# Physical Sciences Grade 12 Free State Prelim 2024 QP (Afr)

> Grade 12 Physical Sciences question paper from the Free State Prelim Exam 2024 (Afrikaans), 19 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/fsphysicalsciencesp1prepsept2024mgeng-afr/b6949bed-03b5-40bf-b617-1395d1469896
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Question paper
- Year: 2024
- Exam period: Free State Prelim Exam
- Curriculum: CAPS
- Pages: 19

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Physical Sciences · Grade 12 · Free State Prelim Exam · 2024. Question paper, 19 pages. Read online or download the PDF.

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### Page 1

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               PREPARATORY EXAMINATION
               VOORBEREIDENDE EKSAMEN

                            GRADE/GRAAD 12

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

                            SEPTEMBER 2024

                           MARKS/PUNTE: 150

                         MARKING GUIDELINE
                          NASIENRIGLYNE
                    This marking guideline consists of 19 pages.
                    Hierdie nasienriglyne bestaan uit 19 bladsye.

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Physical Sciences P1/Fisiese Wetenskappe V1 2                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

QUESTION/VRAAG 1

1.1     B 
1.2     D 
1.3     A 
1.4     C 
1.5     A 
1.6     C 
1.7     B 
1.8     C 
1.9     A 
1.10    D 
                                                                               [10 x 2 = 20]

QUESTION/VRAAG 2

2.1.1
         Marking criteria/Nasienkriteria:
         If any of the underlined keywords/phrases in the correct context is omitted,
         deduct 1 mark.
         Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
         konteks weggelaat word, trek 1 punt af.

        A body will remain in its state of rest or motion at constant velocity unless
        a non-zero resultant/net force acts on it. 
        'n Liggaam sal in sy toestand van rus of beweging teen konstante snelheid
        bly, tensy 'n nie-nul resulterende/nettokrag daarop inwerk.                   (2)

2.1.2 TA = 12,2 sin 40 
         = 7,84 N                                                                         (2)

2.1.3 POSITIVE MARKING FROM/POSITIEWE NASIEN VANAF 2.1.2
        Fg = TA
           = 7,84 N
                                                                  TA
        Fg = mg                                     Fg
        7,84 = m (9,8) 
        m = 0,8 kg                                          TB                            (3)

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Physical Sciences P1/Fisiese Wetenskappe V1 3                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

2.2.1
         Marking criteria/Nasienkriteria:
         If any of the underlined keywords/phrases in the correct context is
         omitted, deduct 1 mark.
         Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
         konteks weggelaat word, trek 1 punt af.

        The force acting parallel to a surface and opposes the tendency of
        motion of a stationary object relative to the surface.
        Die krag wat parallel met 'n oppervlak inwerk en die neiging van
        beweging van 'n stilstaande voorwerp relatief tot die oppervlak.                   (2)

2.2.2                                        N
                              fs

                                        Fg

                 Acceptable labels/Aanvaarde byskrifte
         N       FN / Fnormal/normaal / Normal force/Normaalkrag
         Fg      Weight/gewig / w / mg / Fgravitation/gravitasie
         fs      static friction/statiese wrywing
         Notes/Nota:
         • Mark is awarded for label and arrow.
         • Do not penalise for the lengths of vectors.
         • If arrows do not touch the dot: Max (2⁄3)
         • Any additional force(s): Max (2⁄3)
         • No arrows drawn with correct labels: Max (2⁄3)

         •   Punt word toegeken vir byskrift en pyl.
         •   Moenie penaliseer vir die lengtes van vektore nie.
         •   As pyle nie aan die punt raak nie: Maks (2⁄3)
         •   Enige bykomende krag(te): Maks (2⁄3)
         •   Geen pyle met korrekte byskrifte nie: Maks (2⁄3)

                                                                                           (3)

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Physical Sciences P1/Fisiese Wetenskappe V1 4                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

2.2.3
        Marking criteria/Nasienkriteria:
        • Any correct formula for/Enige korrekte formule vir Fnet 
        • Correct substitution for/Korrekte substitusie vir Fg// 
        • Correct substitution for/Korrekte substitusie vir fs 
        • Correct final answer./Korrekte finale antwoord. 

        OPTION/OPSIE 1

        + DOWNWARDS/OPWAARTS

        Fnet = ma
        Fg// − fs = ma                  any one/enige een
        (mgsinθ) − (μS ∙ mgcosθ) = 0
        [m(9,8)sin30°] − [(μS )(m)(9,8)(cos30°)] = 0
        4,9 m − 8,49 m(μS ) = 0
        μS = 0,58

        OPTION/OPSIE 2

        + UPWARDS/OPWAARTS

        Fnet = ma
        −Fg// + fs = ma                any one/enige een
        −(mgsinθ) + (μS ∙ mgcosθ) = 0
        [−m(9,8)sin30°] + [(μS )(m)(9,8)(cos30°)] = 0
        −4,9 m + 8,49 m(μS ) = 0
        μS = 0,58

                                                                                          (4)

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Physical Sciences P1/Fisiese Wetenskappe V1 5                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

2.2.4
        Marking criteria/Nasienkriteria:
        • Correct formula for calculating a/Korrekte formule vir berekening
           van a
        • Correct substitution for the whole substitution 
        • Correct formula for calculating/Korrekte formule vir berekening van
           Fnet 
        • Correct substitution for/Korrekte substitusie vir Fg// and/en fk 
        • Correct final answer./Korrekte finale antwoord. 
        OPTION/OPSIE 1

        + DOWNWARDS/AFWAARTS

        ∆y = vi ∆t + ½a∆t 2 
        2,5 = (0)(4) + ½(a)(42 ) 
        a = 0,3125 m ∙ s −2

        Fnet = ma
        Fg// − fk = ma                     any one/
        (mgsinθ) − (μk ∙ mgcosθ) = ma      enige een
        [m(9,8)sin30°] − [(μk) (m)(9,8)(cos30°)] = m(0,3125) 
        4,9 m − 8,49 m(μ𝑘 ) = 0,3125m
        μ𝑘 = 0,54

        OPTION/OPSIE 2

        + UPWARDS/OPWAARTS

        ∆y = vi ∆t + ½a∆t 2 
        −2,5 = (0)(4) + ½(−a)(42 ) 
        a = 0,3125 m ∙ s −2

        Fnet = ma
        −Fg// + f𝑘 = ma                       any one/
          (       )
        − mgsinθ + (μ𝑘 ∙ mgcosθ) = ma        enige een
        [−m(9,8)sin30°] + [(μ𝑘 )(m)(9,8)(cos30°)] = m(0,3125) 
        −4,9 m + 8,49 m(μ𝑘 ) = 0,3125m
        μ𝑘 = 0,54

                                                                                           (5)

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Physical Sciences P1/Fisiese Wetenskappe V1 6                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

2.2.5
                                fsmax
         f (N)
                      fs                         fk

                                                  FA (N)

           Marking criteria/Nasienkriteria
           Showing fs, fs(max) and fk/Toon fs, fs(maks) en fk                   
           Correct labels of f and FA/Korrekte byskrifte f and FA               
           • Correct shape./Korrekte vorm.
           • fs straight line from origin./ fs reguit lyn vanaf oorspring.      
           • fk lower and parallel to x-axis./fk laer en parallel aan x-as.
                                                                                           (3)
                                                                                          [24]

QUESTION/VRAAG 3

3.1
         Marking criteria/Nasienkriteria:
         If any of the underlined keywords/phrases in the correct context is omitted,
         deduct 1 mark.
         Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
         konteks weggelaat word, trek 1 punt af.

        An object which has been given an initial velocity and then it moves
        under the influence of the gravitational force only. 
        'n Voorwerp wat 'n beginsnelheid gegee is en dan beweeg dit slegs
        onder die invloed van die gravitasiekrag.                                          (2)

3.2
         Marking criteria/Nasienkriteria:
         • Any correct answer leading to the distance at which the ball strikes
            the glass roof. 
            Enige korrekte antwoord wat lei tot die afstand waarteen die bal die
            glasdak tref.
         • Correct substitution of/Korrekte substitusie vir vf. 
         • Correct substitution into/ Korrekte substitusie in vi + 2a∆y. 
         • Correct final answer./Korrekte finale antwoord. 
         OPTION/OPSIE 1                     OPTION/OPSIE 2
         + DOWNWARDS/AFWAARTS               + UPWARDS/OPWAARTS

          vf2 = vi2 + 2a∆y                   vf2 = vi2 + 2a∆y
         (7,84𝟐 ) = 02 + 2(9,8)∆y           (7,84𝟐 ) = 02 + 2(−9,8)∆y
         ∆y = 3,14 m                         ∆y = −3,14 m
                                              ∆y = 3,14 m

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Physical Sciences P1/Fisiese Wetenskappe V1 7                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

        OPTION/OPSIE 3                        OPTION/OPSIE 4
        + DOWNWARDS/AFWAARTS                  + UPWARDS/OPWAARTS
        ∆y = vi ∆t + ½a∆t 2            ∆y = vi ∆t + ½a∆t 2 
        ∆y = (0)(0,8) + ½(9,8)(0,8)2  ∆y = (0)(0,8) + ½(−9,8)(0,8)2 
        ∆y = 3,14 m                    ∆y = −3,14 m
                                        ∆y = 3,14 m
        OPTION/OPSIE 5                  OPTION/OPSIE 6

                 v +vf                        Distance = area under the graph
        ∆y = ( i         ) ∆t
                   2                          Afstand =oppervlakte onder die
               0 + 7,84                       grafiek
        ∆y = (          ) 0,8
                  2                           = ½bh
        ∆y = 3,14 m                          = (½)(0,8) (7,84) 
                                              = 3,14 m
                                                                                           (4)

3.3    0,2 s                                                                              (1)

3.4
        Marking criteria/Nasienkriteria:
        • Any correct answer leading to the F net at which the ball strikes the
          glass roof. 
          Enige korrekte antwoord wat lei na die F net waarteen die bal die glasdak tref.
        • Correct substitution of/Korrekte substitusie van vf + vi. 
        • Correct substitution into/Korrekte substitusie in ∆t. 
        • Correct final answer./Korrekte finale antwoord. 
        OPTION/OPSIE 1                             OPTION/ 2

        Fnet ∙ ∆t = ∆𝑝                                 v𝑓= v𝑖 + 𝑎∆t
                    vf − vi       Any one/Enige een   1,53 = 7,84 + 𝑎(0,2)
        Fnet = m (          )
                       ∆t                              𝑎 = −31,55 𝑚 ∙ 𝑠 −2
                        1,53 − 7,84
        Fnet = 0,175 (                )
                              0,2                     Fnet = 𝑚𝑎
        Fnet = −5,52 N                                 = (0,175)(−31,55)
        Fnet = 5,52 N upwards/𝑜𝑝𝑤𝑎𝑎𝑟𝑡𝑠                Fnet = −5,52 N
                                                       Fnet = 5,52 N upwards/𝑜𝑝𝑤𝑎𝑎𝑟𝑡𝑠 

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Physical Sciences P1/Fisiese Wetenskappe V1 8                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

        OPTION/OPSIE 3                                 OPTION/OPSIE 4
        v𝑓= v𝑖 + 𝑎∆t
        1,53 = 7,84 + 𝑎(0,2)                           Fnet ∙ ∆t = ∆𝑝          Any one/
        𝑎 = −31,55 𝑚 ∙ 𝑠 −2                            Fnet ∙ ∆t = m(vf − vi ) Enige een
                                                       Fnet (0,2) = 0,175(1,53 − 7,84)
        ∆x = vi ∆t + ½a∆t 2                            Fnet = −5,52 N
        ∆x = (7,84)(0,2) + ½(−31,55)(0,22 )           Fnet = 5,52 N upwards/𝑜𝑝𝑤𝑎𝑎𝑟𝑡𝑠
        ∆x = −0,937 m

        𝑊𝑛𝑒𝑡 = ∆𝐸𝐾 
        𝐹𝑛𝑒𝑡 ∆𝑥𝑐𝑜𝑠 𝜃 = ½m(𝑣𝑓2 − 𝑣𝑖2 )
        𝐹𝑛𝑒𝑡 (−0,937)𝑐𝑜𝑠 0°
                      = ½(0,175)(1,532
                      − 7,842 )
        Fnet = 5,52 N upwards/𝑜𝑝𝑤𝑎𝑎𝑟𝑡𝑠 
                                                                                          (4)

3.5
        Marking criteria/Nasienkriteria:
        • Any correct answer leading to the speed at which the ball strikes the
           ground. /Enige korrekte antwoord wat lei tot die spoed waarteen die bal
           die grond tref.
        • Correct substitution of/Korrekte substitusie van vi. 
        • Correct substitution to calculate./Korrekte substitusie om vf te bereken. 
        • Correct final answer./Korrekte finale antwoord. 
        OPTION/OPSIE 1                        OPTION/OPSIE 2
        + DOWNWARDS/AFWAARTS                  + UPWARDS/OPWAARTS

        vf = vi + a∆t                            vf = vi + a∆t
        vf = (1,53) + (9,8)(0,7)               vf = (−1,53) + (−9,8)(0,7)
        vf = 8,39 m ∙ s−1                       vf = −8,39 m ∙ s−1
                                                 vf = 8,39 m ∙ s−1 
        OPTION/OPSIE 3                           OPTION/OPSIE 4
        + DOWNWARDS/AFWAARTS                     + UPWARDS/OPWAARTS

        ∆y = vi ∆t + ½a∆t 2                      ∆y = vi ∆t + ½a∆t 2
        ∆y = (1,53)(0,7) + ½(9,8)(0,72 )        ∆y = (−1,53)(0,7) + ½(−9,8)(0,72 ) 
        ∆y = 3,472 m                             ∆y = −3,472 m

        vf2 = vi2 + 2a∆y                         vf2 = vi2 + 2a∆y
        vf2 = (1,53)2 + 2(9,8)(3,472)           vf2 = (−1,53)2 + 2(−9,8)(−3,472) 
        vf = 8,39 m ∙ s−1                       vf = −8,39 m ∙ s−1
                                                 vf = 8,39 m ∙ s−1 
                                                                                           (3)

3.6    Equal/Gelyk                                                                        (1)

3.7    Newton's third law of motion/Newton se derde bewegingswet                          (1)
                                                                                          [16]

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Physical Sciences P1/Fisiese Wetenskappe V1 9                            FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

QUESTION/VRAAG 4

4.1    The total linear momentum in an isolated system is conserved. 
       Die totale lineêre momentum in 'n geïsoleerde sisteem bly behoue.
       (2 or/of 0)                                                                         (2)

4.2
       Marking criteria/Nasienkriteria:
       • Any correct formula for conservation of momentum./Enige korrekte formule vir
         behoud van momentum.
       • Correct substitutions./Korrekte substitusie. 
       • Correct final answer./Korrekte finale antwoord. 

       POSITIVE TO THE RIGHT/POSITIEF NA REGS

                                               ∑pi = ∑pf
                                                                        any one/enige een
                                      mtvit + msvis = (mt + ms)vf
              (45)(1,5) + (5)(-3) = (45 + 5) vf 
                                               vf = 1,05 m∙s-1 right/regs 

       POSITIVE TO THE LEFT/POSITIEF NA LINKS

                                                ∑pi = ∑pf
                                       mtvit + msvis = (mt + ms)vf    Any one/Enige een
              (45)(-1,5) + (5)(3) = (45 + 5) vf 
                                 vf = -1,05 m∙s-1
                                                vf = 1,05 m∙s-1 right/regs 
                                                                                           (4)
                                                                                           [6]

QUESTION/VRAAG 5

5.1    The total mechanical energy in an isolated system is conserved. 
       Die totale meganiese energie in 'n geïsoleerde stelsel bly behoue.
       (2 or/of 0)                                                                         (2)

5.2    Yes/Ja                                                                             (1)

5.3    No friction/Resultant force is zero and thus no loss in energy. 
       Geen wrywing/Resulterende krag is nul en dus geen verlies aan
       energie nie.

       OR/OF

       Only conservative forces are present./Slegs konserwatiewe kragte is
       teenwoordig.

       OR/OF

       Mechanical energy is conserved./Meganiese energie bly behoue.                       (1)

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Physical Sciences P1/Fisiese Wetenskappe V1 10                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

5.4
        Marking criteria/Nasienkriteria:
        • Any correct formula for energy./Enige korrekte formule vir energie. 
        • Correct substitutions./Korrekte substitusies. 
        • Correct final answer./Korrekte finale antwoord. 
        OPTION/OPSIE 1
        ∑EM(A) = ∑EM(D)
        (EK + EP )A = (EK + EP )B                   any one/enige een
        (½mv 2 + mgh)A = (½mv 2 + mgh)B
        0 + (0,4 x 9,8 x 0,8) = (½ x 0,4 x v 2 ) + (0,4 x 9,8 x 0,3)
        vf = 3,13 m ∙ s −1 
        OPTION/OPSIE 2
        Wnc = ∆K + ∆U
                                           any one/enige een
        0 = ½m(vf2 − vi2 ) + mg(hf − hi )
        0 = ½(0,4)(vf2 − 0) + (0,4)(9,8)[0,3 − 0,8]
        vf = 3,13 m ∙ s −1 
        OPTION/OPSIE 3
        𝑊𝑛𝑒𝑡 = ∆𝐸𝐾
        𝑊𝑛𝑒𝑡 = ½m(vf2 − vi2 )      any one/ enige een
                           2  2
        mg∆ycosθ=½m(vf − vi )
        (0,4)(9,8)(0,5)cos0° = ½(0,4)(vf2 − 0)
        vf = 3,13 m ∙ s −1 
                                                                                           (4)

5.5    POSITIVE MARKING FROM/POSITIEWE NASIEN VANAF 5.4
        Marking criteria/Nasienkriteria:
        • Correct formula for work./Korrekte formule vir arbeid. 
        • Correct substitutions./Korrekte substitusies. 
        • Correct final answer./Korrekte finale antwoord. 
        OPTION/OPSIE 1

        Wnet = ∆EK                      any one/enige een
        Wnet = 1⁄2 mvf2 − 1⁄2 mvi2
        f(3) cos 180°  = (0) − 1⁄2 (0,4)(3,13)2 
        f = 0,65 N
        OPTION/OPSIE 2

        Wnc = ∆EK + ∆E𝑝                         any one/enige een
        Wnet = ½m(vf2 − vi2 ) + mg(hf − hi )
        f(3) cos 180°  = ½(0,4)(0 − 3,132 ) + (0,4)(9,8)(0,3 − 0,3)
        f = 0,65 N
                                                                                           (4)
                                                                                          [12]

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Physical Sciences P1/Fisiese Wetenskappe V1 11                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

QUESTION 6

6.1    Frequency/Frekwensie                                                               (1)

6.2
        OPTION/OPSIE 1
        Approaches/Benaderings:

                       V±VL
                fL =          f
                     V±VS S
                      𝐕                any one/enige een
                𝐟𝐋 =     𝐟
                     𝐕−𝐕𝐒 𝐒
                          343
                890 =                f 
                          343−VS S
                890(343 − vS ) = 343fS ………………………... (1)

        Moves Away/Beweeg weg:

                       V±VL
                fL =          f
                     V±VS S any one/enige een
                      𝐕
                𝐟𝐋 =      𝐟
                     𝐕+𝐕𝐒 𝐒
                           343
                760 =         f 
                         343+V S  S
                760(343 + vS ) = 343fS ………………………... (2)

        (1) - (2):

        (305270 − 890vS ) − (260680 + 760vS ) = 0
              vS = 27,02 m ∙ s −1 

        (1) and/en (2) both/beide = 343 fs

        890(343 − vS ) = 760(343 + vS )
              vS = 27,02 m ∙ s −1 

                                                                                            (6)

6.3    POSITIVE MARKING FROM/POSITIEWE NASIEN VANAF 6.2

        OPTION/OPSIE 1                             OPTION/OPSIE 2

        305270 − 890(27,02) = 343fS               260680 + 760(27,02) = 343fS 
        fS = 819,89 Hz                            fS = 819,89 Hz
                                                                                            (2)
                                                                                            [9]

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### Page 12

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Physical Sciences P1/Fisiese Wetenskappe V1 12                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

QUESTION/VRAAG 7

7.1.1
         Marking Criteria/Nasienkriteria:
         If any of the underlined keywords/phrases in the correct context is omitted,
         deduct 1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in
         die korrekte konteks weggelaat word, trek 1 punt af.

        The magnitude of the electrostatic force exerted by one point charge on
        another point charge is directly proportional to the product of the magnitude
        of the charges and inversely proportional to the square of the distance
        between them. 
        Die grootte van die elektrostatiese krag wat uitgeoefen word deur een
        puntlading op 'n ander puntlading is direk eweredig aan die produk van
        die ladings en omgekeerd eweredig aan die kwadraat van die afstand
        tussen hulle.                                                                 (2)

7.1.2 Q1 on Q2 is left./Q1 op Q2 is links. 
      Q3 on Q2 is upwards./Q3 op Q2 opwaarts.                                                (2)

7.1.3

                                     Fnet
                                                       F3on2

                                     F2on1

          Marking criteria/Nasienkriteria:
          • Correct calculation of/Korrekte berekening van F12 /F32
          • Correct formula for Coulomb's law./Korrekte formule van Coulom se wet .
          • Correct substitution of/Korrekte substitusie van F12 / F32
          • Correct calculation for/Korrekte berekening van F12 / F32
          • Correct calculation for/ Korrekte berekening van Q1
          • Correct calculation for/ Korrekte berekening van Q3
          OPTION/OPSIE 1
          F2on1 = Fnet cos 56°
                 = 6,02 × 10−4 cos 59,3°
                 = 3,07 × 10−4 N

                        kQ1 Q 2
              F2on1 =           
                          r2
                                    (9×109 )Q1 (4×10−9 )
             3,07 × 10−4      =                          
                                            (0,015)2
            Q1 = 1,92 × 10−9 𝐶
          ∴ Q 3 = 3 (1,92 × 10−9 )
          = 5,76 × 10−9 C

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### Page 13

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Physical Sciences P1/Fisiese Wetenskappe V1 13                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

          OPTION/OPSIE 2

          F3on2 = Fnet sin 56°
                = 6,02 × 10−4 sin 59,3°
                 = 5,18 × 10−4 N

                         kQ3Q2
               F3on2 =             
                            r2
                                 (9×109 )Q3 (4×10−9)
          5,18 × 10−4  =                   2          
                                       (0,02)
             Q 3 = 5,76 × 10−9 C

          ∴ Q1 = 1⁄3 (5,76 × 10−9 )
          = 1,92 × 10−9 C

          OPTION/OPSIE 3
          Marking criteria/Nasienkriteria:
            • Correct formula for/Korrekte formule vir Fnet 
            • Correct substitution of/Korrekte substitusie van Fnet 
            • Correct substitution of/Korrekte substitusie van F12 
            • Correct substitution of/Korrekte substitusie van F32
            • Correct calculation for/Korrekte berekening van Q1
            • Correct calculation for/Korrekte berekening van Q3

          𝐹𝑛𝑒𝑡 2 = (𝐹12 )2 + (𝐹32 )2
                                            2
               2    kQ1 Q2 2       kQ 3 Q 2        any one/enige een
          𝐹𝑛𝑒𝑡 = ( 2 ) + ( 2 )
                      r              r
                                                           2                                 2
                     −4 2
                            (9 × 109 )Q1 (4 × 10−9 )       (9 × 109 )3Q3 (4 × 10−9 )
          (6,02 × 10 )  = (                        )  + (                         )
                                   (0,015)2                        (0,02)2

          Q1 = 1,92 × 10−9 𝐶

          ∴ Q 3 = 3 (1,92 × 10−9 )
          = 5,76 × 10−9 C

                                                                                               (6)
                                                                                              [10]

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### Page 14

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Physical Sciences P1/Fisiese Wetenskappe V1 14                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

QUESTION/VRAAG 8

8.1.1
         Marking criteria/Nasienkriteria:
         If any of the underlined keywords/phrases in the correct context is omitted,
         deduct 1 mark.
         Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
         konteks weggelaat word, trek 1 punt af.

        The potential difference across a conductor is directly proportional to the
        current in the conductor at constant temperature. 
        Die potensiaalverskil oor 'n geleier is direk eweredig aan die stroom in die
        geleier by konstante temperatuur.

        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 mits die
        temperatuur dieselfde bly.                                                         (2)

8.1.2
         OPTION/OPSIE 1 1                           OPTION 2/OPSIE 2

         1     1     1                                    R1 × R 2
             =    +                                RP =           
         R P R1 R 2                                       R1 + R 2
                  1       1                                13×10
             =       +                                =          
                 7+6     4+6                               13+10
         R P = 5,65 Ω                              R P = 5,65 Ω

                                                                                           (4)

8.1.3 POSITIVE MARKING FROM/POSITIEWE NASIEN VANAF 8.2

         OPTION/OPSIE 1 1                          OPTION 2/OPSIE 2

         ℰ = I(R ext + rint )                            VT
                                                   RT =      
         15 = I(5,65 + 0,45)                              I
          I = 2,46 A                                                 15
                                                   (5,65 + 0,45) =       
                                                                       I
                                                    I = 2,46 A

                                                                                           (3)

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### Page 15

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Physical Sciences P1/Fisiese Wetenskappe V1 15                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

8.1.4 POSITIVE MARKING FROM/POSITIEWE NASIEN VANAF 8.3
        Marking criteria/Nasienkriteria:
        • Correct formula for calculating Vint /Vext /Korrekte formule vir
           berekening Vint /𝑉𝑒𝑥𝑡
        • Correct substitution/Korrekte substutisie 
        • Correct calculation for Vext/Korrekte berekening vir Vext 
        • Correct substitution of I7Ω & 6Ω /Korrekte substutisie van I7Ω & 6Ω
        • Correct substitution of I4Ω & 6/ Korrekte substutisie van I4Ω & 6
        • Correct calculation for VA/Korrekte berekening vir VA 
        • Correct calculation for VB/Korrekte berekening vir VB 
        • Correct calculation for V2/Korrekte berekening vir V2 
        OPTION/OPSIE 1
                         Vint                                    Vext
                    r=                                     R=        
                          I                                       I
                           Vint                                   Vint
                  0,45 =                                 5,65 =        
                          2,46                                    2,46
                   Vint = 1,11 V                          Vext = 13,89 V

                    VT = Vext + Vint
                    15 = Vext + 1,11
                     Vext = 13,89 V

        Current through/Stroom deur               Current through/ Stroom deur
        7𝛀 & 𝟔𝛀                                   4𝛀 & 𝟔𝛀

             V                                         V
        R=                                        R=
             I                                         I
                13,89                                     13,89
          13 =                                   10 =          
                  I                                         I
          I = 1,07 A                                I = 1,39 A

        Potential difference across/              Potential difference across/
        Potensiaalverskil oor 7𝛀                  Potensiaalverskil oor 4𝛀

               V                                       V
        𝑅7𝛺 =                                     R=
               I                                       I
               𝑉                                         𝑉
          7=                                     4 =        
              1,07                                      1,39
          V = 7,49 V                                V = 5,56 V

        VA = 13,89 − 7,49                         VB = 13,89 − 5,56
        = 6,40 V                                  = 8,33 V

                                          V2 = V𝐵 − V𝐴
                                        V2 = 8,33 − 6,40
                                         V2 = 1,93 𝑉

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### Page 16

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Physical Sciences P1/Fisiese Wetenskappe V1 16                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

        OPTION/OPSIE 2
                       Vint                                          Vext
                  r=                                            R=        
                        I                                              I
                         Vint                                          Vint
                0,45 =                                        5,65 =       
                        2,46                                          2,46
                 Vint = 1,11 V                                 Vext = 13,89 V

        Current through/Stroom deur               Current through/Stroom deur
        7𝛀 & 𝟔𝛀                                   4𝛀 & 𝟔𝛀

             V                                           V
        R=                                        R=
             I                                           I
                13,89                                     13,89
          13 =                                   10 =          
                  I                                         I
          I = 1,07 A                                I = 1,39 A

        Potential difference across/              Potential difference across/
        Potensiaalverskil oor 6𝛀                  Potensiaalverskil oor 6𝛀

               V(B)                                   V(A)
        𝑅6𝛺 =                                     R=
                 I                                      I
               𝑉                                         𝑉
          6=                                     6 =       
              1,39                                     1,07
          V = 8,34V                                V = 6,42 V

                                           V2 = V𝐵 − V𝐴
                                        V2 = 8,34 − 6,42
                                           V2 = 1,92 𝑉
                                                                                             (7)

8.2    Increases/Verhoog                                                                    (1)

8.3    Total resistance increases and total current decreases. 
       V lost decreases 
       Totale weerstand neem toe en totale stroom neem af.
       V neem af                                                                             (2)

8.4    Cost/𝐾𝑜𝑠𝑡𝑒 = Energy/𝐸𝑛𝑒𝑟𝑔𝑖𝑒 × Tarrif/𝑇𝑎𝑟𝑖𝑒𝑓 
       250 = (kW × 8 × 30) × 2,55 
       250 = 612 KW
       kW = 0,4084967
       P = 0,4084967 × 1000
       P = 408,4967 W
                                                 408,4967
      Number of bulbs/𝐴𝑎𝑛𝑡𝑎𝑙 𝑔𝑙𝑜𝑒𝑖𝑙𝑎𝑚𝑝𝑒 =                     = 6 bulbs/𝑔𝑙𝑜𝑒𝑖𝑙𝑎𝑚𝑝𝑒  (5)
                                                    60
                                                                                     [24]

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### Page 17

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Physical Sciences P1/Fisiese Wetenskappe V1 17                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

QUESTION/VRAAG 9

9.1.1 X                                                                                   (1)

9.1.2 Change the direction of the magnetic field (turn magnet upside down). 
      Change the direction of the current (turn the battery around).
      Verander die rigting van die magneetveld (draai magneet onderstebo).
      Verander die rigting van die stroom (draai die battery om).                          (1)

9.1.3 Any ONE/Enige EEN
      Increase the strength of the magnetic field (use stronger magnet). 
      Increase the current in the conductor. 
      Increase the thickness of the magnet to increase the length of the
      magnetic field.
      Verhoog die sterkte van die magneetveld (gebruik sterker magneet).
      Verhoog die stroom in die geleier.
      Verhoog die dikte van die magneet om die lengte van die magnetiese
      veld te vergroot.                                                                    (2)

9.2.1
         Marking criteria/Nasienkriteria:
         If any of the underlined keywords/phrases in the correct context is omitted
         deduct 1 mark.
         Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
         konteks weggelaat word, trek 1 punt af.

        The AC potential difference which dissipates/produces the same
        amount of energy as an equivalent DC potential difference. 
        Die WS-potensiaalverskil wat dieselfde hoeveelheid energie
        dissipeer/produseer as 'n ekwivalente GS-potensiaalverskil.                        (2)

        Note: If rms current defined 0⁄2
        Let wel: Indien rms stroom gedefinieer is 0⁄2

9.2.2 AC-slip rings/WS-sleepringe 
      DC- commutator (split ring)/GS-kommutator (splitring)                               (2)

                Vmax/𝑚𝑎𝑘𝑠
9.2.3 Vrms =           
                √2
            460
          =     
             √2
          = 325,27 V                                                                      (3)

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Physical Sciences P1/Fisiese Wetenskappe V1 18                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

9.2.4 POSITIVE MARKING FROM/POSITIEWE NASIEN VANAF 9.2.2

           OPTION/OPSIE 1                          OPTION/OPSIE 2

                  Vmax                                  V
                                                   R = I rms 
           Imax =                                        rms
                    R                                       325,27
                   460
                 = 40                             40 = I           
                                                               rms

                  = 11,5 A                         Irms = 8,13 A

                    I
           Irms = max 
                  √2
                  11,5
                =       
                   √2
                 = 8,13 A 
                                                                                              (4)
                                                                                             [15]

QUESTION/VRAAG 10

10.1   The minimum energy that an electron in the metal needs to bemitted
       from the metal surface. 
       Die minimum energie wat 'n elektron in die metaal nodig het om vanaf
       die metaaloppervlak vrygestel te word. (2 or/of 0)                                     (2)

10.2
        Marking criteria/Nasienkriteria:
        • Correct formula for work/Korrekte formule vir arbeid 
        • Correct substitutions/Korrekte substitusies 
        • Correct final answer/Korrekte finale antwoord 
        OPTION/OPSIE 1

        E = W0 + EK
        hc                any one/enige een
           = W0 + EK
         λ
        (6,63 × 10−34 )(3 × 108 )
                                   = (3,36 × 10−19 ) + EK
             (400 × 10−9 )
        EK = 1,61 × 10−19 J

        OPTION/OPSIE 2

            hc
        E=
             λ
          (6,63 × 10−34 )(3 × 108 )
        =                           
               (400 × 10−9 )
        = 4,97 × 10−4 J

           E = W0 + EK 
        4,97 × 10−4 J = (3,36 × 10−19 ) + EK
        EK = 1,61 × 10−19 J
                                                                                              (3)

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Physical Sciences P1/Fisiese Wetenskappe V1 19                           FS/VS/September 2024
Grade 12 Prep. Exam./Voorb/Eksam.        Marking Guideline/Nasienriglyne

10.3   Remains the same/Bly dieselfde                                                       (1)

10.4   EK = ½mv 2
       1,61 × 10−19 = ½(1,6 × 10−19 ) v 2 
       v = 1,42 m ∙ s −1

       ∆p = m∆v
       = (1,6 × 10−19 )(1,42 − 0) 
       = 2,27 kg ∙ m ∙ s−1                                                                  (4)

10.5   W = dEq                                      F = Eq
       1,61 × 10−19  = d(4,6)(1,6 × 10−19 )                   W
                                                     and/𝑒𝑛 F =
       d = 0,22 m                                              d
                                                     W
                                                       = Eq (both = F)
                                                     d
                                                     ∴ W = dEq
                                                                                             (4)
                                                                                            [16]

                                                                      TOTAL/TOTAAL: 150

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