# Physical Sciences Grade 12 Paper 1 EC June 2019 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the EC June 2019, 24 pages. Read online or get the free PDF download, question paper linked when available.

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- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2019
- Exam period: EC June
- Paper: 1
- Curriculum: CAPS
- Pages: 24

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Physical Sciences · Grade 12 · EC June · 2019. Memorandum, 24 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

                        JUNE/JUNIE 2019

                 PHYSICAL SCIENCES P1
                   MARKING GUIDELINE/
                FISIESE WETENSKAPPE V1
                      NASIENRIGLYN

MARKS/PUNTE:      150

                   This marking guideline consists of 20 pages.
                   Hierdie nasienriglyn bestaan uit 20 bladsye.

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2                      PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1               (EC/JUNE 2019)

 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 sustitusies.

      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 began
          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 verkeerde
          verander, sal die punte vir die formule en korrekte substitusies toegeken
          word. Die punt vir die verkeerde numeriese antwoord word verbeur.

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      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 ŉ
              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
              formule 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 no 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.

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4                      PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                 (EC/JUNE 2019)

 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.

 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.

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(EC/JUNIE 2019)        FISIESE WETENSKAPPE V1/FISIESE WETENSKAPPE VI                              5

      3.3     Separate compound units with a multiplication dot, no 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 in 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 3.1 is incorrect, no
      marks can be awarded for QUESTION 3.2. However, if the answer for e.g.
      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 3.1 is
      verkeerd, kan geen punte vir VRAAG 3.2 toegeken word nie. Indien die
      antwoord op bv. 3.1 egter op ŉ berekening gebaseer is, kan die motivering vir
      die verkeerde antwoord in 3.2 oorweeg word.

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6                      PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1            (EC/JUNE 2019)

 QUESTION/VRAAG 1

 1.1    C                                                                            (2)

 1.2    A                                                                            (2)

 1.3    B                                                                            (2)

 1.4    D                                                                            (2)

 1.5    C                                                                            (2)

 1.6    A                                                                            (2)

 1.7    B                                                                            (2)

 1.8    D                                                                            (2)

 1.9    A                                                                            (2)

 1.10   A                                                                             (2)
                                                                                       [20]

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 QUESTION /VRAAG 2

 2.1      When a net force/resultant force acts on an object, it produces the
          acceleration of the object in the direction of the net force/resultant force.
          This acceleration is directly proportional to the net/resultant force  and
          inversely proportional to the mass of the object. 
          Indien ŉ netto/resulterende krag op ŉ voorwerp inwerk, veroorsaak dit ŉ
          versnelling van die voorwerp in die rigting van die netto/resulterende krag.
          Hierdie versnelling is direk eweredig aan die netto/resultante
          krag  en omgekeerd eweredig aan die massa van die voorwerp.                        (2)

 2.2       OPTION/OPSIE 1                          OPTION/OPSIE 2

                         FN                                  FN        FY
                                FJane               Ff                 FJane
             Ff                 
            T                                       T
                                                    
                         Fg                                          Fg 
                                                                     
          Mark awarded for both arrow and label./Punt toegeken vir beide pylpunt en
          byskrif.
          Do not penalise for length of forces since drawing is not drawn to scale.
          Moenie penaliseer vir lengte van kragte want diagram is nie volgens skaal
          nie.
          Any other additional force(s)/Enige addisionele krag(te)
          If force(s) do not make contact with body/Indien krag(te) nie kontak maak
          met voorwerp nie. Max./Maks.
                                                                                               (5)

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8                      PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                      (EC/JUNE 2019)

 2.3   Choose East (Right) to be positive/Kies Oos (regs) as positief.
       4 kg box/-houer

       Fnet = ma
       Fx + fk + T = ma                      Any one / Enige een
       Fx - fk - T = ma
       FJaneCos30° + fk + T = ma

       80x0,866 + (-8,14) + (-T) = 4a
       69,28 – 8,14 – T = 4a
       61,14 – T = 4a -------- (1)

       5 kg box/-houer
       Fnet = ma
       T + W = ma
       T + (-9,8x5) = 5a
       T – 49 = 5a
            T - 49
       a=          ------(2)
               5
       Subst (2) in (1):/Stel (2) in (1):
                        T-49 
       61,14 – T = 4         
                        5 
       305,7 – 5 T = 4 T – 196
       9 T = 501,7
       T = 55,74 N                                                                             (5)
                                                                                               [12]
 QUESTION/VRAAG 3

 3.1   Each body in the universe attracts every other body with a force that is
       directly proportional to the product of their masses and inversely
       proportional to the square of the distance between their centres. 
       Elke liggaam in die heelal trek elke ander liggaam aan met ŉ krag wat direk
       eweredig is aan die produk van hulle massas en omgekeerd eweredig
       aan die kwadraat van die afstand tussen hulle middelpunte.                              (2)

 3.2                 OPTION/OPSIE 1                          OPTION/OPSIE 2
              G m 1m 2                                       GMm
        F =                                          gm =       
                r2                                            Rm
                               11           22
                 6,67 x 10 x 7,35 x 10 m2                    6,67 x1011 x 7,35 x1022
        126,30=                                        =                              
                         (1,74 x 106 )2                           (1,74 x104 )2
        m2 = 78,00 kg                                  = 1,619252874
                                                           w = mg
                                                      126,30 = m x 1,619252874 
                                                           m = 78,00 kg                        (4)
                                                                                                [6]

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 QUESTION/VRAAG 4

 4.1    Projectile motion is the motion of an object upon which the only force acting
        is the force of gravity. 
        Projektielbeweging is die beweging van ŉ voorwerp waarop die enigste
        krag wat daarop inwerk, gravitasiekrag is. 
                                            OR/OF
        Projectile motion is the motion of an object that experiences only
        gravitational force. 
        Projektielbeweging is die beweging van ŉ voorwerp wat slegs
        gravitasiekrag ondervind.                                                              (2)

 4.2     OPTION/OPSIE 1
         (upwards positive)                        (downwards positive)
         (opwaarts positief)                       (afwaarts positief)
         vf = vi + g∆t                            vf = vi + g∆t 
         0 = (13) + (-9.8 ). ∆t                   0 =(-13) + (9.8) .∆t 
          ∆t = 1,33 s                               ∆t = 1,33 s                                (3)

         OPTION/OPSIE 2
         (upwards positive)                       (downwards positive)
         (opwaarts positief)                      (afwaarts positief)
         vf2 = vi2 + 2a∆y                        vf2 = vi2 + 2a∆y 
         02 = 132 + 2 (-9,8) ∆y                   02 = -132 + 2 (9,8) ∆y
         ∆y = 8,62244898 m                        ∆y = - 8,62244898 m
                  v f  vi                               v f  vi
         ∆y =              ∆t                     ∆y =            ∆t
                      2                                      2
                                0  13                                 0  13
         8,62244898 =                  ∆t        -8,62244898 =               ∆t 
                                  2                                      2
           ∆t = 1,33 s                             ∆t = 1,33 s                                 (3)

         OPTION/OPSIE 3
         (upwards positive)                        (downwards positive)
         (opwaarts positief)                       (afwaarts positief)
         vf2 = vi2 + 2g∆y                         vf2 = vi2 + 2g∆y 
         02 = 132 + 2 (-9,8) ∆y                    02 = -132 + 2 (9,8) ∆y
         ∆y = 8,62244898 m                         ∆y = 8,62244898 m
                     1                                         1
         ∆y = vi∆t +   g∆t2                        ∆y = vi∆t +    g∆t2
                     2                                         2
                        1                                           1
         8,62 = 13 ∆t + (- 9,8) ∆t2               -8,62 = -13 ∆t + (9,8) ∆t2 
                        2                                           2
           ∆t = 1,33 s                             ∆t = 1,33 s                                 (3)

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10                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                 (EC/JUNE 2019)

 4.3    OPTION/OPSIE 1
        (upwards positive)                     (downwards positive)
        (opwaarts positief)                    (afwaarts positief)
        vf 2 = vi2 +2 g∆y                     vf 2 = vi2 +2 g∆y 
        02  = (13)2 + 2 (-9,8) ∆y            02  = (-13)2 + 2 (9,8) ∆y 
        ∆y = 8,62 m                           ∆y = 8,62 m 

        OPTION/OPSIE 2
        (upwards positive)                     (downwards positive)
        (opwaarts positief)                    (afwaarts positief)
                    1                                     1
        ∆y = vi∆t +   g∆t2                    ∆y = vi∆t +   g∆t2 
                    2                                     2
                          1                                       1
           = 13(1,33)  +    (-9,8)(1,33)2      = -13(1,33)  +    (9,8)(1,33)2 
                          2                                       2
           = 8,62 m                             = -8,62 m
                                                 = 8,62 m, (upwards/opwaarts) 

        OPTION/OPSIE 3
        (upwards positive)                     (downwards positive)
        (opwaarts positief)                    (afwaarts positief)
             v f  vi                               v f  vi
        ∆y =          ∆t                      ∆y =          ∆t 
                 2                                      2
             0  13                                0  13
           =          x 1,33                   =           x 1,33 
                2                                    2
           = 8,65 m                             = -8,65 m
                                                 = 8,65 m                                   (4)

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 4.4 4.4.1        OPTION/OPSIE 1
                                   Taking top of building as starting point /
                                    Neem toppunt van gebou as beginpunt
                  (upwards positive)                    (downwards positive)
                  (opwaarts positief)                   (afwaarts positief)
                  vf = vi + a∆t                        vf = vi + a∆t 
                  vf = 0 + (-9,8)(3,28 - 1,33)         vf = 0 + (9,8)(3,28 - 1,33) 
                                     -1
                  vf = -19,11 m.s                       vf = 19,11 m.s-1 
                                  -1
                  vf = 19,11 m.s 

                  OPTION/OPSIE 2
                                        Taking balcony as a starting point
                                           Neem balkon as beginpunt
                  (upwards positive)                    (downwards positive)
                  (opwaarts positief)                   (afwaarts positief)
                  vf = vi + a∆t                        vf = vi + a∆t 
                  vf = -13 + (-9,8)(3,28 - 1,66)       vf = 13 + (9,8)(3,28 – 2,66) 
                                     -1
                  vf = -19,08 m.s                       vf = 19,08 m.s-1 
                                  -1
                  vf = 19,08 m.s                                                                      (3)

        4.4.2     OPTION/OPSIE 1
                  (upwards positive)                   (downwards positive)
                  (opwaarts positief)                  (afwaarts positief)
                                 1                                    1
                  ∆y = h = vi∆t +   a∆t2              ∆y = h = vi∆t +  a∆t2 
                                 2                                    2
                                   1                                    1
                  h = -13(0,62) + (-9,8)(0,62)2      h = 13(0,62)  +   (9,8)(0,62)2 
                                   2                                    2
                  h = - 9,94 m                          = 9,94 m 
                  Height of building/Hoogte van        Height of building/Hoogte van
                  gebou                                gebou
                  = h + ∆y                             = h + ∆y
                  = 8,62 + 9,94                       = 8,62 + 9,94 
                  = 18,56 m                           = 18,56 m 

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12                     PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                (EC/JUNE 2019)

        OPTION/OPSIE 2
        (upwards positive)                     (downwards positive)
        (opwaarts positief)                    (afwaarts positief)
        vf2 = vi2 + 2a∆y                      vf2 = vi2 + 2a∆y 
        (-19,11)2 = (-13)2 + 2(-9,8)(∆y1)    (-19,11)2 = (-13)2 + 2(-9,8)(∆y1)
        h = ∆y = 10,01 m                      h = ∆y = 10,01 m 
        Height of building/Hoogte van gebou    Height of building/Hoogte van
        = ∆y + h                               gebou
        = 8,62+ 10,01                         = ∆y + h
        = 18,62 m                             = 8,62+ 10,01 
                                               = 18,62 m 

        OPTION/OPSIE 3
        (upwards positive)                     (downwards positive)
        (opwaarts positief)                    (afwaarts positief)
        vf2 = vi2 + 2a∆y                      vf2 = vi2 + 2a∆y 
        (-19,08)2 = (-13)2 + 2(-9,8)∆y        (-19,08)2 = (-13)2 + 2(-9,8)∆y 
        h = ∆y = 9,95 m                       h = ∆y = 9,95 m 
        Height of building/Hoogte van gebou    Height of building/Hoogte van
        = ∆y + h                               gebou
        = 8,62+ 9,95                          = ∆y + h
        = 18,57 m                             = 8,62+ 9,95 
                                               = 18,57 m                                 (6)
                                                                                         [18]
 QUESTION/VRAAG 5

 5.1   Downwards / Afwaarts                                                              (1)

 5.2   Two (times) OR 2 (times)
       Twee (keer) OF 2 (keer)                                                           (1)

 5.3   Elastic / Elasties                                                                (1)

 5.4   4 s  and / en 8 s                                                                (2)

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(EC/JUNIE 2019)        FISIESE WETENSKAPPE V1/FISIESE WETENSKAPPE VI                                 13

 5.5    Positive marking from QUESTION 5.4 / Positiewe merk vanaf
        VRAAG 5.4

                    Position-time graph / Posisie-tyd grafiek

            8

         ∆x
         (m)

            0
                        2            4            6                 8        ∆t (s)
                                  (Max. height 1)                  (Max. height 2)
                                 (Maks. hoogte 1)                 (Maks. hoogte 2)

                  Criteria for graph / Kriteria vir die grafiek            Marks/Punte

         The height from which the ball was dropped                               
         Hoogte van waar bal laat val is
         The times when the ball was at its maximum height – 4 s                  
         and 8 s
         Die tye wanneer die bal sy maksimum hoogte bereik – 4 s
         en 8 s
         Shape of the graph/Vorm van die grafiek                                              (3)
                                                                                               [8]

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14                      PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                  (EC/JUNE 2019)

 QUESTION/VRAAG 6

 6.1   The total linear momentum of an isolated system is conserved. 
       Die totale lineêre momentum van ŉ geïsoleerde sisteem bly behoue. 
                                           OR/OF
       In an isolated system the total linear momentum before collision is equal to
       the total linear momentum after collision. 
       In ŉ geïsoleerde sisteem is die totale lineêre momentum voor ŉ botsing
       gelyk aan die totale lineêre momentum na ŉ botsing.                                 (2)

 6.2    pi = pf                          
       mvviv + mcvic = mvvfv +mcvfc
                             80000
       1500 x 30 + 1200 x           = 1500 vfv + 1200 x 25 
                              3600
       vfv = 27,78 m.s-1  in the same direction / in dieselfde rigting.                    (5)

 6.3            OPTION/OPSIE 1                             OPTION/OPSIE 2
        ∆p = mvf - mvi                         ∆p = mvf - mvi 
        ∆p = 1200 x 25 – 1200 x
                                    80000
                                               ∆p = 1500 x 27,78 – 1500 x 30 
                                     3600       ∆p = -3330 kg.m.s-1
        ∆p = 3333,33 kg.m.s-1                   ∆p = 3330 kg.m.s-1
        In the direction of the motion          In the direction of the motion
        In dieselfde rigting as beweging       In dieselfde rigting as beweging            (3)

 6.4    Eki = m vic2 + mviv2 
                           80000 2
        Eki = x 1200 x (         )+     x 1500 x 302 
                            3600
        Eki = 971296,30 J

        Ekf = m vfc2 + mvfv2
        Ekf = x 1200 x (25)2+      x 1500 x 27,782 
        Ekf = 953796,30 J

        Eki     Ekf 

       Collision is inelastic / Botsing is onelasties                                       (5)
                                                                                            [15]

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(EC/JUNIE 2019)        FISIESE WETENSKAPPE V1/FISIESE WETENSKAPPE VI                                 15

 QUESTION/VRAAG 7

 7.1     To the right / na regs 
         For momentum to be conserved:
          momentum of trolley B = momentum of trolley A.
          momentum of B must be in an opposite direction to the momentum of
            trolley A 
         Vir momentum om behoue te bly:
          momentum van trollie B = momentum van trollie A.
          momentum van trollie B is in die teenoorgestelde rigting as die
            momentum van trollie A.                                                          (3)

 7.2     Let right/East be positive/Laat regs/Oos positief wees

         Σpi = Σpf
         mAvAi + mBvBi = mAvAf + mBvBf          Any one / Enige een
         (mA + mB) vi = mAvAf + mBvBf
         (0,5 + 0,75) x 0  = 0,5 x (-2,5) + 0,75vBf 
         vBf = 1,66 m.s-1 (to the right/East)/(na regs/oos)                                   (4)

 7.3.1     21,5 N 
           According Newton’s Third law of motion,  when the wall exerts a force
           on the trolley, the trolley simultaneously exerts a force (of 21,5 N) on the
           wall but in an opposite direction. 
           Volgens Newton se Derde Bewegingswet,  indien die muur ŉ krag op
           die trollie uitoefen, oefen die trollie gelyktydig ŉ krag (van 21,5 N) op die
           muur maar in die teenoorgestelde rigting. 

            NOTE: If learners just state Newton’s third law without using it
                  to explain, no marks will be awarded
            LET WEL: As leerders net Newton’s se derde wet sê sonder
                       om teverduidelik, sal geen punte toegeken word.
                                                                                               (3)

 7.3.2     Fnet ∆t = m ∆v
           Fnet ∆t = m ∆(vAf - vAi)       Any one / enige

           -21,5 x 0,1 = 0,5(vAf – 2,5) 
           -2,15 = 0,5 vAf – 1,25
           vAf = -1,8 m.s-1
           vAf = 1,8 m.s-1 (to the left/west)(na links/wes)                                  (5)

 7.3.3     Remains the same. / Bly dieselfde. 
           When the contact time increases, the net force decreases.
           Indien die kontaktyd toeneem, verminder die netto krag.                            (3)
                                                                                               [18]

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16                        PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1               (EC/JUNE 2019)

 QUESTION/VRAAG 8

 8.1   The (total) mechanical energy of an isolated system is conserved.
       Die (totale) meganiese energie van ŉ geïsoleerde sisteem bly behoue.                 (2)

 8.2   OPTION/OPSIE 1                            OPTION/OPSIE 2
       MEB = MEC                                 Wnc = ∆Ek + ∆Ep
       (EP + EK)B = (EP + EK)C                 
                                                 0 = m vf2 - m vi2 + mgh2 – mgh1 
       (mgh + m v2)B = (mgh + m v2)B
                                                 0 =0 - (0,2)vi2 + 0,2(9,8)(1,2) – 0 
       0+    (0,2)vi2  = 0,2(9,8)(1,2)+ 0      Vi = 4,85 m.s-1 
                     -1
       Vi = 4,85 m.s                                                                         (4)

 8.3    OPTION/OPSIE 1            OPTION/OPSIE 2             OPTION/OPSIE 3
              v v                vf = vi + a∆t              vf = vi + a∆t
        ∆x = f i ∆t 
                 2                4,85 = 6 + a x 0,82        4,85 = 6 + a x 0,82
         =
           6  4,85
                    x 0,82       a = - 1,40 m.s-2           a = - 1,40 m.s-2
               2                                1
            = 4,45 m             ∆x = vi∆t + a∆t2          vf2 = vi2 + 2a∆x 
                                               2
                                  = 6x0,82 + 0,5xax0,822    4,852 = 62 + 2(-1,4) ∆x 
                                  = 4,45 m                  ∆x = 4,46 m 
                                                                                              (3)
                                                                                              [9]

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(EC/JUNIE 2019)          FISIESE WETENSKAPPE V1/FISIESE WETENSKAPPE VI                             17

 QUESTION/VRAAG 9

 9.1    The net work done on an object is equal to the change in the kinetic energy
        of the object. 
        Die netto arbeid verrig op ŉ voorwerp is gelyk aan die verandering in die
        kinetiese energie van die voorwerp. 
                                            OR/OF
        The amount of work done by a net force  on object is equal to the change in
        the object’s kinetic energy. 
        Die hoeveelheid arbeid wat deur ŉ netto krag verrig word op ŉ voorwerp  is
        gelyk die verandering in die voorwerp se kinetiese energie.                              (2)

 9.2                    OPTION/OPSIE 1                          OPTION/OPSIE 2

                  FN          Fapp                                 FN          Fapp 

                                                         Ff 
              Ff 
                              Fg 
                                                      Fg// 
                                                                           Fg┴
                                                                                                  (4)
        Mark awarded for both the arrow and label
        Punt toegeken vir beide pylpunt en byskrif.
        Do not penalise for length of forces since drawing is not drawn to scale.
        Moenie penaliseer vir lengte van kragte want diagram is nie volgens skaal nie.
        Any other additional force(s)/Enige addisionele krag(te)
        If force(s) do not make contact with body/Indien krag(te) nie kontak maak met
        voorwerp nie. Max./Maks.

 9.3    OPTION/OPSIE 1
        Wnet = ∆EK                 Any one / Enige een
        Wnet = WApp + W// + Wf
        WApp + W// + Wf = ∆EK
        260(8)Cos0°) + 0,16(25)(9,8)(Cos40°)(8)(Cos180°) +
                                              1
        25(9,8)(sin40°)(8)(Cos180°)  =         (25)vf2 – 0 
                                              2
        2080 – 240,23 -1259,86 = 12,5 vf²
        579,91 = 12,5 vf2
        vf = 6,81 m.s-1 

        OPTION/OPSIE 2

        Wnc = ∆EK+ ∆Ep
        Wapp + Wf = ∆EK+ WFg            Any one / Enige een 

        260(8)(cos0°) + 0,16(25)(9,8)(Cos40°)(8)(cos180°) =
                                             1
        25(9,8)(Sin40°)(8)(cos180°) +         (25)vf2 – 0 
                                             2
        vf = 6,81 m.s-1                                                                          (6)

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18                         PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                (EC/JUNE 2019)

 9.4      OPTION/OPSIE 1                            OPTION/OPSIE 2
                 (v i + v f )                             v f  vi
          ∆x =                  ∆t                  vav =
                      2                                       2
             (0 + 6,81)                                   0  6,81
          8=            ∆t                         vav =          
                  2                                            2
          ∆t = 2,35 s                               vav = 3,405

                 W                                  Pav = F.vAv 
          P=                                       Pav = 260 x 3,405
                 ∆t
                                                     = 885,3 W 
          P = 2080 
               2,35
           = 885,11 W                                                                              (4)
                                                                                                   [16]

 QUESTION/VRAAG 10

 10.1.1    Doppler effect is the change in frequency (or pitch) of the sound detected 
           by a listener, because the sound source and the listener have different
           velocities relative to the medium of sound
           propagation .
           Die Doppler-effek is die verandering in frekwensie (of toonhoogte) van die
           klank wat deur die waarnemer waargeneem word  omdat die bron van die
           klank en die luisteraar verskillende snelhede het relatief tot die medium van
           die klank. 
                                               OR/OF
           Doppler effect is the apparent change in frequency of a wave when there
           is relative motion between the source and an observer .
           Die Doppler-effek is die skynbare verandering in die frekwensie van ŉ golf 
           wanneer daar relatiewe beweging tussen die bron en luisteraar is. 
                                               OR/OF

           Doppler Effect is an (apparent) change in observed/detected frequency
           (pitch), (wavelength)  as a result of the relative motion between a source
           and an observer (listener) 
           Die Doppler-effek is die (skynbare) verandering in die waargenome
           frekwensie (toonhoogte)(golflengte)  as gevolg van die relatiewe beweging
           tussen ŉ bron en ŉ luisteraar.                                                             (2)

 10.1.2    750 Hz                                                                                     (1)

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(EC/JUNIE 2019)            FISIESE WETENSKAPPE V1/FISIESE WETENSKAPPE VI                            19

 10.1.3 1) Waves are compressed as Khosi moves towards the source. 
        2) Wavelength become shorter. 
        3) Wavelength is inversely proportional to frequency, hence the detected
           frequency is higher. 
        1) Golwe word saamgepers soos Khosi na die bron beweeg. 
        2) Golflengte word korter. 
        3) Golflengte is omgekeerd eweredig aan frekwensie, dus is die
           waargeneemde frekwensie hoër.                                                          (3)

 10.1.4
                                

             When Khosi approaches:/ (Terwyl Khosi nader beweeg):

                        340  vL
             750  =             fs 
                          340
                  750 x 340
             fs =             …… (1)
                   340  vL

             When the Khosi moves away: (Terwyl Khosi wegbeweeg):

                           340  vL
             700  =                fs 
                             340
                       700 x 340
             fs =                ……… (2)
                        340  vL
             (1) = (2) :

             750 x 340   700 x 340
                       
              340  vL    340  vL
             750(340 – vL) = 700(340 + vL)
             1450vL = 17000
             VL = 11,72 m.s-1                                                                     (6)

                         OPTION/OPSIE 1                  OPTION/OPSIE 2
                                                                     
                          750 x 340                    700 x 340
                  fs   = 340  11,72
                                              fs =
                                                      340  11,72
                                                                  

              fs = 725,01 Hz                  fs = 724,99 Hz                                     (3)

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20                          PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1               (EC/JUNE 2019)

 10.2.1              Away/Weg van 
                     It shows a red shift. / Dit toon ŉ rooi verskuiwing. 
                     Frequency is decreasing. / Frekwensie neem af. 
                     Wavelength becomes longer. / Golflengte word langer.                      (4)

 10.2.2     The universe is expanding. / Die heelal is besig om uit te sit.                     (1)
                                                                                                [20]

 QUESTION/VRAAG 11

 11.1     The force per unit positive charge./
          Die krag per eenheid positiewe lading.                                               (2)

 11.2     E=
                 kQ
                 r2                   Any one/Enige een
          Enet = E1 + E2

                 9 x109 x 6 x106      9 x109 x 4 x10 6
          0                      (                    )
                    (0,2  x)2               x2
          x = 0,09 m                                                                            (6)
                                                                                                 [8]

                                                                        TOTAL/TOTAAL:           150

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