Physical Sciences Grade 12 Paper 1 NSC November 2017 Memo

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 PHYSICAL SCIENCES: PHYSICS (P1) FISIESE WETENSKAPPE: FISIKA (V1) NOVEMBER 2017 MARKING GUIDELINES/NASIENRIGLYNE MARKS/PUNTE: 150 These marking guidelines consist of 20pages. Hierdie nasienriglyne bestaan uit 20 bladsye. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com QUESTION 1 / VRAAG 1 1.1 B  (2) 1.2 D  (2) 1.3 A (2) 1.4 C (2) 1.5 B (2) 1.6 A (2) 1.7 D (2) 1.8 B (2) 1.9 C (2) 1.10 D (2) [20] Copyright reserved/Kopiereg voorbehou

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 3 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION 2 / VRAAG 2 2.1.1 An object continues in its state of rest or uniform motion (moving with constant velocity) unless it is acted upon by an unbalanced (resultant/net) force. OR A body will remain in its state of rest or motion at constant velocity unless a resultant/net force acts on it. OR A body will remain in its state of rest or of uniform motion in a straight line at constant velocity/speed unless a non-zero resultant/net force acts on it. 'n Liggaam sal in sy toestand van rus of uniforme beweging (teen konstante snelheid) volhard tensy 'n ongebalanseerde (resulterende/netto) krag daarop inwerk. OF 'n Liggaam sal in sy toestand van rus of beweging teen konstante snelheid bly tensy 'n resulterende/netto krag daarop inwerk OF 'n Liggaam sal in sy toestand van rus of uniforme beweging in ‘n reguitlyn teen konstante snelheid/spoed volhard tensy 'n nie-nul resulterende/netto krag daarop inwerk. (2) 2.1.3 N F fk w Accepted Labels/Aanvaarde benoemings F g / F w /weight/mg /78,4 N/gravitational force w F g / F w /gewig/mg/78,4 N/gravitasiekrag F app /F A / applied force (Accept T / tension) F F toegepas / F T / toegepaste krag (Aanvaar T / spanning) fk (kinetic) Friction/F f /f/(kineties) wrywing/F w N F N /Normal (force)/Normaal(krag)/ 67,9 N (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 4 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 2.1.3 F net = ma  F net = 0 F+(-f k ) + (-F gll ) = ma F- (f k + F gll ) = ma F - 20,37 - (8)(9,8)sin30o = 0 F = 59,57 N  (5) OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 2.1.4 F net = ma F net = ma   (F g|| - f k ) = ma (f k - F gll ) = ma (8)(9,8)sin30o - 20,37 = 8a  20,37 + [-(8)(9,8)sin30o] = 8a  ∴magnitude/grootte: a = 2,35 m·s-2 ∴a = -2,35 m·s-2 ∴ magnitude/grootte: a = 2,35 m·s-2 (4) 2.2.1 Each body in the universe attracts every other body with a force that is directly proportional to the product of their masses  and inversely proportional to the square of the distance between their centres.  Elke liggaam in die heelal trek elke ander liggaam aan met 'n krag wat direk eweredig is aan die produk van hul massas en omgekeerd eweredig is aan die kwadraat van die afstand tussen hul middelpunte. OR/OF Every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of the masses  of the particles and inversely proportional to the square of the distance between them.  Elke partikel in die heelal trek elke ander partikel aan met 'n krag wat direk eweredig is aan die produk van hul massas en omgekeerd eweredig is aan die kwadraat van die afstand tussen hulle. (2) OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 2.2.2 GM mm g=  F = G 12 2 r2 r  (6,67 x 10 -11 ) M GmM 6= mg = 2  (700 × 10 3 )2  r M = 4,41 x 1022 kg   (6,67 ×10 -11 ) (200) M (200)(6) = (700 × 103 )2  M = 4,41 x 1022 kg  (4) [21] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 5 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION 3 / VRAAG 3 3.1 OPTION 1/OPSIE 1 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: v f = v i + aΔt v f = v i + aΔt 0 = (12) + (-9,8)(Δt)  0 = (-12) + (9,8)(Δt)  Δt = 1,22 s Δt = 1,22 s OPTION 2/OPSIE 2 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: v f 2 = v i 2 + 2aΔy v f 2 = v i 2 + 2aΔy 0 = 122 + 2(-9,8)Δy 0 = (-12)2 + 2(9,8)Δy Δy = 7,35 Δy = -7,35 Δy = v i Δt + ½ aΔt2 Δy = v i Δt + ½ aΔt2 7,35 =12Δt + ½ (-9,8)Δt2 -7,35 = -12Δt + ½ (9,8) Δt2 Δt = 1,22 s Δt = 1,22 s OPTION 3/OPSIE 3 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: v f 2 = v i 2 + 2aΔy v f 2 = v i 2 + 2aΔy 0 = 122 + 2(-9,8)Δy 0 = (-12)2 + 2(9,8)Δy Δy = 7,35 m Δy = -7,35 m  v + vf   v + vf  Δx =  i  Δt  Δx =  i  Δt   2   2  (12 + 0) (- 12 + 0) 7,35 = Δt - 7,35 = Δt 2 2 Δt = 1,22 s Δt = 1,22 s OPTION 4/OPSIE 4 (E mech ) A = (E mech ) top (½ mv2 + mgh) A = (½ mv2 + mgh) top ½m(12)2 + 0 = 0 + m(9,8)(h)  ∴h = Δy = 7,35 m OR/OF  v + vf  Δx =  i  Δt  W net = ΔE k  2  F net Δycosθ = ½ m(v f 2 – v i 2) (12 + 0) m(9,8)Δycos 180o = ½ m(02 – (12)2) 7,35 = Δt 2 Δy = 7,35 m Δt = 1,22 s OR/OF ΔE p + ΔE k = 0 mg(h f – h i ) + ½ m(v f 2 – v i 2) = 0 m(9,8)(h – 0) + ½(m)(0 - 122) = 0 ∴h = Δy = 7,35 m Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 6 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne OPTION 5/OPSIE 5 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: F net Δt = m(v f - v i )  F net Δt = m(v f - v i )  mgΔt = m(v f – v i ) mgΔt = m(v f – v i ) (-9,8)Δt = (0 – 12)  (9,8)Δt = (0 – (-12))  Δt = 1,2245 s  Δt = 1,2245 s  OPTION 6/OPSIE 6 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: Δy = v i Δt + ½ aΔt2  Δy = v i Δt + ½ aΔt2  0 = 12Δt + ½ (-9,8)Δt2 0 = -12Δt + ½ (9,8)Δt2 Δt = 2,4490 s Δt = 2,4490 s Δt = ½ (2,4490) Δt = ½ (2,4490)  = 1,2245 s  = 1,2245 s  (3) 3.2 OPTION 1/OPSIE 1 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: v f = v i + aΔt v f = v i + aΔt -3v = -v + (-9,8)(1,22)  3v = v + (9,8)(1,22)  -1 -1 v = 5,98 m∙s (5,978 – 6,03 m∙s ) v = 5,98 m∙s-1(5,978 – 6,03 m∙s-1) OPTION 2/OPSIE 2 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: F net Δt = m(v f - v i )  F net Δt = m(v f - v i )  mgΔt = m(v f – v i ) mgΔt = m(v f – v i ) (-9,8)(1,2245) = -3v – (-v) (9,8)(1,2245) = 3v - v v = 6,00 m∙s-1  v = 6,00 m∙s-1  (4) 3.3 OPTION 1/OPSIE 1 Upwards positive Downwards positive Opwaarts positief: Afwaarts positief: Δy = v i Δt + ½aΔt2 Δy = v i Δt + ½aΔt2 = (-5,98)(2,44) + ½(-9,8)(2,44) 2 = (5,98)(2,44) + ½(9,8)(2,44) 2  = - 43,764 = 43,764 ∴h = 43,76 m (43,764 – 44,08 m) ∴h = 43,76 m(43,764 – 44,08) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 7 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne OPTION 2/OPSIE 2 Upwards positive Downwards positive Opwaarts positief Afwaarts positief: v f = v i + aΔt v f = v i + aΔt v f = - 5,98 + (-9,8)(2,44) v f = 5,98 + 9,8(2,44) v f = - 29,892 m·s-1 = 29,892 m·s-1 v f 2 = v i 2 + 2aΔy  v f 2 = v i 2 + 2aΔy  (-29,892)2 = (- 5,98)2 + 2(-9,8)Δy (29,892)2 = (5,98)2 + 2(9,8)Δy Δy = - 43, 763 m Δy = 43,76 m ∴h = 43,76 m(43,764 – 44,08) ∴h = 43,76 m(43,764 – 44,08) OPTION 3/OPSIE 3 Upwards positive Downwards positive Opwaarts positief Afwaarts positief: v f = v i + aΔt v f = v i + aΔt v f = - 5,98 + (-9,8)(2,44) v f = 5,98 + 9,8(2,44) -1 v f = - 29,892 m·s = 29,892 m·s-1  v + vf   v + vf  Δx =  i  Δt  Δx =  i  Δt   2   2    − 30 + ( −6,00)     30 + 6,00   =   (2,4490 )   =   (2,4490)    2    2   Δx = - 44,082 m Δx = 44,082 m h = 44,082 m  h = 44,082 m  OPTION 4/OPSIE 4 Upwards positive Downwards positive Opwaarts positief Afwaarts positief: For A/ Vir A For A/ Vir A v f = v i + aΔt v f = v i + aΔt -12 = 12 + (-9,8)Δt 12 = -12 + (9,8)Δt Δt = 2,45 s Δt = 2,45 s For B/ Vir B For B/ Vir B 2 Δx = v i Δt + ½ aΔt  Δx = v i Δt + ½ aΔt2  = (-5,98)(2,45) + ½ (-9,8)(2,45)2  = (5,98)(2,45) + ½ (9,8)(2,45)2  = - 44,06 m = 44,06 m h = 44,06 m  h = 44,06 m  (3) OPTION 5/OPSIE 5 Upwards positive Downwards positive Opwaarts positief Afwaarts positief: Δy = v i Δt + ½aΔt2  Δy = v i Δt + ½aΔt2  Δy A = 12Δt + ½ aΔt2 Δy A = -12Δt + ½ aΔt2 Δy B = -6Δt + ½ aΔt2 Δy B = 6Δt + ½ aΔt2 Δy A – Δy B = 12Δt – (-6Δt) Δy A – Δy B = 12Δt – (-6Δt) 0 – Δy B = 18Δt  0 – Δy B = -18Δt  = 18(2,44) = -18(2,44) = 43,92 m = 43,92 m h = 43,92 m  h = 43,92 m  (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 8 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne OPTION 6/OPSIE 6 Upwards positive Downwards positive Opwaarts positief Afwaarts positief: W net = ΔE k  W net = ΔE k  mgΔycosθ = ½ m(v f 2 – v i 2) mgΔycosθ = ½ m(v f 2 – v i 2) o 2 2 (-9,8)hcos0 = ½ (-20) – ½ (-6)  (9,8)hcos0o = ½ (20)2 – ½ (6)2  h = 44,082 m  h = 44,082 m  OPTION 7/OPSIE 7 (E p + E k ) top/bo = (E p + E k ) bottom/onder mgh i + ½ mv i 2 = mgh f + ½ mv f 2  (9,8)h + ½ (6)2 = (9,8)(0) + ½ (30)2  h = 44,082 m  (3) 3.4 UPWARDS AS POSITIVE/OPWAARTS AS POSITIEF velocity (m∙s-1) A snelheid (m∙s-1) 1,22 time (s) -5,98 tyd (s) B Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 9 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne DOWNWARDS AS POSITIVE/AFWAARTS AS POSITIEF velocity (m∙s-1) snelheid (m∙s-1) B 5,98 1,22 time (s) A tyd (s) Criteria for graph/Kriteria vir grafiek Marks/Punte Time 1,22 s shown correctly/Tyd 1,22 s korrek getoon  Initial velocity for stone B at time t = 0 correctly shown with correct signs  / Aanvanklike snelheid vir klip B korrek met korrekte tekens getoon Two sloping parallel lines with A crossing the time axis /Twee skuins  parallelle lyne met A wat die tyd-as kruis Straight line graph for A parallel to graph B, extending beyond the time when B hits the ground/ Reguitlyn grafiek A parallel aan grafiek B  verleng verby die tyd wanneer B die grond tref (4) [14] QUESTION 4 /VRAAG 4 4.1 The total linear momentum in an isolated/closed system is constant. Die totale liniêre momentum in 'n geïsoleerde (geslote) sisteem is konstant OR/OF In an isolated/closed system, total linear momentum before collision is equal to total linear momentum after collision.  In 'n geïsoleerde (geslote) sisteem is die totale liniêre momentum voor die botsing gelyk aan die totale momentum na die botsing. (2) 4.2 Σp i = Σp f  m B v Bi + m b v bi = m B v Bf + m b v bf Δp bullet = -Δp block (0,015)(400) + 0 = (0,015)v Bf + 2(0,7) V Bf = 306,67 (306,666)m∙s-1 (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 10 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 4.3 OPTION 1/OPSIE 1 F net Δt = Δp Δp = mv f - mv i  For bullet / Vir koeël For block / Vir blok Δp = (0,015)(306,666 – 400) Δp = (2)(0,7 - 0) = -1,4 kg∙m∙s-1 = 1,4 kg∙m∙s-1 Fnet(0,002) = -1,4 Fnet(0,002) = 1,4 Fnet = -700 N Fnet = 700 N W net = ΔE k F net Δxcosθ = ½ m(v f 2 – v i 2) (700)Δxcos180o = ½ (0,015)(306,672 – 4002) Δx = 0,71 m  F net = ma Δx = v i Δt + ½ aΔt2 -700 = (0,015)a = (400)(0,002) + ½(-46 666,67)(0,002)2 OR/OF = 0,71 m (0,70667) m F met = ma OR/OF 700 = (0,015)a v f 2 = v i 2 + 2aΔx (306, 67)2 = (400)2 + 2(-46 666,67)Δx a = - 46 666,67 Δx = 0,71 m (0,70667 m)  or/of 46 665 m·s-2 OPTION 2/OPSIE 2 v f = v i + aΔt 306,666 = 400 + a (0,002)  a = -46 667 m·s-2 v f 2 = v i 2 + 2aΔx (306,666)2 = 4002 + 2(-4667) Δx Δx = 0,71 m (0,706 m)  OPTION 3/OPSIE 3  v + vf  Δx =  i  Δt   2     400 + 306,666  =  (0,002)   2  = 0,71 m (0,707) m  Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 11 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne OPTION 4/OPSIE 4 W net = ΔK/ΔE k  F net Δxcos θ = maΔxcosθ = ΔK/ΔE k v f = v i + aΔt 306,666 = 400 + a (0,002)  a = -46 667 m·s-2 W net = ΔK/ΔE k F net Δxcos θ = maΔxcosθ = ΔK/ΔE k (0,015)(46 667)Δxcos180o = ½(0,015)(306,6662 – 4002) Δx = 0,71 m (0,707)  OR/OF W nc = ΔE p + ΔE k (0,015)(46 667)Δxcos180o = ½(0,015)(306,6662 – 4002) Δx = 0,71 m (0,707)  (5) [11] QUESTION 5/VRAAG 5 5.1 The net/total work done (on an object) is equal to the change in the object's kinetic energy. Die netto/totale arbeid wat (op 'n voorwerp) verrig is is gelyk aan die verandering in die voorwerp se kinetiese energie. OR/OF The work done on an object by a resultant/net force is equal to the change in the object's kinetic energy. Die arbeid verrig op in voorwerp deur die resultante/netto krag is gelyk aan die verandering in die voorwerp se kinetiese energie. (2) 5.2 T Accepted labels/Aanvaarde benoemings ● F g / F w / weight / mg/ 58,8N / gravitational force / F earth on block w F g / F w / gewig / mg /58,8 N/ gravitasiekrag / F aarde op blok T F T / Tension/ spanning w 5.3 W w = w∆xcosθ W w = - ∆E P  = mg∆xcosθ = - mg(h f – h i ) = (6)(9,8)(1,6)cos0o = - (6)(9,8)(0 – 1,6)  ∴W = 94,08 J  = 94,08 J (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 12 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 5.4 OPTION 1/OPSIE 1 W net = ∆E K /∆K = ½m(v f 2 – v i 2) W net = F net ∆xcosθ W net = W f + W g + W N = µ k NΔxcosθ + W g + W N W net = (0,4)(4)(9,8)(1,6)cos180o  + 94,08 + 0 = 68,992 J W net = ½m(v f 2 – v i 2) 68,992= ½(4)(v f 2 – 0) + ½(6)(v f 2 – 0) v f = 3,71 m∙s-1 OPTION 2/OPSIE 2 W nc = ΔE p + ΔE k  fΔxcosθ = (m 1 gh f – m 1 gh i ) + (½m 1 v f 2 - ½m 1 v i 2) + (½m 2 v f 2 - ½m 2 v i 2) (0,4)(4)(9,8) (1,6) cos 180o = [0 - (6)(9,8)(1,6)]+ (½(6)v f 2 + ½(4)v f 2 - 0) 68,992 = 5v f 2 v f = 3,71 m∙s-1 OPTION 3/OPSIE 3 F net = ma = (6)(4,312) f = µ N = (0,4)(4)(9,8) = 15,68 N = 25,872 k k T – f k = ma W net = F net Δxcosθ w – T = ma = (25,872)(1,6)cos0o T – 15,68 = 4a … .(i) = 41,3952 J (6)(9,8) – T = 6a ……..(ii) ∴a = 4,312 m·s-2 W net = ΔE k  41,3952 = ½ m(v f 2 – v i 2 ∴T = 32,928 N 41,3952 = ½ (6)(vf 2 – 0) vf = 3,7146 m∙s-1 Above calculations can be done with 4 kg or 10 kg / Bostaande berekeninge kan met 4 kg of 10 kg gedoen word 4 kg block 6 kg block W net = ∆E K /∆K W net = ∆E K /∆ K W f + W T = ½m(v f 2 – v i 2) W w + W T = ½m(v f 2 – v i 2) fΔxcos180o + TΔxcos0o = ½(4)(v f 2 – 0) mgΔxcos0o + TΔxcos180o = ½(6)(v f 2 – 0) (15,68)(1,6)(-1) + (32,928)(1,6)(1) = 2v f 2 (6)(9,8)(1,6)(1)+ (32,928)(1,6)(-1)= 3v f 2 v f = 3,72 m·s-1 v f = 3,72 m·s-1 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 13 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne OPTION 4/OPSIE 4 W net = ∆E K /∆K  For the 4 kg mass / Vir die 4 kg massa T(1,6)cos0o + [(0,4)(9,8)(4)](1,6)cos180o = ½(4)v2 – 0) For the 6 kg mass/Vir die 6 kg massa (6)(9,8)(1,6)]cos0o+ T(1,6)cos180o = ½(6)(v2 – 0) Adding the two equations / Optel van twee vergelykings 68,992 = ½ (4)v2 + ½ (6)v2  5v2 = 68,992 v = 3,71 m·s-1 OPTION 5/OPSIE 5 W net = ΔE k  F net Δxcosθ = ½ m(vf 2 –v i 2) (F g – f)Δxcosθ = ½m(v f 2 –vi 2) [(6)(9,8) – (0,4)(4)(9,8)](1,6)cos0o = ½(10)(vf 2 - 0) v f = 3,71m.s-1  (5) [12] QUESTION 6 / VRAAG 6 6.1 It is the (apparent) 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.  Dit is 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 van klankvoortplanting het. OR/OF An (apparent) change in (observed/detected) frequency (pitch), (wavelength) as a result of the relative motion between a source and an observer  (listener). 'n Skynbare verandering in (waargenome) frekwensie (toonhoogte),(golflengte) as gevolg van die relatiewe beweging tussen die bron en 'n waarnemer / luisteraar. (2) 6.2.1 170 Hz (1) 6.2.2 130 Hz (1) 6.3 POSITIVE MARKING FROM QUESTIONS 6.2.1 and 6.2.2/ POSITIEWE NASIEN VANAF VRAAG 6.2.1 en 6.2.2 v ± vL fL = fs  v ± vs  (340 + 0)  170 = ×f 1 (340 - v s ) s   (340 - 0) 130 = × fs 2 340 + v s v s = 45,33 m∙s-1  (45,33 – 45,45 m∙s-1) (6) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 14 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION 7 / VRAAG 7 7.1 The magnitude of the electrostatic force exerted by one point charge on another point charge 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 uitgeoefen deur een puntlading op 'n ander puntlading is direk eweredig aan die produk van die (groottes van die) ladings en omgekeerd eweredig aan die kwadraat van die afstand (r) tussen hulle. OR/OF The force of attraction or repulsion between two point charges is directly proportional to the product of the charges  and inversely proportional to the square of the distance between them.  Die aantrekkings- of afstotingskrag tussen twee puntladings is direk eweredig aan die produk van die ladings en omgekeerd eweredig aan die kwadraat van die afstand tussen hulle. (2) 7.2 OPTION 1/ OPSIE 1 QQ F = k 12 2  r (9 × 10 9 )(6 × 10 -6 )(8 × 10 −6 ) = (0,2)2  = 10,8 N OPTION 2/ OPSIE 2 kQ (9 × 10 9 )(8 × 10 −6 ) E= 2 = 2 = 1,8 x 104 N∙C-1 r (0,2)  F = Eq = (1,8 x 104)(6 x 10-6) = 10,8 N (4)  FXY 7.3  Fnet  FZY (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 15 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 7.4 OPTION 1 /OPSIE 1 2 2 2 Fnet = FXY + FZY 15,20 2 = 10,8 2 + FZY 2 F ZY = 10,696 N Q Q F ZY = k Z 2 Y r 8 × 10 -6 × Q Z 10,696 = 9 × 10 9 ×  (0,30)2 Q Z = 1,34 x 10-5 C OPTION 2 /OPSIE 2 10,8 cosθ = FXY = 10,8 N 15,2 θ θ = 44,72o Fnet = 15,20 N F F sin 44,72 = ZY  OR/OF tan 44,72 = ZY 15,2 FXY F ZY = 10,696 N QZQ Y F ZY = k r2 8 × 10 -6 × Q Z 9 10,696 = 9 × 10 ×  (0,30)2 Q Z = 1,34 x 10-5 C (4) [13] QUESTION 8 / VRAAG 8 8.1 Electric field at a point is the force per unit positive charge placed at that point.  Elektriese veld by 'n punt is die krag per eenheids positiewe lading geplaas by daardie punt. (2) 8.2 kQ E=  r2 E net = (E A + E B ) ( 9 1,5 × 10 ) -6  ( 9 2,0 × 10 -6 ) = 9 ×10 + 9 × 10 (0,4)2 (0,3)2 = 2,84 x 105 N∙C-1  (4) 8.3 OPTION 1/OPSIE 1 F E = qE  = (3,0 x 10-9)( 2,84 x 105)  = 8,52 x 10-4 N  Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 16 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne OPTION 2/OPSIE 2 kQ Q F= 12 2  r F net = (F A + F B )  (9 × 10 9 )(3 × 10 −6 )(1,5 × 10 −6 ) (9 × 10 9 )(3 × 10 −6 )(2,0 × 10 −6 )  =  +    (0,4)2 (0,3)2  = 8,53 x 10-4 N  (3) [9] QUESTION 9 / VRAAG 9 9.1.1 The potential difference (voltage) across a conductor is directly proportional to the current in the conductor at constant temperature.  Die potensiaalverskil (spanning) oor 'n geleier is direk eweredig aan die stroom in die geleier by konstante temperatuur. OR/OF The current in a conductor is directly proportional to the potential difference (voltage) across the conductor if temperature is constant Die stroom in 'n geleier is direk eweredig aan die potensiaalverskil (spanning) oor die geleier indien die temperatuur konstant is. (2) 9.1.2 (Equivalent) resistance/ (Ekwivalente) weerstand (1) 9.1.3 ΔV Gradient/Helling = ΔI 2-0 =  = 4 (Ω) 0,5 - 0 (2) 9.1.4 OPTION 1/OPSIE 1 In series R 1 + R 2 = 4 Ω .............(1) R1R2 In parallel = 1 Ω ..........(2) R1 + R2 R1R2 = 4 Ω ∴R 1 = R 2 = 2 Ω  OPTION 2/OPSIE 2 For graph X/Vir grafiek X: R 1 + R 2 = 4………………(1)  For graph Y/Vir grafiek Y 1 1 1 = + R // R1 R 2  1 1   1    +  =   ...........(2)  1R R 2   1 R 12 - 4R 1 + 4 = 0 R 1 = 2 Ω (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 17 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 9.2.1 V I= R 5 = (RM + RN ) 5 =  ( 6) = 0,83 A (3) 9.2.2 OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 Ɛ = I(R + r)  Ɛ = (V s + V // + V r ) / V ext/eks + V int = [5 + (0,833 x 1,5) + (0,9 x 0,833)]  = 0,83[(6 +1,5) + 0,9] = 6,999 V = 6,997 V = 7(,00) V (6,972 – 7,00 V) = 7(,00) V (6,972 – 7,00 V) 9.2.3 The resistance R N will be 3 Ω  The voltage divides (proportionately) in a series circuit. Since the voltage across M is half the total voltage, it means the resistances of M and N are equal. Die weerstand R N sal 3 Ω wees. Die potensiaalverskil verdeel (eweredig) in 'n serie stroombaan. Aangesien die potensiaalverskil oor M die helfte is van die totale potensiaalverskil, beteken dit dat die weerstande van M en N gelyk is. (2) [18] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 18 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION 10 / VRAAG10 10.1 10.1.1 Mechanical to electrical / Meganies na elektries  (1) 10.1.2 Induced emf/ B D Induced emf/ B D Geinduseerde emk Geinduseerde emk A C A t (s) A C A t (s) OR/OF Induced emf/ Induced emf/ A C A A C A t (s) t (s) Geinduseerde emk B D Geinduseerde emk B D Criteria for graph/Kriteria vir grafiek Marks/Punte Correct DC shape, starting from zero/Korrekte GS vorm wat by nul begin  Positions ABCDA correctly indicated on the graph/Posisies ABCDA of  grafiek aangedui (2) 10.2.1 20,5 Ω (1) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 19 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 10.2.2 OPTION 1/OPSIE 1 Vrms  25 I rms = =  R 20,5 = 1,22 (1,2195) A P ave = I rms 2 R P ave = I rms 2 R W = I2 rms R∆t =(1,22)2(0,5) = (1,22)2(20)  = (1,22)2 (0,5)(1) = 0,74 W = 29,77 W  = 0,74 J V 2 OR/OF Vrms 2 Pave = rms  Pave =  R R V rms/wgk device/toestel = (25)2 20  (25)2  Pave =  × 25 = 24,39 V Pave = 20,5 20,5 20,5 P ave = 30,49 W P ave = 30,49 W P ave = V rms I rms  Actual energy delivered per Actual energy delivered per = (24,39)(1,22) second(power) / Energie second(power) / Energie aan toestel gelewer per sekonde = 29,76 W  aan toestel gelewer per (drywing) sekonde (drywing) = (30,49– 0,74) = (30,49 – 0,74) = 29,75 W = 29,75 W  OPTION 2/OPSIE 2 20  V rms/wgk device/toestel =× 25 = 24,39 V 20,5 Vrms 2 (24,39)2 Pave = = = 29,74 W R 20  (5) [9] QUESTION 11 / VRAAG 11 11.1.1 (Line) emission (spectrum) / (Lyn) emissiespektrum  (1) 11.1.2 (Line) absorption (spectrum ) / (Lyn) absorpsiespektrum  (1) 11.2.1 Emission / Emissie (1) 11.2.2 Energy released in the transition from E 4 to E 2 = E 4 – E 2 Energie vrygestel in die oorgang vanaf E 4 na E 2 = E 4 – E 2 E 4 – E 2 = (2,044 x 10-18 – 1,635 x 10-18) = 4,09 x 10-19J E = hf 4,09 x 10-19 = (6,63 x 10-34)f f = 6,17 x 1014 Hz (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Physical Sciences P1/Fisiese Wetenskappe V1 20 DBE/November 2017 NSC/NSS – Marking Guidelines/Nasienriglyne 11.2.3 E = W 0 + E k(max) hf = hf 0 + E k(max)  Any one/Enige een 2 hf = hf 0 + ½ m v max 2 E = W 0 + ½ m v max 4,09 x 10-19  = (6,63 x 10-34)(4,4 x 1014) + E k(max) E k(max) = 1,17 x 10-19 J OR/OF E k(max) = E light/lig – W o = hf light/lig – hf o  Any one/Enige een = (6,63 x 10-34)( 6,17 x1014) - (6,63 x 10-34)(4,4 x 1014) = 1,17 x 10-19 J  (4) 11.2.4 No / Nee The threshold frequency is greater than the frequency of the photon.  Die drumpelfrekwensie is groter as die frekwensie van die foton OR/OF The frequency of the photon is less than the threshold frequency Die frekwensie van die foton is minder as die drumpelfrekwensie OR/OF Energy of the photon is less than the work function of the metal Energie van foton is minder as die van die arbeidsfunksie van die metaal (2) [13] TOTAL/TOTAAL: 150 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief