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DEPARTMENT OF EDUCATION
—————————————————————
DEPARTEMENT VAN ONDERWYS
—————————————————————
LEFAPHA LA THUTO
—————————————————————
ISEBE LEZEMFUNDO
—————————————————————
PROVINSIALE VOORBEREIDENDE EKSAMEN/
PROVINCIAL PREPARATORY EXAMINATION
GRAAD/GRADE 12
FISIESE WETENSKAPPE/PHYSICAL SCIENCES
VRAESTEL/PAPER 1
FISIKA/PHYSICS
(FISIKA/PHYSICS)
SEPTEMBER 2024
PUNTE/MARKS: 150
TYD/TIME: 3 uur/hours
Hierdie vraestel bestaan uit 16 bladsye en 3 gegewensblaaie./
This question paper consists of 16 pages and 3 data sheets.
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Physical Sciences Grade 12 P1 Northern Cape Prelim 2024 Memo
Grade 12 Physical Sciences Paper 1 memorandum from the Northern Cape Prelim Exam 2024, 40 pages. Read online or download the free PDF.
Physical Sciences · Grade 12 · Northern Cape Prelim Exam · 2024. Memorandum, 40 pages. Read online or download the PDF.
- Subject
- Physical Sciences
- Grade
- Grade 12
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- Memorandum
- Year
- 2024
- Exam period
- Northern Cape Prelim Exam
- Paper
- 1
- Curriculum
- CAPS
- Pages
- 40
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- 536.2 KB
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INSTRUCTIONS AND INFORMATION
1. Write your name on the ANSWER BOOK.
2. This question paper consists of 10 questions. Answer ALL the questions in the
ANSWER BOOK.
3. Start EACH question on a NEW page in the ANSWER BOOK.
4. Number the answers correctly according to the numbering system used in this
question paper.
5. Leave ONE line between two subquestions, e.g. between QUESTION 2.1 and
QUESTION 2.2.
6. You may use a non-programmable calculator.
7. You may use appropriate mathematical instruments.
8. Show ALL formulae and substitutions in ALL calculations.
9. Round off your FINAL numerical answers to a minimum of TWO decimal places.
10. Give brief motivations, discussions, etc. where required.
11. You are advised to use the attached DATA SHEETS.
12. Write neatly and legibly.
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QUESTION 1: MULTIPLE-CHOICE QUESTIONS
Various options are provided as possible answers to the following questions. Each
question has only ONE correct answer. Choose the answer and write only the letter
(A–D) next to the question numbers (1.1 to 1.10) in the ANSWER BOOK, e.g. 1.11 E.
1.1 Which ONE of the following physical quantities is defined as the rate of
change of velocity?
A Impulse
B Net force
C Inertia
D Acceleration (2)
1.2 According to Newton's Third Law of Motion, the reaction force to the weight
of a book lying on a table is the …
A normal force.
B force of the book on Earth.
C force of Earth on the book.
D force of the book on the table. (2)
1.3 A 300 kg bag of cement and a 30 kg iron sphere are dropped simultaneously
from the roof of a building. Ignore the effects of air friction.
When they are 9 m above the ground, they will have the same …
A momentum.
B acceleration.
C kinetic energy.
D potential energy. (2)
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1.4 A ball of mass m strikes a wall perpendicularly at a speed v. After the
collision, the ball moves in the opposite direction at the same speed v, as
shown in the diagram below.
wall
v
m
v
m
Which ONE of the following represents the magnitude of the change in
momentum of the ball?
A 0
B mv
C 2mv
D 2mv2 (2)
1.5 The kinetic energy of a car moving at a constant velocity of 2v is K. The
velocity of the car then changes to a constant velocity of 4v.
Which ONE of the following represents the kinetic energy of the car at a
constant velocity of 4v?
A ⅛K
B ¼K
C 4K
D 8K (2)
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1.6 The siren of a police car travelling at 20 m·s-1 emits sound waves of
frequency f Hz.
The frequency observed by a pedestrian standing on the road when the
police car moves towards him, will be …
A 0 Hz.
B smaller than f Hz.
C equal to f Hz.
D greater than f Hz. (2)
1.7 The diagram below represents a positive point charge.
Points R, S and T are at different distances from the charge.
R
●
T
● +
●
S
The magnitude of the electric field at a point is the …
A greatest at point R.
B greatest at point S.
C greatest at point T.
D same at point R, S and T. (2)
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1.8 In the circuit represented below, the resistance of a variable resistor is
INCREASED.
rr
V
A
How would this increase affect the readings on the voltmeter and ammeter?
VOLTMETER READING AMMETER READING
A Increases Decreases
B Decreases Increases
C Increases Increases
D Decreases Decreases
(2)
1.9 Which ONE of the energy conversions below takes place when an AC
motor is in operation?
A Electrical energy to mechanical energy
B Mechanical energy to electrical energy
C Kinetic energy to mechanical energy
D Heat energy to mechanical energy (2)
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1.10 When a clean metal plate is irradiated with red light of sufficient energy,
photoelectrons are emitted.
The red light is now replaced with blue light of the same intensity.
This change will …
A increase the number of photoelectrons emitted per second.
B decrease the number of photoelectrons emitted per second.
C increase the kinetic energy of the emitted photoelectrons.
D decrease the kinetic energy of the emitted photoelectrons. (2)
[20]
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QUESTION 2 (Start on a new page.)
Two blocks of masses 9 kg and 4 kg are connected by a light, inextensible string. A
constant force, F, acting at 75° to the horizontal, is applied to the 9 kg block as shown
in the diagram below. The string runs over a frictionless pulley.
F
4 m·s-1
75o
9 kg
4 kg
The 9 kg block moves at a CONSTANT velocity of 4 m·s-1 while experiencing a
frictional force of 2,5 N.
2.1 State Newton's First Law of Motion in words. (2)
2.2 Draw a labelled free-body diagram for the 9 kg block. (5)
2.3 Calculate the magnitude of the force F acting on the 9 kg block. (5)
[12]
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QUESTION 3 (Start on a new page.)
Object A is projected vertically upwards from the ground. It takes 0,8 s to pass a
window which is 1,5 m high and 8 m above the ground. It strikes a balcony at a velocity
of 1,4 m·s-1 and falls back to the ground.
At the same time, object B is projected vertically downwards at a velocity of 8 m·s-1.
Ignore the effects of air friction.
balcony
B
1,5 m
8m
A
ground
3.1 Define the term projectile. (2)
3.2 Calculate the:
3.2.1 Velocity of object A at the bottom edge of the window when moving
upwards (4)
3.2.2 Velocity with which object A is projected from the ground (3)
3.2.3 Height above the ground at which object A and B will pass each
other (6)
3.3 Draw a position-time graph (not to scale) for the entire motion of objects A
and B on the same set of axes from the moment they are projected.
Label the graphs and clearly indicate the following:
Height where the objects pass each other
Time the objects pass each other as t (4)
[19]
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QUESTION 4 (Start on a new page.)
A toy trolley of mass 95 g is moving east at a speed of 2,45 m·s-1. It collides with a
stationary wooden block of mass 120 g, which is suspended with a rope, as shown
in the diagram below.
The impact causes the block to move to a maximum height of 0,15 m from its original
position, while the trolley continues moving eastwards.
Ignore the effects of friction and air friction.
2,45 m·s-1 0,15 m
95 g 120 g
4.1 State the principle of conservation of linear momentum in words. (2)
4.2 Draw a force diagram for the block at a height of 0,15 m above the ground. (2)
4.3 Calculate the speed of the trolley immediately after the collision. (5)
4.4 The contact time between the trolley and the block is 0,08 s.
Calculate the magnitude of the force applied on the trolley by the block. (3)
[12]
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QUESTION 5 (Start on a new page.)
A skier of mass 100 kg starts from rest at point B, which is 30 m below point A, and
moves down a frictionless curve to point C.
The skier passes point C and moves up a rough plane inclined at 30° to the
horizontal. Ignore the effects of air friction.
A
●
30 m
50 m
B
30o
●
C
5.1 Write down the energy conversion of the skier from point B to C. (1)
5.2 Define the term isolated system. (2)
5.3 Use ENERGY PRINCIPLES to calculate the speed of the skier at point C. (4)
5.4 The skier experiences a frictional force of 200 N on the inclined plane.
5.4.1 Calculate the maximum height reached by the skier from point C. (6)
5.4.2 If the angle is reduced to 20°, will the maximum height be
GREATER THAN, SMALLER THAN or EQUAL TO the maximum
height calculated in QUESTION 5.4.1?
Give a reason for the answer. (2)
[15]
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QUESTION 6 (Start on a new page.)
A man is sitting in a train which is travelling at a constant velocity. The siren of the
train emits sound waves of frequency 2 000 Hz.
A detector placed on the railway line records a frequency of 2 450 Hz. The train takes
0,5 s to reach the detector. Assume the speed of sound in air is 342 m·s-1.
6.1 Define the phenomenon described above. (2)
6.2 Name any medical instrument that makes use of the phenomenon in
QUESTION 6.1. (1)
6.3 Calculate the distance between the train and the detector. (5)
6.4 Draw a frequency versus time graph (not to scale) of the frequency heard by
the man sitting in the train as it moves towards and away from the detector.
Indicate the values of frequency and time on the graph. (2)
6.5 What is the significance of red shift? (1)
[11]
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QUESTION 7 (Start on a new page.)
Three charged spheres, A, B and C, with charges of -6 nC, +9 nC and +12 nC
respectively, are placed on rubber stands as shown below.
A B C
-6 nC +9 nC +12 nC
10 cm 15 cm
7.1 Can metal stands be used instead of rubber stands?
Write down only YES or NO.
Give a reason for the answer. (2)
7.2 State Coulomb's law in words. (2)
7.3 Calculate the net force acting on charge C. (5)
7.4 Charge A and B are brought into contact and then separated.
Charge A is returned to its original position, while charge B is removed.
7.4.1 In which direction did electrons flow?
Choose from A to B or B to A. (2)
7.4.2 Calculate the number of electrons transferred to or from charge A. (4)
7.4.3 Point X is placed between charge A and C.
Calculate the distance between charge A and point X where the net
electric field is equal to zero. (4)
[19]
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QUESTION 8 (Start on a new page.)
A battery of emf 12 V and an internal resistance of 0,8 Ω is connected to three
resistors of resistance R Ω, 6 Ω and 4 Ω. A high resistance voltmeter and an ammeter
of negligible resistance are also connected in the circuit, as shown below.
The reading on the ammeter is 0,5 A.
V
R
r
0,5 A A
6Ω 4Ω
8.1 Define the term internal resistance. (2)
8.2 Calculate the:
8.2.1 Reading on the voltmeter (3)
8.2.2 Resistance of resistor R (6)
8.2.3 Energy dissipated by resistor R in 3 minutes (4)
8.3 How would the reading on the voltmeter change if resistor R is removed?
Write down INCREASES, DECREASES or REMAINS THE SAME.
Explain the answer. (3)
[17]
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QUESTION 9 (Start on a new page.)
A simplified diagram of an electric machine is shown below.
9.1 Is this electric machine a generator or an electric motor?
Give a reason for the answer. (2)
9.2 Write down the names of the components labelled A, B, C and D. (1)
9.3 Give a reason why carbon is preferred over iron for the brushes in electric
machines. (1)
9.4 In which direction is the current flowing?
Choose from A to B or B to A. (2)
9.5 The graph below of voltage vs time was obtained from an alternating current
generator.
9.5.1 Calculate the frequency of this voltage. (2)
9.5.2 Calculate the average power generated if the generator produces
a maximum current of 2 A. (5)
[13]
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QUESTION 10 (Start on a new page.)
10.1 The table below shows different metals with their respective threshold
frequencies.
Metal Threshold frequency (Hz)
A 2,06 × 1014
B 1,18 × 1014
C 0,06 × 1014
D 8,52 × 1014
Light of frequency 3,15 × 1014 Hz is radiated on each metal.
10.1.1 Define the term threshold frequency. (2)
10.1.2 In which metal(s), A, B, C or D, will the photoelectric effect not take
place?
Give a reason for the answer. (2)
10.1.3 Calculate the highest maximum speed of the ejected electrons. (5)
10.1.4 If the intensity of light radiated is decreased, what will happen to the
speed of the electrons calculated in QUESTION 10.1.3?
Choose from INCREASES, DECREASES or REMAINS THE
SAME. (1)
10.2 Explain the formation of the atomic emission spectrum. (2)
[12]
TOTAL: 150
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DATA FOR PHYSICAL SCIENCES GRADE 12
PAPER 1 (PHYSICS)
GEGEWENS VIR FISIESE WETENSKAPPE GRAAD 12
VRAESTEL 1 (FISIKA)
TABLE 1: PHYSICAL CONSTANTS/TABEL 1: FISIESE KONSTANTES
NAME/NAAM SYMBOL/SIMBOOL VALUE/WAARDE
Acceleration due to gravity
g 9,8 m·s-2
Swaartekragversnelling
Universal gravitational constant
G 6,67 x 10-11 N·m2·kg-2
Universele gravitasiekonstante
Radius of the Earth
RE 6,38 x 106 m
Radius van die Aarde
Mass of the Earth
M 5,98 x 1024 kg
Massa van die Aarde
Speed of light in a vacuum
c 3,0 x 108 m·s-1
Spoed van lig in 'n vakuum
Planck's constant
h 6,63 x 10-34 J·s
Planck se konstante
Coulomb's constant
k 9,0 x 109 N·m2·C-2
Coulomb se konstante
Charge on electron
e- -1,6 x 10-19 C
Lading op elektron
Electron mass
me 9,11 x 10-31 kg
Elektronmassa
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TABLE 2: FORMULAE/TABEL 2: FORMULES
MOTION/BEWEGING
v f vi a t x v i t 21 at 2 or y v i t 21 at 2
v vi v vi
v f 2 vi2 2ax or v f v i 2ay
2 2
x f t or y f t
2 2
FORCE/KRAG
Fnet ma p mv
fs max = μsN fk = μkN
Fnet t p
w mg
p mv f mv i
m1m 2 m1m 2 M M
FG or/of F=G g =G or/of g =G 2
d2 r2 d2 r
WORK, ENERGY AND POWER/ARBEID, ENERGIE EN DRYWING
W Fx cos U mgh or/of EP mgh
Wnet K or/of Wnet Ek
1 1
K mv 2 or/of Ek mv 2
2 2
K K f K i or/of Ek Ekf Eki
W
Wnc K U or Wnc Ek Ep P
t
Pave = Fvave / Pgemid = Fvgemid
WAVES, SOUND AND LIGHT/GOLWE, KLANK EN LIG
1
vf T
f
v vL v vL c
fL fs fL fb E hf or E h
v vs v vb
E = Wo + Ek(max) or/of E = W o + K max where/waar
1 1
E hf and/en W0 hf 0 and/en E k (max) = mv max
2 2
or/of K max = mv max
2 2
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ELECTROSTATICS/ELEKTROSTATIKA
kQ 1Q 2 kQ
F E
r2 r2
W F
V E
q q
Q or/of Q
n= n
e qe
ELECTRIC CIRCUITS/ELEKTRIESE STROOMBANE
R
V emf ( ε )= I(R + r)
I
R s R1 R 2 ...
1 1 1 q I t
...
R p R1 R 2
W = Vq W
P
Δt
W = VI t
P = VI
W = I2R t
P = I 2R
V 2 Δt
W= V2
R P
R
ALTERNATING CURRENT/WISSELSTROOM
Pav e Vrms I rms / Pgemid Vwgk I wgk
I max I maks
I rms / I wgk
2 2
Pav e Irms
2
R / Pgemid I 2wgk R
Vmax Vmaks
Vrms / Vwgk 2
Vrms
2
Vwgk
2 2 Pav e / Pgemid
R R
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—————————————————————
DEPARTMENT OF EDUCATION
—————————————————————
DEPARTEMENT VAN ONDERWYS
—————————————————————
LEFAPHA LA THUTO
—————————————————————
ISEBE LEZEMFUNDO
—————————————————————
PROVINCIAL PREPARATORY EXAMINATION/
PROVINSIALE VOORBEREIDENDE EKSAMEN
GRADE/GRAAD 12
PHYSICAL SCIENCES: PHYSICS
FISIESE WETENSKAPPE: FISIKA
PAPER/VRAESTEL 1
SEPTEMBER 2024
MARKING GUIDELINES/NASIENRIGLYNE
MARKS/PUNTE: 150
These marking guidelines consist of 17 pages./
Hierdie nasienriglyne bestaan uit 17 bladsye.
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Fisiese Wetenskappe/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 1/VRAAG 1
1.1 D (2)
1.2 B (2)
1.3 B (2)
1.4 C (2)
1.5 C (2)
1.6 D (2)
1.7 B (2)
1.8 A (2)
1.9 A (2)
1.10 C (2)
[20]
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Fisiese Wetenskappe/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 2/VRAAG 2
2.1 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted, deduct one mark./Indien enige van die onderstreepte sleutel
woorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
An object will remain in its state of rest or motion at constant velocity
unless a (non-zero) resultant force/net force acts on it.
'n Voorwerp sal in sy toestand van rus of beweging teen konstante
snelheid bly, tensy 'n (nie-nul) resulterende krag/netto krag daarop
inwerk. (2)
2.2 N FA N
f OR
T f T
FA
w
w
Force diagram 0/2./Kragte diagram 0/2.
Accepted labels/Aanvaarde benoemings
w Fw /Fg/mg/88,2 N/Weight/gravitational force
Fw /Fg/mg/88,2 N/Gewig/gravitasiekrag
T FT /Tension/Spanning
Fapplied F /Applied force/FA
F /Toegepaste krag/FA
f Ff / fk /frictional force/kinetic frictional force
Ff / fk /wrywingskrag/kinetiese wrywingskrag
N FN/Normal/Normaal
Notes/Aantekeninge
• Mark is awarded for label and arrow./Punt word toegeken vir byskrif en
pyltjie.
• Do not penalise for length of arrows/Moenie vir die lengte van die
pyltjies penaliseer nie.
• If arrows do not touch the dot/Indien pyle nie die kolletjie raak nie:
Max/Maks 4
5
• Any other additional force(s)/Enige ander addisionele krag(te) :
Max/Maks: 4
5
• If everything correct, but no arrows/Indien alles korrek, maar geen
pyltjies Max/Maks: 4
5 (5)
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Fisiese Wetenskappe/Graad 12 Marking Guidelines/Nasienriglyne
2.3 EAST AS POSITIVE EAST AS NEGATIVE
OOS AS POSITIEF OOS AS NEGATIEF
4 kg mass/4 kg massa 4 kg mass/4 kg massa
Fnet = ma Fnet = ma
T – w = ma (Any one) T – w = ma (Any one)
T – mg = ma T – mg = ma
T – (4)(9,8) = (4)(0) T – (4)(9,8) = (4)(0)
T = 39,2 N T = 39,2 N
9 kg mass/9 kg massa 9 kg mass/9 kg massa
Fnet = ma Fnet = ma
Fx + T + f = ma Fx + T + f = ma
-Fcos75o + 39,2 + 2,5 = (9)(0) Fcos75o - 39,2 - 2,5 = (9)(0)
F = 161,12 N F = 161,12 N
OR/OF OR/OF
-Fsin15o + 39,2 + 2,5 = (9)(0) Fsin15o - 39,2 - 2,5 = (9)(0)
F = 161,12 N F = 161,12 N (5)
[12]
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Fisiese Wetenskappe/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 3/VRAAG 3
3.1 Marking criteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark./Indien enige van die onderstreepte sleutel-
woorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
A projectile is an object which has been given an initial velocity and then
it moves under the influence of gravitational force/gravity/weight only.
'n Projektiel is 'n voorwerp wat 'n beginsnelheid snelheid gegee is en
dan beweeg dit slegs onder die invloed van gravitasiekrag/swaartekrag/
gewig. (2)
3.2.1 UPWARDS AS POSITIVE DOWNWARDS AS POSITIVE
OPWAARTS POSITIEF AFWAARTS POSITIEF
∆y = vi∆t + ½ a∆t2✓ ∆y = vi∆t + ½ a∆t2✓
1,5 ✓= vi (0,8) + ½ (-9,8)(0,8)2✓ -1,5 ✓= -vi(0,8) + ½ (9,8)(0,8)2✓
vi = 5,80m.s-1upwards /opwaarts✓ vi = 5,80m.s-1upwards /opwaarts✓ (4)
3.2.2 POSITIVE MARKING FROM QUESTION 3.2.1
POSITIEWE NASIEN VANAF VRAAG 3.2.1
OPTION 1/OPSIE 1
UPWARDS AS POSITIVE DOWNWARDS AS POSITIVE
OPWAARTS POSITIEF AFWAARTS POSITIEF
vf2 = vi2 + 2aΔy✓ vf2 = vi2 + 2aΔy ✓
(5,80)2 = ( vi)2+ 2 (-9,8)(8)✓ -(5,80)2 = -(vi)2 + 2 (9,8)8✓
vi = 13,80m.s upwards/opwaarts✓ vi = 13,80m.s-1upwards/opwaarts✓
-1
OPTION 2/OPSIE 2
½ m v2i + mghi = ½ m v2f + mghf ✓
½ mvi 2 + 0 = ½ m(5,80)2 + m(9,8)(8)✓
vi =13,80 m.s-1upwards/opwaarts (3)
3.2.3 POSITIVE MARKING FROM QUESTION 3.2.2
POSITIEWE NASIEN VANAF VRAAG 3.2.2
vf2 = vi2 + 2aΔy
1,42 = 13,82 + 2 (-9,8)y✓
y = 9,62 m
OR/OF
½ m v2i + mghi = ½ m v2f + mghf
½ m(13,8 )2 + 0 = ½ m(1,4)2 + m(9,8)(y) ✓
y = 9,62 m
∆y = vi∆t + ½ a∆t2✓
∆y = 13,8∆t + ½ (-9,8) ∆t2…………….(1)
9,62 - ∆y = 8∆t + 4,9∆t2…………….(2)
∆t = 0,44 s
∆y = (13,8)(0,44) – (4,9)(0.44)2✓
∆y = 5,12 m ✓ (6)
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3.3 POSITIVE MARKING FROM QUESTION 3.2.3
POSITIEWE NASIEN VANAF VRAAG 3.2.3
Position/Posisie
(m)
Marking guidelines
Nasienriglyne
B • Shape of A/Vorm van A
A
• Shape of B/Vorm van B
5,21 • Position of t and 5,21/
Posisie van t en 5,21
t
time(s)/tyd(s) (4)
[19]
QUESTION 4/VRAAG 4
4.1 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark/Indien enige van die onderstreepte
sleutelwoorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
In an isolated/closed system the total (linear) momentum is
conserved/remains constant.
In 'n geïsoleerde/geslote sisteem bly die totale (lineêre) momentum
behoue/konstant. (2)
4.2
T
W
If there is free-body diagram 0/2./As ñ vrye liggaam diagram get
eken word 0/2
Accepted labels/Aanvaarde benoemings
w Fw /Fg /mg /gravitational force
Fw /Fg /mg/gravitasiekrag
T FT/Tension
FT/spanning
Notes/Aantekeninge
• Mark awarded for label and arrow./Punt word toegeken vir byskrif en
pyltjie.
• Do not penalise for length of arrows./Moenie vir die lengte van die
pyltjies penaliseer nie. (2)
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• Any other additional force(s)/Enige ander addisionele krag(te):
Max/Maks ½
• If everything is correct, but no arrows /Indien alles korrek, maar geen
pyltjies Max/Maks ½
• If force(s) do not make contact with the dot:/Indien krag(te) nie die
kolletjie raak nie Max/Maks ½
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4.3 vf2 = vi2 + 2ay
02 = vi2 + 2(-9,8)(0,15)
vi = 1,71 m·s-1
OR/OF
(Ek + Ep)i = (Ek + Ep)f
½ m v2i + mghi = ½ m v2f + mghf
(½)(0,12)(vi 2) +0 = 0 + (0,12)(9,8)(0,15)✓
vi = 1,71 m.s-1
OR/OF
Wnet = ½ m v2f - ½ m v2i
(0,12)(9,8)(0,15)(cos180) = 0 – (½ )(0,12)( vi 2) ✓
vi = 1,71 m.s-1
OR/OF
Wnc = mghf - mghi + ½ m v2f - ½ m v2i
0 = (0,12)(9,8)(0,15) – 0 + 0 - (½ )(0,12)(vi 2) ✓
vi = 1,71 m.s-1
OPTION 1/OPSIE 1
EAST/RIGHT AS POSITIVE/OOS/REGS AS POSITIEF
Σpi = Σpf ✓Any one/Enige een
m1vi+ m2vi = m1vf + m2vf
(0,095)(2,45) + (0,12)(0) ✓ = (0,095)(vf) +(0,12)(1,71)✓
vf = 0,29 m∙s-1✓
WEST/LEFT AS POSITIVE/WES/LINKS AS POSITIEF
Σpi = Σpf
✓Any one /Enige een
m1vi+ m2vi = (m1+ m2)vf
(0,095)(-2,45) + (0,12)(0) ✓ = (0,095)(vf) + (0,12)(-1,71) ✓
vf = - 0,29 m∙s-1
vf = 0,29 m∙s-1✓
Range (0,28 m∙s-1 - 0,29 m∙s-1)
OPTION 2/OPSIE 2
EAST/RIGHT AS POSITIVE/OOS/REGS AS POSITIEF
∆px = -∆py
✓Any one/Enige een
m(vxf – vxi) = - m(vyf – vyi)
0,095(vf – 2,45) ✓ = -0,12(1,71– 0) ✓
vf = 0,29 m∙s-1✓
WEST/LEFT AS POSITIVE/WES/LINKS AS POSITIEF
∆px = -∆py
m(vxf – vxi) = - m(vyf – vyi) ✓Any one/Enige een
0,095(vf + 2,45) ✓= -0,12(-1,71 – 0) ✓
vf = -0,29 m∙s-1
vf = 0,29 m∙s-1✓ (5)
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4.4 POSITIVE MARKING FROM QUESTION 4.3
POSITIEWE NASIEN VANAF VRAAG 4.3
OPTION 1/OPSIE 1
EAST AS POSITIVE/OOS AS POSITIEF
Fnet ∆t = ∆p ✓Any one/Enige een
Fnet ∆t = m(vf – vi) /
Fnet (0,08) = 0,095(0,29 – 2,45) ✓ OR/OF Fnet (0,08) = 0,012(1,71 – 0)
Fnet = -2,565 N Fnet = 2,57N
Fnet = 2,57 N✓
WEST AS POSITIVE/WES AS POSITIEF
Fnet ∆t = ∆p
✓Any one/Enige een
Fnet ∆t = m(vf – vi)
Fnet (0,08) = 0,095(-0,29 + 2,45)✓OR/OF Fnet (0,08) = 0,12(-1,71 – 0)
Fnet = 2,57 N✓ Fnet = 2,57
Fnet = 2,57 N✓
OPTION 2/OPSIE 2
EAST AS POSITIVE WEST AS POSITIVE
OOS AS POSITIEF WES AS POSITIEF
vf = vi + a∆t vf = vi + a∆t
0,29 = 2,45 + a(0,08) ✓ -0,29 = -2,45 + a(0,08) ✓
a = -27 m∙s -2 a = 27 m∙s-2
Fnet = ma✓ Fnet = ma✓
= 0,095 (-27) = 0,095 (27)
= - 2,565 N = 2,57 N✓
= 2,57 N (3)
[12]
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QUESTION 5/VRAAG 5
5.1 Potential energy to kinetic energy/Potensiële energie na kinetiese
energie✓ (1)
5.2 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark/Indien enige van die onderstreepte
sleutelwoorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
A system in which the net external forces acting on the system is zero.✓✓
'n Sisteem waarin die netto eksterne kragte wat op die sisteem inwerk nul
is (2)
5.3 OPTION 1/OPSIE 1
½ m v2i + mghi = ½ m v2f + mghf✓
(100)(9,8)(20) +0 ✓ = 0 + (½ )(100)( vf2 ) ✓
vf = 19,80 m.s-1✓
OPTION 2/OPSIE 2
Wnet = ½ m v2f - ½ m v2i✓
(100)(20)(9,8)(cos0)✓ = (½ )(100)( vf 2) ✓ - 0
vf = 19,80 m.s-1✓
OPTION 3/OPSIE 3
Wnc = mghf - mghi + ½ m v2f - ½ m v2i✓
0✓ = 0 – (100)(9,8)(20) + ½ (100) v2f - 0✓
vf = 19,80 m.s-1✓ (4)
5.4.1 POSITIVE MARKING FROM QUESTION 5.3
POSITIEWE NASIEN VANAF VRAAG 5.3
OPTION 1/OPSIE 1
Wnet = ΔEk ✓
Wnet = (½ )(100)(0)2 - (½ )(100)(19,80)2✓
Wnet = -19 602 J
Wnet = WG + Wf
-19 602✓ = (100)(9,8)(sin30o)(x)(cos180o) + (200)(x)(cos180o)✓
x = 28,41 m
h = (28,41)(sin30o)✓
h = 14,21 m✓
OPTION 2/OPSIE 2
Wnc = ΔEp + ΔEk ✓Any one/Enige een
Wnc = mghf - mghi + ½ m v2f - ½ m v2i /
h
(200) ✓cos180o✓ = (100)(9,8)(h) – 0✓ + 0 – ½(100)(19,80)2✓
sin 30
o
h = 14,20 m✓
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OPTION 3/OPSIE 3
Fnet = ma ✓
-(100)(9,8)(sin30o)✓ – 200 = 100a✓
a = -6,9 m.s-2
v f 2 = v i2 + 2aΔy
02= 19,802 + 2 (-6,9)(x) ✓
x = 28,41 m
h = (28,41)(sin30o)✓
h = 14,21 m✓ (6)
5.4.2 Smaller than/kleiner as ✓
The net force acting on the object will decrease./Die netto krag wat op die
voorwerp inwerk sal verminder ✓ (2)
[15]
QUESTION 6/VRAAG 6
6.1 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark./Indien enige van die onderstreepte
sleutelwoorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
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/OF
An (apparent) change in observed/detected frequency (pitch), as a result
of the relative motion between a source and an observer (listener).
'n Skynbare verandering in waargenome frekwensie (toonhoogte), as
gevolg van die relatiewe beweging tussen die bron en 'n waarnemer
(luisteraar). (2)
6.2 Doppler ultrasound machine or Doppler flow meter/Doppler-
ultraklankmasjien of Doppler-vloeimeter (Any one/Enige een). ✓ (1)
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6.3 v vL v
fL = fs OR/OF fL = fs ✓
v vs v − vs
342
2 450 = (2 000 )
342 − v s
vs = 62,82 m·s-1
x v + vf
Δv = ∆x = i t
t 2
x
62,82 = 62,82 + 62,82
0,5 Δx = (0,5)
2
Δx = 31,41 m
Δx = 31,41 m (5)
6.4 Marking guidelines/Nasienriglyne
• Shape of graph/Vorm van grafiek
• 2000 Hz and/en 0,5 s
f(Hz)
2000
0,5 t(s)
(2)
6.5 Shows that the Universe is expanding/Toon dat die heelal besig is om uit
te brei ✓ (1)
[11]
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Fisiese Wetenskappe/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 7/VRAAG 7
7.1 NO/NEE✓
The spheres will lose their charge./The metal stands are electrical
conductors./Die sfere sal hul lading verloor./Die metaalstaanders is
elektriese geleiers. (2)
7.2 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark Indien enige van die onderstreepte
sleutelwoorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
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 uitgeoefen, is direk eweredig
aan die produk van die (groottes van die) ladings en omgekeerd eweredig
aan die kwadraat van die afstand tussen hulle (2)
If mass is used 0/2./Indien massa gebruik word in plaas van lading
0/2
7.3 OPTION 1/OPSIE 1
kQ 1Q 2
F= ✓
r2
(9 10 9 )(12 10 −9 )(6 10 −9 )
FCA = 2
= 1,04 x 10-5 N
(0,25)
(9 10 9 )(12 10 −9 )(9 10 −9 )
FCB = 2
= 4,32 x 10-5 N
(0,15)
Fnet =4,32×10 N - (1,04×10-5 N )
-5
= 3,28×10-5 N due East/ Right/reg/ Oos ✓
OPTION 2/OPSIE 2
kQ
E= 2
r
(9 10 9 )(6 10 −9 )
ECA = = 864 N·C-1
(0,25) 2
(9 10 9 )(9 10 −9 )
ECB = = 3 600 N·C-1
(0,15) 2
Enet =3 600 - 864 = 2 736 N.C-1due East
F = EQ ✓
= (2 736 × 12 × 10-9)✓
= 3,28×10-5 N due East/Right/reg/Oos✓
(5)
7.4.1 A to B /A na B (2)
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7.4.2 Q1 + Q 2
Q=
2
( −6 10 −9 ) + (9 10 −9 )
=
2
Q = 1,5 × 10-9 C
Charge transferred/Lading oorgedra = 1,5 × 10-9 C – (-6 × 10-9 C )
= 7,5×10-9 C
OR/OF
= (1,5 × 10-9 C – (9 × 10-9 C )
= -7,5×10-9 C
Q
n=
qe
7,5 10 −9
n=
1,6 10 −19
n = 4,69 × 1010 (electrons/elektrone) (4)
7.4.3 OPTION 1/OPSIE 1
kQ
E= 2
r
(9 10 9 )(1,5 10 −9 ) (9 10 9 )(12 10 −9 )
=
(b) 2 (0,25 − b) 2
b = 0,07 m
OPTION 2/OPSIE 2
kQ 1Q 2
F= ✓
r2
(9 10 9 )(1,5 10 −9 )Q (9 10 9 )(12 10 −9 )Q
=
(b) 2 (0,25 − b) 2
b = 0,07 m (4)
[19]
QUESTION 8/VRAAG 8
8.1 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark./Indien enige van die onderstreepte
sleutelwoorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
The resistance within a battery that causes a drop in the potential
difference of the battery when there is a current in the circuit. Die
weerstand binne 'n battery wat 'n daling in die potensiaalverskil van die
battery veroorsaak wanneer daar 'n stroom in die stroombaan is.
Accept/Aan vaar
Opposition to the flow of current/charges inside the battery due to its
chemicals./Werk teen die vloei van lading/stroom bihne die battery as
gevolg van chemikaliee (2)
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8.2.1 V = IR
= (0,5)(6 + 4)
=5V (3)
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8.2.2 POSITIVE MARKING FROM QUESTION 8.2.1
POSITIEWE NASIEN VANAF VRAAG 8.2.1.
OPTION 1/OPSIE 1
= I(R + r) ✓
12✓ = 5 + 0,8I✓
I = 8,75 A
V = IR✓
5 = 8,25R✓
R = 0,61 Ω✓
OPTION 2/OPSIE 2
V = IR
10R
5 = I ………………….(1)
10 + R
10R
12 = I + 0,8 …..……..(2)
10 + R
R = 0.61 Ω (6)
8.2.3 POSITIVE MARKING FROM QUESTION 8.2.1 AND 8.2.2
POSITIEWE NASIEN VANAF VRAAG 8.2.1 EN 8.2.2
OPTION 1/OPSIE 1 OPTION 2/OPSIE 2 OPTION 3/OPSIE 3
W = I Rt
2 W = VIt V 2 t
= (5)(8,25)(180) W =
= (8,25)2(0,61)(180) R
= 7 473,26 J = 7 425 J
(5) 2 (180 )
=
0,61
= 7 377,05 J (3)
8.3 Increases/Toeneem
Total external resistance will increase and total current will decrease,
emf remains constant and internal voltage decreases.
Totale eksterne weerstand sal toeneem en totale stroom sal afneem, emk
bly konstant en interne spanning neem af. (3)
[17]
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QUESTION 9/VRAAG 9
9.1 Generator/Generator✓ ,
It converts mechanical energy to electrical energy./Dit skakel meganiese
energie om na elektriese energie.
Accept/Aan vaar
There is no energy source./Daar is geen energie bron. (2)
9.2 Coil/Spoel/Conductor/Geleier/Armature/roterende spoel✓ (1)
9.3 Good conductor of electricity/Goeie geleier van elektrisiteit/Does not
rust/Roes nie ✓(Any one/Enige een) (1)
9.4 A to/na B✓✓ (2)
9.5.1 1
f=
T
1
=
0,02
= 50 Hz (2)
9.5.2 OPTION 1/OPSIE 1 OPTION 2/OPSIE 2
Vmax Vmax
Vrms = Vrms =
2 2
250 250
= =
2 2
= 176,78… V = 176,78… V
Imax Imax
Irms = Irms =
2 2
I I
I rms = max I rms = max
2 2
2 2
= =
2 2
= 1,41A = 1,41A
V
R = rms
Pave = VrmsIrms Irms
= (176,78)(1,41) 176,78
= 249,26 W =
1,41
= 125,38 Ω
2
Vrms
Pave =
R
(176,78) 2
=
125,38
= 249,25 W
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OPTION 3/OPSIE 3
V
Vrms = max
2
250
=
2
= 176,78… V
I
Irms = max
2
I
I rms = max
2
2
=
2
= 1,41A
V
R = rms
Irms
176,78
=
1,41
= 125,38 Ω
2
Pave = I rms R
= (1,41)2(125,38)
= 249,27 W (5)
[13]
Note/Let wel: Range (249,25 – 250 W)
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Fisiese Wetenskappe/Graad 12 Marking Guidelines/Nasienriglyne
QUESTION 10/VRAAG 10
10.1.1 Marking criteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark /Indien enige van die onderstreepte
sleutelwoorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
The minimum frequency needed to emit an electron from (the surface
of) a metal.
Die minimum frekwensie wat nodig is om 'n elektron vanaf (die oppervlak
van) 'n metaal uit te straal.
NOTE: If reference to work function 0/2
LET WEL: Indien verwysing na werkfunksie 0/2 (2)
10.1.2 D
Frequency of light is less than the threshold frequency /f < f 0 / Energy of
light is less than the work function of the metal /E < W0
Frekwensie van lig is minder as die drumpelfrekwensie /f < f0 / Energie van
lig is minder as die werkfunksie van die metaal /E < W0 (2)
10.1.3 E = W o + E k(max)
E = W o + K max (any one)
(6,63×10-34)(3,15×1014)= (6,63×10-34)(0,06×1014) + ½(9,11×10-31)v2
v = 6,71×105 m·s-1 (5)
10.1.4 Remains the same /Bly dieselfde (1)
10.2 Marking criteria/Nasienkriteria
If any of the underlined key words/phrases in the correct context is
omitted deduct 1 mark/Indien enige van die onderstreepte sleutel
woorde/frases in die korrekte konteks uitgelaat is, trek 1 punt af.
It is formed when certain frequencies of electromagnetic radiation are
emitted due to an atom making a transition from a higher energy state to
a lower energy state./Dit word gevorm wanneer sekere frekwensies van
elektromagnetiese straling uitgestraal word as gevolg van 'n atoom wat 'n
oorgang maak van 'n hoër energietoestand na 'n laer energietoestand. (2)
[12]
TOTAL/TOTAAL: 150
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