# Physical Sciences Grade 12 P1 Mpumalanga November 2015 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the Mpumalanga November 2015, 15 pages. Read online or download the free PDF.

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- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2015
- Exam period: Mpumalanga November
- Paper: 1
- Curriculum: CAPS
- Pages: 15

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## About this document

Physical Sciences · Grade 12 · Mpumalanga November · 2015. Memorandum, 15 pages. Read online or download the PDF.

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       NATIONAL SENIOR CERTIFICATE EXAMINATION

                              GRADE 12

                   PHYSICAL SCIENCES: PHYSICS (P1)
                            SEPTEMBER 2015
                              MEMORANDUM

MARKS/PUNTE: 150

                   This memorandum consists of 15 pages

               Hierdie memorandum bestaan uit 15 bladsye

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Physical Sciences P1/Fisiese Wetenskappe V1    2                                 September 2015
                                              NSC/
                                              NSS

GENERAL GUIDELINES
1. CALCULATIONS
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 may be relevant symbols and applicable substitutions.
       Geen punte sal toegeken word waar 'n 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 'n fout gedurende substitusie in 'n korrekte formule begaan word, sal
       'n 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
       formula/principle is given correctly.
       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 the 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 'n kandidaat met die korrekte formule
       begin en dan die onderwerp van die formule verkeerd verander, sal 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 had been attempted.
       i.e. substitutions have been made or a numerical answer given.
       Punte word slegs vir 'n formule toegeken indien 'n poging tot 'n berekening
       aangewend is, d.w.s. substitusies is gedoen of 'n 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 is en nie vir waardes wat voor 'n berekening genoem is nie.

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Physical Sciences P1/Fisiese Wetenskappe V1    3                               September 2015
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1.9    All calculations, when not specified in the question, must be done to two
       decimal places.
       Alle berekenings, wanneer nie in die vraag gespesifiseer word nie, moet tot 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 'n finale antwoord tot 'n 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 'n reeks berekenings gedoen moet word (bv. 'n stroomdiagramvraag)
       hoef nie noodwendig dieselfde volgorde te hê nie. VOLPUNTE sal toegeken word
       op voorwaarde dat dit 'n 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 or subquestion.
      'n Kandidate sal slegs een keer gepenaliseer word vir die herhaaldelike gebruik
      van 'n verkeerde eenheid in 'n vraag of subvraag.

2.2    Units are only required in the final answer to a calculation.
       Eenhede word slegs in die finale antwoord tot 'n 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 word slegs vir 'n antwoord en nie vir 'n eenheid per se toegeken nie.
       Kandidate sal derhalwe 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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Physical Sciences P1/Fisiese Wetenskappe V1    4                                   September 2015
                                              NSC/
                                              NSS

3. GENERAL/ALGEMEEN
3.1   If one answer or calculation is required, but two given by the candidate, only
      the first one will be marked, irrespective of which one is correct. If two
      answers are required, only the first two will be marked, etc.
      Indien een antwoord of berekening verlang word, maar twee word deur die
      kandidaat gegee, sal slegs die eerste een nagesien word, ongeag watter een
      korrek is. Indien twee antwoorde verlang word, sal slegs die eerste twee nagesien
      word, ens.
3.2    For marking purposes, alternative symbols (s,u,t, etc.) will also be accepted.
       Vir nasiendoeleindes sal alternatiewe simbole (s, u, t, ens.) ook aanvaar word.
3.3    Separate compound units with a multiplication dot, not a full stop, for
       example, m·s-1. For marking purposes m.s-1 and m/s will also be accepted.
       Skei saamgestelde eenhede met 'n vermenigvuldigpunt en nie met 'n punt nie,
       byvoorbeeld, m·s-1. Vir nasiendoeleindes sal m.s-1 em 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 berekenings 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 or 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 'n sekere veranderlike in een subvraag (bv.
       3.1) bereken word en dan in 'n ander vervang moet word (3.2 of 3.3), bv. indien die
       antwoord vir 3.1 verkeerd is en korrek in 3.2 of 3.3 vervang word, word volpunte
       aan die daaropvolgende subvraag toegeken.
4.2    A multistep question in a subquestion: If the candidate has to calculate, for
       example, current in the first step and gets it wrong due to a substitution error,
       the mark for the substitution and the final answer will be forfeited.
       'n Vraag met veelvuldige stappe in 'n subvraag: Indien 'n kandidaat
       byvoorbeeld, die stroom verkeerd bereken in 'n eerste stap as gevolg van 'n
       substitusiefout, verbeur 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 to 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 in 3.2 could be
       considered.

       'n Verkeerde antwoord, indien dit op 'n konsepsuele fout gebaseer is, kan
       normaalweg nie korrek gemotiveer word nie. Indien 'n 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 'n
       berekening gebaseer is, kan die motivering vir die verkeerde antwoord in 3.2
       oorweeg word.

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Physical Sciences P1/Fisiese Wetenskappe V1    5                                 September 2015
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                                              NSS

QUESTION 1 / VRAAG 1

1.1     C 
1.2     B 
1.3     C 
1.4     A 
1.5     B 
1.6     C
1.7     B 
1.8     B 
1.9     D 
1.10    C 

                                                                                          [20]

QUESTION 2 / VRAAG 2

2.1    The force that opposes the motion of a moving object  relative to a surface

       Die krag wat die beweging van 'n bewegende voorwerp relatief tot 'n oppervlak
       teenwerk                                                                                   (2)

2.2    Accepted labels / Aanvaarde benoemings
       w     Fg / Fw/force of earth on block/weight / 19,6 N / mg / gravitational force
       fk    f/friction/
       T     Tension /
       F     Fapp / FT / FToegepas /
       N     Normal force / FN / Force of surface on block
                        N

             T                F

             fk 
                         w

                                                                                                  (5)
       Notes/Aantekeninge:
           Any additional forces: max 4⁄5
           No arrows: 0⁄5
       Force(s) not touching object: max 4⁄5

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Physical Sciences P1/Fisiese Wetenskappe V1       6                                       September 2015
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                                                 NSS

2.3                               For either
      For 2 kg block:            2a or 1,5a             For 1,5 kg block:
       Fnet = ma                                       Fnet = ma
      F – T – f = 2a                                    T – 1,5(9,8) = 1,5a
      20 – T – 3,1 =2a                                 T – 14,7  = 1,5a
      16,9 – T  =2a                                    T = 1,5a + 14,7
      T = 16,9 – 2a

                                      ∴16,9 – 2a = 1,5a +14,7 
                                              2,2 = 3,5a
                                          a = 0,63 m·s-2 

                                                    OR

                                                T = 16,9 – 2a
                                               T = 1,5a + 14,7
                                               0 = 2,2 – 3,5a              (subtract)
                                              a = 0,63 m·s-2                                           (6)
                                                                                                       [13]

QUESTION 3 / VRAAG 3
3.1 9,8 m·s-2  downwards                                                                                 (2)

3.2   Yes. Only force of gravity acts on the ball / Ball is moving under the influence of
      its weight / weight is the only force acting on the ball                                             (2)

3.3   Downwards positive:                               Upwards positive:

      vf2 = vi2 + 2aΔy                                 vf2 = vi2 + 2aΔy 
          = 82 + 2(9,8)(1,8)                              = (-8)2 + 2(-9,8)(-1,8) 
      vf = 9,96 m·s-1                                  vf = 9,96 m·s-1 

      OPTION 2                                          OPTION 3
      (mgh + ½mv2)top = (mgh + ½mv2)floor              Δy = viΔt + ½aΔt2
      m(9,8)(1,8)+ ½m(8)2  = 0 + ½mv2                 1,8 = 8Δt + ½(9,8)Δt2
       17,64 + ½(64) = ½v2                              Δt = 0,2 s                       Both
        v = 9,96 m·s-1                                                                  Formulae 
                                                        vf = vi + aΔt
                                                           = 8 + (9,8)(0,2) 
                                                        vf = 9,96 m·s-1                                   (4)

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Physical Sciences P1/Fisiese Wetenskappe V1    7                                  September 2015
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3.4   POSITIVE MARKING FROM Q3.3

      OPTION 1                                       OPTION 2

      Downwards positive:                            Downwards positive:
                                                         v v
      vf = vi + aΔt                                 Δy = f+2 i Δt 
      9,96 = 8 + 9,8Δt                                   9,96+8
      Δt = 0,2 s                                    1,8 = 2 Δt 
                                                     Δt = 0,2 s 
      Upwards positive:
      vf = vi + aΔt                                 Upwards positive:
                                                         v v
      -9,96 = -8 + (-9,8)Δt                         Δy = f+2 i Δt 
      Δt = 0,2 s                                          −9,96+(−8)
                                                     -1,8 =             Δt 
                                                                2
                                                     Δt = 0,2 s 
      OPTION 3

      Downwards positive:
      Δy = viΔt + ½aΔt2 
      1,8 = 8∆t + ½(9,8)∆t2 
      ∆t = 0,2 s 

      Upwnwards positive:
      Δy = viΔt + ½aΔt2 
      -1,8 = (-8)∆t + ½(-9,8)∆t2 
      ∆t = 0,2 s                                                                                  (3)

3.5   POSITIVE MARKING FROM Q3.3                     POSITIVE MARKING FROM Q3.3

      OPTION 1                                       OPTION 2
      80% of 9,96 = 7,97 m·s-1                       80% of 9,96 = 7,97 m·s-1

      Upwards positive:                              Upwards positive
      vf2 = vi2 + 2aΔy                              vf = vi + aΔt
      02 = (7,97)2 + 2(-9,8)Δy                     0 = 7,97 + (-9,8)Δt         
      Δy = 3,24 m                                   ∆t = 0,81 s

      No, ball won’t reach the ceiling              ∆y = vi∆t + ½a∆t2
                                                        = (7,97)(0,81) + ½ (-9,8)(0,81)2 
      Downwards positive:                               = 3,24 m 
      vf2 = vi2 + 2aΔy                              No, ball won’t reach the ceiling
      02 = (-7,97)2 + 2(9,8)Δy
      Δy = -3,24 m                                   Downwards positive
      Δy = 3,24 m                                   vf = vi + aΔt
      No, ball won’t reach the ceiling              0 = -7,97 + (9,8)Δt         
                                                     ∆t = 0,81 s

                                                     ∆y = vi∆t + ½a∆t2
                                                        = (-7,97)(0,81) + ½ (9,8)(0,81)2 
                                                        = -3,24 m
                                                        = 3,24 m 
                                                     No, ball won’t reach the ceiling

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Physical Sciences P1/Fisiese Wetenskappe V1            8                                        September 2015
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      OPTION 3

      80% of 9,96 = 7,97 m·s-1
                                                             Downwards positive
      Upwards positive                                       vf = vi + aΔt
      vf = vi + aΔt                                          0 = -7,97 + (9,8)Δt                
      0 = 7,97 + (-9,8)Δt                                   ∆t = 0,81 s
      ∆t = 0,81 s
                                                                    v v
                                                             Δy = f+2 i Δt
              vf+ vi
      Δy =             Δt                                           0+(−7,97)
                2                                               =                (0,81) 
              0+(7,97)                                                 2
          =                  (0,81) 
                  2
                                                               = -3,23
        = 3,23 m                                              = 3,23 m
      No, ball won’t reach the ceiling                      No, ball won’t reach the ceiling                   (5)

3.6
           7,97                                                9,96                
          v
        (m·s-1)                                                  8
                               0,2                              v
                                                              (m·s-1)                   0,21
                                     0,21            t (s)
                                                                                  0,2                 t (s)
              -8 
                                                                                                
          -9,96                                                7,97
                                                                                            

      Criteria / Kriteria                                                          Marks
      y-intercept at 8 m·s-1 / -8 m·s-1                                              
      POSITIVE MARKING FROM Q3.3 & Q3.4
      Time and velocity shown with which ball hits the floor                            
      (0,2 ; -9,96) or (0,2 ; 9,96)
      POSITIVE MARKING FROM Q3.3 and Q3.4
      Time and velocity shown with which ball leaves the floor
                                                                                        
      (0,21 ; 7,97) or (0,21 ; -7,97)
      Note: time = answer of Q3.3 + 0,01
      Shape/Vorm: 2 Straight parallel lines ending at v=0                                      (4)
                                                                                                      [20]

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Physical Sciences P1/Fisiese Wetenskappe V1    9                                 September 2015
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                                              NSS

QUESTION 4
4.1 Σpi = Σpf
                                              
       (mvi)1 + (mvi)2 = (mvf)1 + (mvf)2

       0= 1,6(0,26) + 0,8vf 

       vf = -0,52

       vf = 0,52 m·s-1                                                           (4)

4.2    - F / Experiences the same force in magnitude, but in opposite direction

       Newtons Third Law.                                                        (3)

4.3    External forces present / friction present                               (1)

4.4    f = μk·N 
         = (0,12)(1,6×9,8×Cos 30°) 
         = 1,63 N 

4.5     POSITIVE MARKING FROM Q4.4
OPTION 1/OPSIE 1
Wnet = ΔEk 
W w// + Wf = ½mvf2 – ½mvi2
(1,6×9,8×Sin 30°)(0,5)Cos 0° + (1,63)(0,5)Cos 180° = ½(1,6)vf2 – ½(1,6)(0,2)2
         vf = 1,98 m·s-1 
                                                                                            (5)
OPTION 2/OPSIE 2
Wnet = ΔEk 
W w + Wf = ½mvf2 – ½mvi2
(1,6×9,8)(0,5)Cos 60° + (1,63)(0,5)Cos 180° = ½(1,6)vf2 – ½(1,6)(0,2)2
         vf = 1,98 m·s-1 
                                                                                            (5)
OPTION 3/OPSIE 3                                                          0,5
Wnet = ΔEk                                                                              0,25
                                                                          30°
W w + Wf = ½mvf2 – ½mvi2
(1,6×9,8)(0,25)Cos 0° + (1,63)(0,5)Cos 180° = ½(1,6)vf2 – ½(1,6)(0,2)2
         vf = 1,98 m·s-1 
                                                                                            (5)
OPTION 4/OPSIE 4
Wnet = ΔEk 
Fnet·∆x·CosΘ = ½mvf2 – ½mvi2
(1,6×9,8×Sin30° - 1,63)  (0,5)Cos0° = ½(1,6)vf2 – ½(1,6)(0,2)2
         vf = 1,98 m·s-1 
                                                                                            (5)
OPTION 5/OPSIE 5
Wnc = ΔEk + ΔEp 
f·Δx·Cosθ = (½mvf2 – ½mvi2) + (mghf - mghi)
(1,63)(0,5)Cos180º= [½(1,6)(vf)2 – ½(1,6)(0,2)2]  + [0 - (1,6)(9,8)(0,25)] 
         vf = 1,98 m·s-1 
                                                                                            (5)

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Physical Sciences P1/Fisiese Wetenskappe V1             10                        September 2015
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QUESTION 5

5.1    A force for which the work done in moving an object between two points is
       independent of the path taken.  (2 or 0)

       'n Krag waarvoor die arbeid verrig om 'n voorwerp tussen twee punte te beweeg,
       onafhanklik is van die roete wat gevolg word.                               (2)

              Wnc             ∆Ek +∆Ep
5.2    P=            =
                  ∆t             ∆t
                                                     Any one
              1           1
             ( mv2f - mv2i )+(mghf -mghi )
              2           2
         =                       ∆t

                  1
              [ (87)(2,1)2 -0]+[(87)(9,8)(35)-0]
                  2
          =                              60

          = 500,55 W                                                                    (5)

                                                                                         [7]

QUESTION 6

6.1    10×10-4 s  / 1×10-3 s  / 0,001 s                                               (1)

6.2    POSITIVE MARKING FROM Q 6.1
              1                                                 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑤𝑎𝑣𝑒𝑠
       T=𝑓                                    OR         f=             𝑡𝑖𝑚𝑒

                      1                                           0,25
        f = 0,001                                            = 2,5×10−4

         = 1000 Hz                                           = 1000 Hz
                                                                                   (3)

6.3    The change in frequency (or pitch) of the sound detected by a listener because
       the sound source and the listener have different velocities relative to the medium
       of sound propagation.

       Die verandering in frekwensie (of toonhoogte) 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.

                                                                                         (2)

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Physical Sciences P1/Fisiese Wetenskappe V1     11                                   September 2015
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6.4     POSITIVE MARKING FROM 6.2
             𝑣±𝑣
        𝑓𝐿 = 𝑣±𝑣𝐿 𝑓𝑆 
                𝑆

                   340
      1000  = 340−𝑣 (800)
                         𝑠

           vs = 68 m·s-1                                                                     (5)

                             1
6.5     Decreases. 𝑓 ∝ 𝜆 , if velocity stays constant (v = fλ)                             (3)

                                                                                             [14]

QUESTION 7

7.1                                                   Don’t penalise if drawn horizontally

                             -
                                                                      +        ̶
                             +

                Criteria for sketch:           Marks
        Shape of electric field                  
        Correct direction of field lines         
        No field lines crossing each other /     
        No field lines inside the sferes
                                                                                                      (3)

7.2     The magnitude of the electrostatic force exerted by one point charge (Q1) on
        another point charge (Q2) 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 (Q1) op 'n ander
        puntlading (Q2) uitoefen, 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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Physical Sciences P1/Fisiese Wetenskappe V1           12                                   September 2015
                                                     NSC/
                                                     NSS

7.3                                                             T = force of string / scale
                                  T
                                                                Fg = gravitational force /w / mg

                                                                FQ = electrostatic force

                                   Fg
                        FQ

                                                                                                            (3)

7.4   19,3 N                                                                                               (1)

7.5   POSITIVE MARKING FROM Q7.4

      Fnet = 0
      T – mg – FQ = 0 
      19,3 – (0,5)(9,8) = FQ
      FQ = 14,4N
           𝑘𝑄1 𝑄2
      𝐹=            
             𝑟2
                    (9×109 )(4×10−6 )(4×10−6 )
        14,4  =                                 
                                  𝑟2
        r = 0,1 m                                                                                          (6)

QUESTION 8
8.1 The resistance of a battery  that opposes the flow of charge through the battery. 
    OR
    The resistance of a battery that causes a drop in the reading on a voltmeter
    connected over the battery (p.d) if the switch is closed.                                              (2)

8.2
                              V                                Voltmeter in parallel over battery
                                                                and ammeter in series 
                                                               Rest of components connected
             •                                                  so that circuit will work 
             •                             A

                                                                                                            (2)

8.3    EMF / ε 

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Physical Sciences P1/Fisiese Wetenskappe V1    13                                     September 2015
                                              NSC/
                                              NSS

8.4    If I increases then Vi will increase (Vi= Ir)
       As ε will remain constant
       Therefor Ve (= V1) will decrease  (ε = Vi + Ve)                                      (3)

8.5    Group 1.
       The gradient represents the internal resistance and the gradient is steeper.         (2)
                                                                                            [10]

QUESTION 9
9.1 P = I2 R
    8,1 = (1,5)2 R 
    R = 3,6 Ω 

9.2    POSITIVE MARKING FROM Q9.1
       OPTION 1                                       OPTION 2
       ε = I(R+r)                                    P = VI
       8,4 = 1,5 (R// + 3,6 + 0,4)                  8,1 = V(1,5)
       R// = 1,6 Ω                                    V = 5,4 V
       1     1        1                               Vlost = Ir = (1,5)(0,4) = 0,6 V
            =𝑟 +𝑟 
       𝑅      1       2
        1        1    1
             =𝑟 +8                                   V|| = 8,4 – 5,4 – 0,6 V = 2,4 V
       1,6        1
       R=2Ω
                                                      I8Ω = V/R = 2,4/8 = 0,3 A

                                                      Irheostat = 1,5 – 0,3 = 1,2 A

                                                      R = V/I = 2,4/1,2 = 2 Ω

                                                                                             (6)

9.3.1 Increases 
9.3.2 Remains the same 
9.3.3 Increases                                                                             (3)
                                                                                            [12]

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Physical Sciences P1/Fisiese Wetenskappe V1    14                             September 2015
                                              NSC/
                                              NSS

QUESTION 10
10.1 Mechanical energy to electrical energy 
     Meganiese energie na elektriese energie 

       OR/OF

       Kinetic energy to electrical energy 
       Kinetiese energie na elektriese energie 
                                                                                      (1)

                2
10.2   𝑃𝑎𝑣𝑔 = 𝐼𝑟𝑚𝑠  𝑅
              2
       80 = 𝐼𝑟𝑚𝑠  (2) 
       Irms = 6,32 A

              𝐼
       Irms = 𝑚𝑎𝑥 
                   √2

               𝐼
       6,32 = 𝑚𝑎𝑥 
                   √2

       𝐼𝑚𝑎𝑥 = 8,94 A                                                               (5)

10.3   Cost = kWh × tariff
             = (1,2 × 142)×R1,25
             = R213                                                                 (2)
                                                                                      [8]

QUESTION 11
11.1 The process whereby electrons are ejected from a metal surface  when light of
     suitable frequency is incident on that surface. 
       Die proses waardeur elektrone uit 'n metaaloppervlak vrygestel word wanneer lig
       van geskikte frekwensie invallend op die oppervlak is.
                                                                                      (2)

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Physical Sciences P1/Fisiese Wetenskappe V1     15                                 September 2015
                                               NSC/
                                               NSS

11.2    Criteria for investigative question/Kriteria vir ondersoekende vraag:
        Dependent and independent variables correctly identified.
                                                                                                
        Afhanklike en onafhanklike veranderlikes korrek geïdentifiseer.
        Question about the relationship between the independent and dependent
        variables correctly formulated.
                                                                                                
        Vraag oor die verwantskap tussen die afhanklike en onafhanklike
        veranderlikes korrek geformuleer.
       Dependent variable/Afhanklike veranderlike:
           Ejection of the photoelectrons from the metal
       Independent variable/Onafhanklike veranderlike:
           Wavelength
       Example/Voorbeeld:
       What is the relationship between the wavelength of light incident on the surface of
       the metal and the ejection of photo-electrons? / Wat is die verband tussen die
       golflengte van lig wat op die oppervlak van ‘n metaal geskyn word en die vrystelling
       van elektrone daaruit?
       Notes/Aantekeninge:
          A question that results in a ‘yes’ / ‘no’ answer: max 1⁄2
          ‘n Vraag wat ‘n ‘ja’ of ‘nee’ as antwoord het: maks 1⁄2
                                                                                           (2)

11.3   Frequency of light A is higher than the threshold frequency of the metal (f A>f0). 
       Frequency of light B is lower than the threshold frequency of the metal (fB<f0). 
       OR
       Wavelength of light source A is less than wavelength of light source B
                                                                                           (2)
             hc
11.4   E= λ 
             (6,63×10−34 )(3×108 )
         =                           
                  (570×10−9 )
         = 3,49×10-19 J                                                                  (3)
11.5   POSITIVE MARKING FROM Q11.4
       E = W o + Ek(max) 
       hc
          = 3,49×10-19 + ½mv2
        λ
       (6,63×10−34 )(3×108 )
                             = 3,49×10-19  + ½(9,11×10-31)v2 
             (480×10−9 )
       vmax = 37 8845,09 m·s-1  / 3,79×105 m·s-1
                                                                                           (5)
11.6   Green                                                                             (1)
                                                                                         [15]

                                                                      TOTAL/TOTAAL: 150

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