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Physical Sciences P1/Grade 12 1
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasie
—————————————————————
DEPARTMENT OF EDUCATION
—————————————————————
DEPARTEMENT VAN ONDERWYS
—————————————————————
LEFAPHA LA THUTO
—————————————————————
ISEBE LEZEMFUNDO
—————————————————————
PROVINCIAL PREPARATORY EXAMINATION/
PROVINSIALE VOORBEREIDINGSEKSAMEN
GRADE/GRAAD 12
PHYSICAL SCIENCES P1: PHYSICS/
FISIESE WETENSKAPPE V1: FISIKA
MARKING GUIDELINES/NASIENRIGLYNE
SEPTEMBER 2019
MARKS/PUNTE: 150
TIME/TYD: 3 hours/uur
This memorandum consist of 26 pages./
Hierdie memorandum bestaan uit 26 bladsye.
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Physical Sciences Grade 12 P1 2019 Memo
Grade 12 Physical Sciences Paper 1 memorandum from the Northern Cape November 2019, 26 pages. Read online or download the free PDF.
Physical Sciences · Grade 12 · Northern Cape November · 2019. Memorandum, 26 pages. Read online or download the PDF.
- Subject
- Physical Sciences
- Grade
- Grade 12
- Document type
- Memorandum
- Year
- 2019
- Exam period
- Northern Cape November
- Paper
- 1
- Curriculum
- CAPS
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- 26
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Physical Sciences P1/Grade 12 2 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
GENERAL GUIDELINES/ALGEMENE RIGLYNE
1. CALCULATIONS/BEREKENINGE
1.1 Marks will be awarded for: correct formula, correct substitution, correct answer
with unit.
Punte sal toegeken word vir: korrekte formule, korrekte substitusie, korrekte
antwoord met eenheid.
1.2 No marks will be awarded if an incorrect or inappropriate formula is used,
even though there 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
correct 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 has 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 gelys is nie.
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Physical Sciences P1/Grade 12 3 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
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 'n
minimum van twee desimale plekke gedoen word.
2. UNITS/EENHEDE
2.1 Candidates will only be penalised once for the repeated use of an incorrect unit
within a question or sub-question.
Kandidate sal slegs een keer gepenaliseer word vir die herhaaldelike gebruik
van 'n verkeerde eenheid in 'n vraag.
2.2 Units are only required in the final answer to a calculation.
Eenhede word slegs in die finale antwoord op '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.
-1
SI-eenhede moet gebruik word, behalwe in sekere gevalle, bv. V∙m in plaas
-1 -1 -1 -1
van N∙C , en cm∙s of km∙h in plaas van m∙s waar die vraag dit regverdig.
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,
-1 -1
byvoorbeeld, m·s . Vir nasiendoeleindes sal m.s en m/s ook aanvaar word.
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Physical Sciences P1/Grade 12 4 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
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 Sub-question to sub-question: When a certain variable is calculated in one sub-
question (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 sub-questions.
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 word korrek in 3.2 of 3.3 vervang, word volpunte vir
die daaropvolgende subvraag toegeken.
4.2 A multi-step question in a sub-question: 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,
verloor die kandidaat die punt vir die substitusie sowel as die finale antwoord.
4.5 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/Grade 12 5 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 1/VRAAG 1
1.1 B (2)
1.2 D (2)
1.3 A (2)
1.4 A (2)
1.5 C (2)
1.6 D (2)
1.7 B (2)
1.8 C (2)
1.9 A (2)
1.10 D (2)
[20]
QUESTION 2/VRAAG 2
2.1 When a resultant/net force acts on an object, the object will accelerate in the
direction of the force and the acceleration is directly proportional to the
forceand 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.
(2)
2.2
𝐹 ACCEPT/AANVAAR 𝐹𝐴
𝑇𝐵 𝑇𝐵
𝐹𝑔 𝐹𝑔
Accepted labels/Aanvaarde benoemings
F Fapp / FA/applied force (accept T/tension)
Ftoegepas / FT/toegepaste krag/(aanvaar T/spanning)
Fg w/Fw /weight/mg/gravitational force
w/Fw /gewig/mg/gravitasiekrag
T FT/Tension/Spanning
Notes/Aantekeninge
Marks awarded for label and arrow./Punt toegeken vir benoeming en
pyltjie.
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.
2
Any other additional force(s)./Enige ander ekstra krag(te). Max/Maks 3
If force(s) do not make contact with body./Indien krag(te) nie met die
2
voorwerp kontak maak nie: Max/Maks 3
Do not penalise if vector notation is not used./Moenie penaliseer indien
vektor notasie nie gebruik is nie. (3)
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Physical Sciences P1/Grade 12 6 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
2.3.1 ∑ Fy = 0
N+Fg = 0 Any one/Enige een
N-Fg = 0
N=mg
N=4,0 × 9,8
N=39, 20 N
Note/Aantekening: Do not penalise if vectors notation is not used./Moenie
penaliseer indien vektore notasie nie gebruik word nie. (3)
2.3.2 OPTION 1/OPSIE 1
∑ F=ma OR/OF Fnet =ma OR/OF Fnet =ma
Direction of motion as positive/Rigting van beweging as positief
Block A/Blok A
T+fk = mA a OR/OF T+fk = mA a
T-fk = mA a Any one/Enige een
T-11,76= 4a (1)
Block B/Blok B:
T+Fg +F= mB a OR/OF T+Fg +F= mB a
-T-Fg(B) +F= mB a Any one/Enige een
-T-mB g+F= mB a
-T-(8)(9,8)+96= 8a
-T-78,4+96= 8a
-T+17,6= 8a (2)
Solving (1) and (2)/Los (1) en (2) op:
T-11,76-T-(8)(9,8)+96=4a+8a Any one/Enige een
T-11,76-T-78,4+96=12a
a=0,49 m∙s-2
T-11,76= 4(0,49) OR/OF -T-78,4+96= 8(0,49)
T= 13,72 N OR/OF T= 13,68 N OR/OF T= 13,71 N
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Physical Sciences P1/Grade 12 7 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 2/OPSIE 2
∑ F=ma OR/OF Fnet =ma OR/OF Fnet =ma
Direction of motion as negative/Rigting van beweging as negatief
Block A/Blok A:
T+fk = mA a OR/OF T+fk = mA a
-T+fk = mA a Any one/Enige een
-T+11,76= 4a (1)
Block B/Blok B:
T+Fg(B) +F= mA a OR/OF T+Fg(B) +F= mB a
T+Fg -F= mB a
Any one/Enige een
T+mB g-F= mB a
T+(8)(9,8)-96=8a
T+78,4-96= 8a (2)
T-17,6= 8a
Solving 1 and 2/Los 1 en 2 op:
-T+11,76+T+(8)(9,8)-96=4a+8a Any one/Enige een
-T+11,76+T+78,4-96=12a
a=-0,49 m∙s-2
-T+11,76= 4(-0,49) OR/OF +T+78,4-96= 8(-0,49)
T= 13,72 N
OPTION 3/OPSIE 3
∑ F=ma OR/OF Fnet =ma OR/OF Fnet =ma
Direction of motion as positive / Rigting van beweging as positief
Block A/Blok A:
T+fk = mA a OR/OF T+fk = mA a
T-fk = mA a Any one/Enige een
T-11,76= 4a
T-11,76
a= 4 (1)
Block B/Blok B:
T+Fg +F= mB a OR/OF 𝑻 + 𝑭𝑔 + 𝑭𝐴 = 𝑚𝐵 𝒂
-T-Fg(B) +F= mB a
Any one/Enige een
-T-mB g+F= mB a
-T-(8)(9,8)+96= 8a
-T-78,4+96= 8a (2)
Substitute (1) into (2)/Vervang (1) in (2):
T-11,76
(-T-78,4+96)= 8 ( )
4
T= 13,71 N
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Physical Sciences P1/Grade 12 8 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 4/OPSIE 4
∑ F=ma OR/OF Fnet =ma OR/OF Fnet =ma
Direction of motion as negative/Rigting van beweging as negatief
Block A/Blok A:
T+fk = mA a OR/OF T+fk = mA a
-T+fk = mA a Any one/Enige een
-T+11,76= 4a
-T+11,76
a= 4 (1)
Block B/Blok B:
T+Fg +F= mB a OR/OF T+Fg +F= mB a
+T+Fg(B) -F= mB a
+T+mB g-F= mB a Any one/Enige een
+T+(8)9,8)-96= 8a
+T+78,4-96= 8a (2)
Substitute (1) into (2)/Vervang (1) in (2):
-T+11,76
(+T+78,4-96)= 8 ( )
4
T= 13,71 N
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektornotasie nie gebruik is nie. (6)
[14]
QUESTION 3/VRAAG 3
3.1 A projectile is an object upon which the only force acting is the force of
gravity.
'n Projektiel is 'n voorwerp waarop die enigste krag wat daarop inwerk, die
gravitasiekrag is. (2)
3.2.1 OPTION 1/OPSIE 1
Positive downwards/Positief afwaarts:
vf =vi +a∆t OR/OF vf =vi +a∆t
245=0+9,8∆t
∆t=25 s
OPTION 2/OPSIE 2
Positive upwards/ Positief opwaarts:
vf =vi +a∆t OR/OF vf =vi +a∆t
-245=0-9,8∆t
∆t=25 s
OPTION 3/OPSIE 3
Positive downwards/Positief afwaarts:
2 2
vf = vi +2a∆y
(245)2 = 02 +2(9,8)∆y
∆y=+ 3062,5 m
v +v
∆y= ( i 2 f ) ∆t
0+245
3062,5= ( ) ∆t
2
∆t=25 s
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Physical Sciences P1/Grade 12 9 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 4/OPSIE 4
Positive upwards/Positief opwaarts:
2 2
vf = vi +2a∆y
(-245)2 = 02 +2(-9,8)∆y
∆y=-3062,5 m
v +v
∆y= ( i 2 f ) ∆t
0-245
-3062,5= ( ) ∆t
2
∆t=25 s
OPTION 5/OPSIE 5
Positive downwards/Positief afwaarts:
2 2
vf = vi +2a∆y
(245)2 = 02 +2(9,8)∆y
∆y=+3062,5 m
1
∆y=vi ∆t+ 2 a∆t2
1
3062,5=(0×t)+ 2 (9,8)∆t2
∆t=25 s
OPTION 6/OPSIE 6
Positive upwards/Positief opwaarts:
2 2
vf = vi +2a∆y
(-245)2 = 02 +2(-9,8)∆y
∆y=-3062,5 m
1
∆y=vi ∆t+ 2 a∆t2
1
-3062,5=(0×t)+ 2 (-9,8)∆t2
∆t=25 s
Note/Aantekening: Do not penalise if vector notation is not used./Moenie (3)
penaliseer indien vektornotasie nie gebruik is nie.
3.2.2 POSITIVE MARKING FROM 3.2.1/POSITIEWE NASIEN VANAF 3.2.1
OPTION 1/OPSIE 1
Positive downwards/Positief afwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
1 1 Any one/Enige een
viA ∆tA + a∆t2A = viB ∆tB + a∆t2B
2 2
1 1
0(25)+ (+9,8)(25)2 = viB (20)+ (+9,8)(20)2
2 2
viB =55,13 m∙s-1 downwards/afwaarts OR/OF viB =+55,13 m∙s-1
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OPTION 2/OPSIE 2
Positive upwards/Positief opwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
1 1 Any one/Enige een
viA ∆tA + a∆t2A = viB ∆tB + a∆t2B
2 2
1 1
0(25)+ (-9,8)(25)2 = viB (20)+ (-9,8)(20)2
2 2
viB =55,13 m∙s downwards/afwaarts OR/OF viB =-55,13 m∙s-1
-1
OPTION 3/OPSIE 3
Positive downwards/Positief afwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
1
∆yA =0(25)+ (+9,8)(25)2
2
∆𝑦𝐴 = +3062,5 𝑚
1
+3062,5 = 𝑣𝑖𝐵 (20) + (+9,8)(20)2
2
viB =55,13 m∙s-1 downwards/afwaarts OR/OF viB =+55,13 m∙s-1
OPTION 4/OPSIE 4
Positive upwards/Positief opwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
1
∆yA =0(25)+ (-9,8)(25)2
2
∆yA =-3062,5 𝑚
1
-3062,5= viB (20)+ (-9,8)(20)2
2
viB =55,13 m∙s-1 downwards/afwaarts OR/OF viB =-55,13 m∙s-1
OPTION 5/OPSIE 5
Positive downwards/Positief afwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
vi +vf 1 Any one/Enige een
( ) ∆t= viB ∆tB + a∆t2B
2 2
0+245 1
( ) (25)=viB (20)+ (+9,8)(20)2
2 2
viB =55,13 m∙s downwards/afwaarts OR/OF viB =+55,13 m∙s-1
-1
OPTION 6/OPSIE 6
Positive upwards/Positief opwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
vi +vf 1 Any one/Enige een
( ) ∆t= viB ∆tB + a∆t2B
2 2
0-245 1
( ) (25)=viB (20)+ (-9,8)(20)2
2 2
viB =55,13 m∙s-1 downwards/afwaarts OR/OF viB =-55,13 m∙s-1
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Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 7/OPSIE 7
Positive downwards/Positief afwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
2 2 Any one/Enige een
vf -vi 1
= viB ∆tB + a∆t2B
2a 2
2 2
(245) -0 1
=viB (20)+ (+9,8)(20)2
2(9,8) 2
viB =55,13 m∙s downwards/afwaarts OR/OF viB =+55,13 m∙s-1
-1
OPTION 8/OPSIE 8
Positive upwards/Positief opwaarts:
1 1
∆y=vi ∆t+ 2 a∆t2 OR/OF ∆y=vi ∆t+ 2 a∆t2
2 2 Any one/Enige een
vf -vi 1
= viB ∆tB + a∆t2B
2a 2
(-245)2 -02 1
=viB (20)+ (-9,8)(20)2
2(-9,8) 2
viB =55,13 m∙s-1 downwards/afwaarts OR/OF viB =-55,13 m∙s-1 (4)
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektorenotasie nie gebruik is nie.
3.3 POSITIVE MARKING FROM 3.2.2/POSITIEWE NASIEN VANAF 3.2.2
OPTION 1/ OPSIE 1
Positive downwards/Positief afwaarts:
v (m∙s-1)
251,13
vf =vi +a∆t
vf =55,13+9,8(20)
vf = 251,13 m∙s-1
55,13
0 20 t (s)
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Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 2/OPSIE 2
Positive upwards/Positief opwaarts:
v (m∙s-1)
vf =vi +a∆t
0
20 t (s)
- 55,13 vf =-55,13-9,8(20)
vf = - 251,13 m∙s-1
-251,13
Criteria for marking the graph/ Marks/
Kriteria vir die nasien van die grafiek. Punte
Initial velocity/Aanvanklike snelheid
Final velocity/Finale snelheid
Time taken for object B to reach object A/Tyd
geneem deur voorwerp B om voorwerp A te bereik.
Correct shape/Korrekte vorm.
(4)
[13]
QUESTION 4/VRAAG 4
4.1 Impulse is the product of the (resultant/net) force acting on an object and
the time the (resultant/net) force acts on the object. (2 or 0)
Impuls is die produk van die (resultante/netto) krag wat op 'n voorwerp
uitgeoefen word en die tyd wat die (resultante/netto) krag op die voorwerp
uitgeoefen word. (2 of) (2)
4.2 3 000 N (1)
4.3 Impulse (of the force)/Impuls (van die krag) (1)
4.4 OPTION 1/OPSIE 1
J=∆p OR/OF I=∆p OR/OF Impulse/Impuls=∆p
J=m(vf -vfi ) OR/OF J=mvf -mvfi
1
I= 2 Fmax ∆t ) OR/OF I=mvf -mvfi Any one/Enige een
Impulse=m(vf -vfi ) OR/OF Impulse/Impuls=mvf -mvfi
1 1
F ∆t=m(vf -vfi OR/OF 2 Fmax ∆t=mvf -mvfi
2 max
Positive towards the bat/Positief na die kolf toe:
1
(-3000) (6×10-3 ) = 0,16vf -(0,16)(+20)
2
vf =-36,25 m∙s-1
vf =36,25 m∙s-1
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OPTION 2/OPSIE 2
J=∆p OR/OF I=∆p OR/OF Impulse=∆p
J=m(vf -vfi ) OR/OF J=mvf -mvfi
1
I= 2 Fmax ∆t ) OR/OF I=mvf -mvfi Any one/Enige een
Impulse=m(vf -vfi ) OR/OF Impulse=mvf -mvfi
1 1
F ∆t=m(vf -vfi OR/OF 2 Fmax ∆t=mvf -mvfi
2 max
Negative towards the bat/Negatief na die kolf toe:
1
(+3000) (6×10-3 ) = 0,16vf -(0,16)(-20)
2
vf =-36,25 m∙s-1
vf =36,25 m∙s-1
OPTION 3/OPSIE 3
1 1
I=F∆t OR/OF J=F∆𝑡 OR/OF I= 2 Fmax ∆t OR/OF J= 2 Fmax ∆t
1
OR/OF Impulse/Impuls=F∆t OR/OF Impulse/Impuls= 2 Fmax ∆t
Positive towards the bat/Positief na die kolf toe:
1
I= (-3000)(6×10-3 ) Both/Beide
2
𝐼=-9,00 N·s
I=∆p= -9,00 kg·m·s-1
∆p=m(vf -vfi ) OR/OF ∆p=mvf -mvfi
-9=0,16vf -(0,16)(+20)
vf =-36,25 m∙s-1
vf =36,25 m∙s-1
OPTION 4/OPSIE 4
1 1
I=Fave ∆t OR/OF J=Fave ∆t OR/OF I= 2 Fmax ∆t OR/OF J= 2 Fmax ∆t
1
OR/OF Impulse/Impuls=F∆t OR/OF Impulse/Impuls= 2 Fmax ∆t
Negative towards the bat/Negatief na die kolf toe:
1 Both/Beide
I= (+3000)(6×10-3 )
2
I=+9,00 N·s
I=∆p = +9,00 kg·m·s-1
∆p=m(vf -vfi ) OR/OF ∆p=mvf -mvfi
+9=0,16vf -(0,16)(-20)
vf =+36,25 m∙s-1
vf =36,25 m∙s-1 (4)
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4.5 The cricket fielder pulls his arms towards his body to lengthen the time
while catching the ball. This will reduce the force acted upon him by the
∆p
ball and therefore reduces the chances of getting hurt. Fnet = ∆t as ∆p is
constant. By increasing time, the net force will decrease.
Die krieketspeler trek sy arms na sy liggaam toe om die tyd te verleng
terwyl hy die bal vang. Dit sal die krag verminder wat die bal op die speller
∆p
uitoefen en dus die kanse verminder dat die speler seer kry. 𝐹𝑛𝑒𝑡 = ∆t p is
konstant. Deur die tyd te verleng, sal die netto krag afneem.
OR/OF
For a constant Δp, pulling his arms towards his body lengthens the
contact time, thus reducing the force on his hands.
Vir 'n konstante Δp, as hy sy arms na sy liggaam trek, verleng die
kontaktyd, dus verminder die krag op sy hande.
(3)
[11]
QUESTION 5/VRAAG 5
5.1 The total linear momentum of a closed (isolated) system remains constant
(is conserved). (2 or 0)
Die totale lineêre momentum in 'n geslote (geïsoleerde) sisteem bly konstant
(bly behoue). (2 of 0)
OR/OF
In an isolated system, the total linear momentum before collision is equal to the
total linear momentum after collision (2 or 0)
In 'n geïsoleerde sisteem is die totale lineêre momentum voor botsing gelyk
aan die totale lineêre momentum na botsing. (2 of 0)
NOTE/LET WEL: (If key words "isolated” and "total" missing (-1 mark for
each)./Indien sleutelwoords "geïsoleer" en "totaal" uitgelaat is (-1 punt vir elk). (2)
5.2 A collision is elastic when both total linear momentum and total kinetic energy
are conserved (in the system).
'n Botsing is elasties wanneer beide totale lineêre momentum en totale
kinetiese energie behoue bly (in die sisteem). (2)
5.3 OPSION 1/OPSIE 1
∑ pafter/na - ∑ p(before/voor) =0
Any one/Enige een
∑ p(before/voor) = ∑ p(after/na)
mvball(bef/voor) +Mvobj(bef/voor) =(m)vball(after/na) +Mvobj(aft/na)
positive to the right/na regs is positief:
(0,1)(+10)+(4)(0) = (0,1)(0)+(4)vobject(after)
vobj(after/na) = +0,25 m·s-1
vobj(after/na) = 0,25 m·s-1
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OPSION 2/OPSIE 2
∑ pafter/na - ∑ p(before/voor) =0
Any one/Enig een
∑ p(before/voor) = ∑ p(after/na)
mvball(bef/voor +Mvobj(bef/voor =(m)vball(after/na) +Mvobj(after/na)
negative to the right/ na regs is negatief:
(0,1)(−10) + (4)(0) = (0,1)(0) + (4)𝑣𝑜𝑏𝑗(𝑎𝑓𝑡𝑒𝑟/𝑛𝑎)
vobj(after/na) = − 0,25 m·s-1
(4)
vobj(after/na) = 0,25 m·s-1
5.4 POSITIVE MARKING FROM 5.3/POSITIEWE NASIEN VANAF 5.3.
∑ Eki = ∑ Ekf Any one/Enige een
mv2i Mv2i mv2f Mv2f
+ = +
2 2 2 2
2 2
0,1×10 4×0 0,1v2f 4(0,25)2
+ = +
2 2 2 2
vball(final) = 9,87 m·s-1
EMi =EMf
EKi +EPi =EKf +EPf Any one/Enige een
1 2 1
mvi +mghi = mv2f +mghf
2 2
1 1
( (0,10)(9,87)2 +(0,10)(9,8)(0)= (0,10)(0)2 +(0,10)(9,8)hf )
2 2
hf =4,97 m (6)
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5.5 POSITIVE MARKING FROM 5.3/POSITIEWE NASIEN VANAF 5.3.
OPTION 1/OPSIE 1
Wnet =∆EK
fk ∆x cos θ=EKf -EKi
1 1 Any one/Enig een
fk ∆x cosθ= mv2f - mv2i
2 2
1 1
[(4,8)∆x cos180o ]= (2 (4)(0)2 - 2 (4)(0,25)2 )
∆x = 0,03 m
OPTION 2/OPSIE 2
Wnc =∆EM
Wnc =∆EK + ∆EP
fk ∆x cosθ=(EKf -EKi )+(EPf -EPi ) Any one/Enig een
1 1
fk ∆x cosθ= ( mv2f - mv2i ) +(mghf -mghi )
2 2
1 1
[(4,8)∆x cos180o ]= (2 (4)(0)2 - 2 (4)(0,25)2 +(4)(9,8)(0)-(4)(9,8)(0))
∆x = 0,03 m
(4)
[18]
QUESTION 6/VRAAG 6
6.1 Doppler effect 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.
Doppler-effek is die verandering in frekwensie (of toonhoogte) van die klank
waargeneem deur 'n luisteraaromdat die klankbron en die luisteraar verskillende
snelhede relatief tot die medium waarin die klank voortgeplant word, het.
OR/OF
The change in the observed frequency when there is relative motion between
the source and the observer.
Die verandering in die waargenome frekwensieas daar relatiewe beweging
tussen die klankbron en die luisteraar is. (2)
6.2 For the same (constant) speed of sound the frequency of sound is inversely
proportional to the wave lengthand as the locomotive approaches the listener
(girl) the sound waves emitted by the whistle are compresed in front of the
locomotive therefore the observed frequency is higher.
Vir dieselfde (konstante) spoed van klank is die frekwensie van klank
omgekeerd eweredig aan die golflengte en as die lokomotief die luisteraar
nader, word die klankgolwe wat deur die fluit uitgegee word, saamgepers aan
die voorkant van die lokomotief, en is die waargenome frekwensie hoër. (3)
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6.3 EQUAL TO/GELYK AAN
The driver of the locomotive is at rest relative to the source of sound.
Die bestuurder van die lokomotief beweeg nie relatief tot van die bron van klank
nie.
OR/OF
No relative motion between the train driver and locomotive.
Geen relatiewe beweging tussen drywer en lokomotief nie. (2)
6.4 OPTION 1/OPSIE 1
v±v v
fL = (v±vL ) fs OR/OF fL = (v+v ) fs
s s
340
1836= (340+v ) 2000
s
vs =30,37 m∙s-1
OPTION 2/OPSIE 2
v±v v
fL = (v±vL ) fs OR/OF fL = (v-v ) fs
s s
340
2196,2= (340-v ) 2000
s
vs =30,37 m∙s-1
OPTION 3/OPSIE 3
fs
fL = vs
1+ v
2000
1836= vs
1+ 340
vs =30,37 m∙s -1
OPTION 4/OPSIE 4
fs
fL = vs
1+ v
2000
2196,2= vs
1- 340
vs =30,37 m∙s-1 (5)
6.5 ANY ONE
It is used (in flow meters) in medical science to measure:
- the speed and direction (velocity) of blood flow.
- movement of the heart of a foetus.
To find the rate of blood flow (Doppler scanning)
To see the unborn child (Ultra sound scanning)
To hear the heart of a foetus (Ultra sound scanning)
It is used in medical sonography to generate images (and sounds) of
flowing blood.
To detect blood clotting (Doppler ultrasound test)
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ENIGE EEN
Dit word (in vloeimeters) gebruik in mediese wetenskap om die
volgende te meet:
- Die spoed en rigting (snelheid) van bloedvloei.
- Beweging van 'n fetus se hart.
Om die tempo van bloedvloei te meet (Doppler skandering)
Om 'n ongebore baba te sien (Ultraklankskandering)
Om die hart van 'n fetus te hoor (Ultraklankskandering)
Dit word gebruik in mediese sonografie om beelde (en klanke) te vorm van
vloeiende bloed.
Om vorming van bloedklonte op te spoor. (Doppler- ultraklamktoets)
(1)
[13]
QUESTION 7/VRAAG 7
7.1
Shape (radial)/Vorm (radiaal)
Correct direction/Korrekte rigting
(2)
7.2 An electric field is a region of space in which an electric charge experiences a
force. The direction of the electric field at a point is the direction that a
positive test charge would move if placed at that point.
'n Elektriese veld is 'n gebied in die ruimte waarin 'n elektriese lading 'n krag
ondervind. Die rigting van die elektriese veld by 'n punt is die rigting waarin 'n
positiewe toetslading wat by die punt geplaas is, sal beweeg. (2)
7.3 Q=ne
Q=(3,125 ×1010 ) (1,6 ×10-19 )
(3)
Q=+5×10-9 C
7.4 POSITIVE MARKING FROM 7.3/POSITIEWE NASIEN VANAF 7.3.
kQ
E= r2
(9,0×109 )(5×10-9 )
E=
(0,8)2
-1
E=70,31 N∙C away from the charge/weg van die lading. (3)
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7.5 GREATER THAN/GROTER AS
The electric field at a point due to a point charge is inversely proportional to
1
the square of the distance between the point and the charge/(𝐸 ∝ 𝑟 2 )
Die elektriese veld by 'n punt as gevolg van 'n puntlading is omgekeerd
eweredig aan die kwadraat van die afstand tussen die punt en die lading
1
/(𝐸 ∝ 𝑟 2 )
OR/OF
The distance from the charge to point M is smaller than the distance from the
charge to point P.
Die afstand vanaf die lading na punt M is kleiner as die afstand vanaf die (2)
lading na punt P.
7.6
x d
+ - +
FxonQ Q FyonQ Qy Qx x
OPTION 1/OPSIE 1
Fx on Q +Fy on Q =0 OR/OF -Fx on Q +Fy on Q =0 OR/OF Fx on Q =Fy on Q Any one/
Enige een
Q Q Q √Qy
Qx Q Qx √Qx
k y
2 =k x2 OR/OF√ √ y
2 = x2 OR/OF d+x = x
(d+x) (d+x)
√(5×10-9 ) √(4×10-9 )
=
0,4+x x
x=3,39 m
OPTION 2/OPSIE 2
Fx on Q +Fy on Q =0 OR/OF -Fx on Q +Fy on Q =0 OR/OF Fx on Q =Fyon Q
Qx Q Qy Q 2
k 2 =k x2 OR/OF Qx x2 =Qy (d+x)
(d+x)
OR/OF
Any one/
Qx x2 =Qy d2 +2Qy dx+Qy x2
Enige een
OR/OF
Qx x2 -Qy d2 -2Qy dx-Qy x2 =0
OR/OF
(Qx -Qy )x2 -2Qy dx-Qy d2 =0
(5×10-9 -4×10-9 ) x2 -2 (4×10-9 ) (0,4)x-4×10-9 (0,4)2 =0
OR/OF
(10-9 ) x2 -(3,2×10-9 )x+0,64×10-9 =0
OR/OF
x2 -3,2x-0,64=0
OR/OF
3,2±√(3,2)2 -4(1)(-0,64) 3,2±√(3,2)2 +4(1)(0,64)
x= OR/OF x=
2 2
x = 3,39 m
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OPTION 3/OPSIE 3
Fnet =0
Fx on Q +Fy on Q =0 OR/OF -Fx on Q +Fy on Q =0 OR/OF Fx on Q =Fy on Q
Any one/
QEx +QEy =0 OR/OF -QEx +QEy =0 OR/OF QEx =QEy Enige een
Q Q 𝑄
Enige een
Qx Qx √Qx √ 𝑦
k y
2 =k x2 OR/OF√
√ y
2 = x2 OR/OF d+x = 𝑥
(d+x) (d+x)
√(5×10-9 ) √(4×10-9 )
=
0,4+x x
x=3,39 m
OPTION 4/OPSIE 4
x d
- +
Qy Qx x
Ex Ey
Fnet =0
Fnet =qEnet =0
Therefore/Daarom
Enet =0 Any one/Enige een
Ex +Ey =0 OR/OF -Ex +Ey =0 OR/OF Ex =Ey
Qx Q Qx Q √Q Q
√ y
k 2 =k x2y OR/OF√ 2 =√ x2y OR/OF d +xx = x
(d+x) (d+x)
√(5×10−9 ) √(4×10−9 )
0,4+𝑥
= 𝑥
x=3,39 m
(4)
[16]
QUESTION 8/VRAAG 8
8.1 The potential difference across a conductor is directly proportional to the
current in the conductor at constant temperature. (2 or 0)
Die potensiaalverskil oor 'n geleier is direk eweredig aan die stroom in die
geleier by konstante temperatuur. (2 of 0)
OR/OF
The current in a conductor is directly proportional to the potential difference
across the conductor at constant temperature. (2 or 0)
Die stroom in 'n geleier is direk eweredig aan die potensiaalverskil oor die
geleier by konstante temperatuur. (2 of 0) (2)
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8.2.1 OPTION 1/OPSIE 1
R3 R4 10×10
R234 =R2 + ( ) = 10+ ( ) =15 Ω
R3 +R4 10+10
R1 and/en R234 are/is in parallel
R ×R 1 1 1
R1234 = R1 +R234 OR/OF R = R + R
1 234 P 1 p2
15×15 1 1 1
R1234 = 15+15 OR/OF = 15 + 15
Req
R1234 =7,5 Ω
ε
I= R+r OR/OF (emf/emk) ε=I(R+r)
12
I= 7,5+0,5 OR/OF 12=I(7,5+0,5)
I=1,5 A
OPTION 2/OPSIE 2
R3 and/en R4 are/is in parallel
1 1 1
= +
RP R1 R2
1 1 1 Any one/Enige een
= +
R34 10 10
R34 = 5 Ω
R2 and R34 are in series/R2 en R34 is in serie
R234 = R2 + R34
R234 = 10 + 5 Any one/Enige een
R234 = 15 Ω
R1 and/en R234 are/is in parallel
1 1 1
= +
RP R1 Rp2
1 1 1
= 15 + 15
Req
R1234 =7,5 Ω
ε
I= R+r OR/OF (emf/emk) ε=I(R+r)
12
I= 7,5+0,5 OR/OF 12=I(7,5+0,5)
I=1,5 A
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OPTION 3/OPSIE 3
R3 and/en R4 are/is in parallel
R 3 ×R 4
R 34 =
R 3 +R 4 Any one/Enige een
10×10
R34 =
10+10
R34= 5 Ω
R2 and R34 are in series/R2 en R34 is in serie
R234= R2 + R34
Any one/Enige een
R234= 10 + 5
R234= 15 Ω
R1 and/en R234 are/is in parallel
R ×R
R1234 = R1 +R234
1 234
15×15
R1234 = 15+15
R1234 =7,5 Ω
ε
I= R+r OR/OF (emf/emk) ε=I(R+r)
12
I= 7,5+0,5 OR/OF 12=I(7,5+0,5)
I=1,5 A
OPTION 4/OPSIE 4
1 1 1
=R +R
R P 1 p2
-1
1 1
RT =Rp = (15 + ) =7,5 Ω
1 1 -1
10+( + )
10 10
ε
I= R+r OR/OF (emf/emk) ε=I(R+r)
12
I= 7,5+0,5 OR/OF 12=I(7,5+0,5)
I=1,5 A (6)
8.2.2 POSITIVE MARKING FROM 8.2.1/POSITIEWE NASIEN VANAF 8.2.1.
OPTION 1/OPSIE 1
IT =I1 +I2
I1 =I2
IT =2I
1,5=2I
I=0,75 A
P=I2 R
P=(0,75)2 15
P = 8,44 W
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OPTION 2/OPSIE 2
IT =I1 +I2
I1 =I2
IT =2I
1,5=2I
I=0,75 A
V=IR
V=(0,75)(15) Both/Beide
V=11,25 V
V2
P=
R
(11,25)2
P= R15
P=8,44 W
OPTION 3/OPSIE 3
IT =I1 +I2
I1 =I2
IT =2I
1,5=2I
I=0,75 A
𝑉=IR
V=(0,75)(15) Both/Beide
V=11,25 V
P=VI
P=11,25×0,75
P=8,44 W (4)
8.2.3 POSITIVE MARKING FROM 8.2.1/POSITIEWE NASIEN VANAF 8.2.1.
OPTION 1/OPSIE 1
I2 =I3 +I4
I3 =I4
I2 =2I3
0,75=2I
I=0,375 A
V=IR
V=(0,375)(10)
V=3,75 V
OPTION 2/OPSIE 2
IT =I1 +I2
I1 =I2
IT =2I
1,5=2I
I2 =I34 =0,75 A
V=IR
V=(0,75)(5)
V=3,75 V
(3)
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8.3.1 DECREASES/AFNEEM
Emf is constant therefore current is inversely proportional to total resistance.
External resistance increases therefore total resistance increases,
hence current decreases.
Emk is konstant, daarom is die stroom omgekeerd eweredig aan totale
weerstand. Eksterne weerstand neem toe dus neem totale weerstand toe,
en stroom neem af. (3)
8.3.2 INCREASES/TOENEEM
Total current decreases then less drop in potential (voltage drop) in the
internal resistance and emf is constanttherefore according do 𝑉 = 𝜀 − 𝐼𝑟
terminal potential increases.
Totale stroom neem af, dus minder afname in potensiaal oor die interne
weerstand en emk is konstante, en volgens V = ε - Ir sal die terminale
potensiaal verhoog. (3)
[21]
QUESTION 9/VRAAG 9
9.1 DC generator (dynamo)
GS–generator (dinamo) (1)
9.2 Mechanical energy to electrical energy.
Meganiese energie na elektriese energie. (1)
9.3 X Armature/Anker
OR/OF
Coil/spoel (1)
9.4.1 (Y) Carbon brushes ensure that the coil is connected to the external
circuit.
Koolstofborsels verseker dat die spoel aan die eksterne stroombaan verbind
is. (1)
9.4.2 (Z) Split ring or commutator ensures that the direction of the current in the
external circuit remains the same.
Splitring of kommutator verseker dat die rigting van die stroom in die
eksterne stroombaan dieselfde bly. (1)
9.5.1 V
Vrms/wgk = max
√2
12,73
Vrms/wgk =
√2
Vrms/wgk =9,00 V (3)
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Physical Sciences P1/Grade 12 25 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
9.5.2 POSITIVE MARKING FROM QUESTION 9.5.1/POSITIEWE NASIEN VAN
VRAE 9.5.1.
OPTION 1/OPSIE 1
V2
Pave/gem = rms/wgk
R
(9)2
= 25
Pave/gem =3,24 W
OPTION 2/OPSIE 2
Vrms/wgk
Irms/wgk =
R
9.00
=
25
Irms/wgk =0,36 A
Pave/gem =Vrms/wgk Irms/wgk
=9,00 ×0,36
Pave/gem =3,24 W
OPTION 3/OPSIE 3
Vrms/wgk
Irms/wgk =
R
9.00
=
25
Irms/wgk =0,36 A
Pave/gem =I2rms/wgk R
=(0,36)2 (25)
Pave/gem =3,24 W
OPTION 4/OPSIE 4
Vmax
Irms/wgk =
R√2
12,73
=
25√2
Irms/wgk =0,36 A
Pave/gem =Vrms/wgk Irms/wgk
=9,00 ×0,36
Pave/gem =3,24 W
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Physical Sciences P1/Grade 12 26 September 2019
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 5/OPSIE 5
Vmax (3)
Irms/wgk =
R√2
12,73
Irms/wgk =
25√2
Irms/wgk =0,36 A
Pave/gemiddeld =I2rms/wgk R
Pave/gemiddeld =(0,36)2 (25)
Pave/gemiddeld =3,24 W
[11]
QUESTIONS 10/VRAAG 10
10.1 Photoelectric effect/foto-elektriese effek. (1)
10.2 It establishes the quantum theory and it illustrates the particle nature of
light.
Dit bevestig die kwantumteorie en dit illustreer die deeltjie-aard van lig. (2)
10.3 The work function of a metal is the minimum energy that an electron in the
metal needs to be emitted from the metal surface.
Die werkfunksie van 'n metaal is die minimum energie benodig om 'n
elektron uit die oppervlak van 'n metaal vry te stel.
(2)
10.4 Ekmax = E – W o
hc Any one/Enige een
Ekmax = λ - W o
6,63×10-34 ×3×108
Ekmax = -7
- 6,7 x 10-19
2×10
19,89×1026
Ekmax = - 6,7 x10-19
2×10-7
Ekmax = 9,95 x 10-19 J - 6,7 x10-19 J
Ekmax = 3,25 x 10-19 J
(4)
10.5 Increases/Vermeerder
With light of higher intensity more photons strikes the metal surface per
second/Met lig van hoër intensiteit tref meer fotone die metaaloppervlak
per sekonde
Thus more (photo) electrons are emitted per second, resulting in a bigger
current./Dus word meer (foto-)elektrone per sekonde vrygestel wat ‘n hoër
stroom tot gevolg het. (3)
10.6 REMAINS THE SAME/BLY DIESELFDE. (1)
[13]
TOTAL/TOTAAL: 150
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