# Physical Sciences Grade 12 Paper 1 EC June 2016 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the EC June 2016, 12 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: 2016
- Exam period: EC June
- Paper: 1
- Curriculum: CAPS
- Pages: 12

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Physical Sciences · Grade 12 · EC June · 2016. Memorandum, 12 pages. Read online or download the PDF.

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### Page 1

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                            GRADE 12/GRAAD 12

             PHYSICAL SCIENCES/FISIESE
                   WETENSKAPPE
                PAPER 1 (PHYSICS)/
                VRAESTEL 1 (FISIKA)

                           JUNE 2016/JUNIE 2016

                                  MEMORANDUM

                         MARKS: 150/PUNTE: 150

                         This memorandum consists of 11 pages.
                       Hierdie memorandum bestaan uit 11 bladsye.

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2                               PHYSICAL SCIENCES P1                             (EC/JUNE 2016)

QUESTION 1/VRAAG 1

1.1    A
1.2    B
1.3    C
1.4    D
1.5    A
1.6    C
1.7    A
1.8    C
1.9    A
1.10   D
                                                                                                    [20]

QUESTION 2/VRAAG 2

2.1    The force that opposes the motion              Die krag wat die beweging van
       of an object 9 and which                       'n voorwerp teenwerk 9 en wat
       acts parallel to the surface. 9                parallel met die oppervlak inwerk. 9            (2)

2.2    When a resultant/net force acts on an          Wanneer 'n resulterende/netto krag op 'n
       object, the object accelerates in the          voorwerp inwerk, versnel die voorwerp in die
       direction of the (net) force 9 at              rigting van die (netto) krag 9 teen
       an acceleration directly proportional          'n versnelling direk eweredig aan die krag 9
       to the force 9and                              en
       inversely proportional to the mass             omgekeerd eweredig aan die massa
       of the object. 9                               van die voorwerp. 9                          (3)

2.3                               Marking criteria                 Nasienkriteria
                  N               Correct arrow and label for      Korrekte pyl en byskrif vir
                       F          each force: 3                    elke krag: 3
                                  Comparative lengths of           Vergelykende lengtes van
              f                   arrows are not required.         pyle word nie vereis nie.
                                  Components of forces are         Komponente van kragte
             T                    not accepted.                    word nie aanvaar nie.
                  w
                                           Accepted labels/Aanvaarbare byskrifte
                                        Fw/Fg/mg/Fweight/Weight/Gravitational force/Force of
                                        gravity
                                  w
                                        Fw/Fg/mg/Fgewig/Gewig/Gravitasiekrag
                                        Fapplied
                                  F
                                        Ftoegepas
                                        FT/Tension/Force of rope on block
                                  T
                                        FT/Spanning/Spankrag/Spanningskrag/Krag van tou
                                        op blok
                                        Ffriction/Ff/Friction/Frictional force/Force of friction
                                  f
                                        Fwrywing/Ff/Wrywing/Wrywingskrag
                                        FN/Fnormal/Normal force
                                  N
                                        FN/Fnormaal/Normaalkrag                                       (5)

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(EC/JUNIE 2016)                     FISIESE WETENSKAPPE V1                                     3

2.4
        OPTION 1 / OPSIE 1 Accept / Aanvaar                OPTION 3 / OPSIE 3
        fk = ȝkN 9               f = ȝN                      If proportion is used: First proof that
           = ȝkmgcosș
                                                             ȝ2 = ȝ4. If not; max 2/4.
           = (0,589) x (2)(9,8)cos30°
                 9            9                              As eweredigheid gebruik word: Bewys
                                                             eers dat ȝ2 = ȝ4. Indien nie; maks 2/4.
           = 10 N 9
                                                                                 Accept / Aanvaar
        OPTION 2 / OPSIE 2                                 fk = ȝkN 9            f = ȝN
                                                              = ȝ4mgcosș
        N = mgcosș                                         20 = ȝ4(4)(9,8)cos30° 9
          = (2)(9,8)(cos30°) 9                             ȝ4 = 0,589
          = 16,974 N
                               Accept / Aanvaar            m2 : m4 = 1 : 2     9
        fk = ȝkN 9             f = ȝN                        f2 : f4 = 1 : 2
           = (0,589)(16,974) 9                                    f2 = ½ x 20 = 10 N 9
           = 10 N 9
                                                                                                         (4)

2.5      From 2.4 / Vanaf 2.4

        OPTION 1 / OPSIE 1                                 OPTION 2 / OPSIE 2
                                     +                                               +
        Fnet = ma 9                                        Fnet = ma 9
                                                       9                                              9
        4 kg:     73,8 - T - 20 - (4)(9,8)(sin 30°) = 4a   4 kg: -73,8 + T + 20 + (4)(9,8)(sin 30°) = -4a
                         9                9                              9               9
        2 kg:           T - 10 - (2)(9,8)(sin 30°) = 2a    2 kg:      -T + 10 + (2)(9,8)(sin 30°) = -2a
                            9                                              9
        T = 24,6 N 9                                       T = 24,6 N 9

        OPTION 3 / OPSIE 3                   System method: Max: 4/6
                                     +
                                             Sisteemmetode: Maks: 4/6
        Fnet = ma 9

        73,8 - 20 - 10 - (4)(9,8)(sin 30°) - (2)(9,8)(sin 30°) = 6a 9
                                9
        T = 24,6 N 9

        OPTION 4 / OPSIE 4                   System method: Max: 4/6
                                     +
                                             Sisteemmetode: Maks: 4/6
        Fnet = ma 9

        -73,8 + 20 + 10 + (4)(9,8)(sin 30°) + (2)(9,8)(sin 30°) = -6a 9
                              9
        T = 24,6 N 9                                                                                     (6)

2.6.1   Remains the same. (99)                             Bly dieselfde. (99)                           (2)

2.6.2   Remains the same. (99)                             Bly dieselfde. (99)                           (2)

2.6.3   Increases (99)                                     Vermeerder (99)                              (2)
                                                                                                       [26]

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4                                    PHYSICAL SCIENCES P1                                 (EC/JUNE 2016)

QUESTION 3/VRAAG 3

3.1
          FGas on rocket      Marking criteria                         Nasienkriteria
          FGas op vuurpyl     Up arrow and correct label: 3            Op-pyl en korrekte byskrif: 3
                              Down arrow and correct label: 9          Af-pyl en korrekte byskrif: 3
          FEarth on rocket    Up arrow > down arrow: 9                 Op-pyl > af-pyl: 9
          FAarde op vuurpyl   If dot not shown: max 2/3                As kol nie gewys is nie: maks 2/3
                                                Accepted labels / Aanvaarbare byskrifte
                                                   w / Fw / Fg / mg / Fweight / Weight / Gravitational
                              FEarth on rocket     force / Force of gravity
                              FAarde op vuurpyl
                                                   w / Fw / Fg / mg / Fgewig / Gewig / Gravitasiekrag
                                                   Fpropulsion / Fapplied / Propulsion / Propulsive force
                              FGas on rocket
                              FGas op vuurpyl
                                                   Fstukrag / Ftoegepas / Stukrag / Aandrywingskrag           (3)

3.2.1   Upwards9                                    Opwaarts9                                                 (1)

3.2.2   Downwards9                                  Afwaarts9                                                 (1)
                              Weight is the only force acting on the rocket. 9
3.3     Q9       –                                                                                            (2)
                              Gewig is die enigste krag wat op die vuurpyl inwerk.
3.4.1
        OPTION 1 / OPSIE 1              +      If downwards is chosen as positive: max 2/3.
                                               Indien afwaarts as positief gekies is: maks 2/3.
            vf = vi + aǻt 9
         112,8 = 0 + a(4) 9                     Example for option 1 / Voorbeeld vir opsie 1
             a = 28,2 m·s-2 9
                                                    vf = vi + aǻt        +
                                                 -112,8 = 0 + a(4)
        OPTION 2 / OPSIE 2              +            a = -28,2 m·s-2
            ǻx = viǻt + ½aǻt2 9
                                               Similar for options two and three.
          225,6 = 0 + ½(a)(42) 9
              a = 28,2 m·s-2 9                 Soortgelyk vir opsie twee en drie.

        OPTION 3 / OPSIE 3             +

             vf2 = vi2 + 2aǻx 9
         112,82 = 02 + 2(a)(225,6) 9
              a = 28,2 m·s-2 9                                                                                (3)

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(EC/JUNIE 2016)                  FISIESE WETENSKAPPE V1                                       5

3.4.2
          OPTION 1 / OPSIE 1         +               If downwards is chosen as positive: max 4/6.
                                                     Indien afwaarts as positief gekies is: maks 4/6.
          ǻt(RG)       ǻy = viǻt + ½aǻt2 9            Example: Option 1 / Voorbeeld: Opsie 1
                    -225,6 = 112,8ǻt + ½(-9,8)ǻt2
                       9        9          9                                                      +
                                                        ǻt(RG) ǻy = viǻt + ½aǻt2
                        ǻt = 24,872 s                         225,6 = -112,8ǻt + ½(9,8)ǻt2
                                                                   ǻt = 24,872 s
          ǻt (total / totaal) = 24,872 + 4 9            ǻt (total / totaal) = 24,872 + 4
                              = 28,87 s 9                                   = 28,87 s
                                                     Similar for options two and three.
                                                     Soortgelyk vir opsie twee en drie.

   OPTION 2 / OPSIE 2           +
   ǻt(RS)                                vf = vi + aǻt 9
                                         0 = 112,8 + (-9,8)ǻt 9
                                         ǻt = 11,510 s

   ǻy(RS)         ǻy = viǻt + ½aǻt2                                            § vf  vi ·
                     = (112,8)(11,510) + ½(-9,8)(11,510)2 9 OR / OF 'y         ¨         ¸'t
                     = 649,176 m                                               © 2 ¹
                                                                               § 0  112,8 ·
                                                                               ¨           ¸(11,510) 9
                             vf2 = vi2 + 2aǻx                                  ©     2     ¹
                   OR / OF   02 = (112,82) + 2(-9,8)ǻx 9                       649,164 m
                             ǻx = 649,176 m

                                 ǻy = viǻt + ½aǻt2
   ǻt(SG)
                               (-649,176 - 225,6) = 0 + ½(-9,8)ǻt2 9
                                 ǻt = 13,361 s

   ǻt (total / totaal) = 4 + 11,510 + 13,361 9
                       = 28,87 s 9

   OPTION 3 / OPSIE 3           +
   v at ground / v by grond           vf2 = vi2 + 2aǻx 9
                                          = (112,82) + 2(-9,8)(-225,6) 9
                                       vf = -130,941 m·s-1

                                                                           § v f  vi ·
   ǻt(RG)                vf = vi + aǻt                              'y     ¨          ¸'t
                  -130,941 = 112,8 + (-9,8)ǻt    OR / OF                   © 2 ¹
                       9             9                                     §  130,941 ( 112,8) ·
                         ǻt = 24,872 s                       225,6 9      ¨                      ¸'t 9
                                                                           ©            2         ¹
                                                                     't    24,872 s

   ǻt (total / totaal) = 4 + 24,872 9
                       = 28,87 s 9
                                                                                                          (6)

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6                                 PHYSICAL SCIENCES P1                             (EC/JUNE 2016)

3.5         v
        112,8                                         Accept / Aanvaar
                                                          28,9 (*)
                                                          28,87
            0                                                   t
                     4

         Marking criteria / Nasienkriteria
         (0;0) indicated.                                                                1
         (4;112,8) indicated.                                                            1
         t = 28,87(*) indicated; positive marking from Q3.4.2.                           1
         Graph starts at (0;0); straight line from (0;0) to (4;112,8) with positive
                                                                                         1
         gradient.
         From (4;112,8): Straight line with negative gradient and ends at
                                                                                         1
         t = 28,87(*). Last value = positive marking from Q3.4.2.
         From (4;112,8): Straight line intersects the time axis between t = 4
                                                                                         1
         and t = 28,87(*). Last value = positive marking from Q3.4.2.

        If downwards is chosen as positive: max 4/6.
        Indien afwaarts as positief gekies is: maks 4/6.

        Graph should be as indicated below, with similar
        marking criteria.
        Grafiek moet wees soos hieronder aangedui met
        soortgelyke nasienkriteria.
            v

                     4
            0                                                   t
                                                            28,87
                                                      Accept / Aanvaar
       -112,8                                             28,9 (*)

      Marking criteria / Nasienkriteria
      (0;0) indicated.                                                         1
      (4;-112,8) indicated.                                                    1
      t = 28,87(*) indicated; positive marking from Q3.4.2.                    1
      Graph starts at (0;0); straight line from (0;0) to (4;-112,8) with
      negative gradient.                                                       1
      From (4;-112,8): Straight line with positive gradient and ends at
      t = 28,87(*). Last value = positive marking from Q3.4.2.                 1
      From (4;-112,8): Straight line intersects the time axis between t
      = 4 and t = 28,87(*). Last value = positive marking from Q3.4.2.         1

                                                                                                      (6)
                                                                                                     [22]

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(EC/JUNIE 2016)                FISIESE WETENSKAPPE V1                                      7

QUESTION 4/VRAAG 4

4.1     Momentum is the product of an                  Momentum is die produk van 'n
        object's mass and its velocity. (99)           voorwerp se massa en sy snelheid. (99)        (2)

4.2 OPTION 1 / OPSIE 1                              OPTION 2 / OPSIE 2 Dir opposite to motion:
                         Dir of motion: +
                         Rig van beweging:                                Rig teenoorgesteld +
    ǻp = mvf - mvi 9                                ǻp = mvf - mvi 9       aan beweging:
       = (175)(0 - (+20)) 9                            = (175)(0 - (-20)) 9
       = -3 500 kg·m·s-1 9                             = 3 500 kg·m·s-1 9

      k ǻp = 3 500 kg·m·s-1;                      k ǻp = 3 500 kg·m·s-1;
      opposite to direction of motion`          9 opposite to direction of motion`           9
      teenoorgesteld aan bewegingsrigting         teenoorgesteld aan bewegingsrigting
                                                                                                     (4)

4.3 OPTION 1 / OPSIE 1                               OPTION 2 / OPSIE 2 Dir opposite to motion:
                         Dir of motion: +
                         Rig van beweging:                               Rig teenoorgesteld +
     Fnetǻt = ǻp 9                                    Fnetǻt = ǻp 9      aan beweging:
       f(8) = -3 500 9                                  f(8) = 3 500 9
          f = -437,5 N 9                                   f = 437,5 N 9

      k f = 437,5 N;                                 k f = 437,5 N;
      opposite to direction of motion           9    opposite to direction of motion           9
      teenoorgesteld aan bewegingsrigting            teenoorgesteld aan bewegingsrigting
                                                                                                     (4)

4.4     The net/total work done on an object 9         Die netto/totale arbeid verrig op 'n voorwerp 9
        is equal to the change in the                  is gelyk aan die verandering in die
        object's kinetic energy. 9                     voorwerp se kinetiese energie. 9

                                                     OR/OF

        The work done on an object by                  Die arbeid verrig op 'n voorwerp deur
        a resultant/net force 9                        'n resulterende/netto krag 9
        is equal to the change in the                  is gelyk aan die verandering in
        object's kinetic energy. 9                     die voorwerp se kinetiese energie. 9          (2)

4.5                                     f = 437,5 N from / van 4.3

      OPTION 1 / OPSIE 1      Dir of motion: +        OPTION 2 / OPSIE 2 Dir of motion:
                                                                                        +
                              Rig van beweging:                            Rig van beweging:
         Wf = ǻK 9                                         § v  vi ·
                                                       'x ¨ f        ¸'t
            = ½(175)(02) - ½(175)(+202) 9                  © 2 ¹
            = -35 000 J 9
                                                           § 0  20 ·
                                                           ¨        ¸(8) 9
      OPTION 3 / OPSIE 3      Dir of motion: +             © 2 ¹
                              Rig van beweging:              80 m
         Wf = ǻK + ǻU 9
            = ½(175)(02) - ½(175)(+202) + 0 9          Wf = fǻxcosș 9
            = -35 000 J 9                                 = (437,5)(80)(cos 180°)
                                                          = -35 000 J 9
                                                                                                    (3)
                                                                                                   [15]

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8                               PHYSICAL SCIENCES P1                         (EC/JUNE 2016)

QUESTION 5/VRAAG 5

5.1    In an isolated system 3                       In 'n geslote sisteem 9
       the total mechanical energy (sum of           bly die totale meganiese energie (som
       gravitational potential energy and            van gravitasie-potensiële energie en
       kinetic energy) remains constant. 3           kinetiese energie) konstant. 9                (2)

5.2                    EM (Top/Bo) = EM (Bottom/Onder) 3
                           (Ep + Ek) = (Ep + Ek)        Anyone
                      mgh + ½ mv2 = mgh + ½ mv2         Enigeen
                                   2               2
         (1,6)(9,8)(1,5) + ½(1,6)v = 0 + ½(1,6)(5,6 )
                3               3           3

                                 v = 1,40 m·s-1 3                                                  (5)

5.3    Total linear momentum of a closed system3Totale lineêre momentum in 'n geslote
       remains constant/is conserved. 9         sisteem 9 bly konstant/behoue. 9                   (2)

5.4     OPTION 1 / OPSIE 1
                                    +
                         Ȉpi = Ȉpf          Anyone
                                        3 Enigeen
                 m1v1 + m2v2 = m1+2v
         0,005v1 + 1,595(0) 3 = 1,6(1,40) 3
                           v1 = 448 m·s-1

        Magnitude of vel/speed = 448 m·s-1 3
        Grootte van snelheid/spoed

        OPTION 2 / OPSIE 2
                                   +
                      ǻp1 = -ǻp2          Anyone
                   m1ǻv1 = -m2ǻv2 3 Enigeen
         0,005(1,4 - v1) 3 = -1,595(1,4 - 0) 3
                        v1 = 448 m·s-1

        Magnitude of vel/speed = 448 m·s-1 3
        Grootte van snelheid/spoed
                                                                                                  (4)
                                                                                                 [13]

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(EC/JUNIE 2016)                    FISIESE WETENSKAPPE V1                                  9

QUESTION 6/VRAAG 6

6.1     Speed 9                                        Spoed 9                                       (1)

6.2     3 9 (m·s-1)                                                                                  (1)

6.3.1   It is the change in frequency (or pitch)       Dit is die verandering in frekwensie (of
        of the sound detected by a listener 9          toonhoogte) van die klank waargeneem
        because                                        deur 'n luisteraar 9
        the sound source and the                       omdat
        listener have different velocities             die klankbron en die luisteraar verskillende
        relative to the medium of sound                snelhede relatief tot die medium het waarin
        propagation. 9                                 die klank voortgeplant word. 9               (2)

6.3.2   345 9 (m·s-1)                                                                                (1)

6.3.3
                 § v r vL ·
          fL     ¨¨        ¸¸fS 9
                  © v r vS ¹
                  § 345  0 ·§ 1000 ·   9
                  ¨¨            ¸¸¨ ¸
               9 © 345  57,5 ¹© 1 ¹
                 1200 Hz 9
                                                                                                     (4)

6.3.4   295 9 (K)         Accept: The same temperature        Aanvaar: Dieselfde temperatuur         (1)

6.4.1   (Diagram) 3 9                                                                                (1)

                             The source is stationary.
6.4.2   19          –                                  9                                            (2)
                             Die bron staan stil.
                                                                                                   [13]

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10                                      PHYSICAL SCIENCES P1                                (EC/JUNE 2016)

QUESTION 7/VRAAG 7

7.1.1   A region of space in which an electric                 'n Gebied in die ruimte waarin
        charge experiences a force. (99)                       'n elektriese lading 'n krag ondervind. (99) (2)

7.1.2                      Marking criteria                      Nasienkriteria
              +            Correct shape                   3     Korrekte patroon                3
                           Direction of field lines        3     Rigting van veldlyne            3
                                                                                                                 (2)

7.1.3         kQ
         E          9
               r2
              (9 x 10 9 )(2 x 10 9 )
                        12              9
              18 N  C 1 9
                                                                                                                 (3)

7.2.1   Y to/na X 9                                                                                              (1)

7.2.2   OPTION 1 / OPSIE 1               OPTION 2 / OPSIE 2
               QX  QY                       QX  QY
         Q                 9             Q               9
                   2                              2
               ( 2)  ( 7)                 ( 2 x 10 9 )  ( 7 x 10 9 )
                             9                                               9
                     2                                      2
                2,5 nC 9                     2,5 x 10 9 C 9
                                                                                                                 (3)

7.2.3   The magnitude of the electrostatic force            Die grootte van die elektrostatiese krag
        exerted by one point charge on another              wat een puntlading op ’n ander punt-
        point charge 9                                      lading uitoefen, 9
        is directly proportional to the product of          is direk eweredig aan die produk van die
        the magnitudes of the charges 9                     grootte van die ladings 9
        and inversely proportional to the square            en omgekeerd eweredig aan die
        of the distance between them. 9                     kwadraat van die afstand tussen hulle. 9
                                                                                                                 (3)

7.2.4    OPTION 1 / OPSIE 1                                OPTION 2 / OPSIE 2
            kQQ                                               kQQ
         F         9                                       F         9
             r2                                                r2
            (9 x 10 9 )(2,5 x 10 9 )(2,5 x 10 9 )            (9 x 10 9 )( 2,5 x 10 9 )( 2,5 x 10 9 )
                                                   99                                                   99
                             22                                                  22
           1,41x 10 8 N 9                                   1,41x 10 8 N 9
         F = 1,41 x 10-8 N;                                F = 1,41 x 10-8 N;
                                 9                                                      9
         repulsive / to the left                           repulsive / to the left
         afstotend / na links                              afstotend / na links                                 (5)
                                                                                                               [19]

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(EC/JUNIE 2016)                   FISIESE WETENSKAPPE V1                                  11

QUESTION/VRAAG 8

8.1     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 ‘n krag direk
        eweredig aan die produk van hul massas en omgekeerd eweredig aan die
        kwadraat van die afstand tussen hulle middelpunte.                              (2)

8.2                  GMe
        g at h =
                   (re + h) 2
              6,67 ×10 -11 × 5,98 ×10 24
        =
          (6,38 ×10 6 + 0,05 × 6,38 ×10 6 ) 2
        = 8,89 m.s-2                                                                             (5)

8.3     Increases/Neem toe                                                                       (1)

8.4     Factor of 4 9 /Faktor van 4.
        The force is inversely proportional to the distance r between their
        centres. 99
        Die krag is omgekeerd eweredig aan die afstand r tussen hulle
        middelpunte. 99                                                                          (3)
                                                                                                 [11]

QUESTION/VRAAG 9
9.1 Impulse is defined as the product of the resultant/net force acting on an
    object and the time the resultant/net force acts on the object. 99
    Impuls word definieer as die produk van die resultant/netto krag wat op ‘n
    voorwerp inwerk en die tyd wat die resultant/netto lrag op die voorwerp
    inwerk. 99                                                                 (2)

9.2     Impulse = Fnet.ǻt = ǻp = mǻv            ( Towards the barrier is taken as positive)
                                                 (Na die voorwerp word geneem as positief)
        Impulse = mǻv
        = 1 500(0 – 13,89)      (50 km.h-1 = 50 × 10 003 600 = 13,89 m.s-1)
        = í20 833,33 N.s
        = 20 833,33 away from the barrier/weg vanaf die voorwerp                                  (5)

9.3     Impulse = Fnet.ǻt
        í20 833,33 = Fnet×0,15
        Fnet = í138888,87 N
        Fnet = 138 888,87 N away from the barrier/weg vanaf die voorwerp                         (4)
                                                                                                 [11]

                                                                               TOTAL/TOTAAL: 150

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