# Physical Sciences Grade 12 P1 Eastern Cape Mock 2021 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the Eastern Cape Mock Exam 2021 (English), 17 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/phys-sciences-p1-gr12-memo-sept2021-afr-english-b/598747c3-9d9f-44cb-8c29-aea0196e78d1
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Language: English
- Document type: Memorandum
- Year: 2021
- Exam period: Eastern Cape Mock Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 17

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## About this document

Physical Sciences · Grade 12 · Eastern Cape Mock Exam · 2021 · English. Memorandum, 17 pages. Read online or download the PDF.

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                           NATIONAL
                      SENIOR CERTIFICATE/
                       NASIONALE SENIOR
                         SERTIFIKAAT

                       GRADE/GRAAD 12

                      SEPTEMBER 2021

           PHYSICAL SCIENCES P1/
          FISIESE WETENSKAPPE V1
       MARKING GUIDELINE/NASIENRIGLYN

MARKS/PUNTE:    150

                 This marking guideline consists of 17 pages./
                  Hierdie nasienriglyn bestaan uit 17 bladsye.

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2                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1           (EC/SEPTEMBER 2021)

GENERAL GUIDELINES/ALGEMENE RIGLYNE

1.     CALCULATIONS/BEREKENINGE

       1.1    Marks will be awarded for: correct formula, correct substitution, correct
              answer with unit.
              Punte sal toegeken word vir: korrekte formule, korrekte substitusie, korrekte
              antwoord met eenheid.

       1.2    No marks will be awarded if an incorrect or inappropriate formula is used,
              even though there are many relevant symbols and applicable substitutions.
              Geen punte sal toegeken word waar ŉ verkeerde of ontoepaslike formule
              gebruik word nie, selfs al is daar relevante simbole en relevante substitusies.

       1.3    When an error is made during substitution into a correct formula, a mark
              will be awarded for the correct formula and for the correct substitutions, but
              no further marks will be given.
              Wanneer ŉ fout gedurende substitusie in ŉ korrekte formule begaan word,
              sal ŉ punt vir die korrekte formule en vir korrekte substitusies toegeken word,
              maar geen verdere punte sal toegeken word nie.

       1.4    If no formula is given, but all substitutions are correct, a candidate will
              forfeit one mark.
              Indien geen formule gegee is nie, maar al die substitusies is korrek,
              verloor die kandidaat een punt.

       1.5    No penalisation if zero substitutions are omitted in calculations where
              correct formula/principle is correctly given.
              Geen penalisering indien nulwaardes nie getoon word nie in berekeninge
              waar die formule/beginsel korrek gegee is nie.

       1.6    Mathematical manipulations and change of subject of appropriate formulae
              carry no marks, but if a candidate starts off with the correct formula and then
              changes the subject of the formula incorrectly, marks will be awarded for the
              formula and correct substitutions. The mark for the incorrect numerical
              answer is forfeited.
              Wiskundige manipulasies en verandering van die onderwerp van toepaslike
              formules tel geen punte nie, maar indien ŉ kandidaat met die korrekte formule
              begin en dan die onderwerp van die formule verkeerd verander, sal die punte
              vir die formule en korrekte substitusies toegeken word. Die punt vir die
              verkeerde numeriese antwoord word verbeur.

       1.7    Marks are only awarded for a formula if a calculation has been attempted,
              i.e. substitutions have been made or a numerical answer given.
              Punte word slegs vir ŉ formule toegeken indien ŉ poging tot berekening
              aangewend is, d.w.s. substitusies is gedoen of ŉ numeriese antwoord is
              gegee.

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       1.8      Marks can only be allocated for substitutions when values are substituted
                into formulae and not when listed before a calculation starts.
                Punte kan slegs toegeken word vir substitusies wanneer waardes in
                formules ingestel word en nie vir waardes wat voor ŉ berekening gelys is
                nie.

       1.9      All calculations, when not specified in the question, must be done to a
                minimum of two decimal places.
                Alle berekenings, wanneer nie in die vraag gespesifiseer word nie, moet tot
                ŉ minimum van twee desimale plekke gedoen word.

       1.10     If a final answer to a calculation is correct, full marks will not automatically be
                awarded. Markers will always ensure that the correct/appropriate formula is
                used and that workings, including substitutions, are correct.
                Indien ŉ finale antwoord van ŉ berekening korrek is, sal volpunte nie
                outomaties toegeken word nie. Nasieners sal altyd verseker dat die
                korrekte/toepaslike formule gebruik word en dat bewerkings, insluitende
                substitusies korrek is.

       1.11     Questions where a series of calculations have to be made (e.g. a circuit
                diagram question) do not necessarily always have to follow the same order.
                FULL MARKS will be awarded provided it is a valid solution to the problem.
                However, any calculation that will not bring the candidate closer to the
                answer than the original data, will not count any marks.
                Vrae waar ŉ reeks berekeninge gedoen moet word (bv. ŉ stroombaan-
                diagramvraag) hoef nie noodwendig dieselfde volgorde te hê nie.
                VOLPUNTE sal toegeken word op voorwaarde dat dit ŉ geldige oplossing vir
                die probleem is. Enige berekening wat egter nie die kandidaat nader aan
                die antwoord as die oorspronklike data bring nie, sal geen punte tel nie.

2.     UNITS/EENHEDE

       2.1      Candidates will only be penalised once for the repeated use of an incorrect
                unit within a question.
                Kandidate sal slegs een keer gepenaliseer word vir die herhaaldelike
                gebruik van ŉ verkeerde eenheid in ŉ vraag.

       2.2      Units are only required in the final answer to a calculation.
                Eenhede word slegs in die finale antwoord op ŉ vraag verlang.

       2.3      Marks are only awarded for an answer, and not for a unit per se.
                Candidates will therefore forfeit the mark allocated for the answer in each of
                the following situations:
                 Correct answer + wrong unit
                 Wrong answer + correct unit
                 Correct answer + no unit
                Punte sal slegs vir ŉ antwoord en nie vir ŉ eenheid per se toegeken word
                nie. Kandidate sal die punt vir die antwoord in die volgende gevalle verbeur:
                 Korrekte antwoord + verkeerde eenheid
                 Verkeerde antwoord + korrekte eenheid
                 Korrekte antwoord + geen eenheid

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4                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1            (EC/SEPTEMBER 2021)

       2.4    SI units must be used except in certain cases, e.g. V.m-1 instead of N.C-1, and
              cm•s-1 or km•h-1 instead of m•s-1 where the question warrants this.
              SI-eenhede moet gebruik word, behalwe in sekere gevalle, bv. V•m-1 in plaas
              van N•C-1, en cm•s-1 of km•h-1 in plaas van m•s-1 waar die vraag dit regverdig.

3.     GENERAL/ALGEMEEN

       3.1    If one answer or calculation is required, but two are given by the candidate,
              only the first one will be marked, irrespective of which one is correct. If two
              answers are required, only the first two will be marked, etc.
              Indien een antwoord of berekening verlang word, maar twee word deur die
              kandidaat gegee, sal slegs die eerste een nagesien word, ongeag watter een
              korrek is. Indien twee antwoorde verlang word, sal slegs die eerste twee
              nagesien word, ens.

       3.2    For marking purposes, alternative symbols (s, u, t, etc.) will also be accepted.
              Vir nasiendoeleindes sal alternatiewe simbole (s, u, t, ens.) ook aanvaar
              word.

       3.3    Separate compound units with a multiplication dot, not a full stop, for
              example, m•s-1.
              For marking purposes, m•s-1 and m/s will also be accepted.
              Skei saamgestelde eenhede met ŉ vermenigvuldigingspunt en nie met ŉ punt
              nie, byvoorbeeld m•s-1. Vir nasiendoeleindes sal m•s-1 en m/s ook aanvaar
              word.

4.     POSITIVE MARKING/POSITIEWE NASIEN

       Positive marking regarding calculations will be followed in the following cases:
       Positiewe nasien met betrekking tot berekeninge sal in die volgende gevalle geld:

       4.1    Sub-question to sub-question: When a certain variable is calculated in one
              sub-question (e.g. 3.1) and needs to be substituted in another (3.2 of 3.3),
              e.g. if the answer for 3.1 is incorrect and is substituted correctly in 3.2 or 3.3,
              full marks are to be awarded for the subsequent sub-questions.
              Subvraag na subvraag: Wanneer ŉ sekere veranderlike in een subvraag
              (bv. 3.1) bereken word en dan in ŉ ander vervang moet word (3.2 of 3.3), bv.
              indien die antwoord vir 3.1 verkeerd is en word korrek in 3.2 of 3.3 vervang,
              word volpunte vir die daaropvolgende subvraag toegeken.

       4.2    A multistep question of a sub-question: If the candidate has to calculate,
              for example, current in die first step and gets it wrong due to a substitution
              error, the mark for the substitution and the final answer will be forfeited.
              ŉ Vraag met veelvuldige stappe in ŉ subvraag: Indien ŉ kandidaat bv. die
              stroom verkeerd bereken in ŉ eerste stap as gevolg van ŉ substitusiefout,
              verloor die kandidaat die punt vir die substitusie sowel as die finale antwoord.

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(EC/SEPTEMBER 2021)       PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                        5

5.     NEGATIVE MARKING/NEGATIEWE NASIEN

       Normally an incorrect answer cannot be correctly motivated if based on a conceptual
       mistake. If the candidate is therefore required to motivate in QUESTION 3.2 the
       answer given in QUESTION 3.1, and QUESTION 3.1 is incorrect, no marks can be
       awarded for QUESTION 3.2. However, if the answer for e.g. QUESTION 3.1 is
       based on a calculation, the motivation for the incorrect answer could be considered.
       ŉ Verkeerde antwoord, indien dit op ŉ konsepsuele fout gebaseer is, kan
       normaalweg nie korrek gemotiveer word nie. Indien ŉ kandidaat gevra word om in
       VRAAG 3.2 die antwoord op VRAAG 3.1 te motiveer en VRAAG 3.1 is verkeerd, kan
       geen punte vir VRAAG 3.2 toegeken word nie. Indien die antwoord op bv. VRAAG
       3.1 egter op ŉ berekening gebaseer is, kan die motivering vir die verkeerde
       antwoord in VRAAG 3.2 oorweeg word.

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6                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1      (EC/SEPTEMBER 2021)

QUESTION/VRAAG 1:           MULTIPLE-CHOICE QUESTIONS/
                            MEERVOUDIGEKEUSE-VRAE

1.1    C                                                                              (2)

1.2    A                                                                              (2)

1.3    B                                                                              (2)

1.4    D                                                                              (2)

1.5    D                                                                              (2)

1.6    C                                                                              (2)

1.7    A                                                                              (2)

1.8    C                                                                              (2)

1.9    D                                                                              (2)

1.10   B                                                                              (2)
                                                                                       [20]

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  (EC/SEPTEMBER 2021)           PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                                   7

QUESTION/VRAAG 2

2.1.1 When a (non-zero) resultant/net force acts on an object, it accelerates in the
      direction of the force. The acceleration is directly proportional to the force and
      inversely proportional to the mass of the object. 
      Indien ŉ (nie-nul) resultante/netto krag op ŉ voorwerp inwerk, versnel dit in die
      rigting van die krag. Die versnelling is direk eweredig aan die krag en omgekeerd
      eweredig aan die massa van die voorwerp.                                                                    (2)

2.1.2                 OPTION/OPSIE 1                                    OPTION/OPSIE 2
                            N                                               N
                                                  F                                 Fy
                                                                                     cc 
                   f                                                f
                                                             T                                       Fx 
              T

                               w                                                  w
                                                                                                                    (5)

        Accept the following symbols./Aanvaar die volgende simbole:
        N                    FN/Normal/Normaal/Normal force/Normaalkrag
                              Ff / fk / fr / frictional force/wrywingskrag/kinetic frictional force /
        f
                              kinetiese wrywingskrag
                              Fg,/mg/weight/FEarth on block/49 N/gravitational force/gewig/Faarde op blok/
        w
                              gravitasiekrag
        T                    Tension / Spanning / FT / Fs
        Fapplied/toegepas    F / FA / Applied force / Toegepaste krag

        Marks awarded for arrow and label/Punte toegeken vir pyltjie en byskrif.
        Do not penalise for length of arrows since drawing is not drawn to scale.
        Moenie penaliseer vir pyltjie-lengtes nie (diagram is nie volgens skaal nie).
                                                                               3
        Any other additional force(s)/Enige addisionele krag(te)
                                                                               4
                                                                                           3
        If force(s) do not make contact with body.                         Max./Maks.
                                                                                           4
        Indien krag(te) nie kontak maak met voorwerp nie.

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      8                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1              (EC/SEPTEMBER 2021)

2.1.3      OPTION/OPSIE 1                               OPTION/OPSIE 2
           (To the right is positive)                   (To the right is negative)
           (Na regs positief)                           (Na regs negatief)

           Fnet = ma                                    Fnet = ma             Any one 
                                    Any one
           T – f = ma                                   f – T = -ma
                                    Enige een                                Enige 1
           Fcosθ - T – f = ma                           T + f – Fcosθ = -ma
           T – 10 = 2 (2)                              10 – T = 2(-2) 
           T = 14 N                                     T = 14 N
           Fcosθ - T – f = ma                           T + f – Fcosθ = -ma
                                                                         °
                                                        14 + 15 -Fcos20 = 5(-2) 
           Fcos20o – 14 – 15 = 5(2) 
           F = 41,50 N                                 F = 41,50 N                                (5)

2.2            Gm 1m 2
          F=           
                d2
                       (6,67  10-11 )( 5,98  1024 )(200)
          1 842,50  =                                     
                                        d2
          d = 6 579 982,80 m

          distance above earth surface/afstand bo die aardoppervlak =
          6 579 982,80 – 6,38 x 106 
          = 199 982,80 m (1,9998280 x 105 m / 2,00 x 105 m)                                        (5)
                                                                                                   [17]

QUESTION/VRAAG 3

3.1.1 OPTION/OPSIE 1
                 UPWARDS POSITIVE                             UPWARDS NEGATIVE
                OPWAARTS POSITIEF                            OPWAARTS NEGATIEF
       vf2 = vi2 + 2aΔy                             vf2 = vi2 + 2aΔy 
       (-25)2 = (-20)2 + 2(-9,8) Δy                 (25)2 = (20)2 + 2(9,8) Δy 
       Δy = -11,48                                   Δy = 11,48 m 
       Δy = 11,48 m 

          OPTION/OPSIE 2
                    UPWARDS POSITIVE                          UPWARDS NEGATIVE
                    OPWAARTS POSITIEF                        OPWAARTS NEGATIEF
           vf = vi + aΔt                             vf = vi + aΔt
           -25 = -20 + (-9,8)(Δt)                    25 = 20 + (9,8)(Δt)
           Δt = 0,51 s                               Δt = 0,51 s
           Δy = viΔt + ½gΔt2                        Δy = viΔt + ½gΔt2 
           Δy = (-20)(0,51) + ½(-9,8)(0,51)2        Δy = (20)(0,51) + ½(9,8)(0,51)2 
           Δy = -11,47                               Δy = 11,47 m 
            Δy = 11,47 m 

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  (EC/SEPTEMBER 2021)       PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                             9

        OPTION/OPSIE 3
                  UPWARDS POSITIVE                             UPWARDS NEGATIVE
                  OPWAARTS POSITIEF                           OPWAARTS NEGATIEF
        vf = vi + aΔt                                vf = vi + aΔt
        -25 = -20 + (-9,8)(Δt)                       25 = 20 + (9,8)(Δt)
        Δt = 0,51 s                                  Δt = 0,51 s
               v  vi                                       v  vi
        Δy = f          Δt                          Δy = f         Δt 
                  2                                            2
               - 25  (-20)                                 25  20
        Δy =                x 0,51                  Δy =            x 0,51
                    2                                           2
        Δy = -11,48 m                                Δy = 11,48 m 
        Δy = 11,48 m 

         OPTION/OPSIE 4 (ACCEPT/AANVAAR)
                   UPWARDS POSITIVE                UPWARDS NEGATIVE
                  OPWAARTS POSITIEF               OPWAARTS NEGATIEF
         vf = vi + aΔt                   vf = vi + aΔt
         -25 = -20 + (-9,8)(Δt)          25 = 20 + (-9,8)(Δt)
         Δt = 0,51 s                     Δt = 0,51 s
         Δy = lb + ½bh                  Δy = lb + ½bh 
         Δy = 20 x 0,51 + ½(5)0,51      Δy = 20 x 0,51 + ½(5)0,51 
         Δy = 11,48 m                   Δy = 11,48 m                                                  (3)

3.1.2              UPWARDS POSITIVE                             UPWARDS NEGATIVE
                  OPWAARTS POSITIEF                            OPWAARTS NEGATIEF
         vf = vi + aΔt                               vf = vi + aΔt 
         -25 = -20 + (-9,8)(Δt)                      25 = 20 + (-9,8)(Δt) 
         Δt = 0,51 s (time to reach to ground)        Δt = 0,51 s (time to reach to ground)
                      (tyd om die grond te bereik)                 (tyd om die grond te bereik)
         vf = vi + aΔt
         0 = 12 + (-9,8)(Δt)                         vf = vi + aΔt
         Δt = 1,22 s                                  0 = -12 + (9,8)(Δt) 
         (time to reach maximum height)               Δt = 1,22 s
         (tyd om maks hoogte te bereik)               (time to reach maximum height)
         t = 1,22 + 0,51                             (tyd om maks hoogte te bereik)
         t = 1,73 s                                  t = 1,22 + 0,51 
                                                      t = 1,73 s                                       (5)

3.1.3    OPTION/OPSIE 1
         Positive marking from 3.1.1/Positiewe merk vanaf 3.1.1
                    UPWARDS POSITIVE                      UPWARDS NEGATIVE
                   OPWAARTS POSITIEF                     OPWAARTS NEGATIEF
         vf2 = vi2 + 2aΔy                      vf2 = vi2 + 2a 
          2       2
         0 = 12 + 2(-9,8) Δy                   02 = -122 + 2(9,8) Δy 
         Δy = 7,35 m                            Δy = -7,35 m
         Displacement = - 11,48 + 7,35         Displacement = 11,48 + (- 7,35) 
         Verplasing      = - 4,13                   Verplasing = 4,13 m
                         = 4,13 m                               (downwards/afwaarts) 
                         (downwards/afwaarts) 

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10                    PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1       (EC/SEPTEMBER 2021)

      OPTION/OPSIE 2
      Positive marking from 3.1.1/Positiewe merk vanaf 3.1.1
                UPWARDS POSITIVE                       UPWARDS NEGATIVE
               OPWAARTS POSITIEF                      OPWAARTS NEGATIEF
      vf = vi + aΔt                          vf = vi + aΔt
      0 = 12 + (-9,8)(Δt)                    0 = -12 + (9,8)(Δt)
      Δt = 1,22 s                            Δt = 1,22 s
                        2
      Δy = viΔt + ½aΔt                      Δy = viΔt + ½aΔt2 
      Δy = 12 x1,22 + ½ (-9,8)(1,22)2       Δy = (-12)(1,22) + ½ (9,8)(1,22)2 
      Δy = 7,35 m                            Δy = -7,35
      Displacement = - 11,48 + 7,35         Displacement = 11,48 + (- 7,35) 
      Verplasing = - 4,13                    Verplasing     = 4,13 m
                    = 4,13 m                                 (downwards/afwaarts) 
                      (downwards/afwaarts) 

      OPTION/OPSIE 3
      Positive marking from 3.1.1 / Positiewe merk vanaf 3.1.1
                UPWARDS POSITIVE                       UPWARDS NEGATIVE
               OPWAARTS POSITIEF                      OPWAARTS NEGATIEF
      vf = vi + aΔt                          vf = vi + aΔt
      0 = 12 + (-9,8)(Δt)                    0 = -12 + (9,8)(Δt)
      Δt = 1,22 s                            Δt = 1,22 s
             v  vi                                 v  vi
      Δy = f          Δt                    Δy = f         Δt 
                2                                      2
             0  (12)                               0  (-12)
      Δy =             x 1,22               Δy =             x 1,22 
                 2                                      2
      Δy = 7,32 m                            Δy = - 7,32 m
      Displacement = - 11,48 + 7,32         Displacement = 11,48 + (- 7,32) 
      Verplasing = - 4,16                       Verplasing = 4,16 m
                   = 4,16 m                                   (downwards/afwaarts) 
                     (downwards/afwaarts) 

      OPTION/OPSIE 4
      Positive marking from 3.1.1 / Positiewe merk vanaf 3.1.1
                UPWARDS POSITIVE                       UPWARDS NEGATIVE
               OPWAARTS POSITIEF                      OPWAARTS NEGATIEF
      vf = vi + aΔt                          vf = vi + aΔt
      0 = 12 + (-9,8)Δt                      0 = -12 + (9,8)Δt
      Δt = 1,22 s                            Δt = 1,22 s
      Area/oppervlakte = ½bh                Area/oppervlakte = ½bh 
                        = ½ (1,22)(12)                        = ½ (1,22)(-12) 
                        = 7,32 m                               = -7,32 m
      Displacement = - 11,48 + 7,32         Displacement = 11,48 + (- 7,32) 
      Verplasing = - 4,16                    Verplasing = 4,16 m
       = 4,16 m (downwards/afwaarts)                      (downwards/afwaarts)              (4)

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3.2     Positive marking from 3.1.1 and 3.1.2 / Positiewe merk vanaf 3.1.1 en 3.1.2

                Position/Posisie(m)
                                      11,48
                                      m

                                                                                     Time/Tyd(s)
                                                                     1,73
                                                                     m
                                          CRITERIA FOR MARKING/MERK KRITERIA
                                          Correct shape/Korrekte vorm                
                                          Height indicated/Hoogte aangedui (11,48 m) 
                                          Time t indicated/Tyd t aangedui (1,73 s)                                 (3)
                                                                                                                   [15]

QUESTION/VRAAG 4

4.1     In an isolated system total linear momentum is conserved. 
        Die totale lineêre momentum bly behoue in ŉ geïsoleerde/geslote sisteem.                                   (2)

4.2.1   ∑pi = ∑pf
                                                         Any one/Enige een 
        mAviA + mBviB = (mA + mB)vf
        (2 x viA) + (4 x -5) = (2+4)(-1,67) 
        viA = 4,99 m.s-1 (East/Ooswaarts ) 
                                                                                                                   (4)

4.2.2    POSITIVE MARKING FROM                                    POSITIVE MARKING FROM
         4.2.1/Positiewe merk vanaf 4.2.1                         4.2.1/Positiewe merk vanaf 4.2.1
         OPTION/OPSIE 1                                           OPTION/OPSIE 2
         Fnet.∆t = ∆p                                             Fnet.∆t = ∆p
                              Any one                                                  Any one
         Fnet.∆t = m(vf – vi) /Enige een                         Fnet.∆t = m(vf – vi) /Enige een 

         Fnet x 0,01 = 2 (-1,67- 4,99)                          Fnet x 0,01 = 2 [1,67- (-4,99)] 
         Fnet = - 1 332 N                                         Fnet = - 1 332 N
         Fnet = 1 332 N west/left/Wes/links                      Fnet = 1 332 N west/left/Wes/links 

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  12                    PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1          (EC/SEPTEMBER 2021)

        OPTION/OPSIE 3                          OPTION/OPSIE 4
        Fnet = ma                Any one        Fnet = ma
                                                                         Any one
                   v f - vi      /Enige een               v - vi
        Fnet = m (          )                   Fnet = m ( f       )     /Enige een 
                      t                                      t
                     - 1,67 - 4,99                          1,67 - (- 4,99) 
        Fnet = 2 x (               )            Fnet = 2 x (                 )
                          0,01                                  0,01
        Fnet = -1 332                           Fnet = 1 332 N west/left/Wes/links 
        Fnet = 1 332 N west/left/Wes/links 

        OPTION 5/OPSIE 5                        OPTION 6/OPSIE 5
        Fnet.∆t = ∆p                            Fnet.∆t = ∆p
                             Any one /Enige                               Any one /Enige
        Fnet.∆t = m(vf – vi) een                Fnet.∆t = m(vf – vi)       een
        Fnet(0,01)  = 4(-1,67 – -5)           Fnet(0,01)  = 4(1,67 – 5) 
        Fnet = 1 332                            Fnet = -1 332
        FAB = - FBA                             FAB = - FBA
        Fnet(BA) = 1 332 N west/left           Fnet(BA) = 1 332 N west/left 
                                                                                                    (4)
                                                                                                   [10]

QUESTION/VRAAG 5

5.1    Gravitational force / Gravitasiekrag                                                          (1)

5.2            12
       ∆x =          = 24 m
             sin30o
       Wf = f.∆x cos θ 
       Wf = 35,5 x 24 cos 180o 
       Wf = - 852 J                                                                                  (4)

5.3    Zero/0 J                                                                                      (1)

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5.4     Positive marking from 5.2/Positiewe merk vanaf 5.2
        OPTION/OPSIE 1
        Wnet = Ek                                      Any one/Enige een 
        Wf + W F + W Fg = Ek
        f x ∆x cos θ + F xcos θ + mg(h2 – h1) = Ek
        -852  + (62,5 x 24 cos180o)  + m(9,8)(12-0)  = 0
        m = 20 kg 

        OPTION/OPSIE 2
        Wnc = Ep + Ek
        W f + W F = Ep + Ek                          Any one/Enige een 
        f∆xcos θ + F xcos = mg(h2 – h1) + Ek
        -852 + (62,5)(24)cos180o = m(9,8)(0 – 12) + 0
        m = 20 kg 

        OPTION 3/OPSIE 3
        Wnet = Ek
        W f + W F + W w = Ek                         Any one/Enige een 
        f∆xcos θ + F xcos θ + mgΔxcos θ = Ek
        -852  + (62,5)(24)cos180o  + m(9,8)(24)cos60o  = 0
        m = 20 kg                                                                                  (5)
                                                                                                   [11]

QUESTION/VRAAG 6

6.1.1 520 Hz / 520 waves per second (waves.s-1)/golwe per sekondes (golwe.s-1)                    (1)

6.1.2 The change in frequency (or pitch) observed/detected by a listener because the
      listener and the sound source have different velocities relative to the medium of
      sound propagation. 
      Die verandering in frekwensie  (of toonhoogte) waargeneem deur ŉ luisteraar
      want die luisteraar en die klankbron het verskillende snelhede relatief tot die
      medium wat klank voortplant. 
                                             OR/OF
      The (apparent) changed in observed/detected frequency (pitch) as a result of
      relative motion between the sound source and the listener.  
      Die waarskynlike verandering in die waargenome frekwensie (toonhoogte) as
      gevolg van die relatiewe beweging tussen die klankbron en die luisteraar.                  (2)

6.1.3 TOWARDS  Detected frequency is higher than the source frequency 
      NA.  Waargenome frekwensie is hoër as die bron se frekwensie                               (2)

6.1.4       v ± vL
        fL =       fs 
            v ± vs
                      343
        520  =                  (480) 
                   343 - v s

        vs = 26,38 m·s-1                                                                          (5)

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6.1.5 Decreases/Neem af 
      For a constant velocity/speed of sound, if the frequency increases, λ decreases. 
      Vir ŉ konstante snelheid/spoed van klank, indien die frekwensie toeneem, neem λ
      af.
                                            OR/OF

        λα     at constant velocity/speed/by konstante snelheid/spoed 
                                             OR/OF
        f α at constant velocity/speed/by konstante snelheid/spoed                                 (2)

6.2     Light from the star is shifted towards longer wavelength (towards the red end of the
        spectrum) which indicated that the star is moving away from the earth. 
        Lig van die ster skuif na ŉ langer golflengte (na die rooi kant van die spektrum) 
        wat aandui dat die ster wegbeweeg van die aarde af.                                        (2)

6.3     Used to measure the direction and speed of blood flow in arteries and veins. 
        Word gebruik om die rigting en spoed waarteen bloed in are en slagare vloei, te
        meet.
                                             OR/OF
        Used to measure the heartbeat of a foetus in the womb.
        Word gebruik om die hartklop van ŉ fetus in die baarmoeder te meet.                          (1)
                                                                                                    [15]

QUESTION/VRAAG 7

7.1.1 GAIN/BYGEKRY                                                                                 (1)

7.1.2        Q
        n=      
             qe
              5 x 10 -6
        n=             19
                          
            1,6 x 10 -
        n = 3,125 x 1013 (electrons/elektrone)                                                     (3)

7.1.3       kQ
        E=       
             r2
            9 x 109 x 5 x 10 -5
        E=                      
                   0,12 
        E = 4,5 x 106 N.C-1  left/links                                                           (5)

7.2.1 Negative/Negatief 
      Like charges repel each other/Gelyksoortige ladings stoot mekaar af. 
                                            OR/OF
      The charges repel each other. If sphere A is negative, then sphere B must also be
      negative. 
      Die ladings stoot mekaar af. Indien sfeer A negatief is, dan moet sfeer B ook
      negatief wees.                                                                                (2)

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7.2.2 FE = Tsin30o
      FE = 25sin30o 
      FE = 12,5 N
           kQ 1Q 2
      FE =          
             r2
               (9  109 )( 5  10 -6 ) Q
      12,5 =                            
                       0,05 2 
      Q = 6,94 x 10-7 C                                                                      (6)
                                                                                             [17]

QUESTION/VRAAG 8

8.1.1 Temperature/temperatuur 
      Length of the conductors/Lengte van die geleiers      (Any two/Enige twee)
      Thickness of the conductors/Dikte van die geleiers.
      ACCEPT: Type of material
      AANVAAR: Tipe materiaal                                                                 (2)

8.1.2 Gradient is the inverse of the resistance. /
      Gradiënt is die inverse van die weerstand 
                                            OR/OF
      Gradient =                                                                             (1)

8.1.3 Conductor C./Geleier C. 
      It has the highest resistance. The higher the resistance of a conductor,
      the more heat is produced in the conductor if the current is constant. 
      Dit het die hoogste weerstand. Hoe hoër die weerstand, hoe meer hitte
      geproduseer word in die geleier indien die stroom konstant is.                          (2)

8.2.1 R =  
          12
       R=     
          1,5
       R=8Ω                                                                                  (3)

8.2.2 OPTION/OPSIE 1                              OPTION/OPSIE 2
      Rtotal = R + r                              = I(R+ r) 
      [8 = (4 + 3) + r ]                        12 = 1,5 [(4 + 3) + r] 
      r=1Ω                                       r=1Ω                                       (4)

8.2.3 W = I2R∆t 
      W = (1,5)2(3)(180) 
      W = 1 215 J                                                                            (3)

8.3.1 Decrease/Neem af.                                                                      (1)

8.3.2 Increase/Neem toe.                                                                    (1)

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8.4    Increase/Neem toe. 
       Rext decreases. Current through battery increases. 
       W = I2r∆t / Energy transfer to the battery/work done by battery increases. 
       Reks neem af. Stroom deur die battery neem toe. 
       W = I2rΔt / Energie oorgedra aan die battery/arbeid verrig deur die battery neem
       toe.                                                                                                                   (3)
                                                                                                                              [20]

QUESTION/VRAAG 9

9.1     Mechanical energy to electrical energy.
        Meganiese energie na elektriese energie                                                                                (2)

9.2     AC generator has slip rings and DC generator has a split ring / commutator 
        WS-generator het sleepringe en GS-generator het ’n splitring / kommutator                                                (1)

9.3

          Potential Difference (emf)
                                       (V)

          Potensiaalverskil (emk)

                                                        CRITERIA FOR MARKING/MERK KRITERIA
                                                        Correct shape/Korrekte vorm        
                                                        Axes labelled correct/Asse korrek  
                                                        Vmax indicated on graph/
                                                                                           
                                                        Vmaks aangedui op grafiek                                                (2)

9.4     Pave = VrmsIrms                                                       Pgem = VwgkIwgk 
        2000 = Irms x 230                                                     2000 = Iwgk x 230 
        Irms = 8,70 A                                                           Iwgk = 8,70 A
                                       I                                             I
        Irms = max                                                             Iwgk = max
                                           2                                          2
                                           Imax                                       I
        8,70 =                                                                8,70 = max 
                  2                                                                     2
        Imax = 12,30 A                                                           Imaks = 12,30 A                               (4)

9.5                                        Vmax
        Vrms =                                     
                                               2
                                           Vmax
        230 =                                      
                                               2
        Vmax/Vmaks = 325,27 V                                                                                                 (3)
                                                                                                                              [12]

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  (EC/SEPTEMBER 2021)              PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                        17

QUESTION/VRAAG 10

10.1    Work function (of the metal) / Werksfunksie (van die metaal) 
                  hc
        Ek(max) =     – W0 
                   
        The intercept on the vertical axis = W 0.
        Die afsnit op die vertikale-as = Wo 
                                              OR/OF
         hc
             = W 0 + Ek(max) 
         
        The intercept on the vertical axis is equal to the W o
        Die afsnit op die vertikale-as is gelyk aan die Wo                                          (3)

10.2    E = W 0 + Ek(max)
        hf = W 0 + Ek(max)     Any one/Enige een 
        hf = hf0 + Ek(max)
        6,63 x 10-34 x 6,16 x 1014 = 6,63 x 10-34 f0  + 5,6 x 10-20 
        f0 = 5,32 x 1014 Hz                                                                          (5)

10.3.1 Remain the same/Bly dieselfde 
       The gradient is equal to the product of Planck’s constant and the speed of
       light in vacuum which are constants. 
       Die gradient is gelyk aan die produk van Planck se konstante en die spoed
       van lig in ŉ vakuum wat konstantes is.
                                           OR/OF
       Gradient = hc, which are constants/Gradiënt = hc, wat konstantes is.                           (2)

10.3.2 Remains the same/Bly dieselfde 

                  Ek(max) (J)

                                                     Intensity/Intensiteit

                                 CRITERIA FOR MARKING/MERK KRITERIA
                                 Axes labelled/Asse benoem       
                                 Correct shape/Korrekte vorm                                         (3)
                                                                                                     [13]

                                                                             TOTAL/TOTAAL:           150

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