# Physical Sciences Grade 12 P1 Eastern Cape June 2021 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the Eastern Cape June 2021 (Afrikaans), 14 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/phys-sc-p1-memo-gr12-june2021-afrik-english/51075955-8380-4def-a361-3f9b02ab715c
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Language: Afrikaans
- Document type: Memorandum
- Year: 2021
- Exam period: Eastern Cape June
- Paper: 1
- Curriculum: CAPS
- Pages: 14

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Physical Sciences · Grade 12 · Eastern Cape June · 2021 · Afrikaans. Memorandum, 14 pages. Read online or download the PDF.

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### Page 1

NATIONAL
                        SENIOR CERTIFICATE/
                            NASIONALE
                        SENIOR SERTIFIKAAT

                         GRADE/GRAAD 12

                         JUNE/JUNIE 2021

PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1
     MARKING GUIDELINE / NASIENRIGLYN
          (EXEMPLAR/EKSEMPLAAR)

MARKS/PUNTE:   150

                     This marking guideline consists of 14 pages./
                      Hierdie nasienriglyn bestaan uit 14 bladsye.

### Page 2

2                   PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1                (EC/JUNE/JUNIE 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 verkeerde 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 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.

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(EC/JUNE/JUNIE 2021)         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/JUNE/JUNIE 2021)

 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, 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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(EC/JUNE/JUNIE 2021)         PHYSICAL SCIENCES P1 /FISIESE WETENSKAPPE V1                    5

 QUESTION/VRAAG 1

 1.1     B                                                                                  (2)

 1.2     C                                                                                  (2)

 1.3     C                                                                                  (2)

 1.4     D                                                                                  (2)

 1.5     A                                                                                  (2)

 1.6     C                                                                                  (2)

 1.7     B                                                                                  (2)

 1.8     A                                                                                  (2)

 1.9     D                                                                                  (2)

 1.10    B                                                                                 (2)
                                                                                          [20]

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

 QUESTION/VRAAG 2

 2.1 When object A exerts a force on object B, object B simultaneously exerts an
     oppositely directed force of the same magnitude on object A.
     Wanneer voorwerp A ŉ krag op voorwerp B uitoefen, oefen voorwerp B ŉ krag
     gelyk in grootte en in teenoorgestelde rigting op voorwerp A uit.                        (2)

 2.2    OPTION 1/OPSIE 1                    OPTION 2/OPSIE 2

                              FA on/op B           FN           FA on/op B
                   FN

                                                  Ff
                 Ff
                                                                   Fg
                                                    Fg     for both
                            Fg                           components/vir
                                                         beide komponente
                                                                                              (4)

 2.3 Data:
     MB = 25 kg
     fB = 15 N
     a = 1,5 m.s-2
     FA on B = ?
     FB on A = ?

       Fnet = ma
       FA on B + fB + Fg = ma             Any one/Enige een
       FA on B + fB + mgSin35°= ma
       FA on B + (- 15) + (- 25x9,8x0,574) = 25x1,5
       FA on B – 155,63 = 37,50
       FA on B = 193,13 N
       FB on A = - FA on B
       FB on A = - 193,13 N
       FB on A = 193,13 N down the slope/ teen die helling af                                 (6)

 2.4 Fnet = ma
     FNceba + FB on A + fA + Fg = ma             Any one/Enige een
     FNceba + FB on A + fA + mgSin35°= ma
     FNceba + (- 193,13) + (- 4,5) + (- 10x9,8x0,574) = 10x1,5
     FNceba – 253,88 = 15
     FNceba = 268,88 N                                                                        (4)
                                                                                             [16]

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

 QUESTION/VRAAG 3

 3.1 When a net/resultant force acts on an object of mass m, the object
     accelerates in the direction of the net force. The accelereation is directly
     proportional to the net force and inversely proportional to the mass.
     Wanneer ’n netto krag op ’n voorwerp inwerk, versnel die voorwerp in die
     rigting van die netto krag. Die versnelling is direk eweredig aan die netto
     krag en omgekeerd aan die massa van die voorwerp.                                       (2)

 3.2 Fnet = ma
     Fg + FN + FY = ma                    Any one/Enige een
     Fg + FN + Fa Sin40° = ma
       Fg + (-623,3) + (-500Sin40°) = mx0
       Fg - 623,3 – 321,39 = 0
       Fg = 944,69 N
       mg = 944,69
       mx9,8 = 944,69
       m = 96,40 kg                                                                          (5)

 3.3 For 96,4 kg box / vir 96,4 kg houer

       Fnet = ma
       FX + fk + T = ma                 Any one/Enige een
       Fa Cos40° + f + T = ma
       500 Cos40° + (-115) +(- T)       = 96,4a
       383,02 – 115 – T = 96,4a
       268,02 - T = 96,4a
       T = 268,02 – 96,4a .............. (1)

       For 15 kg box / vir 15 kg houer

       Fnet = ma
                         Any one/Enige een
       Fg + T = ma
       mg + T = ma
       -15x9,8 + T = 15a
       -147 + T = 15a         (Substitute/Stel in vir T)

       -147 + (268,02 – 96,4a) = 15a
       121,02 = 111,40a
       a = 1,09 m.s-2                                                                        (7)
                                                                                            [14]

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

 QUESTION/VRAAG 4

 4.1 It (projectile) is an object upon which the only force acting is the force of
     gravity.
     Dit (projektiel) is ’n voorwerp waarop die enigste krag wat daarop inwerk, die
     gravitasiekrag is.
                                           OR/OF
     Projectile is an object that experiences only gravitational force.
     Projektiel is ’n voorwerp wat slegs die gravitasiekrag ondervind.                      (2)

 4.2    OPTION 1 /OPSIE 1
        (upwards positive)                    (downwards positive)
        (opwaarts positief)                   (afwaarts positief)
        vf2 = vi2 + 2gΔy                      vf2 = vi2 + 2gΔy
        02 = 52 + 2 (-9,8) Δy                 02 = (-5)2 + 2 (9,8) Δy
        Δy = 1,28 m                           Δy = -1,28 m
                                              Δy = 1,28 m, (upward)
        OPTION 2/OPSIE 2
        (upwards positive)                    (downwards positive)
        (opwaarts positief)                   (afwaarts positief)
        vf = vi + g∆t                         vf = vi + g∆t
        0 = (5) + (-9,8 ). ∆t                 0 = (5) + (-9,8 ). ∆t
        ∴∆t = 0,51 s                          ∴∆t = 0,51 s
        Δy = viΔt + 1 gΔt2                    Δy = viΔt + 1 gΔt2
                     2                                    2
           = (5)(0,51) + 1 (- 9,8) (0,51)2        = (-5)(0,51) + 1 (9,8)(0,51)2
                         2                                       2
        ∴Δy = 1,28 m                          Δy = - 1,28 m
                                              ∴Δy = 1,28 m, (upwards)                       (3)

 4.3 The maximum height reached by ball A (Δymax)
     Die maksimum hoogte bereik deur bal A ( Δymax)      = 1,28 + 5 = 6,28 m

       Maximum height reached by ball B is given by:
       Makisum hoogte bereik deur bal B is:

       (upwards positive)                    (downwards positive)
       (opwaarts positief)                   (afwaarts positief)
       vf2 = vi2 + 2gΔy                      vf2 = vi2 + 2gΔy
       02 = 82 + 2 (-9,8) Δy                 02 = (-8)2 + 2 (9,8) Δy
       ΔyB = 3,27 m                          Δy = -3,27 m
                                             ΔyB = 3,27 m, (upward)
       Since ΔyB < Δymax
       OR 3,27 m < 6,28 m                    Since ΔyB < Δymax
       ∴ Ball B did not reach the maximum    OR 3,27 m < 6,28 m
       height.                               ∴ Ball B did not reach the maximum
       ∴ Bal B het nie die maksimum          height.
       hoogte bereik nie.                    ∴ Bal B het nie die maksimum hoogte
                                             bereik nie.                                    (5)

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

 4.4 (upwards positive)                      (downwards positive)
     (opwaarts positief)                     (afwaarts positief)
     vf = vi + g∆t                           vf = vi + g∆t
     0 = (5) + (-9,8 ). ∆t                   0 = (5) + (-9,8 ). ∆t
     ∴∆t = 0,51 s                            ∴∆t = 0,51 s

       vf  = vi + g∆t                        vf  = vi + g∆t
           = (8) + (-9,8 ). 0,51                 = (-8) + (9,8 ). 0,51
       ∴ vf = 3,00 m.s-1                      vf = -3,00 m.s-1
                                             ∴ vf = 3,00 m.s-1                               (4)

 4.5 (Upwards positive)
     For ball A/ Vir bal A
     vf = vi + g∆t
     vf = (5) + (-9,8 ). ∆t ...... (1)
       For ball B/ Vir bal B
       vf = vi + g∆t
       vf = (8) + (-9,8 ). ∆t ...... (2)
       Equating (1) and (2)/ Stel (1) gelyk aan (2):
       Since ball A will be moving downwards then/Aangesien bal A afwaarts
       beweeg dat:
       -(5 – 9,8.∆t) = 8 – 9,8.∆t
       19,6.∆t = 13
       ∆t = 0,66 s
       ∆t = 0,011min                                                                         (5)
                                                                                            [19]

 QUESTION/VRAAG 5

 5.1 A system on which the net external forces acting is zero.
     Dit is ’n sisteem waarop die netto eksterne krag wat op die sisteem inwerk,
     nul is.                                                                                 (2)

 5.2 Let east be positive/Laat oos positief wees
     p = mv
       = 1 140 x 30
       = 34 200 kg.m.s-1, (east/oos)                                                         (3)

 5.3 Σpi = Σpf
     mvviv + mcvic = mvvfv +mcvfc
     1 650 viv+ 1 140 x 30 = 1 650 x - 12 + 1 140x 10
     1 650 viv = 11 400 – 34 200 – 19 800
     viv = - 25,82
     viv = 25,82 m.s-1 , west                                                                (5)

 5.4 Principle of conservation of linear momentum
     The total linear momentum of an isolated system remains constant
     (preserved).
     Beginsel van behoud van lineêre momentum.
     Die totale lineêre momentum in ’n geïsoleerde sisteem bly konstant
     (behoue).                                                                               (3)

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

 5.5 ∆p = m(vf - vi)
     ∆p = 1 650 (-12 – (-25,82))
     ∆p = 22 803 kg.m.s-1                                                                     (3)
                                                                                             [16]

 QUESTION/VRAAG 6

 6.1 The net/resultant force acting on an object is equal to the rate of change in
     momentum of the object.
     Die netto/resulterende krag wat op ’n voorwerp inwerk, is gelyk aan die tempo
     van verandering van momentum van die voorwerp.                                           (2)

 6.2 Total Ek Before = Ek tree + Ek car
                       1                1            Any one/Enige een
                     =    m v 2tree +     m                                           2
                                                                                    v car
                       2                2
                       1                  1
                     =    (m)(02) +         (1 125)(25)2
                       2                  2
                     = 351 562,5 J                                                            (4)

 6.3 Impulse of the tree/Impuls van die boom:
     Let original direction be positive/Laat die oorspronklike rigting positief
     wees
     Fnet∆t (car) = m(vf - vi)
                  = 1 125(-6 – 25)
                  = - 34 875 N
     Fnet∆t (car) = 34 875 N, backwards/terugwaarts
     Fnet∆t (tree) = 34 875 N , original direction of the car/ oorspronklie rigting van
     die motor.                                                                               (4)

 6.4                 m(v f - v i )
       Fnet (car) =
                         Δt
                    1 125(-6 - 25)
       Fnet (car) =
                           3,5
       Fnet (car) = - 9 964 N
       Fnet (car) = 9 964 N, backwards/terugwaarts                                            (3)

 6.5 When the airbags deploy during collision, the contact time of the driver with the
     airbag increases. According to the equation Fnet∆t = ∆p, when contact time
     increases the net force experienced by the driver decreases. Then, the extent
     of injury is reduced.
     Wanneer die lugsak gedurende die botsing ontplooi, sal die kontaktyd van die
     bestuurder met die lugsak verhoog. Volgens die vergelyking Fnet∆t = ∆p ,
     wanneer die kontaktyd verhoog sal die netto krag wat deur die bestuurder
     ervaar word verlaag. Dus sal die omvang van die beserings verminder word.                (2)

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(EC/JUNE/JUNIE 2021)          PHYSICAL SCIENCES P1 /FISIESE WETENSKAPPE V1                   11

 6.6 Decrease
     The final velocity will now be zero. Then, according to the equation:
     ∆p = m(vf – vi), it follows that ∆p will decrease. If ∆p decreases then Fnet
     decreases as they are directly proportional to each other.
     Verminder
     Die finale snelheid sal nou nul wees. Volgens die vergelyking: ∆p = m(vf – vi)
     dit volg dat ∆p sal verlaag. As Δp afneem dan sal Fnet verlaag aangesien
     hulle direk eweredig is aanmekaar.                                                     (4)
                                                                                           [19]

 QUESTION/VRAAG 7

 7.1       Gm1m2
       F=
              r2
          (6,67 x10-11 )( 3,4 x103 )( 5,98 x1024 )
       F=
                      (2,32 x106 )2
        = 251 959,05
        = 2,52 x 105 N                                                                      (4)

 7.2 Newton’s Law of Universal Gravitation
     Any two objects or particles in the universe attract each other with a force
     which is directly proportional to the product of their masses and inversely
     proportional to the square of the distance between their centres.
     Newton se Universele Gravitasiewet
     Enige twee liggaam of deeltjie in die heelal trek mekaar aan met ’n krag wat
     direk eweredig aan die produk van hul massas en omgekeerd eweredig
     aan die kwadraat van die afstand tussen hul middelpunte aan.                            (3)

 7.3        Gm1m2
       F1 =          =F
               r2
                  m
            Gm1 2
       F2 =        2
                   2
               r
               2
            Gm1m2
       F2 =    2
              r2
               4
             Gm1m2
       F2 =2          =2F
                 r2
       F2 = 2(2,52 x 105 N)
       F2 = 5,04 x 105 N                                                                     (3)
                                                                                           [10]

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

 QUESTION/VRAAG 8

 8.1 8.1.1     The net work done on an object is equal to the change in the kinetic
               energy of the object.
               Die netto arbeid deur ‘n voorwerp verrig is gelyk aan die verandering in
               kinetiese energie van die voorwerp.

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

       8.1.2                                 OPTION 1/OPSIE 1
                 Wnet = W F1 + W F2 + W// + W f
                       = F1ΔxCos180° + F2ΔxCos0° + mgSin30°ΔxCos180° + fΔxCos180°
                       = (20)(20)(-1) + (100)(20)(1) + (8)(9,8)(0,5)(20)(-1) + (8,5)(20)(-1)
                       = -400 + 2000 – 784 – 170
                       = 646 J
                                              OPTION 2/OPSIE 2
                 Fnet = F2 + F1 + Fg + f
                     = F2 + F1 + mgSin30°+ f
                     = 100 + (-20) + {-(8)(9,8)(0,5)} + (-8,5)
                     = 32,3 N
                 Wnet = FnetΔxCos θ
                      = Fnet ΔxCos0°
                      = (32,3) (20)(1)
                      = 646 J                                                                          (4)

       8.1.3   Wnet = ∆Ek
               Wnet = Ekf – Eki       Any one/Enige een
                         1      1
               Wnet = mv 2f - mv i2
                         2      2
                            1     1
               646 = (8)v 2f - (8)(0)
                           2      2
                       (2)(646)
               v 2f =
                           8
                    = 161,5
               vf = 12,71 m.s-1                                                                        (4)

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(EC/JUNE/JUNIE 2021)         PHYSICAL SCIENCES P1 /FISIESE WETENSKAPPE V1                     13

 8.2         1        1
       ∆Ek =   mv 2f - mv i2
             2        2
             1               1
          = (1 500)(26)2 - (1 500)(0)2
             2               2
          = 507 000 J
           ΔEk
       P=
            Δt
         507000
       =
            4
       = 126 750 W
       = 126,75 kW                                                                              (5)
                                                                                               [15]

 QUESTION/VRAAG 9

 9.1 9.1.1       It is the apparent change in frequency (or pitch/wavelength) of the
                 sound detected by a listener because the sound source and the listener
                 have different velocities relative to the medium of sound
                 propagation.
                 Dit is die verandering in frekwensie (toonhoogte/golflengte) van die
                 klank waargeneem deur ’n luisteraar omdat die klankbron en die
                 luisteraar verskillende snelhede relatief tot die medium waarin die
                 klank voortgeplant word, het.

                                                 OR/OF

                 An apparent change in observed/detected frequency (pitch/
                 wavelength) as a result of relative motion between a source and an
                 observer.
                 Dit is oënskynlike verandering in frekwensie (toonhoogte/golflengte)
                 wat waargeneem word as gevolg van die relatiewe beweging tussen die
                 bron en waarnemer.                                                                 (2)

       9.1.2           v ± vL
                  fL =        fS
                       v ± vS
                                      Any one/Enige een
                       v vL
                 fL =         fS
                         v
                               340 vL
                 0,85x =              (x)
                                 340
                 289x = (340 – vL)(x)
                 289 = 340 – vL
                 vL = 51 m.s-1                                                                      (4)

       9.1.3     When the listener moves away from the source the sound waves that
                 reach him have longer wavelength and a sound with a lower pitch is
                 registered because of a lower frequency.
                 As die luisteraar van die bron af wegbeweeg, het die klankgolwe wat
                 hom bereik langer golflengte en ’n klank met ’n laer toonhoogte
                 geregistreer weens 'n laer frekwensie.                                             (2)

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14                  PHYSICAL SCIENCES P1/FISIESE WETENSKAPPE V1             (EC/JUNE/JUNIE 2021)

         9.1.4    It would be the same
                  Dit sal dieselfde bly                                                       (2)

         9.1.5    FL = 0,85fS
                     = 0,85 x 190
                     = 161,5 Hz                                                               (2)

 9.2     To measure the velocity of blood flowing through blood vessels.
         To scan a fetus/foetus.
         Om die snelheid van bloed wat deur are vloei, te meet.
         Om ’n fetus te skandeer.                                                             (2)
                                                                                             [14]

 QUESTION/VRAAG 10

 10.1    The magnitude of the electrostatic force exerted by one point charge (Q) on
         another point charge (Q) is directly proportional to the product of the
         magnitudes of the charges and inversely proportional to the square of the
         distance (r) between them.
         Die grootte van die elektrostatiese krag wat een puntlading (Q 1) op ’n ander
         puntlading (Q2) uitoefen, is direk eweredig aan die produk van ladings en
         omgekeerd eweredig aan die kwadraat van die afstand (r) tussen hulle.                (2)

 10.2    East is positive/Oos is positief
                kQ A QN
         FAN =
                   r2
                (9 x109 )(4 x10 9 )(2 x10 9 )
             =
                          (0,014)2
             = 0,0005 N, East/Oos

                kQBQN
         FBN =
                   r2
                (9 x109 )(8 x10 9 )(2 x10 9 )
             =
                          (0,049)2
             = 0,00006 N, West/Wes,

         Fnet = FAN + FBN
              = 0,0005 – 0,00006
              = 0,00044 N, East/Right / Oos/regs                                              (5)
                                                                                              [7]

                                                                    TOTAL/TOTAAL:            150

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