# Physical Sciences Grade 12 P1 Eastern Cape Mock 2020 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the Eastern Cape Mock Exam 2020, 18 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/physical-sciences-p1-gr12-memo-gr12-sept2020-a-e/6806f8f9-0b21-4e67-a9e7-bd0c32f0e649
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2020
- Exam period: Eastern Cape Mock Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 18

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## About this document

Physical Sciences · Grade 12 · Eastern Cape Mock Exam · 2020. Memorandum, 18 pages. Read online or download the PDF.

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### Page 1

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                             NATIONAL
                        SENIOR CERTIFICATE/
                         NASIONALE SENIOR
                           SERTIFIKAAT

                          GRADE/GRAAD 12

                         SEPTEMBER 2020

           PHYSICAL SCIENCES P1/
          FISIESE WETENSKAPPE V1
       MARKING GUIDELINE/NASIENRIGLYN

MARKS/PUNTE:   150

                     This marking guideline consists of 18 pages./
                     Hierdie nasienriglyn bestaan uit 18 bladsye.

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2                   PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1               (EC/SEPTEMBER 2020)

 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.

       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.

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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                          3

       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
       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.

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4                   PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                  (EC/SEPTEMBER 2020)

 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    Subquestion to subquestion: When a certain variable is calculated in one
              subquestion (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 subquestions.
              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 the a subquestion: 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.

 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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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                    5

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

 1.1    C                                                                              (2)

 1.2    C                                                                              (2)

 1.3    A                                                                              (2)

 1.4    D                                                                              (2)

 1.5    A                                                                              (2)

 1.6    B                                                                              (2)

 1.7    D                                                                              (2)

 1.8    B                                                                              (2)

 1.9    D                                                                              (2)

 1.10   C                                                                               (2)
                                                                                         [20]

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6                    PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                 (EC/SEPTEMBER 2020)

 QUESTION/VRAAG 2

 2.1 When a 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 resulterende/netto krag op ŉ voorwerp inwerk, versnel die voorwerp in
     die rigting van die krag. Die versnelling is direk eweredig aan die krag en
     omgekeerde eweredig aan die massa van die voorwerp.                                        (2)

 2.2
        OPTION 1/OPSIE 1                         OPTION 2/OPSIE 2
              N
                                                                 N                     T
                                          T

                                                            f
                f
                                                      W//                   W┴
                           W
                                                                                                  (4)

       Mark awarded for arrow and label. / Punt toegeken vir byskrif en pyltjie.
       Do not penalise for length of arrows since drawing is not drawn to scale./
       Moenie vir die lengte van die pyltjies penaliseer nie, aangesien die skets nie
       volgens skaal geteken is nie.
                                                                  3
       Any other additional force(s) / Enige addisionele kragte
                                                                  4
       If force(s) do not make contact with body. / Indien die kragte nie kontak maak
                                           3
       met die voorwerp nie. Max./Maks.
                                           4

 2.3 OPTION 1 (To the right is                 OPTION 2 (To the right is negative)
     positive)                                 OPSIE 2 (Na regs is negatief)
     OPSIE 1 (Na regs is positief)
      Fnet = ma                                Fnet = ma
      Fnet = 0 N           Any one /           Fnet = 0 N                Any one /
     Fg – T = ma          Enige een           T - Fg = ma               Enige een 
     15 x 9,8 - T = 0                         T – 15 x 9,8 = 0 
     T = 147 N                                 T = 147 N

       T – Wsin θ – f = ma                     Wsin θ + f – T = ma
       T – mgsin θ – f = ma                    mgsin θ + f – T = ma
       147– 22 x 9,8sin θ – 43,86 = 0         22 x 9,8 sin θ + 43,86 – 147  = 0
       θ = 28,58°                             θ = 28,58°                                        (4)

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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                     7

2.4 2.4.1 The kinetic friction force depends on the angle of the inclined to the
          horizontal and nature of the surface. 
          Die kinetiese wrywingskrag is afhanklik van die hoek van die skuinsvlak
          met die horisontaal en die aard van die oppervlakte.                              (2)

     2.4.2 Positive marking from Question 2.3 /       Marking criteria / Merk kriteria
           Merk positier vanaf Vraag 2.3
           For 15 kg block / Vir 15 kg-blok           Fnet = ma
           Fnet = ma                                 F - Fg – T = ma
           F - Fg – T = ma                            T + Wsin θ – f = ma Any one /
           172 – 147 – T = 15a …(1)                                           Enige een 
                                                      T + mgsin θ – f = ma
                                                      Calculating Fg//
             For 22 kg block / Vir 22 kg-blok         Berekening van Fg// 
             T + W sinθ– f = ma                       Substitution for the 15 kg block
             T + mg sinθ– f = ma                      Instelling vir die 15 kg-blok 
             [T + 22 x 9,8 sin 28,58o – 43,86] =    Substitution for the 22 kg block
             22a                                     Instelling vir die 22 kg-blok 
             [T + 101,14 – 43,86] = 22a (2)           Substitution for either 15a or 22a
                                                      Instelling vir 15a of 22a 
             ∴ a = 2,278 m.s-2                       Answer/Antwoord                     (6)
                                                                                          [18]

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8                   PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1          (EC/SEPTEMBER 2020)

QUESTION/VRAAG 3

3.1 UPWARD POSITIVE                          UPWARD NEGATIVE
    OPWAARTS POSITIEF                        OPWAARTS NEGATIEF
    vf = vi + a∆t                           vf = vi + a∆t 
    vf = -3,28 + (-9,8) x 1,2               vf = 3,28 + (9,8) x 1,2 
    vf = - 15,04                             vf = 15,04 m.s-1 downwards/afwaarts 
    vf = 15,04 m.s-1 downwards/afwaarts                                                   (3)

3.2 OPTION/OPSIE 1
    UPWARD POSITIVE                       UPWARD NEGATIVE
    OPWAARTS POSITIEF                     OPWAARTS NEGATIEF
                1                                      1
    ∆y = vi ∆t + a∆t2                    ∆y = vi∆t+ a∆t2 
                2                                      2
                        1                                    1
    ∆𝑦 = -3,28 x 1,2 + (-9,8)1,22       ∆y = 3,28 x 1,2 + (9,8)1,22 
                       2                                     2
    ∆y = -10,99                           ∆𝑦 = 10,99 m downwards/afwaarts 
    ∆y = 10,99 m downwards/afwaarts 
    OPTION /OPSIE 2
    Positive marking from Question 3.1/Positiewe merk vanaf Vraag 3.1
    UPWARD POSITIVE                       UPWARD NEGATIVE
    OPWAARTS POSITIEF                     OPWAARTS NEGATIEF
    vf = vi + 2a∆y 
      2    2
                                          vf2 = vi2 + 2a∆𝑦 
    -15,04  = -3,28 + 2 (-9,8) ∆y 
            2        2
                                          15,042 = 3,282 + 2 (9,8) ∆y 
    ∆y = 10,99 m downwards/afwaarts      ∆y= 10,99 m downwards/afwaarts 

     OPTION/OPSIE 3
     Positive marking from Question 3.1/Positiewe merk vanaf Vraag 3.1
     UPWARD POSITIVE                       UPWARD NEGATIVE
     OPWAARTS POSITIEF                     OPWAARTS NEGATIEF
          v  vi                                v  vi
     ∆y = f      Δt                       ∆y = f       Δt 
             2                                     2
          -15,04 + ( 3,28)                    15,04 + 3,28 
     ∆y =                   x 1,2         ∆y =               x 1,2 
                  2                                    2
     ∆y = -10,99 m                         ∆y = 10,99 m downwards/afwaarts 
     ∆y = 10,99 m downwards/afwaarts                                                      (4)

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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                     9

3.3 OPTION 1/OPSIE 1
    UPWARD POSITIVE                           UPWARD NEGATIVE
    OPWAARTS POSITIEF                         OPWAARTS NEGATIEF
    vf2= vi2 + 2a∆y                          vf2= vi2 + 2a∆y 
    vf2= -3,282 + 2 (-9,8) (30)              vf2= 3,282 + 2 (9,8) (30) 
    vf2= - 24,47 m.s-1                        vf2= 24,47 m.s-1 downwards/afwaarts 
    vf2= 24,47 m.s-1 downwards/afwaarts 

     OPTION 2/OPSIE 2
     UPWARD POSITIVE                          UPWARD NEGATIVE
     OPWAARTS POSITIEF                        OPWAARTS NEGATIEF
                  1                                        1
     ∆y = vi∆t+ a∆t2                          ∆y = vi∆t+ a∆t2
                 2                                        2
                       1                                      1
     -30 = -3,28∆𝑡 + (-9,8)∆𝑡 2               30 = 3,28∆𝑡 + (9,8)∆𝑡 2
                       2                                      2
     ∆𝑡 = 2,16 s                              ∆t = 2,16 s
     vf = vi + a∆t                           vf = vi + a∆t 
     vf = -3,28 + (-9,8)(2,16)               vf = 3,28 + (9,8)(2,16) 
     vf= -24,45 m.s-1                         vf = 24,45 m.s-1 downwards/afwaarts 
     vf = 24,45 m.s-1 downwards/afwaarts                                                     (3)

3.4 Positive marking from Question 3.2/Positiewe merk vanaf Vraag 3.2
    UPWARD POSITIVE                      UPWARD NEGATIVE
    OPWAARTS POSITIEF                    OPWAARTS NEGATIEF
    Fnet.∆t = m(vf - vi)                Fnet. ∆t = m(vf - vi) 
     205 x 0,1 = 0,5 [𝑣𝑓 – (- 24,47)]   -205 x 0,1  = 0,5 (vf– 24,47)] 
    vf= 16,53 m.s upwards/opwaarts 
                   -1                    vf= -16,53 m.s-1
                                         vf = 16,53 m.s-1 upwards/opwaarts                   (4)

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10                  PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1          (EC/SEPTEMBER 2020)

3.5 OPTION 1/OPSIE 1
    Positive marking from Question 3.1 and 3.3
    Positiewe merk vanaf Vraag 3.1en 3.3
    UPWARD POSITIVE                       UPWARD NEGATIVE
    OPWAARTS POSITIEF                     OPWAARTS NEGATIEF
    vf = vi + 2a∆y 
      2    2
                                          vf2= vi2 + 2a∆y 
    0  = 16,53 + 2 (-9,8) ∆y 
     2           2
                                          02  = -16,532 + 2 (9,8) ∆y 
    ∆y = 13,94 m                          ∆y = - 13,94 m
    width of window / wydte van venster   width of window / wydte van venster
    = 30 – (10,99+13,94)                 = 30 – (10,99 +13,94) 
    = 5,07 m                             = 5,07 m 

     OPTION 2/OPSIE 2
     Wnet = ∆Ek
     Fnet ∆y cos θ = ∆Ek                  Any one/Enige een 
                    1     1
     Fg∆y cos θ = mvf2 - mvi2
                    2     2
                            1
     4,9 ∆ycos 180o = 0 - x 0,5 x 16,532 
                            2
     ∆y = 13,94 m
     width of window / wydte van venster
     = 30 – (10,99 + 13,94) 
     = 5,07 m                                                                              (5)
                                                                                           [19]

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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                            11

 QUESTION/VRAAG 4

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

 4.2 4.2.1      MEi = MEf
                mgh1 + ½ mvi2 = mgh2 + ½ mvf2
                0 + ½ x 2,005 x vi2 = 2,005 x 9,8 x 0,06 + 0 
                vi = 1,08 m.s-1
                ∑pi = ∑pf
                                                                        Any one/Enige een 
                mblockviblock + mbulletvibullet = (mblock + mbullet) vf
                0 + 0,005 x vibullet = 2,005 x 1,08 
                vbullet = 433,08 m.s-1 right/regs                                                (5)

       4.2.2    Positive marking from Question 4.2.1/Positiewe merk vanaf
                Vraag 4.2.1
                ∑pi = ∑pf
                (mgun + mbullet)vi = mgunvfgun + mbulletvfbullet = Any one/Enige een 
                0 = 5 x vf(gun)+ 0,005 x 433,08 
                vf(gun= - 0,43 m.s-1
                vf(gun = 0,43 m.s-1 left/links                                                    (3)
                                                                                                  [10]

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12                  PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1               (EC/SEPTEMBER 2020)

 QUESTION/VRAAG 5

 5.1 In an isolated system the total mechanical energy is conserved. 
     In ’n geïsoleerde sisteem bly die totale meganiese energie behoue.                        (2)

 5.2 MEi = MEf
     (Ep + Ek)A = (Ep + Ek)B             Any one/Enige een 
     mgh1 + Ek(A) = mgh2 + Ek(B)
     55 x 9,8 x 15 + 0 = 0 + Ek(B) 
     Ek(B) = 8085 J                                                                             (3)

 5.3 The net work done on an object is equal to the object’s change in kinetic
     energy. 
                                             OR
     The work done by a net force is equal to the object’s change in kinetic energy. 
     Die netto arbeid verrig op ŉ voorwerp is gelyk aan die voorwerp se verandering
     in kinetiese energie. 
                                             OF
     Die arbeid verrig deur ŉ netto krag is gelyk aan die voorwerp se verandering in
     kinetiese energie.                                                               (2)

 5.4 5.4.1 Positive marking from Question 5.2/Positiewe merk vanaf Vraag 5.2
           OPTION 1/OPSIE 1
           Wner = ∆Ek
           Wf + WFg// = ∆Ek                          Any one/Enige een 
           f x ∆x cos θ + mgsin θ ∆x cos θ = ∆Ek
           15 x 10 cos180o  + 55 x 9,8 sin 15o x 10 cos 180o  = 0 – Eki
           Eki = 1545,035 J 
              OPTION 2/OPSIE 2
              Wnc = ∆Ek + ∆Ep
              Wf = ∆Ek + ∆Ep            Any one/Enige een 
              f x ∆x cos θ = ∆Ep + ∆Ek
              15 x 10 cos180o = [55 x 9,8 x (10 sin15o)] - 0 + 0 - Eki
              -150 = 1395,035 - Eki
              Eki = 1545,035 J 
              OPTION 3/OPSIE 3
              Wner = ∆Ek
              Wf + WFg = ∆Ek                           Any one/Enige een 
              f x ∆x cos θ + mg ∆xcos θ = ∆Ek
              15 x 10 cos180o  + 55 x 9,8 x 10 cos (90 + 15)  = 0 – Eki
              Eki = 1545,035 J                                                                  (4)

      5.4.2 OPTION 1/OPSIE 1                             OPTION 2/OPSIE 2
            Wnet = ∆Ek                                   Wnc = ∆Ek + ∆Ep
            Wf = ∆Ek            Any one/Enige een        Wf = ∆Ek + ∆Ep           Any one/
            f x ∆x cos θ = ∆Ek                          f x ∆x cos θ = ∆Ek + ∆Ep Enige een 
            f x 10 cos180o  = 1545,035  - 8085        f x 10 cos180o = 1545,035 
            654,00 N                                    - 8085 
                                                         f = 654,00 N                   (5)
                                                                                        [16]

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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                      13

 QUESTION/VRAAG 6

 6.1 Doppler effect/Doppler effek                                                              (1)

 6.2 AWAY.  The observed frequency is less than the source frequency. 
     WEG VAN.  Die waargenome frekwensie is minder as die bron se
     frekwensie.                                                                               (2)

 6.3 As the listener’s velocity increases, the observed frequency decreases. 
     As die luisteraar se snelheid toeneem, verminder die waargenome
     frewensie.                                                                               (2)

 6.4 The intercept on the vertical axis represents the frequency of the source, fs. 
     Die afsnit op die vertikale as verteenwoordig die frekwensie van die bron, fs.           (2)

 6.5 OPTION 1/OPSIE 1                       OPTION 2/OPSIE 2
                        492  470                v ± vL
     Gradient/Helling =                    fL =        fs 
                           5  20                v ± vs
                          22                          340  15
                      =                     492 =            x fs
                          15                             340
                          f                 fs = 499,34 Hz 
                      = - s 
                          v
        22       fs
          = -     
        15      340
     fs = 498,67 Hz 

      OPTION 3/OPSIE 3
           v ± vL
      fL =        fs 
           v ± vs
                 340  15
       470 =             x fs
                   340
      fs = 499,38 Hz 
      Range (498,67 Hz – 499,38 Hz)                                                             (5)

 6.6 OPTION 1/OPSIE 1           OPTION 2/OPSIE 2              OPTION 3/OPSIE 3
     v = fλ                     v = fλ                        v = fλ
     340 = 498,67 λ            340 = 499,34 λ               340 = 499,38 λ 
     𝜆 = 0,68 m                𝜆 = 0,68 m                   𝜆 = 0,68 m 
     The wavelength             The wavelength produced       The wavelength
     produced by the tuning by the tuning fork is less        produced by the tuning
     fork is less than the      than the required             fork is less than the
     required wavelength.       wavelength.                   required wavelength.
     ∴ It is not suitable.     ∴ It is not suitable.        ∴ It is not suitable. 
     Die golflengte wat         Die golflengte wat            Die golflengte wat
     voortgeplant word deur voortgeplant word deur die        voortgeplant word deur
     die stemvurk is minder stemvurk is minder as die         die stemvurk is minder as
     as die benodigde           benodigde golflengte.         die benodigde golflengte.
     golflengte.                                              ∴ Dit is nie geskik nie. 
     ∴ Dit is nie geskik nie.  ∴ Dit is nie geskik nie.                                       (3)
                                                                                               [15]

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14                  PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1              (EC/SEPTEMBER 2020)

QUESTION/VRAAG 7

7.1        Q
      n=      
           qe
           2 x 106
      n=             
          1,6 x1019
      n = 1,25 x 1013                                                                          (3)

7.2

        Criteria for marking/Kriteria vir merk
        Correct shape / Korrekte vorm                                
        Direction of electric field / Rigting van elektriese veld    
        Lines not crossing each other / Lyne sny nie mekaar nie.                               (3)

 7.3 7.3.1 vf = vi + a∆t 
           6,25 x 103 = 0 + 2 x 10-3 a                             Any one /Enige een 
           a = 3,125 x 106 m.s-2
           Fnet = ma
           Fnet = 5 x 10-6 x 3,125 x 106 
           Fnet = 15,625 N
                       Fnet
              Enet =        
                        q
                       15,625
              Enet =            
                       2 x10 6
              Enet = 7,81 x 106 N.C-1                                                          (6)

       7.3.2 Positive marking from Question 7.3.1/Positiewe merk vanaf Vraag 7.3.1
             OPTION 1/OPSIE 1                 OPTION 2/OPSIE 2
                 kQ                           vf 2 = vi2 + 2a Δx 
             E= 2 
                  r                           (6,25 x 103)2 = 02 + 2(3,125 x 106)Δx 
                          9 x109 x 2 x 106   Δx = 6,25 m 
             7,81 x 106 =         2
                                            
                                    r
              ∴ r = 4,80 x 10-2 m 

              Using equations of motion / Gebruik van bewegingsvergelykings

              OPTION 3/OPSIE 3                    OPTION/OPSIE 4
              Δx = ½(vf + vi) Δt                 Δx = vi Δt + ½ a Δt² 
                 = ½(6,25 x 103+ 0)(2 x 10-3)       = 0 + ½(3,125 x 106)(2 x 10-3)² 
              Δx = 6,25 m                        Δx = 6,25 m                                  (3)

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(EC/SEPTEMBER 2020)          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                    15

       7.3.3 Positive marking from Question 7.3.1 and 7.3.2
             Positiewe merk vanaf Vraag 7.3.1en 7.3.2
             OPTION 1/OPSIE 1                    OPTION 2/OPSIE 2
                  kQ1Q2                               kQ1Q2
             FE =     2
                                                FE =        
                    r                                   r2
                        9 x109 x Q x 2 x 10 6   15,625 = (9 x 109)(Q1)(2 x 10-6)
             15,625 =                                            6,25² 
                            4,80 x 102 
                                           2

                                                 ∴ Q = 3,39 x 10-2 C 
             ∴ Q = 2,00 x 10-6 C                                                             (4)
                                                                                             [19]

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16                  PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1              (EC/SEPTEMBER 2020)

 QUESTION/VRAAG 8

 8.1 Resistance/Weerstand                                                                    (1)

 8.2 8.2.1                          4,2 
                                         0,2
               Gradient/Helling =             
                                      24  0
                                   1
                                =
                                   6
                                     1
                                =
                                   emf
                              1    1
                                = 
                             emf 6
                            ∴ emf = 6 V                                                      (4)

      8.2.2    Positive marking from Question 8.2.1/Positiewe merk vanaf Vraag
               8.2.1
               OPTION 1/OPSIE 1                 OPTION 2/OPSIE 2
                                             r  𝜀 = I (R + r ) 
               Intercept on vertical axis =
                                            emf       1
                                                6=       (24 + r ) 
                        r                            4,2
               0,2 =      
                      emf                       r = 1,2 Ω 
                      r
               0,2 = 
                      6
               r = 1,2 Ω                                                                     (3)

 8.3 8.3.1     OPTION 1/OPSIE 1                   OPTION 2/OPSIE 2
               P = VI                                V2
                                                  P=
               3 = I x 1,5                           R
               I=2A                                 1,5 2
                                                  3=
                                                      R
                                                  R = 0,75 Ω
                                                  P = I2 R 
                                                  3 = I2 x 0,75 
                                                  I=2A                                       (3)

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(EC/SEPTEMBER 2020)               PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                         17

       8.3.2    Positive marking from Question 8.2.1en 8.2.2
                Positiewe merk vanaf Vraag 8.2.1en 8.2.2
                OPTION 1/OPSIE 1               OPTION 2/OPSIE 2
                        V2                                  V2
                P=                                   P=
                      R toy car                           R toy car
                       1,52                                1,52
                3=                                  3=             
                      R toy car                           R toy car
                Rtoy car = 0,75 Ω                    Rtoy car = 0,75 Ω
                emf = I (Rext + r )                 emf = I (Rext + r) 
                6 = 2 (Rext + 1,2)                  6 = 2 (Rext + 1,2) 
                Rext = 1,8 Ω                         Rext = 1,8 Ω
                Rext = Rtoy car + Rp                 Rext = Rtoy car + Rp
                1,8 = 0,75 + Rp                     1,8 = 0,75 + Rp 
                Rp = 1,05 Ω                          Rp = 1,05 Ω
                 1 1 1                                        R1 R2
                    = +                              Rp =
                Rp R1 R2                                     R1 +R2
                  1  1 1                                      3x R
                    = +                             1,05 =        
                1,05 3 R                                      3 +R
                R = 1,62 Ω                          R = 1,62 Ω                                      (6)

 8.4 No,  the external resistance will increase. Current will decrease. 
     P = I2R, P 𝛼 I2 since resistance remain constant, power will decrease. 
     Nee,  die eksterne weerstand sal toeneem. Stroom sal afneem. 
     P = I2R, P 𝛼 I2 aangesien die weerstand constant bly sal die drywing afneem.                    (3)
                                                                                                     [20]

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18                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                (EC/SEPTEMBER 2020)

 QUESTION/VRAAG 9

 9.1 (Electric) motor/ (Elektriese) motor                                                         (1)

 9.2 Electrical energy to mechanical energy 
     Elektriese energie  na meganiese energie                                                    (2)

 9.3 CLOCKWISE / KLOKSGEWYS                                                                       (1)

 9.4 Replace the split ring with slip rings. 
     Replace the cell with a resistor / ammeter / voltmeter. 
     Vervang die split ring met sleepringe 
     Vervang die sel met ‘n resistor / ammeter / voltmeter.                                       (2)
                       2
 9.5 9.5.1           Vrms
              Paverage    
                      R
                    2302
              1500=       
                     R
              R = 35,27 Ω                                                                         (3)

      9.5.2 OPTION 1/OPSIE 1                  OPTION 2/OPSIE 2
               V                              Paverage = VrmsIrms
            R = rms                           1 500 = Irms x 230 
                Irms
                                              Irms = 6,52 A
                        2302                        I
              35,27 =         
                         Irms                 Irms = max 
                                                        2
              Irms = 6,52 A                             𝐼𝑚𝑎𝑥
                                              6,52 =           
                       Imax                             √2
              Irms =                         𝐼𝑚𝑎𝑥 = 9,22 A 
                         2
                        Imax
              6,52 =              
                              2
              Imax = 9,22 A                                                                       (4)
                                                                                                  [13]

                                                                          TOTAL/TOTAAL:           150

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