# Physical Sciences Grade 12 Mpumalanga Mock 2016 Memo

> Grade 12 Physical Sciences memorandum from the Mpumalanga Mock Exam 2016, 18 pages. Read online or download the free PDF.

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- Updated: 2026-09-28
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2016
- Exam period: Mpumalanga Mock Exam
- Curriculum: CAPS
- Pages: 18

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Physical Sciences · Grade 12 · Mpumalanga Mock Exam · 2016. Memorandum, 18 pages. Read online or download the PDF.

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### Page 1

NATIONAL
                         SENIOR CERTIFICATE

                               GRADE 12

              PHYSICAL SCIENCES: PHYSICS (P1)
                           SEPTEMBER 2016
                            MEMORANDUM

MARKS/PUNTE: 150

                   This memorandum consists of 18 pages

               Hierdie memorandum bestaan uit 18 bladsye

### Page 2

Physical Sciences P1/Fisiese Wetenskappe V1    2                                 September 2016
                                              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.

### Page 3

Physical Sciences P1/Fisiese Wetenskappe V1    3                               September 2016
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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.

### Page 4

Physical Sciences P1/Fisiese Wetenskappe V1    4                                   September 2016
                                              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.

### Page 5

Physical Sciences P1/Fisiese Wetenskappe V1    5                                      September 2016
                                              NSC/
                                              NSS

QUESTION 1 / VRAAG 1

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

                                                                                            [20]

QUESTION 2 / VRAAG 2

2.1    Accepted labels / Aanvaarde benoemings
       w     Fg / Fw/force of earth on block/weight / 58,8 N / mg / gravitational force
       fk    f/friction/
       T     Tension /
       FA    F app / F T / F Toegepas /
       N     Normal force / F N / Force of surface on block
                        N                                  Accept: N 
                                  FA                                       Fy   
             T
                                                             T                  Fx
                                  fk 
                         w                                                      fk 
                                                                        w
                                                                                                       (5)
       Notes/Aantekeninge:
          • Any additional forces: max 4�5
          • No arrows: 0�5
       Force(s) not touching object: max 4�5

2.2    When a resultant/net force acts on an object, the object will accelerate in the
       direction of the force at an acceleration directly proportional to the force and               (2)

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Physical Sciences P1/Fisiese Wetenskappe V1    6                                 September 2016
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      inversely proportional to the mass of the object. 

      Wanneer 'n resulterende/netto krag op 'n voorwerp inwerk, versnel die voorwerp in
      die rigting van die krag teen 'n versnelling direk eweredig aan die krag en
      omgekeerd eweredig aan die massa van die voorwerp.

      OR/OF

      The resultant/net force acting on an object is equal to the rate of change of
      momentum of the object in the direction of the resultant/net force. /

      Die resulterende/netto krag wat op 'n voorwerp inwerk, is gelyk aan die tempo van
      verandering van momentum van die voorwerp in die rigting van die
      resulterende/netto krag.

2.3   F net = ma      Any one 
      FN + Fy = Fg
      F N + 30Sin20° = 6(9,8) 
      F N = 48,54 N                                                                              (3)

2.4   For 9 kg block:
      F g -T = ma
      9(9,8) – T = 9(3,35) 
      T = 58,05 N                                                                                (2)

2.5   POSITIVE MARKING FROM 2.3 & 2.4

      For 6 kg block:

         F net = ma
       -F x – f k + T = ma
      -30 Cos 20° - fk +58,05 = 6(3,35)            Both formulae 
      f k = 9,76 N

      f k = µ k ·F N
      9,76 = µ k (48,54) 
      µ k = 0,2                                                                               (5)
                                                                                              [17]

QUESTION 3
3.1 Each body in the universe attracts every other body with a force that is directly             (2)

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Physical Sciences P1/Fisiese Wetenskappe V1                      7             September 2016
                                                                NSC/
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      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 hul middelpunte.

3.2         Gm1 m2
      F=
               r2 
            (6,67×10-11 )(5,98×1024 )(3500)
      F=                                                    
                                     8 2
                              (2×10 )           
      F = 34,9 N 

                                                                                                (4)

3.3   F net = ma
      F earth = F moon
                                           Any one
      Gms mE             Gms mm
                     =
          r2E              r2m

      5,98×1024                   7,35 × 1022
                         =                             
           d2                              8        2
                              (3,8 × 10 - d)

                     8    2                    22
      (3,8 × 10 - d)              7,35× 10
                              =
                d2                5,98×1024

      3,8×108 - d
                  = 0,11
          d

      3,8×108 – d = 0,11 d
      1,11 d = 3,8 × 108
      d = 3,42 × 108
                                
      ∴Distance (PQ) = 3,42 × 108 - 2 × 108 = 1,42 × 108 m 

                                                                                               (5)
                                                                                              [11]

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Physical Sciences P1/Fisiese Wetenskappe V1    8                                   September 2016
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                                              NSS

QUESTION 4 / VRAAG 4
4.1 An object upon which the only force acting is the force of gravity. 
                                                                                                    (2)

4.2.1                                         OPTION 1
        Downwards positive:                        Upwards positive:

        v f 2 = v i 2 + 2aΔy                        v f 2 = v i 2 + 2aΔy 
        02 = (-15)2 + 2(9,8)Δy                      02 = 152 + 2(-9,8)Δy 
        Δy = -11,48 m                                Δy = 11,48 m

        Max height = 11,48+35 = 46,48 m            Max height = 11,48+35 = 46,48 m

        OPTION 2: from max height to starting point
                                                                                                    (4)
        Downwards positive:                          Upwards positive:

        v f 2 = v i 2 + 2aΔy                        v f 2 = v i 2 + 2aΔy 
        152 = 02 + 2(9,8)Δy                         (-15)2 = 02 + 2(-9,8)Δy 
        Δy = 11,48 m                                 Δy = -11,48 m

        Max height = 11,48+35 = 46,48 m            Max height = 11,48+35 = 46,48 m

                                              OPTION 3
        Downwards positive:                        Upwards positive:

        v f = v i + aΔt                            v f = v i + aΔt
        0 = -15 + 9,8Δt            Both formulae  0 = 15 + (-9,8)Δt          Both formulae 
        Δt = 1,53 s                                Δt = 1,53 s

        Δy = v i Δt + ½aΔt2                          Δy = v i Δt + ½aΔt2
           = (-15)(1,53) + ½(9,8)(1,53)2               = (15)(1,53) + ½(-9,8)(1,53)2 
        ∆y = 11,48 m                                 ∆y = 11,48 m

        Max height = 11,48+35 = 46,48 m            Max height = 11,48+35 = 46,48 m

                                                                                                    (4)
        OPTION 4

        (mgh + ½mv2) top = (mgh + ½mv2) max 
        m(9,8)(35) + ½m(15)2 = m(9,8)h + 0 
                  h = 46,48 m 

                                                                                                    (4)
4.2.2 OPTION 1                                       OPTION 2

        Downwards positive:                          Downwards positive:                            (4)
                                                                                 Both formulae 

### Page 9

Physical Sciences P1/Fisiese Wetenskappe V1    9                                     September 2016
                                              NSC/
                                              NSS

       Δy = v i Δt + ½aΔt2                          v f 2 = v i 2 + 2aΔy
       35  = (-15)Δt + ½(9,8)Δt2                         = (-15)2 + 2(9,8)(35) 
       4,9Δt2 - 15Δt – 35 = 0                        v f = ±30,18 m·s-1
       ∴Δt = 4,61 s or -1,55 s
                                                     v f = v i + aΔt
       ∴Δt = 4,61 s                                 30,18 = -15 + 9,8Δt 
                                                     ∆t = 4,61 s 
       Upwards positive:
       Δy = v i Δt + ½aΔt2                          Upwards positive:
       -35  = 15Δt + ½(-9,8)Δt2                    v f 2 = v i 2 + 2aΔy          Both formulae 
       4,9Δt2 - 15Δt – 35 = 0                              = (15)2 + 2(-9,8)(-35) 
       ∴Δt = 4,61 s or -1,55 s                       v f = ±30,18 m·s-1
       ∴Δt = 4,61 s
                                                     v f = v i + aΔt
                                                     -30,18 = 15 + (-9,8)Δt 
                                                     ∆t = 4,61 s 

       OPTION 3: POSITIVE MARKING FROM 4.2.1
       Downwards positive:               Upwards positive:

       From max height:                              From max height:
       Δy = v i Δt + ½aΔt2                           Δy = v i Δt + ½aΔt2
       46,48 = 0 + ½(9,8)Δt2                        -46,48 = 0 + ½(-9,8)Δt2 
       Δt = 3,09 s           Both formulae          Δt = 3,09 s            Both formulae 

       From starting point to max height:            From starting point to max height:
       v f = v i + aΔt                               v f = v i + aΔt
       0 = -15 + 9,8Δt                              0 = 15 + (-9,8)Δt 
       ∆t = 1,53 s                                   ∆t = 1,53 s

       ∴ t = 3,09 + 1,53 = 4,62 s                   ∴ t = 3,09 + 1,53 = 4,62 s                      (4)

4.3    DOWNWARDS POSITIVE:                           DOWNWARDS POSITIVE:
            v                                            v
          (m·s-1)                                      (m·s-1)

### Page 10

Physical Sciences P1/Fisiese Wetenskappe V1        10                              September 2016
                                                  NSC/
                                                  NSS

                                                         15                      
                                              
                               4,61              t (s)                    4,61         t (s)
             
             -15                                                 

      Criteria / Kriteria                                            Marks
      y-intercept: v i = 15 m·s-1 / -15 m·s-1                          
      Shape of graph before bounce:
                                                                       
      Straight line passing through t-axis
      POSITIVE MARKING FROM Q4.2.2
                                                                       
      Time shown when ball hits the floor (Δt=4,61 s)
      Shape of graph after bounce:
      Straight line with same gradient as first line,passing           
      through t-axis                                                               (4)
                                                                                         [14]

QUESTION 5
5.1 The total (linear) momentum of a closed system remains constant  (is                          (2)

### Page 11

Physical Sciences P1/Fisiese Wetenskappe V1          11                                         September 2016
                                                    NSC/
                                                    NSS

       conserved).

       Die totale (lineêre) momentum in 'n geslote sisteem bly konstant (behoue).

       OR

       In a closed system the total linear momentum before collision is equal to the total
       linear momentum after the collision.
5.2
                   Σ pi = Σ pf                      Any one       Σ pi = Σ pf                            Any one
       (mv i ) 1 + (mv i ) 2 = (mv f ) 1 + (mv f ) 2         (mv i ) 1 + (mv i ) 2 = (mv f ) 1 + (mv f ) 2
                  3v i + 0 = 3(-0,5) + 6(2,25)                 3v i + 0 = 3(0,5) + 6(-2,25) 
                             v i = 4 m·s-1                            v i = -4 m·s-1
                                                                          v i = 4 m·s-1                           (4)

5.3   Accepted labels / Aanvaarde benoemings
      w     Fg / Fw/force of earth on block/weight / 58,8 N / mg / gravitational force
      fk    f/friction/
      N     Normal force / F N / Force of surface on block

                                                                    Accept:
                   N                                                            N

                                                                            fk 
              fk 
                           w                                             Fg//           Fg┴

                                                                                                                  (3)
      Notes/Aantekeninge:
         • Any additional forces: max 2�3
         • No arrows: 0�3                                                           
      Force(s) not touching object: max 2�3

5.4   Y to X                                                                                                     (1)

5.5   Force of friction  OR Normal force                                                                         (1)

5.6
OPTION 1/OPSIE 1

### Page 12

Physical Sciences P1/Fisiese Wetenskappe V1      12                     September 2016
                                                NSC/
                                                NSS

W net = ΔE k 
(W N ) + W Fg + W f = ½mv f 2 – ½mv i 2
   (0) + (10)∆x Cos 180° + (6×9,8)(0,12)Cos 180° = 0 – ½(6)(2,25)2
          ∆x = 0,813 m
                                        0,813
               0,12
      Sin Θ = 0,813                                   0,12
                                        Θ
          Θ = 8,49°                                                                 (6)

OPTION 2/OPSIE 2
W nc = ΔE k + ΔE p 
(N·Δx·cosθ) + f·Δx·Cosθ = (½mv f 2 – ½mv i 2) + (mgh f - mgh i )
(0) + (10)∆x Cos180º= [0 - ½(6)(2,25)2]  + [(6)(9,8)(1,2) - 0] 
         ∆x = 0,813 m
                                        0,813
               0,12
      Sin Θ = 0,813                                   0,12
                                        Θ
          Θ = 8,49°                                                                 (6)
                                                                              [17]

QUESTION 6

### Page 13

Physical Sciences P1/Fisiese Wetenskappe V1    13                                September 2016
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                                              NSS

6.1     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:
          • Observed frequency
       Independent variable/Onafhanklike veranderlike:
          • Speed of learners
       Example/Voorbeeld:
       What is the relationship between the speed at which the learners move and the
       observed frequency? / Wat is die verband tussen die spoed waarteen die
       leerlinge beweeg en die waargenome frekwensie?
       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)

6.2    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.

       OR

       The change in observed frequency when there is relative motion between a source
       and an observer.

6.3   800 Hz 
               It is the observed frequency when there is no relative motion between the
               listener and the source 
               OR
      It is the observed frequency when the velocity of the learners is 0 m·s-1                   (2)

6.4   COORDINATES: (4;700)
                    (8;600)                                                                       (2)

### Page 14

Physical Sciences P1/Fisiese Wetenskappe V1          14                                     September 2016
                                                    NSC/
                                                    NSS

                                   (12;500)
                                   (17;380)
                                   Any other relevant coordinates

                   ∆f         700-600
      Gradient = ∆vL =             4-8
                                         
                        L
                                    -1
                = -25  (m )

6.5   POSITIVE MARKING FROM 6.4                                         NOTE:
                   f                                                     v ± vL
      Gradient = - vs                                              fL =        f
                                                                         v ± vS S
                 800
               - v =-25                                                      v - vL
                                                                    ∴f
                                                                         L=          fS
                                                                                v
                  v = 32 m·s-1 
                                                                                  fs
                                                                     fL = f s -      v
      NOTE: Using Doppler formula with a pair                                     v L
      of coordinates: max 2�3
                                                                              fs
                                                                    fL = -       v +f
                                   v ± vL                                     v L s
                            fL =          f
                                   v ± vS S                         gradient              y-intercept
                                   v-8
                   600 = v (800) 
                     v = 32 m·s-1                                                                        (3)
                                                                                                         [11]

QUESTION 7

### Page 15

Physical Sciences P1/Fisiese Wetenskappe V1                   15                                              September 2016
                                                             NSC/
                                                             NSS

7.1   The electric field at a point is the electrostatic force experienced  per unit positive
      charge placed at that point.
                                                                                                                               (2)

7.2             kQ                                                             kQ
      EQ1 = r2                                                      EQ2 =
             (9×109 )(3×10-6 )
                                                                                r2
            =                                                               (9×109 )(5×10-6 )
                     0,42                                                  =                          
                                                                                      0,12
            =1,69×105 N·C-1 (east / right)
                                                                           = 4,5×10 N·C-1 (west / left)
                                                                                             6

      E net = 4,5×106 
                      – 1,69×105 = 4,33×106 N·C-1  west                                                                      (6)

7.3         3×10-6 +(-5×10-6 )
      Q=           
              2
              -6
       = -1×10 C                                                                                                              (2)

7.4   Negative                                                                                                                (1)

7.5   OPTION 1                                                                 kQ1 Q3
           kQ Q                                                      FQ3 =
      FQ2 = r12 2                                                               r2
                                                                               �9×109 ��1×10-6 �Q3
            �9×109 ��1×10-6 �(1×10-6 )                                 0,5=                               
        =                                                                               0,252
                       0,32                                                                      -6
                                                                          Q 3 = 3,47×10 C 
         = 0,1 N
                                                       0,51 N
            2          2         2       FQ3
      0,51 = 0,1 + F Q3 
      F Q3 = 0,5 N
                                                   0,1 N
                                                                                                                               (5)

      OPTION 2
      F net 2 = F Q2 2 + F Q3 2
                kQ Q        kQ Q
      F net 2 = r12 2 + r12 3
                                                   2                              2
                      �9×109 ��1×10-6 �(1×10-6 )            �9×109 ��1×10-6 �Q3
      (0,51) = �2
                                                   � +�                          � 
                                 0,32                             0,252
                                                       2
                                 �9×109 ��1×10-6 �Q3
      (0,51) = (0,1) + �
                2           2
                                                       �
                                         0,252

                �9×109 ��1×10-6 �Q3
        0,5=
                    0,252
         Q 3 = 3,47×10-6 C 

                                                                                                                           [16]

QUESTION 8

### Page 16

Physical Sciences P1/Fisiese Wetenskappe V1         16                          September 2016
                                                   NSC/
                                                   NSS

8.1   24 J of work done per +1C charge moving from one point in the circuit to another
      OR
      It is the amount of work done (24 J) per unit positive charge (+1C) moving it from
      one point in the circuit to another                                                        (2)

8.2   V=IR 
      (24-22,26)=I(0,5) 
      I=3,48 A                                                                                  (3)

8.3   POSITIVE MARKING FROM 8.2
      V 5Ω =IR
            =(3,48)(5)
            =17,4 V

      V // = 22,26-17,4  = 4,86 V

          V2
      P= R 
         (4,86)2
        = 16 
        = 1,48 W                                                                                (4)

8.4   POSITIVE MARKING FROM 8.2 & 8.3
                                 V        4,86
      Current through 2 Ω: I = R  =       2
                                                  = 2,43 A

                                     V   4,86
      Current through 16 Ω: I = R =      16
                                                = 0,3 A

      I R = 3,48 – 2,43 – 0,3  = 0,75 A                                                        (4)

8.5   Increases 

      Total resistance (R T ) increases 
      Total current (IT ) decreases 

      ∴lost volts (Vi) AND V 5Ω decreases, therefor V // increases 

      P∝ V 2 if R=constant 
               P                                                                                 (5)
      OR

      Increases 

      Total resistance (R T ) increases 
      Total current (IT ) decreases 

      V i decreases and V 5Ω decreases ⇒ V // increases ⇒ I16Ω increases 
      P∝I2 if R=constant 

                                                                                             [18]
QUESTION 9

### Page 17

Physical Sciences P1/Fisiese Wetenskappe V1    17                            September 2016
                                              NSC/
                                              NSS

9.1   AC                                                                                     (1)

9.2   From electrical energy to light / heat energy                                         (2)

9.3   Faradays principle / electromagnetic induction                                         (1)

9.4        number of waves
      f=
                time
               2
      f=             
           5×10-2

        = 40 Hz 

      OR

           1            1
      f = T=                      = 40 Hz
                   2,5 ×10-2                                                                  (2)

9.5                                           OPTION 1
                   Vrms =
                             Vmax                  Pavg =Vrms Irms 
                                √2
                                311                120 = Irms (219,91) 
                            =                            I rms = 0,55 A 
                                  √2
      Vmax = 219,91 V
                                                                                              (4)
      OPTION 2
      Pavg =Vrms Irms 
                   Vmax
      Pavg =              ∙ Irms
                   √2

                                V
      120  = 𝐼𝐼𝑟𝑟𝑟𝑟𝑟𝑟 ( max )
                                  √2
                            311
      120 = 𝐼𝐼𝑟𝑟𝑟𝑟𝑟𝑟 ( ) 
                      √2
             I rms = 0,55 A 

9.6   OPTION 1                                       OPTION 2
      V rms = Irms ·R                                       2
                                                            Vrms 
      219,91 = 0,55 R                               Pavg =
                                                             R
      R = 399,84 Ω 
                                                          (219,91)2
                                                     120=           
                                                              R
                                                     R = 403 Ω                               (3)
                                                                                              [13]

QUESTION 10

### Page 18

Physical Sciences P1/Fisiese Wetenskappe V1           18                               September 2016
                                                     NSC/
                                                     NSS

10.1    The minimum frequency (of light) needed  to emit electrons from a certain
        metal surface. 
        Die minimum frekwensie (lig) benodig om elektrone uit 'n sekere
        metaaloppervlak vry te stel.                                                            (2)

10.2              1
        E k(max) ∝ λ 

        OR

        E k(max) is inversely proportional to λ
                                                                                                (2)

10.3    Stays the same 
        Only frequency influences the E k(max) 
        OR: Intensity only influences the number of photo electrons per second                  (2)

10.4           E = W o + E k(max) 
               hc
                λ
                  = hf 0 + ½mv2
               (6,63×10-34 )(3×108 )
                            -9
                                        = (6,63×10-34)(1,18×1015)  + ½(9,11×10-31)v2 
                   (160×10 )
               vmax = 1,01×106 m·s-1 
                                                                                                (5)

10. 5

                                       Ek(max)      

                                                                  Cathode B
                                                             Cathode A

                                                              λ                                  (2)
                                                                                                [13]

                                                                           TOTAL/TOTAAL: 150

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