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Physical Sciences P1/Grade 12 1 NC/ September 2021
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
—————————————————————
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 2021
MARKS/PUNTE: 150
TIME/TYD: 3 hours/uur
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Hierdie memorandum bestaan uit 26 bladsye.
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Physical Sciences Grade 12 Northern Cape Mock 2021 Memo
Grade 12 Physical Sciences memorandum from the Northern Cape Mock Exam 2021, 26 pages. Read online or download the free PDF.
Physical Sciences · Grade 12 · Northern Cape Mock Exam · 2021. Memorandum, 26 pages. Read online or download the PDF.
- Subject
- Physical Sciences
- Grade
- Grade 12
- Document type
- Memorandum
- Year
- 2021
- Exam period
- Northern Cape Mock Exam
- Curriculum
- CAPS
- Pages
- 26
- File size
- 853.0 KB
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Physical Sciences P1/Grade 12 2 NC/ September 2021
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 NC/ September 2021
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 NC/ September 2021
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 NC/ September 2021
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 1/VRAAG 1
1.1 D (2)
1.2 B (2)
1.3 A (2)
1.4 B (2)
1.5 C (2)
1.6 D (2)
1.7 D (2)
1.8 A (2)
1.9 B (2)
1.10 C (2)
[20]
QUESTION 2/VRAAG 2
2.1
NOTE: -1 mark for each key word/phrase omitted in the correct context.
LET WEL:-1 punt vir elke sleutel word/frase in die korrekte konteks weggelaat.
A body will remain in its state of rest or motion at constant velocity unless a
non-zero resultant/net force acts on it.
'n Liggaam sal in sy toestand van rus of beweging teen konstante snelheid
volhard, tensy 'n nie-nul resulterende/netto krag daarop inwerk.
OR/OF
A body will remain in its state of motion (at rest or moving at constant velocity)
until a net force acts on it.
'n Liggaam sal in sy toestand van beweging (in rus of beweging teen konstante
snelheid) volhard, totdat 'n netto krag daarop inwerk.
(2)
2.2 OPTION 1/OPSIE 1
Block A/Blok A
⃗Fnet =0
Any one/Enige een
𝑓s +T ⃗ =0
-fs +T=0
Block B/Blok B
⃗Fg +T ⃗ =0
Any one/Enige een
Fg -T=0
mB g-T=0
Solving
-fs +T+mB g-T=0
fs =mB g
fs =5×9,8
𝑓𝑠 = 49,00 𝑁
Note/Aantekening: Do not penalise if vectors notation is not used./Moenie (4)
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Physical Sciences P1/Grade 12 6 NC/ September 2021
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
penaliseer indien vektornotasie nie gebruik word nie.
2.3.1
⃗T ACCEPT/AANVAAR ⃗T
𝐹 𝐹
𝐹𝑔 𝐹𝑔
Accepted labels/Aanvaarde benoemings
F Fapp / FA/applied force
Ftoegepas / FT/toegepaste krag
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 7 NC/ September 2021
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
2.3.2 OPTION 1/OPSIE 1
Direction of motion as positive/Rigting van beweging as positief
Block A/Blok A
∑ ⃗F=ma ⃗ OR/OF ⃗Fnet =ma ⃗ OR/OF Fnet =ma
⃗T+fk = mA ⃗a OR/OF T+fk = mA a
T-fk = mA a
Any one/Enige een
T − 46 = 4a (1)
Block B/Blok B:
⃗ +F
T ⃗ g +F
⃗ = mB ⃗a OR/OF T+Fg +F= mB a
-T+Fg(B) +F= mB a
-T+mB g+F= mB a
-T+(5)(9,8)+15= 5a 4a OR/OF 5a
-T+49+15= 5a
-T+64 = 5a (2)
Solving (1) and (2)/Los (1) en (2) op:
T − 46 − T+(5)(9,8)+15 = 4a+5a
T − 46 − T+49+15 = 9a
a= 2,00 m∙s-2 Accept/Aanvaar a= 2 m∙s-2
OPTION 2/OPSIE 2
Direction of motion as negative/Rigting van beweging as negatief
Block A/Blok A
∑ ⃗F=ma ⃗ OR/OF ⃗Fnet =ma ⃗ OR/OF Fnet =ma
⃗T+fk = mA ⃗a OR/OF T+fk = mA a
−T+fk = mA a
−T + 46 = 4a (1) Any one/Enige een
Block B/Blok B:
⃗T+F
⃗ g +F
⃗ = mB ⃗a OR/OF T+Fg +F= mB a
+T − Fg(B) − F= mB a
+T − mB g − F= mB a
+T − (5)(9,8) − 15= 5a 4a OR/OF 5a
+T − 49 − 15 = 5a
+T − 64 = 5a (2)
Solving (1) and (2)/Los (1) en (2) op:
−T+46+T − (5)(9,8) − 15 = 4a+5a
−T+46+T − 49 − 15 = 9a
a=2,00 m∙s-2 Accept/Aanvaar a= 2 m∙s-2
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektornotasie nie gebruik is nie. (5)
2.4 - Smaller than /Kleiner as (2)
-
- Fnet decreases./Fnet Neem af.
[16]
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Physical Sciences P1/Grade 12 8 NC/ September 2021
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 3/VRAAG 3
3.1 A projectile is an object which has been given an initial velocity and then it
moves under the influence of the gravitational force only.
'n Projektiel is 'n voorwerp waaraan 'n beginsnelheid gegee is en wat dan slegs
onder die invloed van die gravitasiekrag beweeg.
(2 or/of 0)
3.2 ∆y= 0 (m)/Zero (1)
3.3.1 Marking criteria/Nasienriglyne
Any vorrect formula/Enige kprrekte formule
Whole substitution/Hele vervanging
Final answer/Finale antwoord
OPTION 1/OPSIE 1
Positive downwards/Positief afwaarts:
1 1
⃗ i ∆t+ ⃗a∆t2 OR/OF ∆y=vi ∆t+ a∆t2
⃗ =v
∆y 2 2
1
+19,6 =(0)∆t+ 2 (+9,8)∆t2
∆t = 2s
ΔtTOTAL = 4s/ total t = 4 s
OPTION 2/OPSIE 2
Positive upwards/ Positief opwaarts:
1 1
⃗ i ∆t+ ⃗a∆t2 OR/OF ∆y=vi ∆t+ a∆t2
⃗ =v
∆y 2 2
1
−19,6 =(0)∆t+ 2 (-9,8)∆t2
∆t = 2s
ΔtTOTAL = 4s/ total t = 4 s
OPTION 3/OPSIE 3
Positive downwards/Positief afwaarts:
2 2
⃗vf = ⃗vi +2a ⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
v2 = 02 +2(9,8)(+19,6)
vf =+ 19,6 m∙𝑠 −1
⃗v +v⃗ v +v
∆y⃗ = ( i f ) ∆t OR/OF ∆y= ( i f ) ∆t
2 2
0+19,6
+19,6= ( 2 ) ∆t
∆t = 2s
ΔtTOTAL = 4s/ total t = 4 s
OPTION 4/OPSIE 4
Positive upwards/ Positief opwaarts:
2 2
⃗vf = ⃗vi +2a ⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
v2 = 02 +2(9,8)( − 19,6)
vf =- 19,6 m∙𝑠 −1
⃗v +v⃗ v +v
∆y⃗ = ( i f ) ∆t OR/OF ∆y= ( i f ) ∆t
2 2
0+(−19,6)
-19,6= [ 2 ] ∆t
∆t = 2s
ΔtTOTAL = 4s/ total t = 4 s
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Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 5/OPSIE 5
Positive downwards/Positief afwaarts:
2 2
⃗vf = ⃗vi +2a ⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
v2 = 02 +2(9,8)(+19,6)
vf =+ 19,6 m∙𝑠 −1
⃗vf =v ⃗ ∆t OR/OF vf =vi +a∆t
⃗ i +a
+19,6=0+(+9,8)∆t
∆t = 2s
ΔtTOTAL = 4s/ total t = 4 s
OPTION 6/OPSIE 6 (3)
Positive upwards/ Positief opwaarts:
2 2
⃗vf = ⃗vi +2a ⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
v2 = 02 +2(9,8)( − 19,6)
vf =- 19,6 m∙𝑠 −1
⃗vf =v ⃗ ∆t OR/OF vf =vi +a∆t
⃗ i +a
-19,6=0+(-9,8)∆t
∆t = 2s
ΔtTOTAL = 4s/ total t = 4 s
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektornotasie nie gebruik is nie.
3.3.2 Marking criteria/Nasienriglyne
Any correct formula/Enige kprrekte formule
Whole substitution/Hele vervanging
Final answer/Finale antwoord
POSITIVE MARKING FROM 3.3.1/POSITIEWE NASIEN VANAF 3.3.1
OPTION 1/OPSIE 1
From bottom to top/Van onder na bo
Positive upwards/ Positief opwaarts:
⃗v +v⃗ v +v
⃗ = ( i f ) ∆t OR/OF ∆y= ( i f ) ∆t
∆y 2 2
v +0
+19,6= ( i2 ) 2
vi = + 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts. Accept
OPTION 2/OPSIE 2
From bottom to top/Van onder na bo
Positive downwards/Positief afwaarts:
⃗v +v⃗ v +vf
⃗ = ( i f ) ∆t OR/OF ∆y= ( i
∆y ) ∆t
2 2
v +0
-19,6= ( i2 ) 2
vi = − 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
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Physical Sciences P1/Grade 12 10 NC/ September 2021
Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 3/OPSIE 3
From bottom to top/Van onder na bo
Positive upwards/ Positief opwaarts:
⃗vf =v ⃗ ∆t OR/OF vf =vi +a∆t
⃗ i +a
0=vi +( − 9,8)2
vi = + 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 4/OPSIE 4
From bottom to top/Van onder na bo
Positive downwards/Positief afwaarts:
⃗vf =v ⃗ ∆t OR/OF vf =vi +a∆t
⃗ i +a
0=vi +(+9,8)2
vi = − 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 5/OPSIE 5
From bottom to top/Van onder na bo
Positive upwards/ Positief opwaarts:
2 2
⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
⃗vf = ⃗vi +2a
2
0 = v2i +2(-9,8)( + 19,6)
vi = + 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 6/OPSIE 6
From bottom to top/Van onder na bo
Positive downwards/Positief afwaarts:
2 2
⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
⃗vf = ⃗vi +2a
2
02 = vi +2(+9,8)( − 19,6)
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OR/OF
vi = + 19,6 m∙𝑠 −1
OPTION 7/OPSIE 7
From top to bottom/ Van bo na onder
Positive downwards/Positief afwaarts:
⃗v +v⃗ v +v
⃗ = ( i f ) ∆t OR/OF ∆y= ( i f ) ∆t
∆y 2 2
0+v
+19,6= ( 2 f ) 2
vf = + 19,6 m∙𝑠 −1
vi = − 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
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Fisiese Wetenskappe V1/Graad 12 Marking Guidelines/Nasienriglyne
OPTION 8/OPSIE 8
From top to bottom/ Van bo na onder
Positive upwards/ Positief opwaarts:
⃗v +v⃗ v +v
⃗ = ( i f ) ∆t OR/OF ∆y= ( i f ) ∆t
∆y 2 2
0+v
-19,6= ( 2 f) 2
vf = − 19,6 m∙𝑠 −1
vi = + 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 9/OPSIE 9
From top to bottom/ Van bo na onder
Positive downwards/Positief afwaarts:
⃗vf =v ⃗ ∆t OR/OF vf =vi +a∆t
⃗ i +a
vf =0+(+9,8)2
vf =+ 19,6 m∙𝑠 −1
vi =- 19,6 m∙𝑠 −1
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 10/OPSIE 10
From top to bottom/ Van bo na onder
Positive upwards/ Positief opwaarts:
⃗vf =v ⃗ ∆t OR/OF vf =vi +a∆t
⃗ i +a
vf =0+( − 9,8)2
vf = − 19,6 m∙𝑠 −1
vi = + 19,6 m∙𝑠 −1
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 11/OPSIE 11
From top to bottom/ Van bo na onder
Positive downwards/Positief afwaarts:
2 2
⃗vf = ⃗vi +2a ⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
v2f = 02 +2(+9,8)( + 19,6)
vf = + 19,6 m∙𝑠 −1
vi = -19,6 m∙𝑠 −1 (3)
OR/OF
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OPTION 12/OPSIE 12
From top to bottom/ Van bo na onder
Positive upwards/ Positief opwaarts:
2 2
⃗vf = ⃗vi +2a ⃗ OR/OF v2f = v2i +2a∆y
⃗ ∆y
v2f = 02 +2(-9,8)( − 19,6)
vf =19,6 m∙𝑠 −1
vi = 19,6 m∙𝑠 −1upwards/afwaarts.
OR/OF
vi = + 19,6 m∙𝑠 −1
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektorenotasie nie gebruik is nie.
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3.4 POSITIVE MARKING FROM 3.3.1/POSITIEWE NASIEN VANAF 3.3.1
OPTION 1/ OPSIE 1
Positive upwards/Positief opwaarts:
y(m)
19,6
0 2 4 t (s)
OPTION 2/ OPSIE 2
Positive upwards/Positief opwaarts:
y(m)
0 2 4 t (s)
-19,6
OPTION 3/OPSIE 3
Positive downwards/Positief afwaarts:
y (m)
0 2
4
t
-19,6
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OPTION 4/OPSIE 4
Positive downwards/Positief afwaarts:
y (m)
19,6
0
2 4 t (s)
Criteria for marking the graph/ Marks/
Kriteria vir die nasien van die grafiek. Punte
Initial and final position (19,6 m) /Aanvanklike en finale posisie
(19,6m).
The time taken by the ball to reach the ground and the time taken by
the ball to reach the starting point./ Die tyd wat die bal neem om die
grond te bereik en die tyd wat die bal neem om die beginpunt te
bereik.
Correct shape/Korrekte vorm. (3)
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QUESTION 4/VRAAG 4
4.1 NOTE: -1 Mark for each key word /phrase omitted in the correct context.
LET WEL: - 1 punt vir elke sleutelwoord/frase weggelaat in die korrekte
konteks.
(2)
The total mechanical energy (sum of gravitational potential energy and kinetic
energy) in an isolated system remains constant.
Die totale meganiese energie (som van gravitasie- potensiële energie en
kinetiese energie) in 'n geslote sisteem bly konstant.
4.2 OPTION 1/OPSIE 1
∆EM =0
EMf -EMi =0
EMi =EMf Any One/Enige een
EKi + EPi = EKf + EPf
1 1
(mP +mQ )v2i +(mP +mQ )ghi = (mP +mQ )v2f +(mP +mQ )ghf
2 2
1 2 1
[ (4+6)(4,5) +(4+6)(9,8)(6)] = [ (4+6)v2f +(4+6)(9,8)(0)]
2 2
OR/OF
1 1
[ (10)(4,5)2 +(10)(9,8)(6)] = [ (10)v2f +(10)(9,8)(0)]
2 2
v=11,74 m∙s -1
OPTION 2/OPSIE 2
∆EM =0
∆EK +∆Ep =0
Any One/Enige een
(EKf -EKi )+(EPf -EPi )= 0
1 1
[ (mP +mQ )v2f - (mP +mQ )v2i ] +[(mP +mQ )ghf -(mP +mQ )ghi ]=0
2 2
1 1
[ (4+6)v2f - (4+6)(4,5)2 ] +[(4+6)(9,8)(0) − (4+6)(9,8)(6)]=0
2 2
OR/OF
1 1
[ (10)v2f - (10)(4,5)2 ] +[(10)(9,8)(0) − (4+6)(9,8)(6)]=0
2 2
v=11,74 m∙s-1
OPTION 3/OPSIE 3
∆EM =0
∆EK +∆Ep =0 Any One/Enige een
(EKf -EKi )= -(EPf -EPi )
1 1
[ (mP +mQ )v2f - (mP +mQ )v2i ] = − [(mP +mQ )ghf − (mP +mQ )ghi ]
2 2
1 2
1
[ (4 + 6)𝑣𝑓 − (4 + 6)(4,5)2 ] +[(4+6)(9,8)(0) − (4+6)(9,8)(6)]
2 2
OR/OF
1 1
[ (10)𝑣𝑓2 − (10)(4,5)2 ] = − [(10)(9,8)(0) − (4+6)(9,8)(6)]
2 2
v=11,74 m∙s-1
(4)
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4.3 OPTION 1/OPSIE 1 (1)
∑ ⃗pafter/na - ∑ ⃗p(before/voor) =0
Any one / Enige een
∑ ⃗p(before/voor) = ∑ ⃗p(after/na)
mP⃗vP(bef/voor) +mQ⃗vQ(bef/voor) =(mP )v
⃗ P(after/na) +mQ⃗vQ(aft/na)
NOTE/LET WEL:
positive to the right/na regs is positief: 11,74 - 100%
(4)(+11,74)+(6)(+11,74) = (4)v ⃗ P(after/na) +(6)(+12,914) X - 10 %
11,74 × 10
⃗vP(after/na) = +9,979 m·s OR/OF ⃗vP(after/na) = +9,98 m·s-1
-1
𝑋= = 1,174
100
OR/OF vQ= 11,74 + 1,174
⃗vP(after/na) = 9,98 m·s-1 to the right/na regs
vQ= 12,914 m∙s-1
OPTION 2/OPSIE 2
∑ ⃗pafter/na - ∑ ⃗p(before/voor) =0
∑ ⃗p(before/voor) = ∑ ⃗p(after/na) Any one / Enige een
mP⃗vP(bef/voor) +mQ⃗vQ(bef/voor) =(mP )v
⃗ P(after/na) +mQ⃗vQ(aft/na)
positive to the left/na links is positief:
(4)( − 11,74)+(6)( − 11,74) = (4)v ⃗ P(after/na) +(6)(−12,914)
⃗vP(after/na) = −9,979 m·s OR/OF ⃗vP(after/na) = −9,98 m·s-1
-1
OR/OF
⃗vP(after/na) = 9,98 m·s-1 to the right/na regs
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektornotasie nie gebruik is nie.
4.4 OPTION 1/OPSIE 1
⃗F∆t=∆p ⃗ OR/OF FΔt = Δp
⃗J=∆p ⃗ OR/OF I=∆p ⃗ OR/OF Impulse/Impuls=∆p Any one/Enige een
⃗J=𝑝𝑓 − 𝑝𝑖
⃗J=m(v ⃗ fi ) OR/OF ⃗J=mv
⃗ f -v ⃗ f -mv
⃗ fi
positive to the right/na regs is positief:
⃗J=4[(+9,98-(+11,74)] OR/OF ⃗J= [(4)(+9,98)]-[(4)(+11,74)]
⃗J= - 7,00 N∙s
J= 7,00 N∙s Accept/Aanvaar J/I/Impulse/Impuls= 7 N∙s
OPTION 2/OPSIE 2
⃗F∆t=∆p ⃗ OR/OF FΔt = Δp
⃗J=∆p ⃗ OR/OF I=∆p ⃗ OR/OF Impulse/Impuls=∆p Any one/Enige een
⃗J=𝑝𝑓 − 𝑝𝑖
⃗J=m(v ⃗ fi ) OR/OF ⃗J=mv
⃗ f -v ⃗ f -mv
⃗ fi
positive to the left/na links is positief:
⃗J=4[(-9,98-(-11,74)] OR/OF ⃗J= [(4)(−9,98)]-[(4)(−11,74)]
⃗J= +7,00 N∙s
J= 7,00 N∙s Accept/Aanvaar J/I/Impulse/Impuls= 7 N∙s
Note/Aantekening: Do not penalise if vector notation is not used./Moenie
penaliseer indien vektornotasie nie gebruik is nie. (4)
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QUESTION 5/VRAAG 5
5.1
NOTE: -1 Mark for each key word /phrase omitted in the correct context.
LET WEL: - 1 punt vir elke sleutelwoord/frase weggelaat in die korrekte
konteks.
(2)
The net work done on an object is equal to the change in the object's kinetic
energy.
Die netto arbeid verrig op 'n voorwerp is gelyk aan die verandering in kinetiese
energie van die voorwerp
OR/OF
The work done on an object by a net force is equal to the change in the object's
kinetic energy.
Die arbeid verrig op die voorwerp deur 'n netto krag is gelyk aan die
verandering in kinetiese energie van die voorwerp.
5.2 OPTION 1/OPSIE 1
Wnet =∆EK
(Fg -ff )∆xcos θ = EKf − EKi Any One /Enige een
1 1
(Fg -ff )∆xcos θ = mv2f - mv2i
2 2
1 1
[(80×9,8)-172 ]×4×(cos0o )= 2 (80)v2f - 2 (80)(0)2 )
v = 7,82 m∙s-1
OPTION 2/OPSIE 2
Wnet =∆EK
𝑊𝑓 + 𝑊𝐹𝑔 = EKf − EKi
𝑓𝑓 ∆xcos1800 + Fg∆xcos0o =EKf − EKi Any One /Enige een
1 1
𝑓𝑓 ∆xcos1800 +mg∆xcos0o = mv2f - mv2i
2 2
1 1
172 ×4×(-1)+(80)(9,8)(4)(1)= 2 (80)v2f - 2 (80)(0)2 )
v = 7,82 m∙s-1
OPTION 3/OPSIE 3
Wnet =∆EK
𝑊𝐹𝑔 + 𝑊𝑓 = EKf − EKi
−∆𝐸𝑝 + 𝑊𝑓 = EKf − EKi Any One /Enige een
1 0 1
-(mghf -mghi ) + 𝑓𝑓 ∆xcos180 = mv2f - mv2i
2 2
1 1
−[(80)(9,8)(0) − (80)(9,8)(4)] + 172 ×4×(-1)= 2 (80)v2f - 2 (80)(0)2 )
v = 7,82 m∙s-1 (4)
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5.3 No/Nee
The net work done by the non-conservative forces is not zero./Die netto arbeid
deur die nie-konservatiewe kragte is nie nul nie.
OR/OF
There is friction/non-conservative forces doing work./Daar is wrywing/nie-
konservatiewe kragte wat arbeid verrig.
OR/OF
It is not an isolated system.
Dit is nie ‘n geïsoleerde sisteem nie.
(2)
5.4 OPTION 1/OPSIE 1
𝐸𝑀𝑓 = 𝐸𝑀𝑖 + 𝑊𝑛𝑐
𝑚𝑣𝑓2 𝑚𝑣𝑖2
( + 𝑚𝑔ℎ𝑓 ) = ( + 𝑚𝑔ℎ𝑖 ) + 𝑊𝑛𝑐
2 2 Any one/Enige een
𝑚𝑣𝑓2 𝑚𝑣𝑖2
( + 𝑚𝑔(−𝑑)) = ( + 𝑚𝑔ℎ) + 𝑊𝑛𝑐
2 2
80 × 02 80 × 02
( + 80 × 9,8(−𝑑)) = [( + 80 × 9,8 × 4) + (−6240)]
2 2
d=3,96 m
OPTION 2/OPSIE 2
Wnc =∆EK +∆Ep
Wnc =(EKf -EKf )+(EPf -EPi )
mv2 mv2
Wnc = ( 2 f − 2 i ) − (mghf -mghi )
Any one/Enige een
mv2f mv2i
Wnc = ( - ) +(mg(-d)-mgh)
2 2
80 × 02 80 × 02
−6240 = ( − ) + [80 × 9,8 × (−𝑑) − ((80 × 9,8 × 4))]
2 2
d=3,96 m
OPTION 3/OPSIE 3
Wnet =∆EK
𝑊𝑐 + 𝑊𝑛𝑐 = 𝐸𝐾𝑓 − 𝐸𝐾𝑖
1 1
Any one/Enige een
−∆𝐸𝑃 + 𝑊𝑛𝑐 = 2 𝑚𝑣𝑓2 − 2 𝑚𝑣𝑖2
1 1
−(𝐸𝑃𝑓 − 𝐸𝑝𝑖 ) + 𝑊𝑛𝑐 = 𝑚𝑣𝑓2 − 𝑚𝑣𝑖2
2 2
1 1
−[(𝑚𝑔(−𝑑) − 𝑚𝑔ℎ)] + 𝑊𝑛𝑐 = 𝑚𝑣𝑓2 − 𝑚𝑣𝑖2
2 2
1 1
−[(80 × 9,8(−𝑑) − (80)(9,8)(4)] + (−6240) = 80(0)2 − 80(0)2
2 2
d=3,96 m
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OPTION 4/OPSIE 4
Wnc =∆EM
Wnc = EMf − EMi
Wnc =(EKf -EKf )+(EPf -EPi )
mv2 mv2
Any one/Enige een
Wnc = ( 2 f +mghf ) - ( 2 i +mghi )
mv2f mv2i
Wnc = ( +mg(-d) - ( +mgh)
2 2
80×02 80×02
−6240= [ +80×9,8 ×(-d)] - [ +(80×9,8×4)]
2 2
d=3,96 m
OPTION 5/OPSIE 5
Wnc =∆EK +∆Ep
Wnc =(EKf -EKf )+(EPf -EPi ) Any one/Enige een
mv2f mv2i
Wnc = ( 2 − 2 ) − (mghf -mghi )
80 × 02 80 × 02
−6240 = ( − ) + [80 × 9,8 × (0) − 80 × 9,8 × (4+d)]
2 2
d=3,96 m
(4)
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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 Longer/Langer
For the same (constant) speed of sound the frequency of sound is inversely
proportional to the wave length and as the fire truck moves away from the listener
the listener hears a lower frequency..
Vir dieselfde (konstante) spoed van klank is die frekwensie van klank
omgekeerd eweredig aan die golflengte en as die brandweerwa beweeg weg van
die luisteraar die luisteraar hoor 'n laer frekwensie.
OR/OF
Speed of sound is constant, frequency detected (by the observer) is lower
wevelenghts is inversely proportinal to frequncy.
Klankspoed is konstant, frekwensie waargeneem deur die waarnemer is laer, (3)
golflengtes is omgekeerd eweredig aan frekwensie
6.3 f = (v±vL ) f OR/OF f = ( v ) f
L v±v 𝑠 L v±v s
s s
Approaching
340
460= (340-v ) fs
s
Moving away
340
410 = (340+v ) fs
s
Solving
340 410
460 = ( ) ( 340 )
340-vs
340+vs
vs=19,54 m∙s-1
340 340
460 = (340-19,54) fs OR/OF 410 = (340+19,54) fs (6)
fs= 433,56 Hz
6.4 The star is movin away from the Erath because the spectrum shows a shift
towards the red end which is a lower frequnecy
Die ster beweeg van die aarde af omdat die spektrum 'n verskuiwing na die rooi
einde toon wat 'n laer frekwensie is. (3)
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6.5 ANY ONE
To measure rate of blood flow.
Detect heartbeat of foetus.
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)
ENIGE EEN
Om die bloedvloeitempo te meet.
Ontdek die hartklop van die fetus.
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)
[15]
QUESTION 7/VRAAG 7
7.1 Positive/Positief. (1)
q
7.2 Q = ne OR/OF n=
e
Q = 938(1,6 × 10−19 C) OR/OF Q = 938(1,6 × 10−19 )
Q =1,50×10−16 C
(3)
7.3 NOTE: -1 Mark for each key word /phrase omitted in the correct context.
LET WEL: - 1 punt vir elke sleutelwoord/frase weggelaat in die korrekte
konteks.
The electric field at a point is the electrostatic force experienced per unit
positive charge placed at that point.
Die elektriese veld by 'n punt is die elektrostatiese krag wat per
eenheidspositiewe-lading wat by daardie punt geplaas is, ondervind word. (2)
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7.4
Marking criteria/ Nasienkriteria
Shape (radial)/Vorm (radiaal)
Correct direction/Korrekte rigting
(3)
7.5 At A.
The distance from A to the charged sphere X is smaller than the distance from B
to the charged sphere X and the electric field at a point due to a point charge is
inversely proportional to the square distance between the point and the charge
1
(E∝ 2)
d
By A
Die afstand vanaf A na die gelaaide sfeer X is kleiner as die afstand van B na die
gelaaide sfeer X en die elektriese veld op 'n punt as gevolg van 'n puntlading
omgekeerd eweredig is aan die vierkante afstand tussen die punt en die lading
1
(E∝ 2). (3)
d
7.6.1 The magnitude of the electrostatic force exerted by one point charge on another
point charge is directly proportional to the product (of the magnitudes) of the
charges and inversely proportional to the square of the distance between
them.
Die grootte van die elektrostatiese krag wat een puntlading op 'n ander
puntlading 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)
7.6.2 OPTION 1/OPSIE 1
KQ Q KQ Q
F= r12 2 OR/OF F= rX2 Y
9×109 ×(1,5×10-16 ×(2,8×10-16 )
FYonX =
(0,03)2
FYonX =4,2 ×10-19 N .to the right/na regs
KQX QZ
F=
r2
9×109 ×(1,5×10-16 ×(3,2×10-16 )
FZonX =
(0,01)2
FZonX =43,2 ×10-19 N . to the right/na regs
Positive to the right/Positief na regs
𝐹𝑛𝑒𝑡 = 𝐹YonX + 𝐹ZonX OR/OF 𝐹𝑛𝑒𝑡 = FYonX + FZonX
𝐹𝑛𝑒𝑡 = 4,2 ×10-19 + 43,2 ×10-19
𝐹𝑛𝑒𝑡 = 47,4×10-19 N.to the right/na regs
OR/OF
𝐹𝑛𝑒𝑡 = 4,74×10-18 N to the right/na regs
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OPTION 2/OPSIE 2
KQ Q KQ Q
F= r12 2 OR/OF F= rX2 Y
9×109 ×(1,5×10-16 ×(2,8×10-16 )
FYonX =
(0,03)2
FYonX =4,2 ×10-19 N .to the right/na regs
KQX QZ
F=
r2
9×109 ×(1,5×10-16 ×(3,2×10-16 )
FZonX = 2
(0,01)
-19
FZonX =43,2 ×10 N . to the right/na regs
Positive to the left/Positief na links
𝐹𝑛𝑒𝑡 = 𝐹YonX + 𝐹ZonX OR/OF 𝐹𝑛𝑒𝑡 = −FYonX − FZonX
𝐹𝑛𝑒𝑡 = −4,20 ×10-23 − 43,2 ×10-23
𝐹𝑛𝑒𝑡 = 47,4×10-19 N.to the right/na regs
OR/OF
𝐹𝑛𝑒𝑡 = 4,74×10-18 N to the right/na regs
OPTION 3/OPSIE 3
Positive to the right/ Positief na regs
𝑄
E=𝐾 2
𝑟
(3,2×10−16 )
E𝑥 = 9 × 109 × (0,01)2
E𝐴 = 28,8 × 10−3 𝑁 ∙ 𝐶 −1 to the right/na regs
(2,8×10−16 )
E𝑌 = 9 × 109 ×
(0,03)2
⃗E𝐵 = 2,8 × 10−3 𝑁 ∙ 𝐶 to the right/na regs
−1
⃗Enet = ⃗EX + ⃗EY
Enet = EX + 𝐸B
Enet = 28,8 × 10−3 + 2,8 × 10−3
Enet = 31,6 × 10−3 𝑁 ∙ 𝐶 −1
⃗Enet = 31,60 × 10−3 𝑁 ∙ 𝐶 −1to the right/na regs
𝐹 = 𝑞𝐸
𝐹 = 1,5 × 10−16 × 31,60 × 10−3
𝐹 = 47,4×10-19 𝑁 to the right/na regs
OR/OF
𝐹 = 4,74×10-18 𝑁 to the right/na regs
OPTION 4/OPSIE 4
Positive to the left/ Positief na links
𝑄
E=𝐾 2
𝑟
(3,2×10−16 )
E𝑥 = 9 × 109 × (0,01)2
E𝐴 = 28,8 × 10−3 𝑁 ∙ 𝐶 −1 to the right/na regs
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(2,8×10-16 )
E𝑌 = 9 × 109 ×
(0,03)2
⃗E𝐵 = 2,8 × 10 𝑁 ∙ 𝐶 to the right/na regs
−3 −1
⃗Enet = ⃗EX + ⃗EY
Enet = −EX − 𝐸B
Enet = −28,8 × 10−3 − 2,8 × 10−3
Enet = −31,60 × 10−3 𝑁 ∙ 𝐶 −1
⃗Enet = 31,60 × 10−3 𝑁 ∙ 𝐶 −1to the right/na regs
𝐹 = 𝑞𝐸
𝐹 = 1,5 × 10−16 × 31,60 × 10−3
-19
𝐹 = 47,4×10 𝑁 to the right/na regs
OR/OF
𝐹 = 4,74 × 10-18 𝑁 to the right/na regs
Note/Aantekening: Do not penalise if vector notation is not used./Moenie (5)
penaliseer indien vektornotasie nie gebruik is nie.
[18]
QUESTION 8/VRAAG 8
8.1 Power is the rate at which work is done
OR/OF
Power is the rate at which energy is supplied to the device. (2)
(2 or/of 0)
8.2.1 OPTION 1/OPSIE 1
Rs =RA +RB
Rs =8+8
Rs = 16 Ω
𝑅𝑠 × 𝑅𝐶
RP =
𝑅𝑠 + 𝑅𝐶
16×8
RP = 16+8
RP = 5,333 Ω
V=IR
V=2×5,333
V=10,67 V
OPTION 2/OPSIE 2
Rs =RA +RB
Rs =8+8
Rs = 16 Ω
𝑅𝐴𝐵 × 𝑅𝐶
RP =
𝑅𝐴𝐵 + 𝑅𝐶
[(8+8)×8] (16×8)
RP = [(8+8)+8] OR/OF RP = (16+8)
RP = 5,333 Ω
V=IR
V=2×5,333
V=10,67 V
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OPTION 3/OPSIE 3
Rs =RA +RB
Rs =8+8
Rs = 16 Ω
1 1 1
= +
R 𝑃 R1 R 2
1 1 1
= +
R 𝑃 16 8
RP = 5,333 Ω
V=IR
V=2×5,333
V=10,67 V (5)
8.2.2 POSITIVE MARKING FROM 8.2.1/POSITIEWE NASIEN VANAF 8.2.1.
OPTION 1/OPSIE 1
ε = Vext +Vint Any one/Enige een
ε = IR+Ir
12 =10,67 +2r
r=0,67 Ω
PTION 2/OPSIE 2
Vint = ε − Vext Any one/Enige een
Ir = ε − Vext
2r = 12 − 10,67
r=0,67 Ω
PTION 3/OPSIE 3
ε
I= R+r
12
2I= 5,33+r
r=0,67 Ω
PTION 4/OPSIE 4
ε
I= R+r
12 12
2= [(8+8)×8] OR/OF 2= (16×8)
([(8+8)+8])+r ((16+8))+ r
r=0,67 Ω (3)
8.3 Bulbs A and B are connected in series across the battery, therefore they
glow equally brightly, whereas bulb C is connected itself across the
battery, then the voltage drop across C has the same magnitude as the
terminal potential difference, whereas the same terminal potential
difference splits between bulbs A and B, as a result , bulb C glows more
brightly than either of bulb A and B.
Gloeilampe A en B word in serie oor die battery gekoppel, daarom gloei
hulle ewe helder, terwyl gloeilamp C self oor die battery gekoppel is, dan is
die spanningsval oor C dieselfde grootte as die potensiaalverskil van die
terminale, terwyl dieselfde potensiaalverskil dieselfde is verdeel tussen
gloeilampe A en B, gevolglik gloei gloeilamp C helderder as een van
gloeilamp A en B. (4)
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8.4 INCREASES/ VERHOOG
External resistance increases/total resistance increases./
Eksterne weerstand neem toe/totale weerstand neem toe.
As emf is constant total current decreases./Aangesien emk konstant
is, neem die totale stroom af.
Potential difference in the internal resistance (Vinternal) decreases/
Potensiële verskil in die interne weerstand (Vinternal) neem af
According to the equation; Vext =ε-Vint , terminal potential difference
across the battery increases/Volgens die vergelyking; Vext =ε-Vint
word terminale potensiaalverskil oor die battery verhoog..
(4)
[18]
QUESTION 9/VRAAG 9
9.1 A is a Generator/A is ‘n Generator
It converts mechanical energy to electrical energy. Dit omskakel meganiese
energie na elektriese energie.
B is a DC motor/B is ‘n GS-motor.
It converts electrical energy to mechanical energy./ Dit omskakel
elektriese energie na meganiese energie. (4)
9.2 DC generator./GS-generator.
It has a split ring/commutator./ Dit het ’n spleetringe/Kommutator. (2)
9.3 Electromagnetic induction./Elektromagnetiese induksie. (1)
9.4 S (1)
9.5 OPTION 1/OPSIE 1
V
Vrms = max
√2
311,13
Vrms =
√2
Vrms =220,00 V
V2
rms
Pave = R
(220)2
Pave = 40
Pave =1210,00 W
OPTION 2/OPSIE 2
V
Imax= max
R
311,13
Imax= 40
Imax=7,77825 A
V I
Pave = max2 max
311,13×7,77825
Pave = 2
Pave = 1210,02 𝑊 (5)
[13]
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QUESTION 10/VRAAG 10
10.1 NOTE: -1 Mark for each key word /phrase omitted in the correct context.
LET WEL: - 1 punt vir elke sleutelwoord/frase weggelaat in die korrekte
konteks.
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)
10.2 OPTION 1/OPSIE 1
c
Wo = h λ
0
(3×108)
3,648 ×10-19 =(6,63x10-34 ) λ0
𝜆𝑂 = 5,45 × 10−7 m
OPTION 2/OPSIE 2
Wo=hfo
3,648 ×10-19 = (6,63x10-34 )𝑓𝑜
fo =5,50 ×1014 Hz
𝑐 = 𝜆𝑂 𝑓0
3 × 108 = 𝜆𝑂 (5,50 ×1014 )
𝜆𝑂 = 5,45 × 10−7 m
(3)
10.3 𝐸 = 𝑊𝑜 + 𝐸𝐾(𝑚𝑎𝑥)
1 Any one/Enige een
2
ℎ𝑓 = 𝑊𝑜 + 𝑚𝑣𝑚𝑎𝑥
2
1 (4)
(6,63𝑥10−34 )(6,2 ×1014 ) = 3,648 ×10-19 + (9,11 × 10−31 )𝑣𝑚𝑎𝑥
2
2
𝑣 = 3,18 × 105 m∙s-1
10.4 B
As the intensity of light increases the number of photons per second increase.
Soos die intensiteit van lig toeneem, neem die aantal fotone per sekonde toe.
Since each photon releases one electron, the number of ejected electrons per
second increases.
Aangesien elke foton een elektron vrystel , neem die aantal vrygestelde elektrone
per sekonde toe.
This causes the current /ammeter reading to increase.
Dit veroorsaak dat die stroom/ammeterlesing toeneem.
(3)
10.5 Equal to. (1)
[13]
TOTAL/TOTAAL: 150
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