# Physical Sciences Grade 12 P1 Gauteng Prelim 2024 Memo (Afr)

> Grade 12 Physical Sciences Paper 1 memorandum from the Gauteng Prelim Exam 2024 (Afrikaans), 19 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr-12-physical-science-p1-english-and-afrikaans-2024possible-answers/d6b498fa-cd57-4191-8e0e-c0850fb52b95
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Language: Afrikaans
- Document type: Memorandum
- Year: 2024
- Exam period: Gauteng Prelim Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 19

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## About this document

Physical Sciences · Grade 12 · Gauteng Prelim Exam · 2024 · Afrikaans. Memorandum, 19 pages. Read online or download the PDF.

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           PREPARATORY EXAMINATION
                          2024

               MARKING GUIDELINE

            PHYSICAL SCIENCES: PHYSICS (PAPER 1)
                          (10841)

16 pages

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QUESTION 1/VRAAG 1

1.1   B                                      (2)

1.2   C                                      (2)

1.3   B                                      (2)

1.4   B                                      (2)

1.5   A                                      (2)

1.6   C                                      (2)

1.7   C                                      (2)

1.8   D                                      (2)

1.9   C                                      (2)

1.10 B                                       (2)
                                              [20]

                         2

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QUESTION 2 / VRAAG 2

2.1 The net force acting on a body is the vector sum  of two or more forces  acting
    on that body.
    Die netto krag wat op ŉ liggaam inwerk is die vektor som  van twee of meer
    kragte  wat op die liggaam inwerk.

      OR/OR

      A single vector having the same effect as two or more vectors together.
      Die enkel vektor wat dieselfde effek het as twee of meer vektore saam.                               (2)

      Marking criteria/ Nasienkriteria:

      Mark for scientifically correct explanation of the net force. Exact wording is not
      required.
      Merk vir wetenskaplik korrekte verduideliking van netto krag. Bewoording hoef nie
      identies soos bo te wees nie.

2.2
                                                         Accepted labels/ Aanvaarde benoemings
                                                         w Fg/Fw/weight/gravitational
                                                             force/gewig/gravitasiekrag
                                                         N N/FN/Normal Force/Normaalkrag
                                                         f   fs/fk/friction /wrywing
                                                         T2 T/T/FA/Force applied/tension at an angle/or
                                                             its components/ Krag toegepas/spanning
                                                             teen ŉ hoek
                                                         T1 T/T/FA/Force applied/tension/ Krag
                                                             toegepas/spanning

      Notes:
      • Mark awarded for label and arrow.
      • Do not penalise for length of arrows, drawing is not to scale.
      • Any other additional force(s) Max 4�5
      • If force(s) do not make contact with body Max 4�5
      • If no arrows indicated and all forces correctly drawn deduct 1 mark 4�5
      •   Diagram must preferably not be in pencil

      Aantekeninge:
      • Punt toegeken vir benoeming en pyltjie.
      • Moenie penaliseer vir lengte van pyle nie; skets is nie volgens skaal nie.
      • Enige ander addisionele krag(te) Maks 4�5
      • Indien krag(te) nie kontak maak met liggaam nie Maks 4�5
      • Indien geen pyle nie, maar alle kragte is reg geteken, trek 1 punt af Maks 4�5
      •   Diagram moet verkieslik nie in potlood wees nie.
                                                                                                           (5)

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2.3 OPTION 1/ OPSIE 1:                     OPTION 2/ OPSIE 2:

     CAR/kar: FNet =m x a                 Car/kar: Fnet = ma = +T1 – f – Fg// 
     T1 - Fg∥ - Ff =1a                     1a = +T1 – 1,5 – (1)(9,8)(sin 20 °)
     T1 – 3,35 -1,5 =1a                    1a = +T1 – 5,5318 ……..(1) 
     T1 = 4,85 +a 
     TRAIN/Trein: FNET =ma                 Train /trein: Fnet = ma = +T2x – f – Fg// – T1
     FHORIZ -T1 - Fg∥ - Ff =2 a            2a = +(20 x cos 10 °) – 2 – (2)(9,8)(sin 20 °) – T1

     19,696-T1 -6,704-2=2a                 2a = 11,49 – T1 ……..(2) 
                                           1+2 
     T1 =10,992-2a 
                                           1a = +T1 – 5,5318 ……..(1)
     CAR T1 =TRAIN T1  /
                                           2a = 11,49 – T1 ……..(2)
     Kar T1= Trein T1
                                           3a = 6,141
     4,85+1a =10,992 - 2a
                                           a = 2,0468 m.s-2
     a=2,047 m.s-2
                                                                                                      (5)

     OPTION 3/ OPSIE 3:

     Fnet = ma = +T1 – f – Fg// 
                                                               Marking criteria/
     1a = +T1 – 1,5 – (1)(9,8)(sin 20 °)                       Nasienkriteria:
                                                                Formula/formula
     T1 = +1a + 4,85 ……..(1) 
                                                                Substitution for 1 kg/
     Fnet = ma = +T2x – f – Fg// – T1
                                                                    Vervanging vir 1 kg
     T1 = – 2a +(20)(cos 10°) – 2 – (2)( 9,8)(sin 20 °)
                                                                Substitution for 2 kg/
     T1 = – 2a + 10,99..…..(2) 
                                                                    Vervanging vir 2 kg
     T1 = T1 
                                                                Equating 1 and 2/
     1a + 4,85 = – 2a + 10,99
                                                                    Gelykstelling van 1 en 2
     3a = 6,141
                                                                Answer a = 2,05 m.s-2 /
     a = 2,05 m.s-2                                                                                  (5)
                                                                    Antwoord a = 2,05 m.s-2

2.4 Remains the same 
    • The normal force stays the same. 
    • The frictional force is directly proportional to the normal force ∴ remains the
      same. 

     OR
     • Since the friction force is dependent on the normal force,
     • and the NORMAL FORCE DOES NOT CHANGE.

     OR                                                                                               (3)

                                               4

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     • The coefficient of the surface remains constant, the incline stays constant, thus
       the normal stays constant.
     • The frictional force is directly proportional to the coefficient, thus remains
        constant.

         Bly dieselfde 
     •   Die normaalkrag bly dieselfde. 
     •   Die wrywingskrag is direk eweredig aan die normaalkrag ∴ bly dieselfde. 

         OF
     •   Aangesien die wrywingskrag afhanklik is van die normaalkrag,
     •   en die NORMAALKRAG VERANDER NIE.

         OF
     •   Die koëffisiënt van die oppervlak bly konstant, die helling bly konstant, dus bly
         die normaalkrag konstant.
     •   Die wrywingskrag is direk eweredig aan die koëffisiënt, dus bly dit konstant
                                                                                              [15]

QUESTION 3/VRAAG 3

3.1 Free fall is the motion of a body when the only force acting on it is its gravitational
    force.  (2 or zero)
    Vryval is beweging waartydens die enigste krag wat op ŉ voorwerp inwerk, die
    gravitasiekrag is (2 of nul)                                                               (2)

     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.

3.2 OPTION 1/OPSIE 1: (down positive/af            OPTION 2/OPSIE 2: (up positive/op
    positief)                                      positief)

             1 2                                                1
     ∆y= vi ∆t+at                                 ∆𝐲𝐲 = vi ∆t + a∆t 2
             2                                                  2
             1                                             1          2
     44 =0 + (9,8)(6t)2                          -44=0+ (-9,8)(6t)
             2                                             2

     44=176,4 t2                                   –44 = – 176,4 t2

            44                                       t = 0,499 s/0,5 s
     t=�           =0,499 s 
           176,4                                                                               (4)

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    OPTION 3/OPSIE 3: (up positive/op                    Marking criteria/ Nasienkriteria:
    positief)

            1                                                Formula / Formule
    x= vi t+ at2
            2                                                Substitution left /Vervanging links
          1                                                (x and g same signs!)/ Vervanging
    −44=0+ (-9,8)t2
          2                                                   (x en g dieselfde tekens!)

    –44 = – 4,9 t2                                         Substitution right / Vervanging regs
                                                           Answer (accept 0,5 s or 0,499 s)/
      t =3s÷6
                                                              Antwoord (aanvaar 0,5 s of 0,499 s)
         = 0,499 s

         = 0,5 s

3.3 Positive marking from QUESTION 3.2
    Positiewe merk van VRAAG 3.2
    OPTION 1/OPSIE 1: (down positive/af                  OPTION 2/OPSIE 2: (up positive/op
    positief)                                            positief)
                       1 2                                                1
    ∆𝑦𝑦 = 𝑣𝑣𝑖𝑖 ∆𝑡𝑡 +     𝑎𝑎𝑡𝑡                           ∆y = vi ∆t +       a∆t 2 
                       2                                                  2
                   1                                                  1
        = 0 + 2 (9,8)(3 𝑥𝑥 0,499)2                          = 0 + 2 (−9,8)(3 x 0,5)2 

        = 10,98 𝑚𝑚                                           = - 11,03 m
    ∴ ℎ = 44 − 10,98  = 33,02 𝑚𝑚                           = 11,03 m down
                                                         ∴ hB =44-11,03 =32,98 m 

    OPTION 3/OPSIE 3: (down positive/af
                                                         Marking criteria/ Nasienkriteria:
    positief)
                                                          Formula / Formule
    𝒗𝒗𝒇𝒇 = 𝒗𝒗𝒊𝒊 + 𝒂𝒂∆𝒕𝒕                                      Substitution left / Vervanging
        = 0 + (9,8 x 1,5)                                     links
        = 14,7 𝑚𝑚. 𝑠𝑠 −1            Mark for both          (x/y and g same signs!) /
                                    equations
    𝑣𝑣𝑓𝑓2 = 𝑣𝑣𝑖𝑖2 + 2𝑎𝑎∆𝑦𝑦                                   Vervanging

    14,72 = 0 + 2(9,8)∆𝒚𝒚                                    (x/y en g dieselfde tekens!)

    ∆𝒚𝒚 = 11,025 𝑚𝑚                                          h – x answer / h – x antwoord

    ∴ 𝒉𝒉𝑩𝑩 = 𝟒𝟒𝟒𝟒 − 𝟏𝟏𝟏𝟏, 𝟎𝟎𝟎𝟎  = 𝟑𝟑𝟑𝟑, 𝟗𝟗𝟗𝟗 𝒎𝒎                                                    (4)

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    OPTION 4/OPSIE 4: (down positive/af
    positief)

    𝒗𝒗𝒇𝒇 = 𝒗𝒗𝒊𝒊 + 𝒂𝒂∆𝒕𝒕
           = 0 + (9,8)(1,5)
           = 14,7 𝑚𝑚. 𝑠𝑠 −1        Mark for both
                                    equations
                     1
    𝑥𝑥 = 𝑣𝑣𝑖𝑖 𝑡𝑡 + 2 𝑎𝑎∆𝑡𝑡 2 
                                1
         = (14,7 𝑥𝑥 1,5) + 2 (9,8)1,52 

         = 33,075 m (33,08 m) 

    OPTION 5/OPSIE 5: (down positive/af
    positief)
    𝑣𝑣𝑓𝑓2 = 𝑣𝑣𝑖𝑖2 + 2𝑎𝑎∆𝑥𝑥
          = 0 + 2(9,8)(44)
                            Mark for both equations
    𝑣𝑣𝑓𝑓 = 29,37 m.s-1      Punt vir albei vergelykings

    𝑣𝑣𝑓𝑓 = 𝑣𝑣𝑖𝑖 + 𝑎𝑎𝑎𝑎 
         29,37 = 0 + 9,8 t 
    𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡 = 3 s = 6t
         t = 0,5 s 

3.4 OPTION 1/OPSIE 1: up positive                       Marking criteria/ Nasienkriteria:

                                                        Positive marking from QUESTIONS 3.2
                                                        and 3.3 for values:
                                                        Positiewe merk van VRAAG 3.2 en 3.3

      position (m)
                                                           44 m initial height/ aanvanklike
                                                            hoogte
                                                         Height after bounce/ hoogte na bons
                                                         Time for bounce (6t or 3 s as
                                                            calculated)
                                                            Tyd vir bons (6t of 3 s soos bereken)
                                                         Time at C before bounce (3t or 1,5 s
                                                            as calculated)
                                                            Tyd by C voor bons (3t of 1,5 s soos
                                                            bereken)
                            3t 6t                        Correct shape/ Regte vorm
                            time(s)                     Accept contact time – did not specify hard
                                                        or soft ball /Aanvaar kontak tyd – vraag
                                                        spesifiseer nie harde of sagte bal nie

                                                    7

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      OPTION 2/OPSIE 3: down positive/ af
      positief

                                     3t 6t              time (s)

       position (m)

                                                                                                         (5)
                                                                                                        [15]

QUESTION 4

4.1 The total linear momentum of an isolated system remains constant (is conserved).
    Die totale lineêre momentum van ŉ geïsoleerde sisteem bly konstant (behoue).

      Marking criteria/ Nasienkriteria:

      If any of the underlined key words/phrases in the correct context is
      omitted, deduct 1 mark. If closed system is used – no marks
      Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
      konteks uitgelaat is, trek 1 punt af. Indien geslote sisteem gebruik word
      – geen punte.                                                                                      (2)

4.2                   ∑𝐩𝐩𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛𝐛/𝒗𝒗𝒗𝒗𝒗𝒗𝒗𝒗 = ∑𝐩𝐩𝐚𝐚𝐚𝐚𝐚𝐚𝐚𝐚𝐚𝐚/𝒏𝒏𝒏𝒏       Marking criteria:
      𝒎𝒎𝑩𝑩 𝒗𝒗𝒊𝒊𝒊𝒊 + 𝒎𝒎𝒃𝒃 𝒗𝒗𝒊𝒊𝒊𝒊 = 𝑴𝑴𝒗𝒗𝒇𝒇                                    Formula/formula
       (0,15)(0) + (0,05)(200)  = (0,2)vf                                  Substitution right/
      𝒗𝒗𝒇𝒇 = 𝟓𝟓𝟓𝟓 𝒎𝒎. 𝒔𝒔−𝟏𝟏                                                  Vervanging regs
                                                                             Substitution left /
                                                                              Vervanging links
                                                                             Answer/ Antwoord           (4)

                                                                      8

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4.3 INELASTIC  / ONELASTIES                            Marking criteria/ Nasienkriteria:

                 1            1                          INELASTIC/ ONELASTIES
     ∑Ek before = mB v2 +         mb v2 
                 2            2
       = ½ (0,15)(0)2 + ½ (0,05)(200)2                  Formula / Formule

     = 1000 J                                            Substitution BEFORE /

              1                                              Vervanging VOOR
     Ekafter = m(B+b) v2                                 Substitution AFTER/
              2
       1 200                                                 Vervanging NA
      = �    � x (50)2 
       2 1000                                            Answer/ Antwoord
      = 250 J
     Since total Ek before collision ≠ total Ek after collision, the collision is INELASTIC.
     Aangesien Ek voor botsing ≠ Ek na botsing is die botsing, ONELASTIES                       (4)

4.4 Positive marking from QUESTION 4.2 and               Marking criteria/ Nasienkriteria:
     4.3 / Positiewe merk van VRAAG 4.2 en 4.3
                                                             Formula/ Formule
                     ∆p
            FNET =                                          Substitution/ Vervanging
                     ∆t
                                                             Answer/ Antwoord
           (0,05)(195) - (0,05)(200)
     -5=                             
                       ∆t
              ∆t=0,05 s                                                                        (3)
                                                                                                [13]

QUESTION 5

5.1 The (total) net work done is equal to the change in kinetic energy. 
    OR
    The work done by a net force is equal to the change in kinetic energy.

     Die netto arbeid verrig op ŉ voorwerp is gelyk aan die verandering in kinetiese
     energie van die voorwerp.
     OF
     Die netto arbeid verrig deur ‘n netto krag is gelyk aan die verandering in kinetiese
     energie                                                                                    (2)

     Marking criteria/ Nasienkriteria:

     If any of the underlined key words/phrases in the correct context is omitted, deduct
     1 mark.
     If work is omitted, then zero marks
     Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte konteks
     uitgelaat is, trek 1 punt af.
     Indien werk uitgelaat word, geen punte.

                                               9

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5.2                                               Accepted labels
                                                  w   Fg/Fw/weight/gravitational force
                                                  N   N/FN/Normal Force
                                                  f   fs/Ff/friction

                                                                                                   (3)

5.3 A non-conservative force is the force for which the work done is dependent on the
    path taken.                                                                                  (2)

      Marking criteria

      If any of the underlined key words/phrases in the correct context is omitted deduct
      1 mark

5.4 OPTION 1/OPSIE 1:

      Wnc = ∆ Ep + ∆ Ek 
      FfΔxcos180o = (53)(9,8)(1,5 - 0) + ½ (53)(02 – 62)
        20Δxcos180o = 779,1 – 954                 Marking criteria/Nasienriglyn:
                  -20x = -174,9
                                                        Formula/Formule
                       Δx = 8,745 m
                                                        Substitution (Wnc) / Vervanging van Wnc
                1,5                                     Substitution Ep/ Vervanging van Ep
      Sinθ =         
               8,745                                    Substitution Ek/ Vervanging van Ek
         θ = 9,88o                                     Angle substitution/Hoek vervanging
                                                        answer

      OPTION 2/OPSIE 2:

      Wnet = ∆Ek 
      Fnet = f + Fg// (friction and Fg// must have the same sign)
           = 20 + (53 x 9,8 x sin θ)
                                  1           1
      Wnet = Fnet x cos 180° = 2 𝑚𝑚 𝑣𝑣𝑓𝑓2 − 2 𝑚𝑚 𝑣𝑣𝑖𝑖2
                         1,5
      (20 + (53 x 9,8 x 𝑥𝑥 )) x cos 180° = 0 – (½ x 53 x 62) 

      – 20 x = – 174,9

           x = 8,745 m 
                                                                                                   (6)

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                1,5
     sinθ =            
               8,745

       = 9,88 °  (accept range 9,87 – 9,88)
                                                                                           [13]

QUESTION 6/VRAAG 6

6.1 The change in frequency (or pitch) of the sound detected by a listener, because the
    sound source and the listener have different velocities relative to the medium of
    sound propagation. 
    Die verandering in frekwensie (of toonhoogte) van die klank waargeneem deur ŉ
    luisteraar omdat die klankbron en die luisteraar verskillende snelhede relatief tot
    die medium waarin die klank voortgeplant word, het                                      (2)

     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.

6.2 Graph B. 
    The frequency recorded is lower than the emitted frequency. 

     OR

     Lower frequency gives a longer wavelength, thus moving away. 

     OR

     Frequency decreases compared to emitted frequency

     Grafiek B. 
     Die waargenome frekwensie is laer as die bron se frekwensie.

     OF

     Laer frekwensie gee ŉ langer golflengte, dus beweeg weg.

     OF

     Frekwensie is laer as die bron frekwensie                                              (2)

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6.3 OPTION 1/OPSIE 1:

                                                                                          𝒗𝒗 ∓ 𝒗𝒗𝑳𝑳
                      𝒗𝒗 ∓ 𝒗𝒗𝑳𝑳                                                  𝒇𝒇𝑳𝑳 =             𝒙𝒙 𝒇𝒇𝑺𝑺
             𝒇𝒇𝑳𝑳 =             𝒙𝒙 𝒇𝒇𝑺𝑺                                                  𝒗𝒗 ∓ 𝒗𝒗𝑺𝑺
                      𝒗𝒗 ∓ 𝒗𝒗𝑺𝑺
                                                                                              𝟑𝟑𝟑𝟑𝟑𝟑
                          𝟑𝟑𝟑𝟑𝟑𝟑                                              9𝟎𝟎𝟎𝟎 =                   𝒙𝒙 𝒇𝒇𝑺𝑺 
      𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 =                    𝒙𝒙 𝒇𝒇𝑺𝑺                                              𝟑𝟑𝟑𝟑𝟑𝟑 + 𝒗𝒗𝑺𝑺
                      𝟑𝟑𝟑𝟑𝟑𝟑 − 𝒗𝒗𝑺𝑺
                                                                                        𝟗𝟗𝟗𝟗𝟗𝟗 𝒙𝒙 𝟑𝟑𝟑𝟑𝟑𝟑 + 𝒗𝒗𝑺𝑺
                 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 𝒙𝒙 𝟑𝟑𝟑𝟑𝟑𝟑 − 𝒗𝒗𝑺𝑺                                     𝒇𝒇𝑺𝑺 =
          𝒇𝒇𝑺𝑺 =                                                                                  𝟑𝟑𝟑𝟑𝟑𝟑
                           𝟑𝟑𝟑𝟑𝟑𝟑
                                            𝑓𝑓𝑠𝑠 = 𝑓𝑓𝑠𝑠                        Marking criteria:
                           (1100) 340− 𝑣𝑣𝑠𝑠         (900) 340+ 𝑣𝑣𝑠𝑠
                                                =                     
                                 340                      340                   Complete Doppler formula
                                             𝑣𝑣𝑠𝑠 = 34 𝑚𝑚. 𝑠𝑠   −1
                                                                               Substitution     (towards)          /
                                                                                 Vervanging (na)
                                                                                Substitution (away)
                                                                                Equate fs                                (5)

6.4 6.4.1            B  Red shifted / Rooi verskuiwing                                                                   (1)

     6.4.2           High frequency  Short wavelength 
                     Hoë frekwensie  Kort golflengte                                                                    (2)
                                                                                                                         [12]

QUESTION 7

7.1 The electric field at a point is the electrostatic force experienced per unit positive
    charge placed at that point. 
    Die elektriese veld by ŉ punt is die elektrostatiese krag wat per eenheidspositiewe-
    lading wat by daardie punt geplaas is, ondervind word.                                                              (2)

     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.

7.2 Take direction of EA as positive
    Enet = EA – EB  for subtraction
                                                                          Marking criteria/ Nasienkriteria:
          kQA        kQB
      =          –          formula
            r2        r2
                                                                             Formula /Formule
      (9x109 )(6x10-6 )                (9x109 )(3x10-6 )                     Substitution QA/ Vervanging QA
     =                          –                                          Substitution QB/ Vervanging QA
                 42                             12
                                                                             Answer with direction / Antwoord met
     = – 23 625 N·C –1                                                        rigting.
     Enet is 23 625 N·C –1 to the left/                                   Direction of EB can also be taken as
                     towards P                                           positive. Signs will then be different.

                                                                         12

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     OPTION 2:

            𝑘𝑘𝑄𝑄𝐴𝐴
     𝐸𝐸 =            
             𝑟𝑟 2

       = 9 x 109 x 6 x 10-6 
             (4)2
       = 3 375 N.C-1 to the right
            𝑘𝑘𝑄𝑄𝐵𝐵
     𝐸𝐸 =
             𝑟𝑟 2
       = 9 x 109 x 3 x 10-6 
             (1)2
       = 27 000 N.C-1 to the left
     Enet = EA – EB (take right as positve) 
              = 3 375 – 27 000
             = –23 625
             = 23 625 N·C-1 to the left                                                       (5)

7.3 Positive marking from QUESTION 7.2 /Positiewe merk van VRAAG 7.2
       F
     E=                                                Marking criteria:
       q
                             F                             Formula to calculate F
      23 625 =                   -19
                                       
                         1,6x10                            Substitution / Vervanging
                                                           Substitution mass of proton
     F is 3,78 x 10-15 N                                   Answer for acceleration
                     Fnet = ma
     3,78 x 10-15 = 1,67 x 10-27a 
                         a = 2,26 x 1012 m∙s-2                                                (4)

                                                                         1
7.4 Larger acceleration  as mass of electron is smaller. (a α )
                                                                        𝑚𝑚
     Opposite direction 
                                                                           1
     Groter versnelling omdat die massa van die elektron kleiner is. (a α 𝑚𝑚)
     Teenoorgestelde rigting                                                                  (2)
                                                                                              [13]

                                                   13

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QUESTION 8/VRAAG 8

8.1 The maximum energy provided by a battery per unit charge passing through it.
    Die maksimum energie wat ŉ battery lewer per eenheidslading wat daardeur vloei           (2)

     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

8.2 8.2.1         3V                                                                        (1)

     8.2.2        0,4 A                                                                     (1)

8.3 Positive marking from QUESTION 8.2
                                                    Marking criteria/ Nasienkriteria:
     Positiewe nasien van VRAAG 8.2
          V                                             Formula/Formule
     R= I 
                                                        Substitution/ Vervanging
         6+3                                            Answer/Antwoord
     =       
         0,2
     = 45 Ω                                                                                 (3)

8.4 Positive marking from QUESTION 8.2
    Positiewe nasien van VRAAG 8.2

     OPTION 1/OPSIE 1:                              Marking criteria/ Nasienkriteria:
     1      1      1                                    Formula RP / Formule RP
        =        +    
     R p R1 + R 2 R 3                                   Substitution / Vervanging
              1       1                                 Substitution RT
     =            +                                    Formule EMF/
         15+7,5       45
                                                        Substitution
     Rp = 15 Ω                                          Answer
     RT = Rs +Rp
     = 4 + 15 
     = 19 Ω
     emf = I(R+r) 
              = (0,6)(19 + 1) 
              = 12 V                                                                        (6)

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     OPTION 2:

     Vp = 6+3 = 9V 
     Ip = 0,2 + 0,4 = 0,6 A 
              𝑉𝑉𝑝𝑝
     𝑅𝑅𝑃𝑃 =
              𝐼𝐼𝑝𝑝
              9
         = 0,6

         = 15 Ω 
     𝑅𝑅𝑇𝑇 = 𝑅𝑅𝑠𝑠 + 𝑅𝑅𝑃𝑃
         = 4 + 15
         =19 Ω
     emf = I(R+r) 
     = (0,6)(19 + 1) 
     = 12 V 

8.5 Gradient = 𝛥𝛥𝛥𝛥=V2 
               𝛥𝛥𝛥𝛥                                        Marking criteria:
              600−0
     V2 = 6−0 
                                                            Substitution top/ Vervanging bo
         V = 10 V                                          Substitution bottom/ Vervanging
                                                             onder
                                                            V2 answer / V2 antwoord
     OR

                           Δy                    V2
     Gradient =                 =V2  from P =
                           Δx                    R
              800-200
     V2 =                       
                     8-2
     V = 10 V                                                                                      (4)
                                                                                                   [17]

                                                      15

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QUESTION 9

9.1 AC  as there are sliprings 
    WS omdat daar sleepringe is                                                      (2)

9.2 Mechanical energy to electrical energy 
    Meganiese energie na elektriese energie                                          (1)

9.3 a to b 
    a na b                                                                           (1)

9.4 OPTION 1:

                Imax
     Irms =                                           Marking criteria:
                √2

     Imax = (4,55)√2                                    Formula
                                                         First substitution
     = 6,434 A                                           Second substitution
           V                                             Answer
     R= max 
           Imax
         150
     =           
         6,434

     = 23,31 Ω                                                                      (4)

     OPTION 2:

     Calculate Vrms and use rms values to calculate resistance.
                    𝑉𝑉𝑚𝑚𝑚𝑚𝑚𝑚
     𝑉𝑉rms =
                      √2
                150
          = √2 

         = 106,07 V
           𝑉𝑉
     𝑅𝑅 = 𝐼𝐼rms  (subscripts optional)
              rms

         = 106,07 
            4,55
         = 23,31 Ω 

9.5 W = PΔt 
     = (400)(3 x 60) 
     = 72 000 J                                                                     (3)

                                            16

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9.6   9.6.1

               double the emf/amplitude/300
               half the frequency
              Do not penalise if more than one wave is shown.

              dubbel die emk/amplitude
              die helfte van die frekwensie
              Moenie penaliseer as meer as een golf geteken is nie                         (2)

      9.6.2   With a factor 4W 
              ε α1/Δt  if N and flux stay constant.
              If the rotation doubles, the induced emf will double 
              W α V2 if R and Δt stay constant 
              and energy emitted will quadruple (4x)
              Note: Correct calculations can be accepted as an explanation.                (4)
                                                                                          [17]

QUESTION 10 /Vraag 10

10.1 The minimum energy that an electron in the metal needs to be emitted from the
     metal surface.  (exact words not needed as definition was not asked)
     Die minimum energie benodig om ŉ elektron uit die oppervlak van ŉ metaal vry te
     stel.  (presiese woorde is nie nodig nie aangesien definisie nie gevra word nie)    (2)

                                             17

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10.2 E = Wo + Ek max                                             Marking criteria /
      hf = hfo + Ek max                                           Nasienkriteria:

      (6,63 x 10-34)(6,3 x 1014)  = Wo + 1,2 x 10-19             Formula/Formule
      Wo   = 2,98 x 10-19 J ’                                     Substitution left /
                                                                    Vervanging links
                                                                   Substitution right/
                                                                    Vervanging links           (4)
                                                                   Answer /Antwoord

10.3 Positive marking from QUESTION 10.2
      OPTION 1/OPSIE 1
      YES  /Ja
      Wo = hfo 
      2,98 x 10-19 = (6,63 x 10-34)fo 
      fo = 4,49 x 1014 Hz 
      Electrons will be emitted as the threshold frequency is lower than the frequency of
      the radiation. 

      OPTION 2/OPSIE 2
      𝐸𝐸 = ℎ𝑓𝑓 
               = (6,63 x 10-34) (3 x 1016 ) 
                    = 1,99 x 10-17 J 
               𝐸𝐸 > 𝑊𝑊0                 1,99 x 10-17 J     > 2,98 x 10-19 J
           Yes  electrons will be emitted from this metal. 

      OPTION 3/OPSIE 3:
               𝐸𝐸 = 𝑊𝑊0 + 𝐸𝐸𝑘𝑘𝑘𝑘𝑘𝑘𝑘𝑘 
            (6,63 x 10-34) (3 x 1016 )  = 2,98 x 10−19 + 𝐸𝐸𝑘𝑘𝑘𝑘𝑘𝑘𝑘𝑘 
                 𝐸𝐸𝑘𝑘𝑘𝑘𝑘𝑘𝑘𝑘   = 1,96 x 10-17 J 
                  𝐸𝐸 > 𝑊𝑊0                1,96 x 10-17 J     > 2,98 x 10-19 J
           Yes  electrons will be emitted from this metal.                                   (6)

10.4 When UV light shines on metal, energy is transferred to electrons on surface of
     metal . If plate is positive, electrons will be attracted to the plate  as opposite
     charges attract one another 

      OR

      Plate is positive, few electrons are available  to be emitted by the UV light. 
      No change in charge of the plate will be observed. 

                                                                                               (3)
                                                   18

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Wanneer UV lig op die metaal skyn, word energie oorgedra na die elektrone in die
oppervlakte van die metaal. As die plaat positief gelaai is, sal die elektrone
aangetrek word na die plaat toe aangesien teenoorgestelde ladings mekaar
aantrek

OF

Plaat is positief, dus min elektrone beskikbaar om deur die UV lig vrygestel te
word nie. Geen verandering in die lading van die plaat sal waargeneem word nie.
                                                                                   [15]

                                                                       TOTAL:      150

                                    19

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