correct context. LET WEL: -1 punt vir elke sleutelwoord/frase weggelaat in die korrekte konteks. The total (linear) momentum of an isolated/closed system remains constant (is conserved). Die totale (liniêre) momentum in „n geϊsoleerde/ geslote sisteem bly konstant (behoue). Accept/Aanvaar The total (linear) momentum before a collision is equal to the total linear momentum after collision in an isolated/closed system. Die totale (lineêre) momentum voor botsing is gelyk aan die totale lineêre momentum na botsing in „n geϊsoleerde/geslote sisteem. (2) 4.2 OPTION 1/OPSIE 1 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF ∑pi = ∑pf Any one/ ∑pi = ∑pf Any one/ (m1 + m2)vi = m1v2f + m2vBf Enige een (m1 + m2)vi = m1v2f + m2vBf Enige een 1 1 (2m + 3m)v = (3m)(- v) + 2mvBf  (2m + 3m)(-v)= (3m)( v) + 2mvBf  3 3 vBf = -3v vBf = 3v upwards/opwaarts  vBf = 3v upwards/opwaarts  OPTION 2/OPSIE 2 UPWARDS AS POSITIVE/ DOWNWARDS AS POSITIVE/ OPWAARTS AS POSITIEF AFWAARTS AS POSITIEF ∆piA = -∆piB Any one/ ∆piA = -∆piB Any one/ mA(vAf - vAif) = - mA(vBf - vBi) Enige een mA(vAf - vAif) = - mA(vBf - vBi) Enige een 1 1 3m(- v – v) = - (2m)(vBf - v)  3m[ v – (-v)] = (2m)[ vBf - (-v)]  3 3 vBf = 3v upwards/opwaarts  vBf = -3v vBf = 3v upwards/opwaarts (5) 4.3 Impulse/Impuls  (1) 4.4 Marking criteria/Nasienkriteria Exact mirror image Presiese spieëlbeeld  Fave /Fgem (N) IF/INDIEN Mirror image at different times / 0 Spieëlbeeld by verskillende tye Time/Tyd (s) Max/maks 1 2 Note/Let wel: If graph is drawn as given in question paper – no mirror image/Indien grafiek geteken word soos in vraestel – geen spieëlbeeld: Max/Maks: 1 2 (2) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 13 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 13 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 5/VRAAG 5 5.1 The rate at which work is done/energy is expended.  (2 or 0) Die tempo waarteen arbeid/werk verrig word/energie verkwis word. (2 of 0) Accept/Aanvaar Work done per unit time / energy expended per unit time. Arbeid verrig per eenheidstyd / energie verkwis per eenheidstyd. (2) 5.2 OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 W W P= P= Δt Any one/Enige een Δt  FΔxcosθ or/of Fycos  Any one/ = mgh = Δt Δt Δt Enige een = (1 250)(9,8)(5,8)  mgx cos 0  = 60 t = 1 184,17 W  (1 184,167)  = (1250)(9,8)(5,8) cos 0  60 = 1 184,17 W  (1 184,167) OPTION 3/OPSIE 3 W P= Δt Fxcosθ Fycos  Any one/Enige een  or/of Δt Δt mgx cos180 =  t (1250)(9,8)(5,8) cos 180 = 60 = - 1 184,17 W (-1 184,167) Power dissipated by the crane/Drywing verkwis deur hyskraan =1 184,17 W OPTION 4/OPSIE 4 Pave = Fvave  5,8 = 1 250(9,8)  60 = 1 184,17 W  (3) 5.3 Note: -1 mark for each key word/phrase omitted in the correct context. Let Wel: -1 punt vir elke sleutelwoord/frase weggelaat in die korrekte konteks. IF: The word 'work' is omitted - 0 marks. INDIEN: Die woord 'arbeid' uitgelaat is - 0 punte. A conservative force is a force for which the work done (in moving an object between two points) is independent of the path taken.  'n Konserwatiewe krag is 'n krag waarvoor die arbeid wat verrig is (om 'n voorwerp tussen twee punte te beweeg) onafhanklik is van die pad wat gevat word. OR/OF A conservative force is a force for which the work done in moving an object in a closed path is zero. „n Konserwatiewe krag is „n krag waarvoor die arbeid verrig om „n voorwerp in „n geslote pad te beweeg, nul is. (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 14 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 14 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne 5.4 Non-conservative/ Nie-konserwatief  (1) 5.5 (Gravitational) potential to kinetic (energy) (Gravitasie)potensiële na kinetiese (energie)  (1) 5.6 Marking criteria/ Nasienkriteria  Any one of the following formulae/ Enigeen van die volgende formules: Wnet = ΔEk / W nc = ΔEk + ΔEp   Substitution to calculate the ΔEk or initial velocity.  Vervanging om ΔEk of begin snelheid te bereken.  Correct substitution of ΔEk in: / Korrekte vervangings van ΔEk in: Wnet = ΔEk / W nc = ΔEk + ΔEp   Correct substitution into / Korrekte vervangings in FΔxcosθ.   Final answer / Finale antwoord: 284 089 N (283 510,63 N to/tot 284 200 N) OPTION 1/OPSIE 1 From R to the wall / Vanaf R na die muur: U = mg(hf – hi) = 1 250(9,8)(0 - 5,8)  = -71 050 J K = - U = 71 050 J Into the wall:/ In die muur in W net = K W wall/muur = Kf - Ki Any one/Enige een Fwall /muur xcosθ = Kf - Ki Fwall/muur(0,25)cos180°  = 0 – 71 050  Fwall/muur = 284 089 N  OPTION 2/OPSIE 2 From R to the wall / Vanaf R na die muur Wnc = K + U Any one/Enige een Wnc = (mghf - mghi) + ½m(vf2 – vi2) 0 = 0 – (1 250)(9,8)(5,8) + ½(1 250)(vf2 – 0)  vi = 10,66 m·s-1 (10,662) Into the wall / In die muur in: W net = K W wall/muur = Kf - Ki Fwall /muur xcosθ = Kf - Ki Fwall/muur(0,25)cos180°  = 0 – ½(1 250)(10,66)2  Fwall/muur = 284 089 N  (284 195,61 N) OPTION 3/OPSIE 3 With ground as reference/ Met grond as verwysing From R to the wall / Vanaf R na die muur: Wnc = K + U Any one/ Wnc = (mghf - mghi) + ½m(vf2 – vi2) Enige een 0 = (1 250)(9,8)[h – (5,8+h)] + ½(1 250)(vf2 – 0)  vi = 10,66 m·s-1 (10,662) Into the wall / In die muur in: W net = K W wall/muur = Kf - Ki Any one/Enige een Fwall/muur xcosθ = Kf - Ki Fwall/muur(0,25)cos180°  = 0 – ½(1 250)(10,66)2  Fwall/muur = 284 089N  (284 195,61 N) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 15 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 15 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne OPTION 4/OPSIE 4 From R to the wall / Vanaf R na die muur: Wnc = K + U Wnc = (mghf - mghi) + ½m(vf2 – vi2) 0 = 0 – (1 250)(9,8)(5,8) + ½(1 250)(vf2 – 0)  vi = 10,66 m·s-1 (10,662) Into the wall / In die muur in: Any one/Enige een Wnc = K + U W wall/muur = ½m(vf2 – vi2) + (mghf - mghi) Fwall/muurxcosθ = ½m(vf2 – vi2) + mghf - mghi Fwall/muur(0,25)cos180°  = ½(1 250)(0 – 10,662)  + 0 Fwall/muur = 284 089 N  (284 195,61) OPTION 5/OPSIE 5 From R to the wall/Vanaf R na die muur: (Emech)Top/Bo = (Emech)Ground/Grond (Ep +Ek)Top = (Ep +Ek)Bottom/Onder (mgh + ½ mv2)Top/Bo = (mgh + ½ mv2)Bottom/Onder (9,8)(5,8) + 0 = 0 + (½ )v2 v = 10,662 m·s-1 Any one/Enige een Into the wall / In die muur in: Wnc = K + U W wall /muur = ½m(vf2 – vi2) + (mghf - mghi) Fwall/muur xcosθ = ½m(vf2 – vi2) + mghf - mghi Fwall/muur 0,25cos180° = ½(1 250)(0 – 10,662)  + 0 Fwall/muur = 284 089 N  OPTION 6/OPSIE 6 For the total motion/Vir die totale beweging: Wnc = K + U W wall/muur = K + mg(hf - hi) Any one/Enige een Fwall/muur xcosθ = K + mghf - mghi Fwall/muur 0,25cos180° = 0 + [ 0 – 1 250(9,8)(5,8)]  Fwall/muur = 284 200 N OPTION 7/OPSIE 7 From R to the wall/Vanaf R na die muur: (Emech)Top/Bo = (Emech)Ground/Grond (Ep +Ek)Top = (Ep +Ek)Bottom/Onder Any one/Enige een (mgh + ½ mv2)Top/Bo = (mgh + ½ mv2)Bottom/Onder (9,8)(5,8) + 0 = 0 + (½ )v2  v = 10,662 m·s-1 Into the wall / In die muur in:  v  vf  Δx   i  Δt  2   10,66  0  0,25    t  2  Δt = 0,0469 s Fnet Δt =m Δv Fwall/muur (0,047)  = 1250(0 -10,66)  Fwall/muur = 283 510,63 N  Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 16 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 16 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne OPTION 8/OPSIE 8 From R to the wall/Vanaf R na die muur: (Emech)Top/Bo = (Emech)Ground/Grond (EP +EK)Top = (EP +EK)Bottom/Onder Any one/Enige een (mgh + ½ mv2)Top/Bo = (mgh + ½ mv2)Bottom/Onder (9,8)(5,8) + 0 = 0 + (½ )v2  v = 10,66 m·s-1 Into the wall / In die muur in: vf2 = vi2 + 2aΔx 0 = (10,66)2 + (2)a(0,25) a = -227,36 m·s-1 (- 227,356) Fwall/muur = ma Fwall/muur = (1 250)(-227,356)  Fwall/muur = - 284 200 (-284 195) Fwall/muur = 284 200 N  (284 195) (5) [14] QUESTION 6/VRAAG 6 6.1 NOTE: -1 mark for each key word/phrase omitted in the correct context. LET WEL: -1 punt vir elke sleutelwoord/frase weggelaat in die korrekte konteks. The change in frequency (or pitch) of the sound detected by a listener because the sound source and the listener have different velocities relative to the medium of sound propagation.  Die verandering in frekwensie (of toonhoogte) van die klank waargeneem deur 'n luisteraar omdat die klankbron en die luisteraar verskillende snelhede relatief tot die medium waarin die klank voortgeplant word, het. OR An (apparent) change in observed/detected frequency (pitch), as a result of the relative motion between a source and an observer (listener). 'n Skynbare verandering in waargenome frekwensie (toonhoogte), as gevolg van die relatiewe beweging tussen die bron en 'n waarnemer/luisteraar. (2) 6.2.1 700 Hz  Learner/observer/listener velocity/speed = zero. Luisteraar/waarnemer/leerder se spoed/snelheid = nul OR/OF No relative motion between source and listener.  Geen relatiewe beweging tussen bron en luisteraar nie. OR/OF Listener and source both stationary. Luisteraar en bron altwee in rus. (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 17 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 17 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne 6.2.2 Away / Weg Observed frequency smaller (than actual frequency / frequency of source.)  Waargenome frekwensie is kleiner as die werklike frekwensie/ frekwensie van die bron. OR/OF f L < fs OR/OF The (observed) frequency decreases / Die (waargenome) frekwensie neem af (2) 6.2.3 OPTION 1/OPSIE 1 v  vL  v  vL fL  fs OR/OF fL  fs v  vs v   v  10 679,1  (700)  v  v = 334,93 m∙s-1 (333,33 m∙s-1) OPTION 2/OPSIE 2 v  vL v  vL fL  fs  OR/OF fL  fs v  vs v   v  20 658,2  (700)  v  v = 334,93 m∙s-1 (333,33 m∙s-1) OPTION 3/OPSIE 3 Note/Aantekening: v  vL v  vL If ratio is used/Indien fL  fs  OR/OF fL  fs verhoudings gebruik: v  vs v  Any correct formula/Enige korrekte formule    v  10  Any correct f value/Enige 679,1 fs v korrekte f waarde  =   v  20 Any correct substitution/Enige 658,2 fs korrekte vervanging - vL  v v  10  Correct ratio/Regte verhouding 1,032 =  v  20  Final answer/Finale antwoord: v = 332,50 m∙s-1  332,50 m∙s-1 OPTION 4/OPSIE 4 v  vL fL  fs  v f fL = - s vL + fs v f Gradient = - s  v 658,2  679,1 700 =-  20  10 v v = 334,93 m·s-1 (5) [11] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 18 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 18 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 7/VRAAG 7 7.1 NOTE: -1 mark for each key word/phrase omitted in the correct context. If the word “force” is omitted 0 marks LET WEL: -1 punt vir elke sleutel woord/frase in die korrekte konteks weggelaat. Indien die woord “krag” uitgelaat word 0 punte. The magnitude of the electrostatic force exerted by one point charge (Q1) on another point charge (Q2) is directly proportional to the product of the (magnitudes) of the charges  and inversely proportional to the square of the distance (r) between them  Die grootte van die elektrostatiese krag wat een puntlading (Q1) op 'n ander puntlading (Q2) uitoefen, is direk eweredig aan die produk van die ladings en omgekeerd eweredig aan die kwadraat van die afstand (r) tussen hulle. (2) 7.2 kQ1Q 2 Note /Aantekening: F   1 mark for all substitutions/ r2 1 punt vir alle vervangings (9x109 )(6 x 10 9 )(5 x 10 9 )  If negative charge substituted / 1,2 x 10 3   r2 Indien negatiewe lading r = 0,015 m  (0,02 m) vervang is Max / Maks 2/3 (3) 7.3 ACCEPT/AANVAAR N N T T FE FE w w ACCEPT/AANVAAR N T w// FE w Accept the following symbols:/Aanvaar die volgende simbole: N FN / Normal / Normaal / Normal force /Normaalkrag w Fg,/mg / weight / FEarth on sphere / 0,098 N / gravitational force / gewig / Faarde op sfeer / gravitasiekrag T Tension / Spanning / FT / FA / Fs /Fp FE  FR / F/ Coulombic Force / Electrostatic force / Coulombkrag / elektrostatiese krag Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 19 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 19 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne Notes/Aantekeninge  Mark awarded for label and arrow / Punt toegeken vir benoeming en pyltjie  Do not penalise for length of arrows since drawing is not to scale. /Moenie vir die lengte van die pyltjies penaliseer nie aangesien die tekening nie volgens skaal is nie  Any other additional force(s) / Enige ander addisionele krag(te) Max/Maks 3 4 If force(s) do not make contact with body / Indien krag(te) nie met die voorwerp  kontak maak nie: Max/Maks: 3 4  If w is not shown but w// and w  are shown give 1 mark for both. Indien w nie aangetoon is nie maar w // and w  is getoon, ken 1 punt toe vir beide. (4) 7.4.1 Fnet = ma T – FE - wll = ma Any one/Enige een T – FE - wll = 0 T – 1,2 x 10-3  – (0,01)(9,8)sin 25° = 0 T = 0,04 N  (0,0426 N) OR/OF Fnet = ma  T – FE - wll = ma T – FE - wll = 0 T – 1,2 x 10-3  – (0,01)(9,8)cos 65° = 0 T = 0,04 N  (0,0426 N) (4) 7.4.2 POSITIVE MARKING FROM QUESTION 7.2 POSITIEWE NASIEN VANAF VRAAG 7.2 Q E= k 2 r Enet = ER + ES Enet = ER + (-ES) Any one/Enige een QR QS Enet = k 2 - k 2 r r QR Q Enet = k 2 + k 2S r r (9  109 )(5  10-9 ) (9  10 9 )(6 x 10 9 ) Enet = -  0,015  0,032 0,032 = - 37 777,78 = 37 777,78 N∙C-1 (3,78 x 104) down (the incline) / towards the charges afwaarts (teen skuinsvlak) /na die ladings  (5) [18] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief ### Page 20 Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 20 DBE/2021 SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne QUESTION 8/VRAAG 8 8.1 (a) (Electrical) energy/work (Elektriese) energie/arbeid  (b) Unit charge/eenheidslading  (Accept/ Aanvaar coulomb) (2) 8.2 OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 Rs = R1 + R2 Rs = R1 + R2 = 4 + 3 =4+3 =7Ω =7Ω 1 1 1 R 1R 2    Rp   Rp R1 R2 R1  R 2 1 1 1 (7)(7) = +  Rp   Rp 7 7 77 Rp = 3,5 Ω  = 3,5 Ω  (4) 8.3.1 POSITIVE MARKING FROM QUESTION 8.2/POSITIEWE NASIEN VANAF VRAAG 8.2 Marking criteria/Nasienkriteria Calculation of current when switch is open and when closed/ Berekening van stroom wanneer skakelaar S oop is en gesluit is:  Suitable formula for opem or closed switch /Geskikte formule vir geslote of oop skakelaar  Correct substitution when switch is open /Korrekte vervanging wanneer skakelaar oop is   Correct substitution when switch is closed /Korrekte vervanging wanneer skakelaar gesluit is  Substitution into formula ε = I(R + r) or ε = Vext + Ir: Vervanging in formule ε = I(R + r) of ε = Veks + Ir:  Formula/Formule   Substitution in formula for open switch/ Vervanging in formule vir oop skakelaar   Substitution in formula for closed switch/ Vervanging in formule vir geslote skakelaar  Calculating r / Berekening van r  Equating the equations / Stel twee vergelykings gelyk aan mekaar   Final answer/Finale antwoord: 0,49 Ω  When the switch is OPEN/Wanneer When the switch is CLOSED/Wanneer die skakelaar OOP is die skakelaar GESLUIT is V V I  (Any one / Enige een) I R R 2,8 2,63 I  I  7 3,5 = 0,4 A = 0,75 A ε = I(R + r)  ε = I(R + r) = 0,4(7 + r)  = 0,75(3,5 + r)  OR OR ε = Vext +Ir ε = Vext +Ir ε = 2,8 + (0,4)r ε = 2,63 + (0,75)r   0,4(7 + r) = 0,75(3,5 + r) 2,8 + (0,4)r = 2,63 + (0,75)r r = 0,49 Ω  OR/OF r = 0,49 Ω  (8) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief Text truncated here. 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