# Physical Sciences Grade 12 Paper 1 NSC November 2023 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the NSC November Exam 2023, 29 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/physical-sciences-p1-nov-2023-mg-afr-eng/ade6278f-f920-41f1-a9d7-1a7365e136e9
- Updated: 2026-10-29
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2023
- Exam period: NSC November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 29

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## About this document

Physical Sciences · Grade 12 · NSC November Exam · 2023. Memorandum. Read online or download the PDF.

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### Page 1

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                                     NATIONAL
                                SENIOR CERTIFICATE
                                    NASIONALE
                                SENIOR SERTIFIKAAT

                                   GRADE/GRAAD 12

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

                                        NOVEMBER 2023

                     MARKING GUIDELINES/NASIENRIGLYNE

MARKS/PUNTE: 150

                      These marking guidelines consist of 28 pages.
                       Hierdie nasienriglyne bestaan uit 28 bladsye.

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Physical Sciences P1/Fisiese Wetenskappe V1     2                                    DBE/November 2023
                         NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 1/VRAAG 1

1.1       B                                                                                               (2)

1.2       A                                                                                               (2)

1.3       D                                                                                               (2)

1.4       B                                                                                               (2)

1.5       B                                                                                               (2)

1.6       A                                                                                               (2)

1.7       D                                                                                               (2)

1.8       B                                                                                               (2)

1.9       C                                                                                               (2)

1.10      A                                                                                               (2)
                                                                                                            [20]

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Physical Sciences P1/Fisiese Wetenskappe V1     3                                  DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 2/VRAAG 2
2.1        Marking criteria/Nasienkriteria
           If any of the underlined key words/phrases in the correct context is omitted deduct
           1 mark/ Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
           konteks uitgelaat is, trek 1 punt af.
           When a resultant/net force acts on an object, the object will accelerate in the
           direction of the force. The acceleration is directly proportional to the
           resultant/net force and inversely proportional to the mass of the object. 
           Wanneer 'n resulterende/netto krag op 'n voorwerp inwerk, sal die voorwerp
           in die rigting van die krag versnel. Die versnelling is direk eweredig aan die
           netto/resulterende krag en omgekeerd eweredig aan die massa van die
           voorwerp.
           OR/OF
           The 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. (2 or 0)
           Die resulterende/netto krag wat op 'n voorwerp inwerk is gelyk aan die tempo
           van verandering van momentum in die rigting van die resulterende/netto
           krag. (2 of 0)                                                                                 (2)
2.2

                                     N
                                                    T

                                      f
                                             w

                      Accepted labels/Aanvaarde benoemings
              N       FN/Normal/Fnormal/Fnormaal/Normaal
              f       (kinetic) friction/5,88 N /Ff/fk/(kinetiese) wrywing /Fw
              w       Fg/Fw/weight/mg/39,2 N/gravitational force
                      Fg/Fw/gewig/mg/39,2 N/gravitasiekrag
              T       FT/Fstring/tension/spanning/Ftou
          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.
           If w is not shown but wǁ and w┴ are shown, give 1 mark for both./
             Indien w nie getoon is nie maar wǁ en w┴ is getoon, ken 1 punt toe vir beide.
           If arrows do not touch the dot/Indien pyle nie die kolletjie raak nie: Max/Maks 3
                                                                                                 4
                 Any other additional force(s)/Enige ander addisionele krag(te): Max/Maks 3
                                                                                        4
                 If everything correct, but no arrows/Indien alles korrek, maar geen pyltjies:
                  Max/Maks 3
                               4                                                                          (4)

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Physical Sciences P1/Fisiese Wetenskappe V1     4                                DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

2.3.1     For block A/Vir blok A:
          UP THE INCLINE AS POSITIVE/
          TEEN DIE SKUINSTE OP AS POSITIEF
                                  Fnet = ma
                           T – fk – wǁ = ma    Any one /Enige een
                    T – fk – mgsinθ = ma
          T – 5,88 – 4(9,8)sin35° = 4(2) 
                                    T = 36,36 N 

          DOWN THE INCLINE AS POSITIVE/
          TEEN DIE SKUINSTE AF AS POSITIEF
                                 Fnet = ma
                        – T + fk + wǁ = ma Any one /Enige een
                   – T + fk + mgsinθ = ma
          – T + 5,88 + 4(9,8)sin35° = 4(–2) 
                                    T = 36,36 N                                                        (4)

2.3.2     POSITIVE MARKING FROM QUESTION 2.3.1
          POSITIEWE NASIEN VANAF VRAAG 2.3.1
          NOTE: If systems approach is used, learner gets mark for the answer only.
          NOTA: Indien sisteem benadering gebruik word, kry leerder slegs ‘n punt vir
          die antwoord.
          For block B/Vir blok B:
          UP THE INCLINE AS POSITIVE/
          TEEN DIE SKUINSTE OP AS POSITIEF
                                         Fnet = ma
                              F –T – fk – wǁ = ma
                        F – T – fk – mgsinθ = ma
          F – 36,36 – 13,23 – 9(9,8)sin35° = (9)(2) 
                                           F = 118,18 N 

          DOWN THE INCLINE AS POSITIVE/
          TEEN DIE SKUINSTE AF AS POSITIEF
                                          Fnet = ma
                             – F +T + fk + wǁ = ma
                       – F + T + fk + mgsinθ = ma
          –F + 36,36 + 13,23 + 9(9,8)sin35° = (9)( –2) 
                                            F = 118,18 N                                               (3)

2.4.1     INCREASES/TOENEEM                                                                            (1)
2.4.2      Since    and m are constant, as decreases, normal force/w⟘/mgcos will
            increase. 
            Aangesien    en m konstant is, soos afneem sal
            normaalkrag/w⟘/mgcos toeneem.
            OR/OF
            N = mgcos
           Frictional force is directly proportional to normal force/ 
            Wrywing is direk eweredig aan normaalkrag
            OR/OF f N /f w⟘ / f N / f = N                                                               (2)
                                                                                                        [16]
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    Physical Sciences P1/Fisiese Wetenskappe V1     5                                DBE/November 2023
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

    QUESTION 3/VRAAG 3

    3.1        Motion under the influence of gravitational force only.  Accept
               weight/gravity.
               Beweging slegs onder die invloed van gravitasiekrag. Aanvaar
               swaartekrag/gewig/gravitasie.
               (2 or/of 0)
               OR/OF
               Motion in which the only force acting is gravitational force. Accept
               weight/gravity.
               Beweging waar die enigste krag wat inwerk, gravitasiekrag is. Aanvaar
               swaartekrag/gewig/gravitasie.(2 or/of 0)                                                     (2)
               NOTE: If projectile is defined: ⁄
               NOTA: Indien projektiel gedefinieer is: ⁄

    3.2        Marking criteria/Nasienkriteria
                Correct formula for vi./Korrekte formule vir vi.
                Correct substitution into formula./Korrekte vervanging in formule. 
                Correct final answer/Korrekte finale antwoord: 10,74 m·s-1 
               Note: If energy principles are used, max: 1/3 for answer.
      B        Nota: Indien energiebeginsels gebruik word, maks: 1/3 vir antwoord.
              OPTION 1/OPSIE 1
              A-B:
              UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
A           C v v          y                              v v          y
                2                                           2
              0 = v + 2( 9,8)(5,89)                      0 = v + 2(9,8)( 5,89) 
               vi = 10,74 m·s-1                           vi = 10,74 m·s-1 
              OPTION 2/OPSIE 2
              B-C:
              UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
            G v v          y                             v v          y
              v = 0 + 2( 9,8)( 5,89)                     v = 0 + 2(9,8)(5,89) 
               vi = 10,74 m·s-1                           vi = 10,74 m·s-1                                (3)

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    Physical Sciences P1/Fisiese Wetenskappe V1     6                                DBE/November 2023
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

    3.3.1       POSITIVE MARKING FROM QUESTION 3.2.
                POSITIEWE NASIEN VANAF VRAAG 3.2
                Marking criteria/Nasienkriteria
                 Any one of the correct formulae leading to the velocity at which the ball strikes
                  the ground./Enige een van die korrekte formules wat lei tot die snelheid waarmee
                  die bal die grond tref. 
                 Correct substitution leading to the velocity at which the ball strikes the ground
                  (values of vi and vf can be swopped)./Korrekte vervanging wat lei tot die snelheid
                  waarmee die bal die grond tref (waardes van vi en vf kan omgeruil word). 
                 Correct formula or ∆Ek/Ek/Ek lost./Korrekte formule vir ∆Ek/Ek/Ek verlore. 
                 Correct substitution into ∆Ek/Ek lost formula (values of vi and vf can be swopped,
                  ignore negative vi or vf values)./
                  Korrekte vervanging in ∆Ek/Ek verlore formule (waardes van vi en vf kan omgeruil
                  word, ignoreer negatiewe vi of vf waardes). 
                 Correct final answer/Korrekte finale antwoord: +/- 68,31 J 
                  Range/Gebied: (67,91 – 69,34J)

                Note: Accept if downwards is taken as positive.
                Nota: Aanvaar indien afwaarts as positief geneem is.
                OPTION 1/OPSIE 1
                A-G:
                v v              y 
                               2
                v = (10,74) + 2(–9,8)(–15,3) 
                 vf = – 0,38 m∙s-1
                OPTION 2/OPSIE 2
                B-G:
                                                           DURING COLLISION/
                v v              y 
                        2                                  TYDENS BOTSING
                v = 0 + 2(–9,8)( –21,19)                   ∆Ek = Ekf – Eki
    B            vf = – 0,38 m∙s-1
                OPTION 3/OPSIE 3                            ∆Ek = ½mv – ½mv           Any one/
                                                                                       Enige een
                C-G:                                        ∆Ek = ½m v – v )
                v v              y                         ∆Ek = ½(0,5)[(11,92)2 – (20,38)2] 
                                 2
                v = (–10,74) + 2(–9,8)(–15,3)              ∆Ek/Ek lost = – 68,31 J 
A           C
                 vf = – 0,38 m∙s-1
                OPTION 4/OPSIE 4                           OR/OF
                A-G:
                      y v t           t
                                                             ∆Ek = ½(0,5)[(20,38)2 – (11,92)2] 
                – ,3        0,      t   – ,8 t
                                                            ∆Ek/Ek lost = 68,31 J 
                      t = 3,18 s
            G
                            v        v
                  ∆y    (                )∆t 
                                0,        v
                –15,3 = (                     )3,18 
                    vf = – 0,38 m∙s-1

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    Physical Sciences P1/Fisiese Wetenskappe V1     7                                       DBE/November 2023
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

               OPTION 5/OPSIE 5
               B-G:
                    y v t       t
               – ,        0 t   – ,8                  t
                     t = 2,08 s

                                v       v
                   ∆y       (               )∆t 
                                0       v
               –21,19 = (                   )2,08 
                     vf = – 0,38 m∙s-1
               OPTION 6/OPSIE 6
               C-G:
                  y v t           t
               – ,3 – 0,         t     – ,8                    t
                    t = 0,98 s
                            v       v                              DURING COLLISION/
                 ∆y     (               )∆t                       TYDENS BOTSING
     B                                                              ∆Ek = Ekf – Eki
                            –   0,          v                                                 Any one/
               –15,3 = (                        )0,98              ∆Ek = ½mv – ½mv            Enige een
                                                                    ∆Ek = ½m v – v )
               vf = – 20,48 m∙s-1
            OPTION 7/OPSIE 7                                       ∆Ek = ½(0,5)[(11,92)2 – (20,38)2] 
A         C A-G:                                                    ∆Ek/Ek lost = – 68,31 J 
                 y v t        t
            – ,3       0,   t     – ,8                     t       OR/OF
                 t = 3,18 s
                                                                    ∆Ek = ½(0,5)[(20,38)2 – (11,92)2] 
            vf = vi + a t 
                                                                   ∆Ek/Ek lost = 68,31 J 
            vf = 10,74 + (–9,8)(3,18) 
          G v = –20,42 m∙s-1
             f
            OPTION 8/OPSIE 8
            B-G:
                    y v t        t
            – ,          0 t    – ,8 t
                    t = 2,08 s
               vf = vi       t
               vf = 0 + (–9,8)(2,08) 
               vf = – 0,38 m∙s-1
               OPTION 9/OPSIE 9
               C-G:
                     y v t          t
               – ,3 – 0,           t                – ,8       t
                       t = 0,98 s
               vf = vi    t
               vf = – 0, + (–9,8)(0,98) 
               vf = –20,34 m∙s-1
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Physical Sciences P1/Fisiese Wetenskappe V1     8                                DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

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Physical Sciences P1/Fisiese Wetenskappe V1     9                                  DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

OPTION 10/OPSIE 10
A-G:              W net     Ek              Any one/
              w ycosθ ½mv – ½mv               Enige een
(0,5)(9,8)(15,3)cos0° = ½(0,5)v – ½(0,5)(10,74)2 
                      vf = 20,38 m·s-1
OPTION 11/OPSIE 11
B-G:                W net = Ek                                                 B
                                             Any one/
               w ycosθ        mv – ½mv        Enige een
(0,5)(9,8)(21,19)cos0° = ½(0,5)vf2 – 0 
                       vf = 20,38 m·s-1
OPTION 12/OPSIE 12
C-G:              W net     Ek              Any one/                     A           C
              w ycosθ       mv – ½mv         Enige een
(0,5)(9,8)(15,3)cos0° = ½(0,5) v – ½ (0,5)(10,74)2
                      vf = 20,38 m·s-1
OPTION 13/OPSIE 13
A-G OR/OF C-G:
Wnc = K + U
                                           Any one/
                                                                                      G
Wnc = [ ½ m(v – v ) ]+ [ mg(hf - hi) ]
                                            Enige een
  0 = [ ½mv - ½mv ]+ [ mghf - mghi]
                                                            DURING COLLISION/TYDENS
  0 = [ ½(0,5) v – (10,74)2] + [0 –(0,5)(9,8)(15,3)]       BOTSING
 vf = 20,38 m·s-1                                            ∆Ek = Ekf – Eki
OPTION 14/OPSIE 14                                          ∆Ek = ½mv – mv Any one/
                                                                              Enige een
B-G:                                                        ∆Ek = ½m v – v )
Wnc = K + U                                               ∆Ek = ½(0,5)[(11,92)2 – (20,38)2] 
                                             Any one/
Wnc =[ ½ m(v – v )] + [ mg(hf - hi) ]          Enige een
                                                             ∆Ek/Ek lost = – 68,31 J 
   0 = [ ½mvf2 - ½mvi2 ] + [ mghf - mghi ]
   0 = [ ½(0,5) v – 0 ] + [ 0 – (0,5)(9,8)(21,19) ]        OR/OF
   vf = 20,38 m·s-1
OPTION 15/OPSIE 15                                           ∆Ek= ½(0,5)[(20,38)2 – (11,92)2] 
                                                             ∆Ek/Ek lost = 68,31 J 
      y v t         t
– ,3        0,    t      – ,8 t
      t = 3,18 s

      Fnet ∆t ∆p
                           Any one/Enige een
      mg∆t m vf – vi)
(-9,8)(3,18) = vf – 10,74 
                             -1
           vi = – 20,38 m·s 
OPTION 16/OPSIE 16
      (Ek + EP)top = (Ek + EP)bottom
                                             Any one/
         (0 + mgh)top = ( mv + 0)bottom        Enige een
                                  2
0 + (0,5)(9,8)(21,19) = (0,5)v + 0 
                                        -1
                    vi = 20,3795 m·s                                                                   (5)

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    Physical Sciences P1/Fisiese Wetenskappe V1    10                                                DBE/November 2023
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

    3.3.2      Marking criteria/Nasienkriteria
                Correct formula to c lcul te ∆t./Korrekte formule om ∆t te bereken. 
                Correct subst tut on to c lcul te ∆t./Korrekte vervanging om ∆t te bereken. 
                Correct final answer./Korrekte finale antwoord: 1,22 s 
              OPTION 1/OPSIE 1
              G-P:                                        G-P:
              UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
              vf = vi        t                           vf = vi     t
               0 = 11,92 + (– ,8 t                        0 = (– ,      ,8 t 
       P
                t = 1,22 s                                 t = 1,22 s 
              OPTION 2/OPSIE 2
              P-G:                                        P-G:
              UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
                      vf = vi     t                           vf = vi      t
                                                             ,       0     ,8 t 
G           G – 11,92 = 0 + (– ,8 t 
                        t = 1,22 s                              t = 1,22 s 
              OPTION 3/OPSIE 3
              G - G:                                      G - G:
              UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
                    vf = vi       t                            vf = vi      t
              –11,92 = 11,92 + (– ,8 t                   11,92 = – ,           ,8 t 
                       t = 2,43 s                                 t = 2,43 s
                                            , 3                                         , 3
              t to reach hmax/t tot hmaks =               t to reach hmax/t tot hmaks =
                                            = 1,22 s                                                 = 1,22 s 
               OPTION 4/OPSIE 4                                 y       v t     t 
               G-P:                                         ,             ,   t    – ,8                  t 
               UPWARDS AS POSITIVE/                                 t    , s
               OPWAARTS AS POSITIEF
               v v            y                           OR/OF
                            2
                0 = (11,92)     2(– ,8) y                                   v       v
                y = 7,25 m                                  ∆y          (                )∆t 
                                                                                ,        0
                                                          7,25 = (                           )∆t 
                                                                t           ,       s

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    Physical Sciences P1/Fisiese Wetenskappe V1    11                                                    DBE/November 2023
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

               G-P:                                                   v t y   t 
      P        DOWNWARDS AS POSITIVE/                           – ,    – ,   t                                   ,8   t 
               AFWAARTS AS POSITIEF                                 t   , s
               v v          y
                0 = (–11,92)2 2( ,8) y                          OR/OF
                y = –7,25 m                                                               v    v
                                                                     ∆y           (                    )∆t 
G         G                                                                               –    ,         0
                                                                –7,25 = (                                    )∆t 
                                                                     t , s
               OPTION 5/OPSIE 5                                     y v t     t 
               P-G:                                             – ,     – ,8 t 
               UPWARDS AS POSITIVE/                                  t , s
               OPWAARTS AS POSITIEF
                     v v          y                             OR/OF
                       2
               (–11,92) = 0 2(– ,8) y                                                     v    v
                       y = –7,25 m                                   ∆y           (                    )∆t 
                                                                                          0–       ,
                                                                –7,25 = (                                )∆t 
                                                                              t     , s
               P-G:                                                  y            v t     t 
               DOWNWARDS AS POSITIVE/                            ,                    , t     ,8                     t 
               AFWAARTS AS POSITIEF                                   t            , s
                     v v         y
                      2
               (11,92) = 0 2( ,8) y                             OR/OF
                      y = 7,25 m                                                      v        v
                                                                     ∆y           (                    )∆t 
                                                                                      0            ,
                                                                7,25 = (                                )∆t 
                                                                          t           ,       s

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Physical Sciences P1/Fisiese Wetenskappe V1    12                                                       DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

           OPTION 6/OPSIE 6                              UPWARDS AS POSITIVE/
                        W net  Ek                        OPWAARTS AS POSITIEF
                    w ycosθ    mv - ½mv
           0,   ,8 ∆ycos 80 = ½(0,5)(0 – (11,92)2
                             º
                                                              y       v t    t 
                         ∆y    , m                        ,             ,  t    – ,8 t 
                                                                  t    , s
           OR/OF                                         OR/OF
                                                                          v           v
                                                          ∆y          (                       )∆t 
           Wnc = K + U                                                          ,           0
           Wnc =[ ½ m(v – v ) ] + [ mg(hf – hi) ]        7,25 = (                                 )∆t 
             0 = [ ½mv – ½mv ] + [ mghf – mghi ]              t       ,           s
             0 = ½(0,5)[(0 – (11,92)2] + (0,5)(9,8)h
            h = 7,25 m
                                                         DOWNWARDS AS POSITIVE/
                                                         AFWAARTS AS POSITIEF
           OR/OF                                             y v t    t 
                                                         – ,    – ,    t   ,8 t 
                                                              t  , s
                         ∑EMi ∑EMf
                      2
                ½mvi + mghi = ½mv + mghf                 OR/OF
           ½ (0,5)(11,92)2 + 0 = 0 + (0,5)(9,8)(hf)                           v           v
                           h = 7,25 m                        ∆y      (                        )∆t 
                                                                  –                   ,            0
                                                         –7,25 = (                                     )∆t 
                                                                  t       ,           s
           OPTION 7/OPSIE 7
           DOWNWARDS AS POSITIVE/                        UPWARDS AS POSITIVE/
           AFWAARTS AS POSITIEF                          OPWAARTS AS POSITIEF
               Fnet ∆t ∆p m vf – vi)                       Fnet ∆t ∆p m vf – vi) 
               mg∆t m vf – vi)                               mg∆t m vf – vi)
           0,   ,8 ∆t 0, [0 – (11,92)]                  0,  ,8 ∆t 0, [0 – (–11,92)] 
                    ∆t = 1,22 s                                 ∆t = 1,22 s                                               (3)

3.4      POSITIVE MARKING FROM QUESTIONS 3.2 AND 3.3.2
         POSITIEWE NASIEN VANAF VRAE 3.2 EN 3.3.2
3.4.1    11,92 (m·s-1)                                                                                                     (1)

3.4.2    10,74 (m·s-1)                                                                                                     (1)

3.4.3    1,22 (s)                                                                                                          (1)
                                                                                                                            [16]

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Physical Sciences P1/Fisiese Wetenskappe V1    13                                DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 4/VRAAG 4

4.1        591 N to the right/original direction of bullet/Accept East 
           591 N na regs/in oorspronklike rigting van koeël/AanvaarOos                                  (1)

4.2       Marking criteria/Nasienkriteria
           Any correct formula for conservation of momentum./Enige korrekte formule vir
             behoud van momentum. 
           Correct substitutions. /Korrekte vervangings. 
           Correct final answer./Korrekte finale antwoord: 395,58 m·s-1
          Range/Gebied: (394 to 395,58 m·s-1)

                                                               Σpi Σpf                 Any one/
                                                     mbvbi + mtvti = {mb + mt)vf        Enige een
                                               (0,03)vbi+(2,7)(-3)=(0,03+2,7)(1,38) 
                                                          (0,03)vbi = 11,86
                                                                 vi = 395,58 m·s-1
          OPTION 1/OPSIE 1                     
              Fnet ∆t ∆p m vf – vi )           OR/OF
          (591)(0,02) = 2,7[vf – (–3)]                    ∆p(bullet) = – ∆p(trolley) 
                   vf = 1,38 m·s-1                     m(vf – vi ) = – (591)(0,02) 
                                               (0,03)(1,38 – vi) = –11,82
                                                        1,38 – vi = –394
                                                               vi = 395,38 m·s-1
                                                                                                        (4)

4.3       Marking criteria/Nasienkriteria
          If any of the underlined key words/phrases in the correct context is omitted deduct
          1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
          konteks uitgelaat is, trek 1 punt af.
          The total (linear) momentum in an isolated system is conserved/remains
          constant. 
          Die totale (lineêre) momentum in 'n geïsoleerde sisteem bly behoue/konstant.

          Accept for 1 mark/Aanvaar vir 1 punt
          In a isolated system the total momentum before a collision is equal to the total
          momentum after a collision.
          In ‘n geïsoleerde sisteem is die totale momentum voor ‘n botsing gelyk aan
          die totale momentum na ‘n botsing.                                                            (2)

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

4.4        POSITIVE MARKING FROM QUESTION 4.2.
           POSITIEWE NASIEN VANAF VRAAG 4.2.
           OPTION 1/OPSIE 1
           RIGHT AS POSITIVE/REGS AS POSITIEF
                                    ∑ pi ∑ pf
                           mxvix + myviy = mxvfx + myvfy Any one/Enige een
           (0,03)(395,58) + (2,7)( –3) = vf (0,03 + 2,7)
                                   vf = 1,38 m·s-1  Range/Gebied: (1,36 – 1,38 m·s-1)
           LEFT AS POSITIVE/LINKS AS POSITIEF
                                   ∑ pi ∑ pf
                          mxvix + myviy = mxvfx + myvfy Any one/Enige een
           (0,03)( –395,58) + (2,7)(3) = vf (0,03 + 2,7)
                                   vf = –1,38 m·s-1
                                   vf = 1,38 m·s-1  Range/Gebied: (1,36 –1,38 m·s-1)
           OPTION 2/OPSIE 2
                  Fnet ∆t ∆p m vf – vi) 
           (591)(0,02) = 2,7[vf – (–3)] 
                                        -1
                       vf = 1,38 m·s  Range/Gebied: (1,36 – 1,38 m·s-1)
           OPTION 3/OPSIE 3
           RIGHT AS POSITIVE/REGS AS POSITIEF
                           ∆p(bullet) ∆p(trolley) = 0
                                                      Any one/Enige een
                  m1(v1f – v1i) + m2 (v2f – v2i) = 0
           (0,03)(vf – 395,58)  + (2,7)(vf + 3)  = 0
                                                         -1
                                     vf = 1,38 m·s Range/Gebied:(1,36 – 1,38 m·s-1)
           LEFT AS POSITIVE/LINKS AS NEGATIEF
                           ∆p(bullet) ∆p(trolley) = 0
                                                      Any one/Enige een
                   m1(v1f – v1i) + m2 (v2f – v2i) = 0
           (0,03)(vf + 395,58)  + (2,7)(vf – 3)  = 0
                                                                   -1
                                                     vf = –1,38 m·s
                                                         -1                                              (4)
                                             vf = 1,38 m·s  Range/Gebied:(1,36 – 1,38 m·s-1)
                                                                                                         [11]

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Physical Sciences P1/Fisiese Wetenskappe V1    15                                        DBE/November 2023
                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 5/VRAAG 5

5.1
                               N                                            N
                                          ACCEPT/AANVAAR

                          f                                                          f

                               w                                            w
         Accepted labels/Aanvaarde benoemings
             Fw /Fg /FEarth on trolley/FAarde op trollie /mg /gravitational force/
          w
             gravitasiekrag/weight/gewig
          f Ff /fk/(kinetic) Friction/(kinetiese) wrywing/Fw
          N FN /Fsurface on trolley /Foppervlak op trollies /Normal/Normaal
         Notes/Aantekeninge:
              Mark awarded for label and arrow./Punt toegeken vir benoeming en pyltjie.
              Do not penalise for length of arrows./Moenie vir die lengte van die pyltjies
               penaliseer nie.
              Any other additional force(s)/Enige ander addisionele krag(te): Max/Maks ⅔
              If everything is correct, but no arrows/Indien alles korrek is, maar geen pyltjies:
               Max/Maks ⅔
              If force(s) do not make contact with the dot /Indien krag(te) nie met die kolletjie
               kontak maak nie: Max/Maks ⅔                                                                   (3)

5.2          Initial kinetic energy/Aanvanklike kinetiese energie/EkA /Eki/Ki                               (1)

5.3          Marking criteria/Nasienkriteria
             If any of the underlined key words/phrases in the correct context is omitted deduct
             1 mark/Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
             konteks uitgelaat is, trek 1 punt af.
             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)

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

5.4        Marking criteria/Nasienkriteria
           OPTION 1/OPSIE 1
                   Relating frictional force to gradient./Verband tussen wrywingskrag en helling. 
                   Correct subtitution of two values or ratio from the graph./Korrekte vervanging
                    van twee waardes of verhouding vanaf die grafiek. 
                   Formula to calculate mass./Formule om massa te bereken. 
                   Correct substitution of µ and 9,8./Korrekte vervanging van µ en 9,8. 
                   Correct final answer/Korrekte finale antwoord: 2,27 kg 
                              y       ∆x
           gradient =             =        =       
                              x       E

               ,              3                ,         
                    OR/OF         OR/OF          = 
                                               8
                         f =4N

               fk    k FN 
               4 = (0,18)(m)(9,8) 
               m = 2,27 kg 
           Marking criteria/Nasienkriteria
           OPTIONS 2 TO 5/OPSIES 2 TOT 5
            Correct formula for work./Korrekte formule vir arbeid. 
            Correct substitution of two co-ordinate values from the graph. Correct negative
             ∆Ek value (any two correct co-ordinates used). 
             Korrekte vervanging van twee koördinaat waardes vanaf die grafiek
             Korrekte negatiewe ∆Ek waarde (enige twee korrekte koördinate gebruik).
            Formula to calculate mass./Formule om massa te bereken. 
            Correct substitution of µ and 9,8./Korrekte invervanging van µ en 9,8. 
            Correct final answer/Korrekte finale antwoord: 2,27 kg 
           OPTION 2/OPSIE 2
                          W nc = K + U
                        W net = Ek
                        W net = Ekf – Eki              Any one/
                          Wf = Ek                       Enige een
                          Wf = Ekf – Eki
                   ∆xcos180° = Ekf – Eki
                    – f(1,5)  = 0 – 6 
           OR/OF
                                                                    fk = k FN 
                       – f(3) = 0 – 12
           OR/OF                                                    4 = (0,18)(m)(9,8) 
                    – f(4,5) = 0 – 18                               m = 2,27 kg 

                       f=4N
           OPTION 3/OPSIE 3
            W net = Fnet xcos θ 
            – 6 = f(1,5)cos180º  OR/OF
             – 12 = f(3)cos180º    OR/OF
             – 18 = f(4,5)cos180º
                f=4N

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           OPTION 4/OPSIE 4
           fk = µkN 
             = 0,18(9,8)(m) 
             = 1,76m
                         W net   ∆Ek
                  Fnet∆xcosθ = Ekf       Eki
                    fk∆xcosθ = Ekf          Eki   Any one/Enige een
                  µkN∆xcosθ = Ekf           Eki
              µkN∆xcos 80o = Ekf            Eki
              (1,76m)(4,5)  = 0        18 
           OR/OF
                  (1,76m)(3) = 0        12
           OR/OF
                 (1,76m)(1,5) = 0       6
                           m = 2,27 kg 
           OPTION 5/OPSIE 5
                                 Wnet ∆Ek 
                            
                          µkmg∆xcosθ Ekf Eki
                           
           (0,18)(m)(9,8) (4,5)cos180o = 0 18 
                                        m = 2,27 kg 
           OPTION 6/OPSIE 6
           fk = µkN 
             = 0,18(9,8)(m) 
             = 1,76m
                Fnet = ma
           -1,76m = ma
                                -2
                 a = -1,764 m·s
           v v            y
                   2
            0 = vi    2(-1,764)(4,5) 
                           -1
            vi = 3,98 m·s

           ∆Ek = ½m∆v2
           -18 = ½m(0-3,982) 
             m = 2,27 kg                                                                               (6)
                                                                                                        [12]

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 6/VRAAG 6

6.1.1     Marking criteria/Nasienkriteria
          If any of the underlined key words/phrases in the correct context is omitted deduct
          1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
          konteks uitgelaat is, trek 1 punt af.
          The change in frequency (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 (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/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)

6.1.2                v   v                                 v
              fL =            fS       OR/OF    fL =                fS 
                     v   vs                            v       vs
                                   v     
          512,64 = (                   ) (550) 
                              v
                      v = 343,04 m∙s-1         Range/Gebied: (332,14 - 343,04 m∙s-1)
                                                                                                                 (5)

6.1.3    a)          Remains the same/Bly dieselfde                                                             (1)

         b)          Remains the same/Bly dieselfde                                                             (1)

         c)          Decreases/Afneem                                                                           (1)

6.2.1    AWAY FROM/WEG VAN                                                                                      (1)

6.2.2    Marking criteria/Nasienkriteria:
         Second mark is only awarded if red is linked to lower frequency/longer wavelength./
         Tweede punt word slegs toegeken indien vergelyking getref word tussen rooi en laer
         frekwensie en langer golflengte.
              A lower frequency/longer wavelength  is detected.
              The spectral lines are shifted to the red end of the spectrum. 
              'n Laer frekwensie/langer golflengte word waargeneem.
              Die spektrale lyne word geskuif na die rooi end van die spektrum.                                 (2)
                                                                                                                 [13]

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 7/VRAAG 7

7.1.      Marking criteria/Nasienkriteria
          If any of the underlined key words/phrases in the correct context is omitted deduct
          1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
          konteks uitgelaat is, trek 1 punt af.
          Electric field is a region/space in which an electric charge experiences a
          force.
          'n Gebied/ruimte waarin 'n elektriese lading 'n krag ondervind.
          NOTE: If electric field at a point is defined: ⁄
          NOTA: Indien elektiese veld by 'n punt gedefinieer is: ⁄                                      (2)

7.2

         Criteria for sketch/Kriteria vir skets                                    Marks/Punte
         Correct direction of field lines./Korrekte rigting van veldlyne.                
         Correct shape of the electric field lines between charges and on the
         outside of the charges./Korrekte vorm van elektrieseveld tussen                 
         ladings en die buitekant van die ladings.
         No field lines crossing each other. Field lines must touch the charge,
         but not go inside the charge./Geen veldlyne wat mekaar kruis nie.               
         Veldlyne moet die lading raak, maar nie die lading binnegaan nie.
         Note: If learner draws field pattern of two opposite charges: ⁄
         If only one charge is drawn, max: ⁄ for direction.
         Nota: Indien leerder elektrieseveld van twee teenoorgestelde ladings teken: ⁄ .
         Indien slegs een lading geteken is, maks: ⁄ vir rigting.                                       (3)

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

7.3       Marking criteria/Nasienkriteria
                                   kQ
           Formula/Formule: E = 2 . 
                                    r
           Correct substitution for either A or B /Korrekte vervanging vir of A of B.
           Substitution of 27 or –27 for Enet. /Vervanging van 27 of –27 vir Enet.
           Subtraction of/Aftrek van (EA – EB OF/OR EB – EA ) 
           Correct final answer/Korrekte finale antwoord: 0,87 (m) 
          OPTION 1/OPSIE 1
             kQ
          E= 2 
             r
                  (       x 0 )( 3 x 0- )
          EA =
                               r                     Any one/Enige een
                  (   x 0 )( 3 x 0- )
          EB =
                               r
          Enet = EA – EB

                  (   x 0 )( 3 x 0- )  (        x 0 )( 3 x 0- )
          27 =
                          r                             r
             r = 0,87 (m) 

          OR/OF
               kQ
          E=      
               r2
                  (       x 0 )( 3 x 0- )
          EA =                                       Any one/Enige een
                               r

                  (   x 0 )( 3 x 0- )
          EB =
                               r
          Enet = EB – EA

                      (    x 0 )( 3 x 0- )       (   x 0 )( 3 x 0- )
          –27 =                             
                                   r                        r
               r = 0,87 (m )

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

          OPTION 2/OPSIE 2
          Marking criteria/Nasienkriteria:
           Formula for Coulomb's law./Formule vir Coulomb se wet. 
           Correct substitution in Coulomb's formula for either FA or FB./ 
             Korrekte vervanging in Coulomb se formule vir of FA of FB.
           Substitution of 27q or –27q for Fnet. /Vervanging van 27q of –27q vir Fnet.
           Subtraction of/Aftrek van (FA – FB OF/OR FB – FA) 
           Correct final answer/Korrekte finale antwoord: 0,87 (m)

          F=              
                  r
                  (       x 0 )( 3 x 0- ) q
          FA =
                                  r
                                                       Any one/Enige een
                  (   x 0 )( 3 x 0- ) q
          FB =
                                  r
          Fnet = FA – FB
                      (       x 0 )( 3 x 0- ) q   (    x 0 )( 3 x 0- ) q
          27q =
                                      r                          r
                 r = 0,87 (m) 

          OR/OF

          F=              
                  r
                  (       x 0 )( 3 x 0- ) q
          FA =
                                  r
                                                       Any one/Enige een
                  (   x 0 )( 3 x 0- ) q
          FB =
                                  r

          –Fnet = FB – FA
                          (   x 0 )( 3 x 0- ) q  (    x 0 )( 3 x 0- ) q
          –27q =                               –
                                    r                           r
                  r = 0,87 (m)                                                                            (5)

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

7.4       OPTION 1/OPSIE 1
          F = Eq 
            = (27)(1,6 x 10-19) 
            = 4,32 x 10-18 N 
          Note: Do not penalize for -1,6 x 10-19, but penalize for negative final answer.
          Nota: Moenie penaliseer vir -1,6 x 10-19 nie, maar wel vir negatiewe finale
          antwoord.
          POSITIVE MARKING FROM QUESTION 7.3.
          POSITIEWE NASIEN VANAF VRAAG 7.3.
          OPTION 2/OPSIE 2
          F=                 
                      r
          Fnet = FA – FB                                                                         
                  (       x 0 )( 3 x 0- )( , x 0- )         (   x 0 )( 3 x 0- )( , x 0- )
          Fnet=
                                   0,8                                       ,
               = 4,28 x 10-18 N 

          OR/OF
          F=                 
                      r
          Fnet = FB – FA
                                                                                                 
                  (       x 0 )( 3 x 0- )( , x 0- )     (       x 0 )( 3 x 0- )( , x 0- )
          Fnet=
                                   ,                                      0,8
               = 4,28 x 10-18 N
               = 4,28 x 10-18 N                                                                          (3)
                                                                                                          [13]

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                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 8/VRAAG 8

8.1       Marking criteria/Nasienkriteria
          If any of the underlined key words/phrases in the correct context is omitted deduct
          1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
          konteks uitgelaat is, trek 1 punt af.
          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.
          OR/OF
          The ratio of potential difference to current is constant provided the
          temperature remains the same. 
          Die verhouding van potensiaalverskil tot stroom is konstant indien die
          temperatuur konstant bly.                                                                                   (2)

8.2.1     Marking criteria/Nasienkriteria
           Any correct formula to calculate the effective resistance of any of the two parallel
             combinations./Enige korrekte formule om die effektiewe weerstand van enige een
             van die parallel kombinasies te bereken.
           Correct substitution in formula to calculate effective resistance of both parallel
             combinations./Korrekte vervanging in formule om effektiewe weerstand van beide
             parallel gedeeltes te bereken. 
           Adding the 10 Ω to the first parallel combination and using this to calculate the
             external resistance (Rext)/Bymekaartel van 10 Ω en die gebruik daarvan om die
             eksterne weerstand te bereken 
           Correct final answer/Korrekte finale antwoord: 7,5 Ω 
          OPTION 1/OPSIE 1                       OPTION 2/OPSIE 2

          R12L = RL + (           )                    =      +               OR/OF R12 =(              )
                                                   p
                          10  10                                                        0x 0
                 = 10 +                               =       +           OR/OF                  
                           10  10                       0            0                   0    0
                 = 15 Ω                           R12 = 5 Ω
                                   Any one/
                       3               enige een R12L = RL + R12
          Rp = (              )                           
                    3                                      = 10 + 5
               15  15                                            Ω                         Any one/
          Rp =         
               15  15                                                                        enige een
          Rp= 7,5 Ω 
                                                       =          +
                                                   p                      3

                                                       =      +       
                                                   p
                                                 Rp = 7,5 Ω                                                         (5)

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