# Physical Sciences Grade 12 Paper 1 NSC November 2020 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the NSC November Exam 2020, 19 pages. Read online or download the free PDF.

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- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2020
- Exam period: NSC November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 19

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Physical Sciences · Grade 12 · NSC November Exam · 2020. Memorandum, 19 pages. Read online or download the PDF.

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### Page 1

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             SENIOR CERTIFICATE/SENIOR SERTIFIKAAT
                 NATIONAL SENIOR CERTIFICATE/
                 NASIONALE SENIOR SERTIFIKAAT

                                   GRADE/GRAAD 12

                        PHYSICAL SCIENCES: PHYSICS (P1)
                        FISIESE WETENSKAPPE: FISIKA (V1)

                                        NOVEMBER 2020

                     MARKING GUIDELINES/NASIENRIGLYNE

MARKS/PUNTE: 150

                     These marking guidelines consist of 19 pages./
                      Hierdie nasienriglyne bestaan uit 19 bladsye.

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Physical Sciences/P1/Fisiese Wetenskappe/V1     2                               DBE/November 2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 1/VRAAG 1

1.1       B                                                                                            (2)

1.2       D                                                                                            (2)

1.3       C                                                                                            (2)

1.4       C                                                                                            (2)

1.5       C                                                                                            (2)

1.6       A                                                                                            (2)

1.7       A                                                                                            (2)

1.8       D                                                                                            (2)

1.9       A                                                                                            (2)

1.10      B                                                                                             (2)
                                                                                                         [20]

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Physical Sciences/P1/Fisiese Wetenskappe/V1     3                                             DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 2/VRAAG 2
2.1       Marking criteria/Nasienriglyne
          If any of the underlined key words/phrases in the correct context are omitted:
          - 1 mark per word/phrase.
          Indien enige van die sleutelwoorde/frases in die korrekte konteks weggelaat word:
          - 1 punt per woord/frase

          The perpendicular force exerted by a surface on an object in contact with
          the surface. 
          Die loodregte krag deur 'n oppervlak uitgeoefen op 'n voorwerp wat daarmee
          in kontak is.                                                                                   (2)

2.2      Fapplied   N

          f                  T

                    w
                        Accepted symbols/Aanvaarde simbole
         N             FN/Normal/Normal force/173,5N /Normaal/Normaalkrag
                        Ff /fk /frictional force/wrywingskag/kinetic frictional force/kinetiese
         f
                        wrywingskrag/5 N
                        Fg /mg/Weight/FEarth on block/Fw/Gewig/Gravitational force/
         w
                        Gravitasiekrag/196 N
         T             Tension/Spanning/FT
         Fapplied 
                    F/Applied force/35 N/Toegepaste krag/ FA
         Ftoegepas
          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 all forces are correctly drawn and labelled, but no arrows, deduct 1 mark. /
              Indien all kragte korrek geteken en benoem is, maar geen lyne nie, trek 1punt
              af.                                                                                         (5)

2.3       For the/Vir die 20 kg:                Marking criteria/Nasienriglyne
                            Fnet = ma            Formula for 20 kg or m kg/Formule vir 20 kg of
                                                 m kg / Fnet = ma 
                    T – f – FAx = ma
          T – 5 – 35 cos40°  = 0               Substitution of zero into either formula 
                           T = 31,81 N            Vervanging van nul in een van die formules
                                                 All substitutions into Fnet for 20 kg as shown 
          For/vir m:                              Alle vervanging in Fnet for 20 kg soos getoon
                                                 Substitution of value of T in eqn for m
                    Fnet = ma
                                                  /Substitusie van waarde vir T in vgl vir m 
                 mg – T = ma
                                                 Final answer/finale antwoord: 3,25 kg 
          m(9,8) – 31,81  = 0
                      m = 3,25 kg                                                                        (5)

2.4.1     Decreases/Neem af                                                                              (1)

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Physical Sciences/P1/Fisiese Wetenskappe/V1     4                                          DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

2.4.2     POSITIVE MARKING FROM QUESTION 2.3
          POSITIEWE NASIEN VANAF VRAAG 2.3
          Moving to the right/Beweeg na regs
          Velocity decreases/snelheid neem af 

          Accelerates/Net force to left /Versnelling/netto krag na links

          OR/OF
          As the tension force decreases, the net force/acceleration acts in the opposite
          direction of motion /to the left. 
          Soos die spanning afneem, is daar ‘n netto krag/versnelling in die
          teenoorgestelde rigting / na links

          Moving to the left/Beweeg na links
          Velocity increases/snelheid neem toe 
          Accelerates/Net force to left /Versnelling/netto krag na links                              (3)
                                                                                                       [16]

QUESTION 3/VRAAG 3

3.1       (Motion of an object) under the influence of gravity (weight) only.  (2 or 0)
          (Beweging van ŉ voorwerp) slegs onder die invloed van gravitasie (gewig).

          OR/OF
          (Motion in which) the only force acting on the object is gravity (weight).
          (Beweging waar) die enigste krag wat op die voorwerp inwerk, gravitasie
          (gewig) is.                                                                                  (2)

3.2.1     Δt = 0,67 – 0,64 = 0,03 s                                                                  (2)

3.2.2    OPTION 1/OPSIE 1                           OPTION 2/OPSIE 2
               (1,90  0,67)                       Δx = viΔt + ½ aΔt2
         Δt =                                       (-1,85) = 0 + ½ (-9,8)Δt2 
                     2
            = 0,62 s  (0,615 s)                    Δt = 0,61 s  (0,6145 s)
         OPTION 3/OPSIE 3                           OPTION 4/OPSIE 4
               (1,90  0,67)                        vf2 = vi2 + 2aΔx
         Δt =                = 1,285 s              0 = vi2 + 2(-9,8)(1,85)
                     2
         Δt = 1,285 – 0,67                         vi = 6,02 m·s-1
            = 0,62 s  (0,615 s)
                                                    vf = vi + aΔt
                                                    0 = 6,02 + (-9,8)Δt 
                                                    Δt = 0,61 s                                       (2)

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Physical Sciences/P1/Fisiese Wetenskappe/V1     5                                          DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

3.2.3     POSITIVE MARKING FROM QUESTION 3.2.2
          POSITIEWE NASIEN VANAF VRAAG 3.2.2
          Marking Criteria/Nasienriglyne
           Any appropriate formula/Enige geskikte formule 
           Correct substitution/Korrekte vervanging 
           Final answer/Finale antwoord: 5,94 to 6,08 m·s-1 
          OPTION 1/OPSIE 1                             OPTION 2/OPSIE 2
          Upwards positive/Opwaarts positief           Upwards positive/Opwaarts positief
          vf = vi + aΔt                               Δy = viΔt + ½ aΔt2
          0 = vi + (-9,8)(0,62)                       1,85 = vi (0,62) + ½ (-9,8) (0,62)2 
          vi = 6,08 m·s-1 (6,076 m·s-1 )              vi = 6,02 m·s-1 (6,022 m·s-1 ) 
          Downwards positive/Afwaarts positief         Downwards positive/Afwaarts
          vf = vi + aΔt                               positief
          0 = vi + (9,8)(0,62)                        Δy = viΔt + ½ aΔt2 
          vi = -6,08                                   1,85 = vi (0,62) + ½ (9,8) (0,62)2 
           6,08 m·s-1 (6,076 m·s-1 )                 vi = -6,02
                                                        vi = 6,02 m·s-1 (6,022 m·s-1) 
          OPTION 3/OPSIE 3                             OPTION 4/OPSIE 4
          Motion from top to bottom /                  Upwards positive/Opwaarts positief
          Beweging vanaf bo na onder                   Δy = viΔt + ½ aΔt2 
          Downwards positive/Afwaarts positief         0 = vi(1,23) + ½ (-9,8)(1,23)2 
           v f  v i  2ay 
              2     2
                                                       vi = 6,03 m·s-1 
          vf2 = 0 + 2(9,8)(1,85) 
          vf = 6,02 m·s-1                          Downwards positive/Afwaarts
                                                                                  2
                                                 -1 positief Δy = viΔt + ½ aΔt 
          initial velocity/beginsnelheid=6,02 m·s
                                                    0 = vi(1,23) + ½ (9,8)(1,23)2 
          Upwards positive/Opwaarts positief        vi = - 6,03 m·s-1
                                                    speed/spoed = 6,03 m·s-1
           v f  v i  2ay 
              2     2

          vf2 = 0 + 2(-9,8)(-1,85)                 OPTION 5/OPSIE 5
          vf = 6,02 m·s  -1                                v f  vi 
                                                 -1 Δy =              Δt 
          initial velocity/beginsnelheid=6,02 m·s           2 
                                                              0  vi 
          Motion from bottom to top                 1,85 =             (0,62)
          Beweging vanaf onder na bo                             2 
          Downwards positive/Afwaarts positief      vi = 5,97 m·s-1 
           v f  v i  2ay 
              2     2                               OPTION 6/OPSIE 6
                                                    FnetΔt = mΔv
          02 = vi2 + 2(9,8)(-1,85)                 FnetΔt = m(vf – vi)         
          vi = 6,02 m·s-1                          m(9,8)(0,62) = m(0 – vi) 
                                                    vi = 6,08 m·s-1 
          Upwards positive/Opwaarts positief
           v f  v i  2ay 
              2     2

          0 = vi2 + 2(-9,8)(1,85) 
          vi = 6,02 m·s-1 
          OPTION 7/OPSIE 7
          (Ep + Ek)floor/vloer = (Ep + Ek)top/bo 
          (mgh + ½ mv2)floor/vloer = (mgh + ½ mv2)top/bo
          0 + ½ v2 = (9,8)(1,85) + 0 
          v = 6,02 m·s-1                                                                              (3)

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Physical Sciences/P1/Fisiese Wetenskappe/V1     6                                          DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne
3.2.4    OPTION/OPSIE 1, 2, 3, 4: Marking criteria/Nasienriglyne
         Calculate initial velocity:                Calculate/Bereken Δt:
         Bereken aanvanklike snelheid:               Appropriate formula/Geskikte formule 
          Appropriate formula/Geskikte formule     Substitution/Vervanging 
          Substitution/Vervanging                  1,97 s + Δt 
                                                     Fin answer/Fin antwoord: 2,95 – 2,97 s 
         Calculate initial velocity:                       Calculate time Δt
         Bereken beginsnelheid                             Bereken tyd Δt
         OPTION 1/OPSIE 1                                  Upwards positive
         Downwards positive/Afwaarts positief              Opwaarts positief
         v f  v i  2ay 
            2     2
                                                           Δy = viΔt + ½ aΔt2
         0 = vi2 + 2(9,8)(-1,2)                           1,2 = (4,85)Δt + ½(-9,8)Δt 2 
         vi = - 4,85 m·s-1                                 Δt = 0,4898 s / 0,5 s
                                                           t = 1,97 + 2(0,4898) 
         Upwards positive/Opwaarts positief                  = 2,95 s / 2,97 s 
                                                           OR/OF
         v f  v i  2ay 
            2     2
                                                           Δy = viΔt + ½ aΔt2 
         0 = vi2 + 2(-9,8)(1,2)                           0 = (4,85)Δt + ½(-9,8)Δt2 
         vi = 4,85 m·s-1                                   Δt = 0,9898 s (or Δt = 0)
         OPTION 2/OPSIE 2                                  t = 1,97 + 0,9898  = 2,96 s 
         (Emech)top = (Emech)bot/ond      Any one/
         (Ep +Ek)top = (Ep +Ek)Bot/Ond   Enige een         Downwards positive
                        2                   2
         (mgh + ½mv )top = (mgh + ½mv )Bot/Ond             Afwaarts positief
         (9,8)(1,2) + 0 = 0 + (½)v2                       Δy = viΔt + ½aΔt2
         vi = 4,85 m·s-1 upwards /opwaarts                 1,2 = (-4,85)Δt + ½(9,8)Δt2 
         OPTION 3/OPSIE 3                                  Δt = 0,4898 s / 0,5 s
         Wnc = ΔEp + ΔEk                                   t = 1,97 + 2(0,4898) 
                                            Any one/        = 2,95 s / 2,97 s 
         0 = (0 – mgh) + ½m( v 2f  v i2 ) Enige een
                                                           OR/OF
         0 = -(9,8)(1,2) + ½vi2                           Δy = viΔt + ½aΔt2 
         vi = 4,85 m·s-1 upwards /opwaarts                 0 = (4,85)Δt + ½(9,8)Δt 2 
         OPTION 4/OPSIE 4                                  Δt = 0,9898 s (or Δt = 0)
         Wnet = ΔEk                        Any one/       t = 1,97 + 0,9898  = 2,96 s 
         wΔxcos180° = ½m( v 2f  v i2 ) Enige een          OR/OF
         (9,8)(1,2)cos180° = ½vi2                         vf = vi + aΔt 
         vi = - 4,85 m·s-1                                 -4,85 = 4,85 + (-9,8)Δt 
                                                           Δt = 0,9898 s
                                                           Δt = 1,97 + 0,9898 = 2,96 s
                                                           OR/OF
                                                           Upwards positive
                                                           Opwaarts positief
                                                           vf = vi + aΔt 
                                                           0 = 4,85 + (-9,8)Δt 
                                                           Δt = 0,4949 s
                                                           Δt = 1,97 + (2)(0,4949) 
                                                               = 2,96 s 
                                                           OR/OF
                                                                    v  vf 
                                                           Δy =  i          Δt 
                                                                    2 
                                                                    0  4,85 
                                                           1,2 =              ΔtΔt = 0,4948s
                                                                        2    
                                                           Δttotal = 2(0,4948) = 0,99 s
                                                           Δt = 1,97 + 0,99 = 2,96 s 
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Physical Sciences/P1/Fisiese Wetenskappe/V1     7                                          DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

         OPTION 5/OPSIE 5                                    OPTION 5: Marking criteria/
         Downwards positive/Afwaarts positief                OPSIE 5: Nasienriglyne
         Δy = viΔt + ½ aΔt2                                    Formula /Formule
         1,2 = 0 + ½(9,8) Δt2                                 Substitution/Vervanging
         Δt = 0,49 s                                             Δy = 1,2 
         t = 1,97 +  2(0,49)                                  Substitution/Vervanging
                                                                 0 + ½(9,8) Δt2
           = 2,96 s 
                                                                1,97 s + 
         Upwards positive/Opwaarts positief
                                                                2 Δt 
         Δy = viΔt + ½ aΔt2 
         -1,2 = 0 + ½(-9,8)Δt2                              Final answer/Finale
                                                                 antwoord: 2,95 - 2,97 s 
         Δt = 0,49 s
         t = 1,97 +  2(0,49) 
           = 2,96 s                                                                                    (6)
                                                                                                       [15]

QUESTION 4/VRAAG 4

4.1       (Linear) momentum (of an object) is the product of mass and velocity. 
          (Liniêre) momentum (van 'n voorwerp) is die produk van massa en snelheid.
          (2 or/of 0)                                                                                  (2)

4.2.1     OPTION 1/OPSIE 1
          East as positive/Oos as positief
                    ∑pi = ∑pf            Any one/Enige een
          mpvpi + mQvQi = mpvpf + mQvQf

          (0,16)(10) + (0,2)(-15) = (0,16)(-5) +(0,2)vQf 
          vQf = -3 m∙s-1
          vQf = 3 m∙s-1  west/wes 
          OPTION 2/OPSIE 2
          West as positive/Wes as positief
                     ∑pi = ∑pf               Any one/Enige een
          mpvpi + mQvQi = mpvpf + mQvQf

          (0,16)(-10) + (0,2)(15) = (0,16)(5) +(0,2)QNf 
          vQf = 3 m∙s-1  west/wes 
          OPTION 3/OPSIE 3
          Δpp = -ΔpQ 
          (0,16)(-5 – 10) = -(0,2)(v – (-15))
          v = -3 m·s-1
             = 3 m·s-1 west/wes                                                                    (5)

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Physical Sciences/P1/Fisiese Wetenskappe/V1     8                                          DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

4.2.2     For ball/Vir bal P:                       POSITIVE MARKING FROM
          West as negative/Wes as negatief          QUESTION 4.2.1 /POSITIEWE
          Impulse = Δp                              NASIEN VANAF VRAAG 4.2.1
          FnetΔt = Δp           Any one/           For ball/Vir bal Q:
          Δp = m(vPf – vPi)       Enige een         West as negative/Wes as negatief
             = 0,16(-5 – 10)                       Impulse = Δp
             = - 2,4                                FnetΔt = Δp               Any one/
            2,4 N∙s  (2,4 kg∙m∙s-1)                      = m(vQf – vQi)      Enige een
                                                           = 0,2[-3 – (-15)] 
          OR/OF                                            = 2,4 N∙s  (2,4 kg∙m∙s-1)
          West as positive /Wes as positief
          Impulse = Δp                              OR/OF
          FnetΔt = Δp               Any one/       West as positive /Wes as positief
                 = m(vPf – vPi)      Enige een      Impulse = Δp
                 = 0,16(5 – (-10))                 FnetΔt = Δp               Any one/
                 = 2,4 N·s                                = m(vQf – vQi)      Enige een
                                                           = 0,16(3 – (15)) 
                                                           = - 2,4 N·s
                                                     2,4 N∙s  (2,4 kg∙m∙s-1)                          (3)
                                                                                                       [10]

QUESTION 5/VRAAG 5

5.1       Marking criteria/Nasienriglyne
          If any of the underlined key words/phrases in the correct context are omitted:
          - 1 mark per word/phrase. However, IF: The word “work” is omitted 0 marks
          Indien enige van die sleutelwoorde/frases in die korrekte konteks weggelaat word:
          - 1 punt per woord/frase. Maar, INDIEN: Die woord “arbeid” uitgelaat is, 0 punte

          A force is non-conservative if the work it does on an object (which is moving
          between two points) depends on the path taken. 
          'n Krag is nie-konserwatief indien die arbeid wat dit verrig (op 'n voorwerp wat
          tussen twee punte beweeg) afhanklik is van die pad.

          OR/OF
          A force is non-conservative if the work it does on an object depends on the
          path taken. 
          'n Krag is nie-konserwatief indien die arbeid wat dit verrig afhanklik is van die
          pad.

          OR/OF
          A force is non-conservative if the work it does in moving an object around a
          closed path is non-zero. 
          'n Krag is nie-konserwatief indien die arbeid wat dit verrig om 'n voorwerp op
          'n geslote pad te beweeg, nie-nul is nie.                                                    (2)

5.2       K = ½ mv2 /Ek = ½ mv2
          ΔK = Kf - Ki
                                        Any one /Enige een
          K = ½mvf2 - ½mvi2
              = ½m(vf2- vi2)
              =½(200)(22 - 42)
          K = - 1 200 J                                                                              (3)

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Physical Sciences/P1/Fisiese Wetenskappe/V1     9                                          DBE/2020
                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

5.3       POSITIVE MARKING FROM QUESTION 5.2.
          POSITIEWE NASIEN VANAF VRAAG 5.2.
          Marking criteria/Nasienriglyne
             Appropriate formula/Geskikte formule 
             Substitution into appropriate formula together with/Vervanging in geskikte
              formule saam met -3,40 × 103 
             Final answer/Finale antwoord: 8,88 m 
          OPTION 1/OPSIE 1
          Wnc = K + U
          Wnc = ½ mvf2 - ½ mvi2 + mghf - mghi Any one/Enige een
               = ½ m (vf2- vi2) + mg(hf - hi)
          -3,40 × 103  = -1 200 + 200(9,8)(hf - 10) 
          h = 8,88 m  (8,87765 m)
          OPTION 2/OPSIE 2
          E(mech/meg)A + W f = E(mech)B
          (Ep +Ek)A + W f = (Ep +Ek) B              Any one/Enige een
                        2                     2
          (mgh + ½mv ) A + W f = (mgh + ½mv ) B
          200(9,8)(10) + ½(200)(42) - 3,40 × 103  = 200(9,8)(h) + ½(200)(2)2 
          h = 8,88 m        (8,87755)

          OPTION 3/OPSIE 3
          Wnet = K
          Wf + W w = ½mvf2 - ½mvi2         Any one/Enige een
          Wf – ΔEp = ½mvf2 - ½mvi2
          Wf - mg(hf - hi) = ½m(vf2- vi2)
          -3,40 × 103 - 200(9,8)(h-10) = -1 200 
          h = 8,88 m        (8,87755 m)                                                               (4)

5.4       OPTION 1 AND 2/OPSIE 1 EN 2: Marking criteria /Nasienriglyne
            Appropriate formula/Geskikte formule 
            Work done by friction/Arbeid verrig deur wrywing
            Substitution of/Vervanging van (200)(9,8)(13,12) 
            Appropriate formula/Geskikte formule
            Substitution into power formula/Vervanging in drywingformule
           Final answer /Finale antwoord: 1 814,35 W
          OPTION 1/OPSIE 1
          Wnc = K + U
          Wengine + Wf = ½mvf2 - ½ mvi2 + mghf - mghi   Any one/Enige een
                               2    2
                        = ½m(vf - vi ) + mg(hf - hi)
          Wengine + (50)(15)(2)cos180°  = 0 + 200(9,8)(22 – 8,88)
          Wengine = 27 215,20 J
                    Wengine
          Pengine =
                      t
                    27 215,20
                 =
                       15
                 = 1 814,35 W

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          OPTION 2/OPSIE 2
          Wnet = K
          WN + W engine + W w + Wf = 0     Any one/Enige een
          WN + W engine - ΔEp + Wf = 0
          0 + W engine - (200)(9,8)(13,12) + (50)(2)(15)cos180°  = 0
          Wengine = 27 215,20 J

          OR/OF
          Wnet = K 
          WN + W engine + W w|| + Wf = 0
          WN + W engine +mgsinθΔxcos180o + Wf = 0
                                      13,12 
          0 + W engine - (200)(9,8)         Δx(-1) + (50)(2)(15)cos180°  = 0
                                      x 
          Wengine = 27 215,20 J
                     Wengine
          Pengine =
                        t
                     25 215,20
                  =
                          15
                   = 1 814,35 W

          OPTION/OPSIE 3: Marking criteria/Nasienriglyne Opsie 3
            Appropriate formula/Geskikte formule 
            Substitution of/Vervanging van - 50 
            Substitution of/Vervanging van (-200)(9,8)(0,4373) or/of (-200)(9,8)(0,44)
            Appropriate formula/Geskikte formule
            Substitution into/Vervanging in Pave = Fvave
           Final answer/Finale antwoord: 1 814,35 W - 1 824,8 W

          OPTION 3/OPSIE 3
          Fnet = ma                      Any one/Enige een
          Fengine + Ffriction + Fg// = 0
          Fengine + (-50)  + (-200)(9,8)(0,4373) = 0
          Fengine = 906,52 N (906,52 – 912,4)

          Pave = Fvave                                                          h
                                                                        sinθ =
          Pave = (908,52)(2)                                                   x
               = 1 813,04 W (1 824,8 W)                                          13,12
                                                                             =
                                                                                 2(15)
          OR/OF
          W = FengineΔxcosθ                                                  = 0,4373
           = (906,52)(30)cos0o
            = 27 195,6 J (27 372 W)

               W    27195,6
          P=      =         = 1 813,04 W (1 824,8 W)
               t     15                                                                                (5)
                                                                                                       [14]

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 6/VRAAG 6

6.1       Marking criteria/Nasienriglyne
          If any of the underlined key words/phrases in the correct context are omitted:
          - 1 mark per word/phrase.
          Indien enige van die sleutelwoorde/frases in die korrekte konteks weggelaat word:
          - 1 punt per woord/frase

          The change in frequency (or pitch) (of the sound) detected by a listener
          because the source and the listener have different velocities relative to the
          medium of propagation. 
          Die verandering in die frekwensie (of toonhoogte) (van die klank)
          waargeneem deur 'n luisteraar omdat die bron en die luisteraar verskillende
          snelhede relatief tot die voortplantingsmedium het.

          OR/OF
          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       Towards/Nader                                                                                  (1)

6.3              v  vL               v                            v
          fL           fs    fL         fs             fL           fs
                 v  v s OR/OF      v  vs        OR/OF          v  vs

                                                                    
               340  0                                    340  0
          3148             fs                   2073               fs
                 340  v s                                 340  v s

          3148(340  v s ) 2073(340  v s )
                          =
             340  0           340  0
                       vs = 70 m·s-1 (69,95 - 70,16 m·s-1)                                               (6)

6.4       POSITIVE MARKING FROM QUESTION 6.3
          POSITIEWE NASIEN VANAF VRAAG 6.3
          OPTION 1/OPSIE 1   OPTION 2/OPSIE 2                          OPTION 3/OPSIE 3
               x            Δx = viΔt + ½ aΔt2                              v  vf 
          t                350 = 70Δt + 0                           Δx   i       Δt
                v                                                            2 
               350          Δt = 5 s 
          t                                                                  70  70 
               70                                                      350             Δt 
          t = 5 s                                                            2 
                                                                       Δt = 5 s                           (2)
                                                                                                          [11]

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 7/VRAAG 7

7.1             Q
          n=       
                e
                 ( ) 4  10 -6
            =                     
              ( ) 1,6  10 -19
            = 2,5 x 1013                                                                              (3)

7.2       Electrostatic force on B due to A:/Elektrostatiese krag op B a.g.v. A:
                 kQ1Q 2
          FAB =            
                     r2
                  9  10 9 (4  10 -6 )(3  10 -6 )    Ignore negative signs
              =                                       Ignoreer negatiewe tekens
                              0,2 2                    doeleindes
              = 2,7 N                                                                                 (3)

7.3       Marking criteria/Nasienriglyne
          If any of the underlined key words/phrases in the correct context are omitted:
          - 1 mark per word/phrase.
          Indien enige van die sleutelwoorde/frases in die korrekte konteks weggelaat word:
          - 1 punt per woord/frase

          Electric field is a region (in space) where (in which) an (electric) charge
          experiences a (electric) force. 
          Elektriese veld is 'n gebied (in die ruimte) waarin 'n (elektriese) lading 'n
          (elektriese) krag ondervind.                                                                 (2)

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

7.4       Marking criteria/Nasienriglyne
             Appropriate formula/Geskikte formule 
             Correct substitution for A and B/Korrekte vervanging van A en B 
             Subtraction of electric fields/Aftrek van elektriesevelde
           Final answer/Finale antwoord: 2,3 x106 N∙C-1
          OPTION 1/OPSIE 1
          Electric field at M due to / Elektriese veld by M as gevolg van: -4 x10-6 C
                    Q
          EAM = k 2 
                   r
                          (4 x 10 -6 )
              = 9 10 9                
                            (0,3) 2
              = 4,0 x 105 N∙C-1 (to left /links)

          Electric field at M due to / Elektriese veld by M as gevolg van: +3 x10-6 C,
                    Q
          EBM = k 2
                   r
                         (3 x10 -6 )
              = 9 x10 9              
                           (0,1) 2
               = 2,7 x106 N∙C-1 (to right /regs)

          Net electric field at M /Netto elektrieseveld by M
          Enet = EBM + EAM
               = 4,0 x105 – 2,7 x106 
               = 2,3 x106 N∙C-1 (right/regs)

          OR/OF
          Net electric field at M /Netto elektrieseveld by M
          Enet = EBM + EAM
               = -4,0 x105 + 2,7 x106 
               = - 2,3 x106 N∙C-1
               = 2,3 x106 N∙C-1  (right)
          OPTION 2/OPSIE 2
                 kQ1Q 2      (9  109 )(4  10 6 )Q
          FAM =       2
                          =                2
                                                      = 4 x 105Q N
                    r               (0,3)
                 kQ1Q 2      (9  10 )(3  10 6 )Q
                                    9
          FBM =       2
                          =                2
                                                      = 2,7 x 106Q N
                    r                (0,1)
          Fnet = 2,7 x 10 Q + (-4 x 105Q) = 2,3 x 106Q
                          6

               F    2,3  10 6 Q
          E=     =              = 2,3 x 106 N·C-1 (right/regs)
               q         Q
                                                                                                       (5)

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

7.5       Positive/Positief                                                                               (1)

7.6       POSITIVE MARKING FROM 7.2/POSITIEWE NASIEN VANAF 7.2
          Marking criteria/Nasienriglyne
              Correct substitution into Pythagoras’s equation/Korrekte vervanging in
                Pythagoras se vergelyking 
              Correct substitution into Coulomb’s Law/Korrekte vervanging in Coulomb se
                wet 
              Correct answer/Korrekte antwoord 
          (Fnet)2 = (FAD)2 + (FAB)2
          (7,69)2 = (FAD)2 + (2,7)2 
          FAD = 7,2 N

                kQ1Q 2
          FAD =
                  r2
                (9  109 )( 4 x 10-6 )Q
          7,2 =                            
                       (0,15)2

          QD = 4,5 x 10-6 C 

          OR/OF
                    Q1Q 2
          FAD = k
                     r2
                        ( 4 x 10 -6 )Q
              = 9 x 10 9               
                            0,15 2
              = 1,6 x 106 Q
          Fnet = FAB  FAD                           FAB  FAD
                     2       2                  2        2       2
                                   OR/OF Fnet =
           7,69 = 2,7 2  (1,6x10 6 Q) 2 
             Q = 4,50 x10-6 C                                                                              (3)
                                                                                                           [17]

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 8/VRAAG 8

8.1       Marking criteria/Nasienriglyne
          If any of the underlined key words/phrases in the correct context are omitted:
          - 1 mark per word/phrase.
          Indien enige van die sleutelwoorde/frases in die korrekte konteks weggelaat word:
          - 1 punt per woord/frase

          (Maximum) energy provided (work done) by a battery per coulomb/unit charge
          passing through it. 
          (Maksimum) energie verskaf (arbeid verrig) deur 'n battery per coulomb/
          eenheidslading wat daardeur beweeg.
          Work done by the battery to move a unit coulomb of charge across the
          circuit./Arbeid verrig deur die battery om 'n eenheidslading oor die
          stroombaan te beweeg.                                                                        (2)

8.2       Energy (per coulomb of charge) is converted to heat in the battery due to the
          internal resistance. 
          Energie (per coulomb lading) word na hitte omskep binne-in die battery a.g.v.
          interne weerstand.                                                                           (2)

8.3.1       V
         I   
            R
            1,5
         I     
            0,5
          =3A                                                                                         (3)

8.3.2    OPTION 1/OPSIE 1                            OPTION 2/OPSIE 2
          1    1   1                                        R R
            =    +                                  Rp  1 2        
         RP   R1 R 2                                       R1  R 2
          1    1   1                                       (25)(15)
                                                  Rp            
         RP   25 15                                         25  15
         Rp = 9,375                                 Rp = 9,375 
         Rext = 9,375 + 4  = 13,38                Rext = 9,375 + 4 = 13,38  
                               (13,375 )                                 (13,375 )                   (4)

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8.3.3    POSITIVE MARKING FROM QUESTIONS 8.3.1 AND 8.3.2.
         POSITIEWE NASIEN VANAF VRAAG 8.3.1 EN 8.3.2.
         OPTION 1/OPSIE 1
         Ɛ = I(R + r) 
           = 3(13,38 + 0,5) 
           = 41,64 V  (Range/Gebied: 41,625 – 41,64)
         OPTION 2/OPSIE 2
         Ɛ = Vext/eks + Vint 
           = (3)(13,38) + 1,5 
           = 41,64 V  (Range/Gebied: 41,625 – 41,64)                                                  (3)

8.4      Yes. /Ja

         For the same voltage/potential difference, 
                                                                       V
         a larger current will flow through a smaller resistor ( I      )
                                                                       R
         Vir dieselfde spanning/ potensiaalverskil
                                                                        V
         sal 'n groter stroom deur die kleiner weerstand vloei ( I       ).
                                                                        R

         OR/OF
              1
         Iα      , V = constant /konstant
             R
         I is inversely proportional to R and V is constant.
         I is omgekeerd eweredig aan R en V is konstant.

         OR/OF
         V|| = IR
            = (3)(9,38)
            = 28,14 V

               V 28,14
         IR2 =   =     = 1,13 A 
               R   25
               V 28,14
         IR3 =   =     = 1,88 A 
               R   15

         OR/OF
         V is the same / V is dieselfde 
                25
         I15Ω =    I
                40
                15     
         I25Ω =    I
                40                                                                                     (3)

8.5      Remains the same/Bly dieselfde                                                                (1)
                                                                                                       [18]

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 9/VRAAG 9

9.1.1     (DC) motor/(GS-)motor                                                                       (1)

9.1.2     POSITIVE MARKING FROM QUESTION 9.1.1
          POSITIEWE NASIEN VANAF VRAAG 9.1.1
          Electrical to mechanical /kinetic (energy)  (2 or 0)
          Elektriese na meganiese/kinetiese (energie) (2 of 0)                                         (2)

9.1.3     Split ring/commutator/Splitring/kommutator                                                  (1)

9.1.4     Anticlockwise/antikloksgewys                                                               (2)

9.2.1     (The rms voltage/value of AC is) the AC voltage/potential difference which
          dissipates the same amount of energy/heat/power as an equivalent DC
          voltage/potential difference.  (2 or 0)
          (Die wgk-waarde van WS is) die WS-potensiaalverskil/spanning wat dieselfde
          hoeveelheid energie/hitte/drywing verbruik as 'n ekwivalente GS-spanning/
          potensiaalverskil. (2 of 0)

          ACCEPT/AANVAAR
          The rms voltage/value of AC is the DC potential difference which dissipates
          the same amount of energy/heat/power as AC.
          Die wgk-waarde van WS is die GS-potensiaalverskil wat dieselfde
          hoeveelheid energie/hitte/drywing verbruik as die WS.                                        (2)

9.2.2     Marking criteria/Nasienriglyne
           Appropriate formula for Pave/Geskikte formule vir Pave 
           Substitution to calculate/Vervanging vir berekening van R 
           Final answer/Finale antwoord: 242 Ω 
          OPTION 1/OPSIE 1              OPTION 2/OPSIE 2             OPTION 3/OPSIE 3
                V2                       Pave  VrmsIrms             Pave  VrmsIrms 
          Pave  rms 
                 R                       200 = Irms (220)             200 = Irms (220)
                2202                     Irms = 0,909 A (0,91)        Irms = 0,909 A(0,91)
          200 =                              V              V
                 R                      R  rms or/of R             Pave = Irms2R
          R = 242 Ω                          Irms           I
                                                                     200 = (0,909)2R 
                                               220
                                        R                          R = 242 Ω 
                                              0,909                      (241,52 Ω)
                                        R = 242 Ω  (241,76 Ω)                                         (3)

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

9.2.3     Marking criteria for options 1,2 and 3 /Nasienriglyne vir opsies 1,2 en 3
           Appropriate formula to calculate P or Irms /Geskikte formule om P of Irms te
             bereken 
           Substitution/Vervanging 
           Formula for P or W containing t/Formule vir P of W wat t bevat 
           Substitution/Vervanging 
           Final answer/Finale antwoord: 55 785,12 J 
          POSITIVE MARKING FROM QUESTION 9.2.2.
          POSITIEWE NASIEN VANAF VRAAG 9.2.2.
          OPTION 1/OPSIE 1
          Marking criteria / Nasienriglyne
           Appropriate formula for W containing V/Geskikte formule vir W wat V
              bevat 
           Substitution/Vervanging 
           Final answer/Finale antwoord: 55 785,12 J 
                  V 2 t
           W             
                    R
                  (1502 ) (10 x 60) 
               
                          242 
              = 55 785,12 J 
          OPTION 2/OPSIE 2             OPTION 3/OPSIE 3          OPTION 4/OPSIE 4
                     2
                   Vrms                      V               V        V             V
          Pave =                      R  rms / R             R  rms / R 
                    R                        Irms            I        Irms          I
                       2
                 150                            150                      150
              =                       242                     242          
                  242                            Irms                     Irms
          Pav = 92,975 W               Irms = 0,620 A            Irms = 0,620 A
                 W
          P                          Pave  Irms Vrms
                 Δt                                              W = I2R  t 
                                          = (0,62)(150)
                            W                                       = (0,62)2(242)(10)(60) 
          92,975                        = 92,97 W (93 W)
                         (10)(60)             W                     = 55 814,88 J 
          W = 55 785,12 J             P                       (55785,12 – 55896 J)
                                             Δt
           (55785,12 – 55896 J)
                                                         W
                                       92,975                  OR/OF
                                                      (10)(60)   W = VIΔt
                                       W = 55 785,12 J              = (150)(0,62)(600)
                                       (55785,12 – 55896 J)          = 55 800 J
          OPTION 5/OPSIE 5
                     2
                   Vrms       1502
          Pave =          =        = 92,975 W
                    R          242
          Pave= Irms2R
          92,975 = Irms2(242)
          Irms = 0,6198 A
          W = I2RΔt 
              = (0,6198)2(242)(10)(60) 
              = 55 778,88 J                                                                            (5)
                                                                                                       [16]

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                          SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION 10/VRAAG 10

10.1      Photoelectric effect/Fotoëlektriese effek                                               (1)

10.2      Work function (of potassium)/Werksfunksie/Arbeidsfunksie (van kalium)                   (1)

10.3      Potassium/Kalium 
          It has the lowest work function / threshold frequency / highest threshold
          wavelength. 
          Dit het die laagste arbeidsfunksie / drumpelfrekwensie / hoogste drumpel
          golflengte.                                                                              (2)

10.4      Marking criteria/Nasienriglyne
          If any of the underlined key words/phrases in the correct context are omitted:
          - 1 mark per word/phrase.
          Indien enige van die sleutelwoorde/frases in die korrekte konteks weggelaat word: -
          1 punt per woord/frase

          The work function of a metal is the minimum energy that an electron (in the
          metal) needs to be emitted/ejected from the metal / surface. 
          Die werkfunksie/arbeidsfunskie van 'n metaal is die minimum energie benodig
          om 'n elektron vanaf ‘n oppervlak / metaal vry te stel.                                  (2)

10.5.1    Wo= hfo 
            = (6,63 x 10-34)(1,75 x 1015) 
            = 1,160 x 10-18 J 

          OR/OF
          E = W o + Ek(max)     Any one / Enigeen
          hf = W o + Ek(max)
          (6,63 x 10-34)(1,75 x 1015) = W o + 0 
          Wo = 1,160 x 10-18 J                                                                    (3)

10.5.2    POSITIVE MARKING FROM QUESTION 10.5.1.
          POSITIEWE NASIEN VANAF VRAAG 10.5.1.
          E  W0  Ek (max)
                       1         Any one/Enige een
          hf  hfo        2
                         mvmax
                       2
                                              1
          (6,63 x 10-34)f  = 1,160 x 10-18 +   (9,11 x 10-31) (5,60 x 105)2
                                              2
                         f = 1,97 x 1015 Hz                                                       (4)
                                                                                                   [13]

                                                                             TOTAL/TOTAAL:         150

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