# Physical Sciences Grade 12 Paper 1 NSC June 2017 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the NSC June Exam 2017, 23 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/physical-sciences-p1-may-june-2017-memo-afr-eng/ef24ecaa-5af8-4262-bea3-b96eddcae564
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2017
- Exam period: NSC June Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 23

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Physical Sciences · Grade 12 · NSC June Exam · 2017. Memorandum, 23 pages. Read online or download the PDF.

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### Page 1

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                   SENIOR CERTIFICATE EXAMINATION
                     SENIORSERTIFIKAAT-EKSAMEN

                       PHYSICAL SCIENCES: PHYSICS (P1)
                       FISIESE WETENSKAPPE: FISIKA (V1)

                                          2017

                     MARKING GUIDELINES/NASIENRIGLYNE

                                                                  MARKS/PUNTE: 150

                      These marking guidelines consist of 23 pages.
                       Hierdie nasienriglyne bestaan uit 23 bladsye.

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Physical Sciences P1/Fisiese Wetenskappe V1         2                                       DBE/2017
                                 SCE/SSE – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 1

1.1       D                                                                                             (2)

1.2       B                                                                                             (2)

1.3       D                                                                                             (2)

1.4       C                                                                                             (2)

1.5       D                                                                                             (2)

1.6       B                                                                                             (2)

1.7       C                                                                                             (2)

1.8       C                                                                                             (2)

1.9       B                                                                                             (2)

1.10      B                                                                                              (2)
                                                                                                          [20]

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Physical Sciences P1/Fisiese Wetenskappe V1         3                                                        DBE/2017
                                 SCE/SSE – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 2

2.1.1                                                                                 ACCEPT/AANVAAR
                      N                                     N                                     N
                                      F
         f                                                                  F                         Fy
                                                                                          f
                      ●                             f
                                                                                                  ●         Fx

                      w                                                                           w
                                                            w

                 Accepted labels/Aanvaarde benoemings
                    F g /F w /weight/mg/gravitational force
                 w                                                               
                    F g /F w /gewig/mg/gravitasiekrag
                 f Friction/F f /f k /3 N/wrywing/F w                            
                 N Normal (force)/F normaL /F N /F normaal /F reaction/reaksie   
                 F F A /F applied/toegepas                                       
             Notes/Aantekeninge
             • Mark awarded for label and arrow/Punt toegeken vir benoeming en pyltjie
             • Deduct 1 mark if arrow(s) is (are) missing/Trek 1 punt af indien pylpunt(e) nie
                aangeheg is nie
             • Do not penalise for length of arrows since drawing is not to scale./Moenie vir die
                lengte van die pyltjies penaliseer nie aangesien die tekening nie volgens skaal is
                nie
             •      Any other additional force(s)/Enige ander addisionele krag(te) Max/Maks 3
                                                                                                            4
             •      If force(s) do not make contact with body/Indien krag(te) nie met die voorwerp
                    kontak maak nie: Max/Maks: 3
                                                           4                                                               (4)
2.1.2        fk = μkN                (can use F N for N in equation/ kan F N vir N gebruik in vergelyking)
             3 = (0,2)N 
             N = 15 N                                                                                                     (3)
2.1.3        POSITIVE MARKING FROM QUESTION 2.1.2
             POSITIEWE NASIEN VANAF VRAAG 2.1.2
             F net = ma
             N + F vert - w = 0 any of the three/enige van die drie
             N + F vert = w

             Fsin20o = (2)(9,8) – 15 
             F = 13,45 N                                                                                                  (4)
2.1.4        POSITIVE MARKING FROM QUESTION 2.1.3
             POSITIEWE NASIEN VANAF VRAAG 2.1.3
             F net = ma
             Fcos 20o – f = ma any of the two/enige van die twee

             13,45cos20o – 3 = 2a
             a = 4,82 m.s-2                                                                                               (3)

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Physical Sciences P1/Fisiese Wetenskappe V1         4                                       DBE/2017
                                 SCE/SSE – Marking Guidelines/Nasienriglyne

2.2
2.2.1     Any two particles (objects) in the universe will attract each other with a force
          which is directly proportional to the product of the masses and inversely
          proportional to the square of the distance between them (their centres). 
          Enige twee deeltjies (voorwerpe) in die heelal sal mekaar aantrek met 'n krag
          wat direk eweredig is aan die produk van hul massas en omgekeerd eweredig
          is aan die kwadraat van die afstand tussen hul (middelpunte).                                   (2)

2.2.2     Increases/Neem toe

          Gravitational force is inversely proportional to the square of the distance
      -   between the (centres of the) objects
          Gravitasiekrag is omgekeerd eweredig aan die kwadraat van die afstand
          tussen die voorwerpe se middelpunte

          OR/OF
              1
          F α 2
             r                                                                                             (2)
                                                                                                          [18]

QUESTION/VRAAG 3

3.1       The only force acting on the ball is the gravitational force. 
          Die enigste krag wat op die bal inwerk is die gravitasiekrag.

          OR/OF
          The only force acting on the ball is its weight.
          Die enigste krag wat op die bal inwerk is sy gewig.

          ACCEPT/AANVAAR
          The only force acting on the ball is gravity.
          Die enigste krag wat op die bal inwerk is gravitasie.                                           (2)

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Physical Sciences P1/Fisiese Wetenskappe V1         5                                       DBE/2017
                                 SCE/SSE – Marking Guidelines/Nasienriglyne

3.2.1     OPTION 1/OPSIE 1
          UPWARDS AS POSITIVE                       DOWNWARDS AS POSITIVE
          OPWAARTS AS POSITIEF                      AFWAARTS AS POSITIEF
          Δy = v i Δt + ½aΔt2                      Δy = v i Δt + ½ aΔt2
             = (10)(3) + ½(-9,8)(32)                  = (-10)(3) + ½ (9,8)(32) 
             = -14,10                                  = 14,10 m 
          Height of building = 14,10 m             Height of building = 14,10 m
          Hoogte van gebou = 14,10 m                Hoogte van gebou = 14,10 m

          OPTION 2/OPSIE 2
          UPWARD AS POSITIVE                          UPWARD AS NEGATIVE
          OPWAARTS AS POSITIEF                        OPWAARTS AS NEGATIEF
          For maximum height                          For maximum height
          Vir maksimum hoogte                         Vir maksimum hoogte
          v f = v i + a∆t                             v f = v i + a∆t
          0 = 10 + (-9,8)∆t                           0 = -10 + (9,8)∆t
          ∆t = 1,02 s                                 ∆t = 1,02 s

          Time taken from point A to ground           Time taken from point A to ground
          Tyd geneem vanaf punt A tot grond           Tyd geneem vanaf punt A tot grond
          = 3 - 2(1,02) = 0,96 s                      = 3 - 2(1,02) = 0,96 s

          Δy = v i Δt + ½ aΔt2                       Δy = v i Δt + ½ aΔt2
             = (-10)(0,96) + ½ (- 9,8)(0,962)           = (10)(0,96) + ½ ( 9,8)(0,962) 
             = -14,1184                                  = 14,1184 m 
          Height of building = 14,12 m               Height of building = 14,12 m
          Hoogte van gebou = 14,12 m                  Hoogte van gebou = 14,12 m

          OPTION 3/OPSIE 3
          UPWARD AS POSITIVE                      UPWARD AS NEGATIVE
          OPWAARTS AS POSITIEF                    OPWAARTS AS NEGATIEF
          v f = v i + a∆t                         v f = v i + a∆t
              = 10 + (-9,8)(3)                        = -10 + (9,8)(3)
              = -19,40                                = 19,40

          v f 2 = v i 2 + 2 a∆y                  v f 2 = v i 2 + 2 a∆y
          (-19,4)2 = (10)2 + 2(-9,8)∆y           (19,4)2 = (-10)2 + 2(9,8)∆y
          ∆y =-14,10 m                            ∆y = 14,10 m 
          Height of building = 14,10 m           Height of building = 14,10 m
          Hoogte van gebou = 14,10 m              Hoogte van gebou = 14,10 m

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Physical Sciences P1/Fisiese Wetenskappe V1         6                                       DBE/2017
                                 SCE/SSE – Marking Guidelines/Nasienriglyne

          OPTION 4/OPSIE 4
          UPWARD AS POSITIVE                      UPWARD AS NEGATIVE
          OPWAARTS AS POSITIEF                    OPWAARTS AS NEGATIEF
          v f = v i + a∆t                         v f = v i + a∆t
              = (-10) + (-9,8)(0,96)                  = 10 + (9,8)(0,96)
              = -19,408                               = 19,408

          v f 2 = v i 2 + 2 a∆y                  v f 2 = v i 2 + 2 a∆y
          (-19,408)2 = (10)2 + 2(-9,8)∆y         (19,408)2 = (-10)2 + 2(9,8)∆y
          ∆y =14,12 m                             ∆y = 14,12 m 
          Height of building = 14,12 m           Height of building = 14,12 m
          Hoogte van gebou = 14,12 m              Hoogte van gebou = 14,12 m

          OPTION 5/OPSIE 5
          W net = ∆Ek = ∆K
          mg∆xcos0o = ½ m(v f 2 – v i 2)      any one/enige een
          (9,8)∆x = ½ (19,4082 – 102) 
          ∆x = 14,12 m                                v f = v i + a∆t
          Height of building = 14,12 m                   = 10 + (9,8)(3)
          Hoogte van gebou = 14,12 m                      = 19,40

          OPTION 6/OPSIE 6
          E mechA = E mechB
          (E k + E p ) A = (E k + E p ) B any one/enige een
          ½ mv2 + mgh = ½ mv2 + 0
          ½(10)2 + (9,8)h = ½(19,40)2           v f = v i + a∆t
          Height of building = 14,12 m              = 10 + (9,8)(3)
          Hoogte van gebou = 14,12 m                 = 19,40

          OPTION 7/OPSIE 7
          W nc = ∆E p + ∆E k                                  vf = vi + a∆t
          0 = mg(h f – h i ) + ½m(v f 2 - v i 2)                  = 10 + (9,8)(3)
          0 = m(9,8)(0 – h i ) + ½m(19,4082 – 102)               = 19,40
          Height of building = 14,12 m
          Hoogte van gebou = 14,12 m

          OPTION 8/OPSIE 8
          UPWARD AS POSITIVE                      UPWARD AS NEGATIVE
          OPWAARTS AS POSITIEF                    OPWAARTS AS NEGATIEF
          v f = v i + a∆t                         v f = v i + a∆t
              = (10) + (-9,8)(3)                      = 10 + (9,8)(3)
              = -19,40 m∙s-1                          = 19,40 m∙s-1
                    vi + v f                                vi + v f
          Δy =               Δt                  Δy =               Δt 
                       2                                       2
                (10 - 19,40)                            (-10 + 19,40)
          Δy =                3                   Δy =                3
                      2                                       2
          Height of building = 14,12 m           ∆y = 14,12 m
          Hoogte van gebou = 14,12 m              Height of building = 14,12 m
                                                  Hoogte van gebou = 14,12 m                              (3)

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Physical Sciences P1/Fisiese Wetenskappe V1         7                                       DBE/2017
                                 SCE/SSE – Marking Guidelines/Nasienriglyne

3.2.2     OPTION 1/OPSIE 1
          UPWARDS AS POSITIVE                         DOWNWARDS AS POSITIVE
          OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
          v f = v i + aΔt                            v f = v i + aΔt
               = (10) + (-9,8)(3)                       = (-10) + (9,8)(3) 
               = -19,40 m∙s-1                            = 19,40 m∙s-1 
          Speed = 19,40 m∙s-1                        Speed = 19,40 m∙s-1
          Spoed = 19,40 m∙s-1                         Spoed = 19,40 m∙s-1
          OPTION 2/OPSIE 2
          UPWARDS AS POSITIVE                         DOWNWARDS AS POSITIVE
          OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
          v f 2 = v i 2 + 2aΔx                       v f 2 = v i 2 + 2aΔx 
                = (-10)2 + 2(-9,8)(-14,1)                   = (10)2 + 2(9,8)(14,1) 
          v f = 19,4 m∙s-1                           v f = 19,4 m∙s-1 

          POSITIVE MARKING FROM QUESTION 3.2.1
          POSITIEWE NASIEN VANAF VRAAG 3.2.1
          OPTION 3/OPSIE 3
          UPWARDS AS POSITIVE          DOWNWARDS AS POSITIVE
          OPWAARTS AS POSITIEF         AFWAARTS AS POSITIEF
               vi + v f                        vi + v f
          Δy =          Δt             Δy =            Δt 
                  2                               2
                      (10 + v f )                                  (-10 + v f )
            - 14,12 =             3                  + 14,12 =                 3
                          2                                           2
            v f = 19,41m∙s-1                            v f = 19,41m∙s-1
          Speed = 19,41 m∙s-1                        Speed = 19,41 m∙s-1
          Spoed = 19,41 m∙s-1                         Spoed = 19,41 m∙s-1                                 (3)

3.2.3     OPTION 1/OPSIE 1
          UPWARDS AS POSITIVE                         DOWNWARDS AS POSITIVE
          OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
          v f 2= v i 2 + 2aΔy                        v f 2= v i 2 + 2aΔy
          0 = v i 2+ (2)(-9,8)(8)                    0 = v i 2+ (2)(9,8)(-8)
          v i = 12,52 m∙s-1                          v i = -12,52 m∙s-1
          Speed = 12,52 m∙s-1                         Speed = 12,52 m∙s-1 
          Spoed = 12,52 m∙s-1                         Spoed = 12,52 m∙s-1
          OPTION 2/OPSIE 2
          UPWARDS AS POSITIVE                         DOWNWARDS AS POSITIVE
          OPWAARTS AS POSITIEF                        AFWAARTS AS POSITIEF
          Δx = v i Δt + ½aΔt2                         Δx = v i Δt + ½aΔt2
          -8 = 0 + ½ (-9,8)Δt2                        8 = 0 + ½ (9,8)Δt2
          Δt = 1,28 s                                 Δt = 1,28 s

          v f = v i + aΔt                            v f = v i + aΔt 
          0 = v i + (-9,8)(1,28)                     0 = v i + (9,8)(1,28)
          v i = 12,52 m∙s-1                          v i = -12,52 m∙s-1
          Speed = 12,52 m∙s-1                         Speed = 12,52 m∙s-1 
          Spoed = 12,52 m∙s-1                         Spoed = 12,52 m∙s-1                                 (3)

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Physical Sciences P1/Fisiese Wetenskappe V1         8                                                      DBE/2017
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3.3                                     UPWARDS AS POSITIVE/OPWAARTS AS POSITIEF
      12,52

                              10

      Velocity/Snelheid (m·s-1)
                                                                        CHECKLIST FOR MARKING
                                                                        RIGLYNE VIR NASIEN
                                        0                               Each line correctly drawn with               
                                                    3 3,2       t(s)
                                                                        calculated velocities. 1 x 2
                                                                        Elke lyn korrek geteken met
                                                                        berekende waardes 1 x 2
                                                                        Mark for lines being parallel                
                                                                        Twee parallelle lyne korrek geteken
      -19,41                                                            Times 3 s and 3,2 s correctly shown          
                                                                        Tye 3 s en 3,2 s korrek getoon

3.3                                     DOWNWARDS AS POSITIVE/AFWAARTS AS POSITIEF

                19,41
                                                                        CHECKLIST FOR MARKING
                                                                        RIGLYNE VIR NASIEN

            Velocity/Snelheid (m·s-1)
                                                                        Each line correctly drawn with                   
                                                                        calculated velocities. 1 x 2
                                                          3,2           Elke lyn korrek geteken met
                                            0                           berekende waardes 1 x 2
                                                      3          t(s)
                                                                        Mark for lines being parallel                    
                                                                        Twee parallelle lyne korrek geteken
                                                                        Times 3 s and 3,2 s correctly shown              
                                   -10                                  Tye 3 s en 3,2 s korrek getoon

               -12,52

                                                                                                                              (4)
                                                                                                                             [15]

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QUESTION/VRAAG 4

4.1       OPTION 1/OPSIE 1            OPTION 2/OPSIE 2       OPTION 2/OPSIE 2
              Δx                          Δx                     Δx
          v=                          v=                     v=
              Δt                           Δt                    Δt
              0, 2                        0, 4                   0, 6
            =                           =                     =
              0,4                         0,8                    1, 2
                      -1                        -1
           = 0,5 m∙s                   = 0,5 m∙s              = 0,5 m∙s-1
           Formula/Formule
           Correct substitution in all three equations/Korrekte vervanging in al drie
            vergelykings
          Correct answer/korrekte antwoord
          •      If only two calculations used with correct answer, award 2/3
                  Indien slegs twee berekenings met korrekte antwoord gebruik word,
                  ken 2/3 toe
          •      If unit(s) omitted lose 1 mark./Indien eenhede weggelaat is verbeur 1
                  punt

          OPTION 2/OPSIE 2
          Trolley moves with equal displacements in equal time (intervals). (Full marks
          or zero)
          Trollie beweeg met gelyke verplasings in gelyke tydintervalle (Vol punte of
          nul)                                                                                            (3)

4.2       The total linear momentum of a closed (isolated) system remains constant
          (is conserved).
          Die totale lineêre momentum in 'n geslote (geïsoleerde) sisteem bly konstant
          (is behoue).

           OR/OF
          In an isolated system, the total linear momentum before collision is equal to
          the total linear momentum after collision
          In 'n geslote (geïsoleerde) sisteem is die totale lineêre momentum voor
          botsing gelyk aan die totale lineêre momentum na botsing.                                       (2)

          NOTE:/LET WEL
          If the words “closed (isolated)” or “total” omitted, award 1/2.
          Indien die woorde “geslote (geïsoleerde)” of totaal weggelaat is, ken 1/2 toe

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4.3       POSITIVE MARKING FROM QUESTION 4.1/POSITIEWE NASIEN VANAF
          VRAAG 4.1

          OPTION 1/OPSIE 1
          Σp i = Σp f
          m 1 v 1i + m 2 v 2i = m 1 v 1f + m 2 v 2f   Any one/Enige een
          (3,5)(0,5) = (3,5 + 6)v f 
                                                       Fnet = ma
          v f = v 6kg
              = 0,184 m∙s-1
                                                              (v f - v i ) (0,184 -0)
                                                            m             = (6)
                                                                  Δt            0,05
          For trolley B:/Vir trollie B:                     = 2,21 N

          F net ∆t = ∆p = m∆v
          F net (0,5) = 6(0,184 -0) 
          F net = 2,21 N (2,24 N)

          OPTION 2/OPSIE 2
          Σp i = Σp f                                 Any one/Enige een
          m 1 v 1i + m 2 v 2i = m 1 v 1f + m 2 v 2f

          (3,5)(0,5)  = (3,5 + 6)v f 
          v f = v 6kg
              = 0,184 m∙s-1

          For trolley B:/Trollie B:                     For trolley A:/Trollie A:
          F net ∆t = ∆p = m∆v                          F net ∆t = ∆p = m∆v
          F net (0,5) = 6(0,184 -0)                    F net (0,5) = 3,5(0,184 -0,5) 
          F net = 2,21 N (2,24 N)                      F net = - 2,21 N (2,24 N)
                                                        ∴ Magnitude of the average net force
                                                        experienced by trolley B = 2,21 N (2,24 N)
                                                        ∴Grootte van die gemiddelde netto krag deur
                                                        trollie B ondervind = 2,21 N (2,24 N)                   (6)
                                                                                                               [11]

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          OPTION 3/OPSIE 3
          Σp i = Σp f
          m 1 v 1i + m 2 v 2i = m 1 v 1f + m 2 v 2f   Any one/Enige een

          (3,5)(0,5)  = (3,5 + 6)v f 
          v f = v 6kg
              = 0,184 m∙s-1

          For trolley B:/Trollie B:                   For trolley A:/Trollie A:
          v f = v i + aΔt                             v f = v i + aΔt
          0,184 = 0 +a(0,5)                           0,184 = 0,5 +a(0,5)
          a = 0,368 ms-1                              a = - 0,632 ms-1
          F net = ma                                 F net = ma
                = (6)(0,368)                                = (3,5)(-0,632)
                 = 2,21 N                                    = - 2,21 N
                                                      ∴ Magnitude of the average net force
                                                      experienced by trolley B = 2,21 N (2,24 N)
                                                      ∴Grootte van die gemiddelde netto krag
                                                      deur trollie B ondervind = 2,21 N (2,24 N)               (6)
                                                                                                              [11]

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QUESTION/VRAAG 5

5.1
                                                                             ACCEPT/AANVAAR
   f
                        N          f                    N
               ●                                                    f                   N

                                                                               ●
                                                                        W┴             w//
               w
                                           w
                    Accepted labels/Aanvaarde benoemings
                       F g /F w /weight/mg/gravitational force
                    w                                                         
                       F g /F w /gewig/mg/gravitasiekrag
                    f  Friction/F f /50 N/wrywing/F w                         
                    N Normal force/F NORMAL /F NOR /F NORMAAL                 

             Notes/Aantekeninge
           •    Mark awarded for label and arrow/Punt toegeken vir benoeming en pyltjie
           •    Deduct 1 mark if arrow(s) is (are) missing/ Trek 1 punt af indien
                pylpunt(e) nie aangeheg is nie
           •    Do not penalise for length of arrows since drawing is not to scale./Moenie
                vir die lengte van die pyltjies penaliseer nie aangesien die tekening nie
                volgens skaal is nieAny other additional force(s)/Enige ander addisionele
                krag(te) Max/Maks 2
           • If force(s) do not make contact with body/Indien krag(te) nie met die
               voorwerp kontak maak nie: Max/Maks: 3
                                                            4
           •   Award 1 mark if both resolved components of w are correct/Ken 1 punt
               toe indien beide komponente van w korrek is.

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

         OR/OF
         The work done by the net force equals the change in the object's kinetic
         energy. 
         Die arbeid verrig deur die netto krag is gelyk aan die voorwerp se verandering
         in kinetiese energie.                                                                            (2)

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5.3       OPTION 1/OPSIE 1
          W net = ∆E K
          f∆xcosθ + F g ∆xcosθ = ½mv f 2 – ½mv i 2            Any one/Enige een

          (50)(25cos180o) + (60)(9,8) (25cos70o)  = ½(60)(152 – v i 2) 
          -1 250 + 5 027,696 = 6 750 – 30v i 2
          v i = 9,95(4) m.s-1

          OPTION 2/OPSIE 2
          W net = ∆E K
          f∆xcosθ + F g|| ∆xcosθ = ½mv f 2 – ½mv i 2          Any one/Enige een

          (50)(25cos180o ) + (60)(9,8sin20o)(25cos0o)  = ½(60)(152 – v i 2) 
          -1 250 + 5 027,696 = 6 750 – 30v i 2
          v i = 9,95(4) m.s-1

          OPTION 3/OPSIE 3
          W nc = ∆ E K + ∆ E P
          f∆xcosθ = ½(mv f 2 - mv i 2) + (mgh Q – mgh P )        Any one/Enige een
          E mechP + E mechQ + W nc = 0

          (50)(25cos180o) = ½(60)(152 – v i 2)  + (60)(9,8)(-25sin 20o) 
          -1 250 = 6 750 – 30 v i 2 – 5 027,696
          v i = 9,95 m.s-1                                                                               (5)

          OPTION 4/OPSIE 4
          F net = 201,11 – 50
                = 151,11 N

          W net = ΔE k 
          F net Δxcosθ = ½(mv f 2 - mv i 2)
          (151,11)(25)cos0o = ½ (152 – v i 2)
          v i = 9,95 m∙s-1 

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5.4       POSITIVE MARKING FROM QUESTION 5.3
          POSITIEWE NASIEN VANAF VRAAG 5.3
          OPTION 1/OPSIE 1
          Pave / gemid = Fv ave / gemid
                          (9,95 + 15) 
                  = 50
                                  2
                  = 623,75 W 

         OPTION 2/OPSIE 2
              W                                                        (v i + v f )
         P=                                                     ∆x =           Δt
              ∆t                                                          2
                                   Any one/Enige een
               f Δx cos θ                                             (9,954 + 15)
         Pf =                                                   25 =               Δt 
                    Δt                                                      2
               [50 (25 cos 180 o )]                            ∆ t = 2,004 s
            =
                     2,004

             = - 623,75 W (- 625 W)                            F Δx cos θ
                                                 Pboy/seun =              
         P boy/seun = 623,75 W ( 625 W)                           Δt
                                                             [50 (25 cos 0 o )] 
                                                           =
                                                                  2,004
                                                           = 623,75 W

         NOTE/LET WEL:
         Candidates can substitute -1 250 from QUESTION 5.3 directly into the
         equation
         Kandidate kan – 1 250 vanaf VRAAG 5.3 direk in die vergelyking vervang                               (4)
                                                                                                             [14]

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QUESTION/VRAAG 6
6.1
6.1.1     It 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.

          OR/OF
          An apparent change in frequency (pitch), (wavelength) as a result of the
          relative motion between a source and an observer (listener).
          Die skynbare verandering in frekwensie (toonhoogte) as gevolg van die
          relatiewe beweging tussen die bron en die waarnemer.                                            (2)
6.1.2        v ± vL                    v
          fL =      f s OR/OF fL =          fs 
             v ± vs                  v − vs
                (340 + 0)
          365 =               x 330 
                (340 - v s )
          v s = 32,60 m·s-1                                                                              (5)
6.2       According to the Doppler Effect if the star moves away from the observer
          a lower frequency/longer wavelength is detected. This lower frequency/
          longer wavelength corresponds to the red end of the spectrum
          Volgens die Doppler-effek as die ster weg vanaf die waarnemer beweeg word
          'n laer frekwensie/langer golflengte waargeneem. Hierdie laer frekwensie/
          langer golflengte stem ooreen met die rooi ent van die spektrum.                                 (3)
                                                                                                          [10]
QUESTION/VRAAG 7

7.1       The magnitude of the electrostatic force exerted by one point charge (Q 1 ) on
          another point charge (Q 2 ) 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 uitgeoefen deur een punt lading (Q 1 )
          op 'n ander puntlading (Q 2 ) is direk eweredig aan die produk van die (groottes
          van die) ladings en omgekeerd eweredig aan die kwadraat van die afstand (r)
          tussen hulle.                                                                                   (2)

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7.2.1     Negative/Negatief                                                                                           (2)

7.2.2            Q1Q3                        QQ
          F= k      2  (Accept/Aanvaar F = k 1 2 2 )
                  r                           d

                     (9 × 10 9 )Q1(2 × 10 -6 )
          0,012 =                                                              FQ23                FQ13
                              (2,5)2
                                                                                          Fnet
                            -6
          Q 1 = 4,17 x 10 C 

          F net = F Q13 + F Q23 

                             (9 × 10 9 )( Q 2 ) (2 × 10 - 6 )
          - 0,3 = 0,012 -                                               
                                          12

          OR/OF                                                 (9 × 10 9 )( Q 2 ) (2 × 10 - 6 )
                                      0,3 = - 0,012 +                                              
                                                                             12

          Q 2 = 1,73 x10-5 C 
                  Do not penalise for the nature of the charges.
                  Moenie vir die aard van die ladings penaliseer nie.

                                                                                                                         (7)
                                                                                                                        [11]

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QUESTION/VRAAG 8

8.1       Electric field is a region of space in which an electric charge experiences a
          force. 
          Elektriese veld is 'n gebied in die ruimte waarin 'n elektriese lading 'n krag
          ondervind.                                                                                      (2)

8.2

                                                                                              Marks/
                                             Criteria for sketch/Kriteria vir skets
                                                                                              Punte
                                             Correct shape as shown.
                                                                                                 
                                             Korrekte vorm soos getoon.
                                             Direction away from positive
                                                                                                 
                                             Rigting weg van positief .
                                             Field lines start on spheres and do not cross
                                             for correct diagram.                                
                                             Veldlyne begin op elke sfeer en kruis nie.
                                                                                                          (3)

8.3                kQ
          E PA =       
                   r2
              =
                   (       )(
                    9 ×10 9 5 ×10 - 6   )
                        (1, 25 )2

              = 2,88 x 104 N∙C-1 to the right/na regs

                   kQ
          E PB =
                   r2
              =
                   (       )(
                    9 ×10 9 5 ×10 - 6   )
                        (0,75 )    2

              = 8,00 x 104 N∙C-1 to the left/na links

          E net = E PA + E PB
                = 2,88 x 104 + (-8,00 x 104)         Vector addition/Vektoroptelling
                = 5,12 x 104 N∙C-1                                                                        (5)
                                                                                                          [10]

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QUESTION/VRAAG 9
9.1.1                   The potential difference across a conductor is directly proportional to the
                        current in the conductor at constant temperature 
                        Die potensiaalverskil oor 'n geleier is direk eweredig aan die stroom deur die
                        geleier by konstante temperatuur.

                        NOTE/LET WEL
                        If constant temperature is omitted -1 mark
                        Indien konstante temperatuur weggelaat word -1 punt                                                                  (2)
9.1.2                                                          Graph of potential difference versus current
                                                               Grafiek van potensiaalverskil teenoor stroom

                                                       ●

        Potential difference/Potensiaalverskil (V)
                                                     5,0
                                                               ●
                                                                    ●
                                                     4,0
                                                                           ●

                                                     3,0

                                                                                         ●
                                                     2,0
                                                                                                   ●

                                                     1,0                                                 ●

                                                      0
                                                           0       1,0         2,0           3,0             4,0          5,0

                                                                                     Current/Stroom(A)

                        Straight line passing through 4 or five points.
                        Straight line with intercepts on both axes.
                        Reguitlyn deur 4 of 5 punte
                        Reguitlyn met afsnitte op beide asse                                                                                 (2)

9.1.3                   5,5 V (accept any value from /aanvaar enige waarde vanaf 5,4 V to/tot 5,6 V
                              based on graph drawn/op die grafiek gebaseer.)
                        NOTE /LET WEL :
                        The value must be the y-intercept./ Die waarde moet die y-afsnit wees.                                               (1)

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9.1.4                       ΔV         y -y
          Slope/helling =        or/of 2 1
                            ΔI         x 2 - x1
                           5,5 - 0 
                        =            = - 1,2
                           0 - 4,6 
          Internal resistance/Interne weerstand (r) = 1,2 Ω
          NOTE/LET WEL:
          Any correct pair of coordinates chosen from the line drawn
          Enige korrekte paar koördinate vanaf die getekende lyne gekies
          For the equation ε = I(R + r) or ε = V ext + Ir marks are awarded only if the
          correct I and V values are used from the graph
          Vir die vergelyking ε = I(R + r) of ε = V ext + Ir sal punte slegs toegeken word
          indien die korrekte waardes van I and V vanaf die grafiek gebruik is.                             (3)

9.2.1          V
          R=
               I
            V         any of these/enige van hierdie
          I=
            R
          V = IR

          21,84 = I tot (8) 
          I tot = 2,73 A                                                                                   (3)
9.2.2     OPTION 1/OPSIE 1
                                                                  R 30 × R 20
             1       1        1                           R|| =
                 =        +                                       R 30 + R 20
           R //    R 30     R 20
             1      1       1
                 =      +                                          30 × 20
           R||     30 20                                   R|| =            
                                                                      50
                                                                  = 12 Ω
          R || = 12 Ω                                                                                      (2)

9.2.3     POSITIVE MARKING FROM QUESTION 9.2.1 AND 9.2.2
          POSITIEWE NASIEN VANAF VRAAG 9.2.1 EN 9.2.2

          OPTION 1/OPSIE 1
          R tot = (8 + 12 + r)          (for the addition/vir optelling)
                = (20 + r)
          ℇ = I(R + r) 
          60 = (2,73)(20 + r) 
          ∴ r = 1,98 Ω

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          POSITIVE MARKING FROM QUESTION 9.2.1
          POSITIEWE NASIEN VANAF VRAAG 9.2.1
          OPTION 2/OPSIE 2
          V || = I tot R ||
               = (2,73)(12) 
               = 32,76 V

          ∴V terminal = (32,76 + 21,84)  for addition/vir optelling
                        = 54,6 V
          “V lost ” = 60 - 54,6 = 5,4 V                 ℇ = Vlost + V|| + V8
                                                        60 = (V”lost” + 32,76 + 21,84) 
                 V
          R=                                            V”lost” = 5,4 V
                  I
              V             any of these/enige van hierdie
          I=
              R
          V = IR

          5,4 = 2,73 r
          r = 1,98 Ω
          NOTE/LET WEL:
          No penalisation for omitted subscripts
          Geen penalisering vir weggelate onderskrifte nie                                                (4)

9.2.4     POSITIVE MARKING FROM 9.2 1 AND 9.2.2
          POSITIEWE NASIEN VANAF VRAAG 9.2.1 EN 9.2.2
          OPTION 1/OPSIE 1 OPTION 2/OPSIE 2            OPTION 3/OPSIE 3
                                    2
              V 2              W = I R∆t              W = VI∆t
          W=      Δt            = (2,73)2
                                           (20)(0,2)    = (54,6)(2,73)(0,2) 
               R
                                 = 29,81 J              = 29,81 J 
          W=
              (54,6 )
                     2
                       (0,2) 
                20
            = 29,81 J                                                                                     (3)
                                                                                                          [20]

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QUESTION/VRAAG10

10.1.1    R: armature/Coil(s)/Spoel
          T: (Carbon/Koolstof) brushes/borsels
          X: Slip rings/sleepringe
          NOTE/LETWEL:
          Answers must be in that order if R, T and X are omitted.
          Antwoorde moet in hierdie orde wees as R, T en X weggelaat                                      (3)

10.1.2    Faraday's Law/Faraday se wet                                                                   (1)

10.2.1    15 V                                                                                           (1)

10.2.2
          OPTION 1/OPSIE 1
          V rms = I rms R
                   15
           Irms =       
                   45
                = 0,333 A       any one/enige een
                  I max
          I rms =
                     2
              I max =(0,333) 2 
                   = 0,47 A

          OPTION 2/OPSIE 2
                  V
           Vrms = max
                     2
          V max = (15) 2   any one/enige een
                = 21,213V
          V max = I max R
                  21, 213 
          I max = 45
               = 0,47 A

          OPTION 3/OPSIE 3
          I max= I rms 2
                    Vrms
              = 2           any one/enige een
                     R
                    V
                  2 rms
              =      R
                    15
              = 2        
                    45
              = 0,47 A 

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          OPTION 4/OPSIE 4
                V2     15 2
          Pave = rms =      = 5W
                 R      45

          P ave = V rms Irms
                                               any one/enige een
          5 = (15)Irms 
          I rms = 0,33 A

                 I
          Irms = max
                     2
                   I
          0,33 = max 
                      2
          I max = 0,47 A                                                                                          (4)
                                                                                                                   [9]

QUESTION/VRAAG 11

11.1      It is the process whereby electrons are ejected from a (metal) surface when
          light of suitable frequency is incident on that surface. 
          Dit is die proses waarby elektrone vanaf die oppervlak van 'n metaal vrygestel
          word wanneer lig van geskikte frekwensie daarop skyn.                                                    (2)

11.2      INCREASE /TOENEEM 

          Increase in intensity means that (for the same frequency) the number of
    -     photons incident per unit time increase.  Therefore the number of electrons
          ejected per unit time increases. 
          Thus current increases.
          Toename in intensiteit beteken dat (vir dieselfde frekwensie) die aantal fotone
          per eenheid tyd neem toe. Dus sal die aantal elektrone per eenheid tyd
          vrygestel, toeneem.                                                                                      (3)

11.3      OPTION 1/OPSIE 1
          E = W 0 + E k(max)
          hf = hf 0 + E k(max)
                                     Any one/Enige een
          hf = hf 0 + ½ mv2
          E = W 0 + ½ mv2

                      -34            14
                                                (6,63 x10 -34 )(3 ×10 8 )
          (6,63 x 10        x 5,9 x 10 )  =                            + 2,9 x 10-19        
                                                          λ0
                                               19,89 × 10-26
          39,117 x 10-20 – 2,9 x 10-19 =
                                                    λo
          λ o = 1,97 x 10-6 m

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          OPTION 2/OPSIE 2
          E = W o + E k(max)
          hf = hf o + E k(max)
                                  Any one/Enige een
          hf = hf o + ½ mv2
          E = W o + ½ mv2
          (6,63 x 10-34 x 5,9 x 1014)  = (6,63 x 10-34)f 0 + 2,9 x 10-19 

          f o = 1, 52 x 1014 Hz

          c = f oλo
          3 x 108 = (1,52 x 1014) λ 0 
          λ o = 1,97 x 10-6 m                                                             (5)

          OPTION 3/OPSIE 3
          E = W o + E k(max)
          hf = hf o + E k(max)
                                  Any one/Enige een
          hf = hf o + ½ mv2
          E = W o + ½ mv2
          (6,63 x 10-34 x 5,9 x 1014)  = W 0 + 2,9 x 10-19 
          W o = 1,01 x 10-19 J

          W o = hf o
          1,01 x 10-19 = (6,63 x 10-34)f o
          f o = 1, 52 x 1014 Hz

          c = f oλo
          3 x 108 = (1,52 x 1014) λ 0 
          λ o = 1,97 x 10-6 m

11.4      From the photo-electric equation, for a constant work function,  the maximum
          kinetic energy of the photoelectrons is proportional to the energy of the
          photons.

          Vanaf die foto-elektriese vergelyking is die maksimum kinetiese energie van
          die foto-elektrone eweredig aan die energie van die fotone vir 'n konstante
          arbeidsfunksie.                                                                   (2)
                                                                                           [12]

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Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.
