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Physical Sciences Grade 12 P1 Free State November 2021 Memo
Grade 12 Physical Sciences Paper 1 memorandum from the Free State November 2021, 35 pages. Read online or download the free PDF.
Physical Sciences · Grade 12 · Free State November · 2021. Memorandum, 35 pages. Read online or download the PDF.
- Subject
- Physical Sciences
- Grade
- Grade 12
- Document type
- Memorandum
- Year
- 2021
- Exam period
- Free State November
- Paper
- 1
- Curriculum
- CAPS
- Pages
- 35
- File size
- 2.6 MB
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Grade 12 Prep.Exam.
INSTRUCTIONS AND INFORMATION
1. Write your name and other information in the appropriate spaces on the
ANSWER BOOK.
2. This question paper consists of 10 questions. Answer ALL 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 sub-questions, for example between r&sTION .._
2.1 and QUESTION 2.2.
6. You may use a non-programmable pocket calculator.
7. You may use appropriate mathematical instrumen
�
8. You are advised to use the attached DATA SH� i-
9. Show ALL formulae and substitutions in �\culations.
10. Round off your FINAL numerical ans1 ,..
k�to a minimum of TWO decimal
places where applicable.
11. Give brief motivations, discu��s, et cetera where required.
Q
12. Write neatly and legibly \\
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QUESTION 1
Various options are provided as possible answers to the following questions. Choose
the answer and write down only the letter ( A - D) next to the question number (1.1-
1.10) in your ANSWER BOOK, e.g. 1.11 E.
1.1 A car is moving at a CONSTANT velocity on an incline.
Which ONE of the following statements about the forces acting on the car is
CORRECT?
A There are no forces acting on the car.
B The net force acting on the car is zero.
C
D �f
There is a non-zero net force acting on the car.
The weight of the car is equal to the normal (2)
1. 2 A ball of mass m strikes a wall perpendicularly q.)�peed 2v. Immediately
after the collision the ball moves in the opposi ��frection at a speed v, as
shown in the diagram below.
The magnitude of the impulse of the t,a.� ...
m
-,
A
111 \
,_.,
m I
B :v
C 2mt\O
D �◊ (2)
1.3 A Ot�ne is dropped from a certain height above the ground.
Which ONE of the following combinations is TRUE while the stone is moving
downwards? Ignore the effects of air resistance.
NET FORCE ACTING ON MECHANICAL ENERGY OF
THE STONE THE STONE
A Remain the same Increases
B Decreases Remains the same
C Remain the same Remain the same
D (2)
Increases Decreases
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1.4 Which ONE of the following forces is an example for conservative force?
A Gravitational force.
B Tension in a chord.
C Frictional force.
D Normal force. (2)
1.5 Which ONE of the following combinations is TRUE for an elastic
collision?
TOTAL LINEAR MOMENTUM TOTAL KINETIC ENERGY
A Conserved Conserved
B Not conserved Not conserved
C Conserved Not conserved
D Not conserved Conserved
(2)
1.6 SPECTRUM A represents the visible light spectrum recorded on earth.
SPECTRA B and C are recorded from two stars Y and Z respectively
'-------'---II -----'-'I_------'----_
Blue Red
SPECTRUM A
Blue Red
I
SPEC TRUM B
� ____...
____._l.,_I ______
�II �I��
__ _
..__ _
Blue Red
SPECTRUMC
Which ONE of the following combinations most correctly describes the
movement of the stars relative to earth?
A Star Y is moving away from the earth and star Z is moving towards
the earth.
B Star Y is moving towards the earth and star Z is moving away from
the earth.
C Both Star Y and star Z are moving towards the earth.
D Both Star Y and star Z are moving away from the earth. (2)
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1.7 A stone starting from rest and rolls down a frictionless track, reaches the
bottom of the track with a speed v. What change must be effected on the
track for the stone to reach a speed of 2v at the bottom of the track?
Stone
A Double the height of the track.
B Increase the height by a factor ✓2 .
C Increase the height by four times.
D keep the height the same, but make the track twice steeper. (2)
1.8 Two identical charged spheres kept at a distance d apart. The force exerted on
one charge by th other is F. What is the new force, when the charge on one
sphere i OOUBLED?
(2)
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1.9 5 0 and 10 0 resistors are connected in parallel as shown in the diagram.
Ii
5n
12 10.0
A : I Ii
The relationship between current Ii and current 12 can be expressed as:
A
B
1
C 12 = - Ii
3
D 12 = -11 (2)
2
1.10 When an electron moves from a higher energy level to a lower energy level a
specific ...
A emission line in an emission spectrum is observed.
B absorption line in an emission spectrum is observed.
C emission line in an absorption spectrum is observed.
D absorption line in an absorption spectrum is observed. (2)
[20]
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QUESTION 2
A block of mass 100 kg is sliding down a rough inclined surface at a CONSTANT
speed when a force F is applied parallel to the inclined plane as indicated in the
diagram below.
The coefficient of kinetic friction for the surfaces is 0,29.
2.1 Define the term normal force in words. (2)
2.2 Draw a labelled free-body diagram for the block. (4)
2.3 Calculate the magnitude of the applied force, F. (5)
2.4 Name the force that will form an action-reaction pair with the normal force
in this case. (1 )
[12]
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QUESTION 3
The position - time graph below, not according to scale, represents the motion of a
ball thrown vertically downwards with a speed of 3,28 m-s- 1 from the edge of the roof
of a 35 m high building. The ball hits the ground and is in contact with the ground for
0,1 s. The ball then bounces off to a maximum height x above the ground.
Ignore the effects of air resistance.
35
'- -'- time (s)
Q ---t 1--12---'---
3,86
3.1 Explain the term projectile. (2)
3.2 Calculate the:
3.2.1 Speed of the ball at time ti (3)
3.2.2 Time, ti, it takes the ball to hit the ground (3)
3.2.3 Height, x, reached by the ball after it bounces off the ground (7)
3.3 Draw the velocity-time graph for the ball from the moment it is thrown until it
reaches the maximum height x after the first bounce.
Indicate:
(i) The values of time h and 12
(ii) The velocities of the ball at time ti and 12 (3)
[18]
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QUESTION 4
Car A of mass 1 085 kg travelling east at a speed of 33 m-s-1, collides head on with
car B of mass 3 450 kg travelling west at a speed of 28 m-s·1. Immediately after the
collision, car A moves west at a speed of 5 m-s·1. Ignore friction.
33 m-s·1 28 m-s·1
)
Car A CarB
mass - 1085 kg mass - 3450 kg
s
4.1 State Newton's second law of motion in terms of momentum in words. (2)
4.2 Calculate the:
4.2.1 Velocity of car B after collision (5)
4.2.2 Magnitude of the impulse on car B during the collision (3)
4.3 Airbags serves as a safety feature during collision.
4.3.1 Use the relevant laws of physics to explain the purpose of air bags in
cars. ( 3)
4.3.2 Which driver sustains more injuries during above collision?
Choose from CAR A or CAR B (1)
[14]
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QUESTION 5
A 70 kg crate, starts from rest at point A (top of slope) and slides down a slope
inclined at 25° to the horizontal. The distance from point A to point B is 135 m.
135 m
B
The total kinetic friction between the crate and the surface is 150 N.
5.1 Define the term non-conservative force in words. (2)
5.2 Calculate the net work done on the crate, as it slides from point A to
point B. (4)
5.3 Calculate the time it takes the crate to slide from point A to point B. (6)
(12]
QUESTION 6
An ambulance moving at a constant speed along a straight horizontal road, emits
sound with a constant frequency. When the ambulance approaches a detector
mounted next to the road a frequency of f is recorded. After passing the detector, a
frequency of 0,55 f is recorded.
6.1 State the Doppler effect in words. (2)
6. 2 Calculate the speed of the ambulance. Take the speed of sound in air as
340 m-s· 1. (6)
6.3 State TWO applications of the Doppler effect. (2)
(10]
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QUESTION 7
x is a point 0,2 m from point charge, Qi, carrying charge -3x10-5 C.
0,2 m >I
•---------------------•
Qi X
7 .1 Define electric field at a point in words. (2)
7.2 Draw the electric field pattern due to the charge Qi. (2)
Now another point charge Q2, carrying a charge of +12x10-5 C is placed at a distance
of 0,35 m from Qi as shown below. N
----- 0,35 m-----
,-----------------------------------.
I< 0,2 m >I Q2
Qi X
7.3 Calculate the net electric field at point x due to the two charges. (6)
7.4 State Coloumb 's law in words. (2)
7.5 Calculate the magnitude of the electrostatic force exerted by charge Q2 on
charge Qi. (3)
7.6 Charge Q2 is moved further west. How will this change affect the net
electrostatic force at this new distance?
Choose from INCREASE, DECREASE or REMAIN THE SAME. (1 )
[16]
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QUESTION 8
A battery has an emf(£) of 12 V and an internal resistance of 0,2 0. The resistances
of the connecting wires are negligible, as shown in the circuit below.
10 0
R 15 0
s
E= 12V
0,2 0
8.1 What is the meaning of the underlined words? (2)
When switch S is CLOSED, the voltmeter reading decreases from 12 V and the
ammeter reading is 0,9 A.
8.2 Explain why the voltmeter reading decreases. (2)
Calculate the:
8.3 Total current in the circuit (4)
8.4 Resistance of resistor R (5)
8.5 The total power dissipated by the battery (3)
8.6 Will the ammeter reading INCREASE, DECREASE or REMAIN THE SAME if
the 15 n resistor is removed? Give a reason for the answer. (2 )
[18]
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QUESTION 9
9.1 The diagram below represents a simplified electric machine. The coil abed
rotates at 20 cycles per second.
"T •
The direction of the current in the coil is from a to b.
com
N
9.1.1 What type of electric machine is represented by the above diagram? (1)
9.1.2 Name the principle on which the machine operates. (1)
9.1.3 In which direction is the coil rotating?
Choose from CLOCKWISE or ANTICLOCKWISE. (1)
9.1.4 How long does it take for the coil abed to complete one rotation? (3)
9.1.5 State ONE way in which this machine can produce a lower output
voltage without changing its construction. (1)
9.2 An electrical device is rated 220 V, 1850 W.
9.2.1 Define the term rms voltage in words. (2)
Calculate the:
9.2.2 Rms current passing through the appliance when it is operating. (3)
9.2.3 Resistance of the device. (3)
[15]
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QUESTION 10
An experiment is conducted to investigate the relationship between the frequency of
light incident on a metal cathode and the maximum kinetic energy of the emitted
electrons from the surface of a metal cathode of a photocell.
The graph represents the results obtained.
Graph of maximum kinetic energy versus frequency of light
>
0
Cl)
C
Cl)
u
·.;::::;
Cl)
C
0, 5 10 >5' 2,0 f (x1015 Hz)
, _-�·
-X ,
10.1 For this investigation, write down the following:
10.1.1 Controlled variable (1)
10.1.2 Dependent variable (1)
10.2 Name the phenomenon on which this experiment is based. (1)
10.3 Define the term work function in words. (2)
10.4 Calculate the:
10.4.1 Value of x as shown on the graph (3)
10.4.2 Frequency of the incident light that will emit electrons from
the surface with a maximum speed of 5,23x105 m•s- 1 (4)
10.5 The intensity of the light is now increased. State how this change affects the
current in the photocell .
Choose from INCREASES, DECREASES or REMAINS THE SAME.
Explain your answer. (3)
[15]
GRAND TOTAL: 150
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FS/SEPTEMBER/ 2021
DATA FOR PHYSICAL SCIENCES GRADE 12
PAPER 1 (PHYSICS)
GEGEWENS VIR FIS/ESE WETENSKAPPE GRAAD 12
VRAESTEL 1 (FIS/KA)
TABLE 1: PHYSICAL CONSTANTS/ TABEL 1: FIS/ESE KONSTANTES
NAME/ NAAM SYMBOL/ S/MBOOL VALUE/ WAARDE
Acceleration due to gravity
g 9,8 m-s-1
Swaartekragversnelling
Universal gravitational constant
G 6,67 x 10-11 N-m 2-kg·2
Universe/e gravitasiekonstant
Speed of light in a vacuum
C 3,0 x 108 m-s· 1
Spoed van Jig in 'n vakuum
Planck's constant
h 6,63 X 10-34 J·S
Planck 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
Mass of the Earth
M 5,98 X 1024 kg
Massa van die Aarde
Radius of the Earth
RE 6,38 X 106 m
Radius van die Aarde
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TABLE 2: FORMULAE/TABEL 2: FORMULES
MOTION/BEWEG/NG
2
V1 =V; +2MX Oro
If V 1 =V; +2My
2 2 2
FORCE/KRAG
Fn et = ma P= ITW
f max
s
=µ s N fk µk N
=
Fnet l'.lt =
L'.lp
W=l'TY:J
Llp = mv 1 mv i
Mf
F=G-2 - F=G-2 - g =G-
m1m m1m
g =G
2 2
or/of or/of
c
2
d r r
WORK, ENERGY AND POWER/ARBE/D, ENERGIE EN DRYWING
W=F�xcose U=mgh or/of Ep = mgh
Wnet = �K or/of wnet = b.Ek
mv 2 1
K=_!
2
or/of Ek =-rnv
2 2
�K = K, -K; or/of �Ek = Ekf -Eki
W
Wnc = �K + �U or/of wnc =�Ek + �Ep P=
b.t
Pav = FVav / Pgemid = FVgemid
WAVES, SOUND AND LIGHT/GOLWE, KLANK EN LIG
V=fA T=�
f
V±VL v v
f= f f = ± L f
b E= hf or /of E=h�
L v+
- vs s L v v
± b "-
E = Wo + E k(max) or/of E =WO + K max where/waar
1 -1
E =hf and/en Wo = hfo and/en Ek (max) = rnv �ax or/of K max - rnv 2max
2 2
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ELECTROSTATICS/ELEKTROSTA TIKA
k kQ
F= Q l2Q 2 E= 2
r r
W F
V= E=
q q
n=
Q
or/of n= _2_
qe
ELECTRIC CIRCUITS/ELEKTR/ESE STROOMBANE
emf ( £)= l(R + r)
V
R =-
emk ( £)= l( R + r)
R s =R1 +R 2 + ...
1 1 1 q=I fit
-=-+-+ ...
RP Rl R2
W=Vq W
P=
Lit
W =VI fit
P =VI
W= 1 2Rfit
2
P =l R
2
w----
V Lit
R
v
P=-
2
R
ALTERNATING CURRENT/W/SSELSTROOM
Pa1.e =Vrms l rms I pgemiddeld = Vwgkl wgk
_
l r ms =
! max
✓2 I I wgk ✓
- lma2ks
pa1.e = l �sR I pgemiddeld = l�kR
vmax vmaks
v,ms = 2 ✓ I Vwgk -
- ✓2 vr�s V1gk
pa1.e =
R
I pgem iddeld = R
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�1-
�� �..� . \•",
l. �
' ' Department of
Education
FREE STATE PROVI CE
PREPARATORY EXAMINATION
VOORBEREIDENDE EKSAMEN
GRADE/GRAAD 12
PHYSICAL SCIENCES: PHYSICS (Pl)
FIS/ESE WETENSKAPPE: FIS/KA (V1)
SEPTEMBER 2021
MARKS/PUNTE: 150
MARKING GUIDELINES
NASIENRIGL YNE
This marking guidelines consists of 17 pages.
Hierdie nasienriglyne bestaan uit 17 bladsye.
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Marking Guidelines/Nasienriglyne
QUESTION/VRAAG 1
1.1 B ✓✓ (2)
1.2 o ✓✓ (2)
1.3 c ✓✓ (2)
1.4 A✓✓ (2)
1.5 A✓✓ (2)
1.6 A✓✓ (2)
1.7 C✓✓ (2)
1.8 A✓✓ (2)
1.9 B ✓✓ (2)
1.10 A✓✓ (2)
[20]
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Marking Guidelines/Nasienriglyne
QUESTIONNRAAG 2
Marking criteria/Nasienkriteria:
If any of the underlined key words/phrases in the correct context are omitted:
- 1 mark per word/phrase
As een van die onderstreepte s/eutelwoorde/frases in die regte konteks
weggelaat word:
- 1 punt per woordlfrase
2.1 The force or the component of a force which a surface exerts on an object
with which it is in contact, and which is perpendicular to the surface. ✓ ✓
Die kraq of die komponent van 'n kraq wat 'n oppervlak op 'n voorwerp
uitoefen waarmee dit in kontak is, en wat /oodreq op die oppervlak is. (2)
2.2
N ACCEPTIAANVAAR
F
Fg11
Accept the following symbols/Aanvaar die volgende simbole
F Fapplied / Force applied / FA ✓
Froeaeoas I Krag toegepas I FA
Fg w / Fw / weight/ gewig ✓
N FN / Normal / Normal force ✓
FN I Normaal I Normaalkrag
f FtI fk / friction / frictional force/kinetic frictional force ✓
Ft/ fk / wrywing / wrywingskrag I kinetiese
wrywingskrag
NOTE/LET WEL:
• Mark awarded for label and arrow/Punt toegeken vir byskrif en pyl
• Do not penalise for length of arrow since drawing is not to scale. Moenie
penaliseer vir die lengte van die pyl nie, want die tekening
is nie volgens skaal nie. 3
• Any additional force(s)!Enige bykomende krag(te) 4
• If force(s) do not make contact with body/As krag(te) nie kontak
met liggaam maak nie �
• No labels/Geen byskrifte
4
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Marking Guidelines/Nasienriglyne
2.3
Marking criteria / Nasienkriteria:
• Showing Fnet/netto = O ✓
•
• Substitution of first term0 ✓
• Substitution of second term
• Final answer of/ Finale antwoord van 157,48 N✓
Range (152,98N to/tot 157,45N)
OPTION / OPSIE 1:
Downwards as positive/Afwaarts positief:
Fnet = ma or Fnet = O
-F - fk + F911 = 0 } Any ✓
-F - µkmgcos0 + mgsin0 = 0
-F - O,289x(1OOx9,8cos25 °) ✓ + (1OOx9,8)sin25° ✓ = O ✓
F = 157,48 N ✓
Downwards as negative / Afwaarts positief
Fnet = ma or Fnet = 0
F + fk - Fgtt = 0
F + µkmgcos0 - mgsin0 = 0
}
F + O,289x(1OOx9,8cos25 ) ✓ - (1OOx9,8)sin25° ✓ = 0 ✓
°
F = 157,48 N✓ (5)
2.4 Perpendicular force tha the water tank exerts on the surface. ✓
Loodreg krag wat die watertenk op die oppervlak uitgeoefen.
ACCEPT/AANVAAR
mgcose (1)
[12]
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Marking Guidelines/Nasienriglyne
QUESTION/VRAAG 3
3.1 An object upon which the only force acting is the force of gravity (2 or 0) ✓ ✓
'n Voorwerp waarop die eniqste kraq wat daarop inwerk, swaartekraq is. (2)
3.2.1
Marking criteria / Nasinkriteria:
Appropriate formula/ Toepas/ike formu/e ✓
Substitution of/ Vervanging van 3,28 & 35 ✓
Final answer of/ Finale antwoord van 26,396 m-·1 ✓
Range (26,397 to 26,41)
Downwards as positive/ Upwards as positive/
Afwaarts positief Opwaarts posiitief
OPTION 1 / OPSIE 1
v 21 = v 2i + 2a�y ✓ v: = v� + 2a�y✓
= ( ,28 )2 + 2 (9,8 )( 5) ✓
3 3 = ( ,28 )2 + 2(9,8 )( 5) ✓
3 3
= 26, 96 m • s- 1 ✓ v t = 26, 96 m · s- ✓
1
3 3
Vr
OPTION 2/ OPSIE 2
v 1 = v i + a�t ✓ v, = v i + a�t ✓
= ,28 + (9,8 X2, 59) ✓
3 3 = - ,2s+ (-9,sX2, 59)✓
3 3
v 1 = 26, 98 m · s-1✓
3 v 1 = 26, 98 m · s-1 ✓
3
OPTION 3/ OPSIE 3
Vr+V Vt +V-
�y = ( )�t✓
I �y = ( I ) �t ✓
2 2
Vf + 3,28 = (Vf \ •28
35 = (
3
)( 2,359)✓ 35 )(2,359) ✓
2
v 1 = 26, 98 m · s-1 ✓
3 v 1 = 26, 98 m · s-1 ✓
3
( )
3
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Marking Guidelines/Nasienriglyne
3 .2.2 POSITIVE MARKING FROM QUESTION 3.2.1 / POSIT/EWE NASIEN
ANAF 3.2.1
Downwards as positive/ Upwards as positive/
Afwaarts positief Opwaarts posiitief
OPTION 1/0PS/E 1
V 1 = V; + aL'it ✓ V 1 = V; + aL'it ✓
26 ,396 = 3,28 + ( 9, 8 )L'i t ✓ -26,396 = 3,28 + (-9, 8 )L'it ✓
L'i t = 2359 s ✓
' L'it = 2,359 s ✓
OPTION 2/0PS/E 2
L'iy = V;L'it + ½a!it2 ✓ L'iy = V;L'it + ½a!it2 ✓
1
2
3 5=3,28L'it+ !( 9, 8 )L'it ✓ - 35=- 328L'i' t+-(-9 8 )L'it2 ✓
2 2 '
L'i t = 2'359 s ✓
✓
L'i t = 2,359 s
OPTION 3/OPS/E 3 OPTION 3/OPS/E 3
v1 v; V V;
L'iy=( ; ) L'it ✓ liy =( 1 ; )lit ✓
= 26,39 + 3,28 = -26,396 (- 3,28 )
35 ( � )L'it ✓ 35 ( ; )L'it ✓
L'it = 2,359 s ✓ L'it = 2,359 s ✓
(3)
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Marking Guidelines/Nasienriglyne
3.2.3 Calculate velocity at tz/ Bereken sne/heid by ti
12 = 2,359 + 0.1✓
= 2,459 s
Time to max(x) = 3,86 - 2.459 ✓
= 1,40 s
V r =V;+ai"1t ✓
0 = V; +9,8(1,40) ✓
V =-1373m•S-1
I ,
Downward as positive/ Upward as positive/
Afwaarts positief Opwaarts positief
OPTION 1/ OPSIE 1
v2 - 2
- v 1 +2a6..y
✓ v1 = v� +2a6..y ✓
f
2
0=(-13, 73) +2(9,8)Lly ✓
2
0 = (13,73) + 2(- 9,8)Lly ✓
6..y = -9,62 m 6,.y = 9,62 m
:. Height/ Hoogte = 9,62 m ✓ :. Height/ Hoogte = 9,62 m ✓
OPTION 2/ OPSIE 2
6..y = V 6..t + 2.la6..t2 ✓
I
6..y =V;6..t + -½a6..t2✓
2 2
=(-1 3 ,73 X1,4)+ 1 (9,sX1A) ✓ = (1 3 ,73 X1,4 )+ 1 (- 9,8 X1 ,4 )✓
2 2
6,.y = -9,62 m 6,.y = 9,62 m
:. Height/ Hoogte = 9,62 m ✓ :. Height/ Hoogte = 9,62 m ✓
OPTION 3/ OPSIE 3
V; V V; V
6,.y = ( ; f )6,.t✓ 6,.y = ( ; f )6,.t✓
+(- 3 , 73 )
= ( (o
+ - 3 , 73
( � ))}1,4 ✓ = ((o � ) )1.4) ✓
)
6..y = -9,62 m 6..y = -9,62 m
:. Height/ Hoogte = 9,62 m ✓ :. Height/ Hoogte = 9,62 m ✓
(7)
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Marking Guidelines/Nasienriglyne
3.3 POSITIVE MARKING OF QUESTION 3.2.1 AND 3.3.2 I POSIT/EWE NASIEN
VAN 3.2.1 EN 3.2.2
OPTION 1: Downward Positive
OPSIE 1: Afwaarts Positief
Marking criteria/ Nasienkriteria:
• Velocity striking the ground
and leaving the ground at hand t2. ✓
26 ,39 ---------------------- Snelheid waarteen grand getref en
grand verlaat word by t1 en t2
• Contact time hand t2 I Kontaktyd t1 en
t2 ✓
:"S;!
(l)
3,28 • Lines parallel / Paralelle lyne ✓
:S
(l)
2,4 6 3, 86
>,
:!:: 2,36
u Time(s)/Tyd
0
-13, 76 ---------------------------------
OPTION 2: Upwards positive
OPS/E 2: Opwaarts positief
.............
13, 76 -- --------------------------------- ---------------,
I I
:"S;!
:S
(l)
2 36
>, 2,46 3,86 Time(s)/Tyd
·g -3,28
>
Q)
-26 , 39 ------------------------ (3)
[18]
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Marking Guidelines/Nasienriglyne
QUESTION/VRAAG 4
4.1 The resultant/net force acting on an object is equal to the rate of change
of momentum of the object in the direction of the net/resultant force. ✓ ✓
(2 or 0)
Die resulterendelnetto kraq wat op 'n voorwerp inwerk is qelyk aan die
tempo van veranderinq van momentum van die voorwerp in die rigting
van die nettolresulterende krag. (2 of 0) (2)
4.2.1
OPTION 1 / OPSIE 1
Motion to the east(+)/ Beweging na o s(+)
r Any!Enige ✓
" _ L..P
L-P t - " j
m 1 v 1 i + m 2 v 2i,/'° m 1v 11 + m 2v 21 ✓
1085 (+33) + 3450 (-28) = 1 085 (-5) + 3450v 21
v 21 = - 15, 05 ✓ west / forward ✓
1
= 16,05 m · s- wes I voorwaarts
OPTION 2/ OPSIE 2
Motion to the east(-)/ Beweging na oos(-)
LP, - LP,
m,v,i + m 2 v 2i = m 1 v 11 + m 2 V 21 J
l
Any/Enige ✓
1 085 (-33) + 34 50 ( +28)✓-= 1 085 ( +5 ) + 3450v 21✓
V 21 =+16,05
= 16,05 m · s- ✓ west / forward ✓
1
wes I voorwaarts
(5)
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Marking Guidelines/Nasienriglyne
4.2.2 POSITIVE MARKING FROM QUESTION 4.2.1/ POSIT/EWE NASIEN VANAF
4,2,1
OPTION 1: CAR B OPTION 2: CAR B
Motion to the west(+) Motion to the west(-)
OPSIE 1: KAR B OPSIE 2: KAR B
Beweging na wes (+) Beweging na wes (-)
Impulse= �P = m�v✓ Impulse= �P = m�v✓
= 3450(16,05 - 28)✓ = 3450(-16,05 - ( - 28))✓
= - 41227,5 = 41227,5 N·s ✓
= 41227,5 N-s✓
OPTION 3: CAR A OPTION 4: CAR A
Motion to the west(+) Motion to the west(-)
OPSIE 3: KAR A OPSIE 4: KAR A
Beweging na wes (+) Beweging na wes (-)
Impulse= �P = m�v ✓ Impulse= �P = m�v✓
= 1085(5 -( - 3 3))✓ = 3450(-5 - ( + 3 3)) ✓
= 412 30 N-s✓ = - 412 30
= 412 30 N-s ✓
(3)
4.3.1 According to Newton's second law ✓ I Fnec �p
M
Air bag causes an increase in collision time ✓ which results in a lesser /
smaller force ✓ ( for the driver/passenger) (3)
4.3.2 Car A / Kar A ✓ (1)
[14]
QUESTION/VRAAG 5
5.1 A force for which the work done in moving an object between two points
is dependent of the path taken.✓✓
'n Krag waarvan die werk wat verriq word om 'n voorwerp tussen twee
punte te skuif, afhanklik is van die pad wat qevolq word. (2)
5.2
Wnet = W1 + WFg//
= Mxcose + mgsin8�xcos8 ✓
}
= 150(135)C0Sl80 ✓+ 70(9,8)sin25 °(135)COS0° ✓
°
= -20 250 + 39 138, 677
= 18 888,677 J ✓ (4)
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Marking Guidelines/Nasienriglyne
5.3 POSITIVE MARKING FROM QUESTION 5.2/ POSIT/EWE NASIEN VANAF
5.2
OPTION 1/0PS/E 1
Wnet = L'iK
1 2 2 }Anv ✓
v
= m(v t - i )
2
18 888,677✓= !(70)(v; -0) ✓
2
v 1 = 23 ,?3 m · s-1
''
'
L'iy = (V f +''V\) L'it ✓
2
23 , 2 0)L'i
135 = ( �+ t ✓
L'it = 11,625 s ✓
OPTION 2/ OPSIE 2
-
Wnc = L'iK + L'iU
1 - Any ✓
faycos0=-m(v; -v;}+mg(h 1 -h i )
2
150( 135)cos180 ° ✓ = !(70 Xv; -o) +(70X9,8Xo -sin 25° x 135) ✓
2
v 1 = 23,2� m · s-1
''
I
L'iy
= (v + � )L'it ✓
1
2 \
23, 2 + o)L'it
135 = ( � ✓
L'it = 11,625 s✓
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Marking Guidelines/Nasienriglyne
OPTION 3/ OPSIE 3
Wnet = Fnet 6.xcos0
✓
18 888,68 = Fnei (135)cosO ° ✓
Fnet = 139,92 N
Fnet = ma
139,92 = 7Oa ✓
a= 2 m-s-2
1
6.y = V;6.t + -a6.t
2
✓
2
135 = 0 + !(2)6.t ✓
2
2
6.t = 1 1,625 s ✓
(6)
[12]
QUESTION/VRAAG 6
6.1 It is the (apparent) 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. ✓
Dit is die (skynbare) verandering in frekwensie (of toonhoogte) van die
klank (waargeneem deur 'n /uisteraar) omdat die klankbron en die
luisteraar verskillende snelhede het in verhouding tot die medium van
klankverspreiding.
OR/OF
An (apparent) change in (observed/detected) frequency (pitch),
(wavelength) ✓ as a result of the relative motion between a source and
an observer ✓ (listener).
'n (Skynbare) verandering in (waargenome) frekwensie (toonhoogte),
(golflengte) as gevolg van die relatiewe beweging tussen 'n bron en
'n waarnemer (luisteraar). (2)
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Marking Guidelines/Nasienriglyne
6.2
Towards: fl = ( v-vv Jt s
340
tV: ( 340- Jf ·•·equation 1
Vs
✓
5
Away : fl = ( +v Jt
V V5
s
0,55 f = ( 340340 Jt5✓ ... equation 2
+Vs
Equating-eqn 1 & eqn 2
153f = 1,55v J
V 5 =98,71m•S- 1 ✓ (6)
6.3 ANY TWO ✓✓
Doppler /Blood flow meter
Measuring the heart beat of a foetus
Radar
Sonar
Use to determine whether stars are receding or approaching earth (2)
(10]
QUESTION/VRAAG 7
7 .1 The electric field at a point is the electrostatic force ✓ experienced per
unit positive charge (placed at that point). ✓
Die elektrieseveld by 'n punt is die elektrostatiese krag ervaar per
eenheid positiewe lading (op daardie punt geplaas). (2)
Note: If electric field defined ( ½) / Let we/: As elektriese veld gedefinieer (½)
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Marking Guidelines/Nasienriglyne
7.2
Markin criteria/Nasienkriteria:
Correct direction towards the sphere ✓
Korrekte ri tin na die steer
Field lines not crossing and radial ✓
Veld/ ne wat nie die radial kruis nie (2)
7.3
EXQl = kQ
r2
✓
9 X 109 (3 X 10-5)
=----- -✓
(0,2)2
=6,75xl0 6 N-c-1 west
EXQ2 = kQ
r2
_ 9 X 109 (12 X 10- 5) ✓
-
2
(0,15)
= 4' 8 x10 7 N • c-1 west
✓
E net = EXQl + EXQ2
= 6,75xl0 6 + 4,8xl0 7
= 5,475 x10 7 N-c-1✓ west✓
(6)
7.4 The electrostatic force(of attraction/repulsion) between two point charges is
directly proportional to the product of the charges and inversely proportional
to the squareof the distance between them. ✓✓ (2)
7.5 = k0 , 0 2
F ✓
r2
9 5 5
9 X 1 0 ( 3 X 1 0 - 0( 12 X 1 0 -
=---------
)
2
✓
(0,35 )
= 264,49 N ✓ (3)
7.6 Increase / Neem aan ✓ (1)
[16]
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Marking Guidelines/Nasienriglyne
QUESTION/VRAAG 8
8.1 The battery supplies 12J ✓of energy per coulomb of/per unit charge. ✓
Die battery voorsien 12J per coulomb van/per eenheidsladinq. (2 )
8.2 Due to the internal resistance ✓ energy is dissipated (per coulomb of
charge ) in the battery. ✓
As gevolg van die interne weerstand, word energie per coulomb lading
in die battery omgeskakel. (2 )
8.3
Marking criteria/ Nasienkriteria:
Appropriate f ormula/ Toepaslike formule V = IR ✓
Calculating current in/ Bereken stroom in 15 n ✓
Adding two currents/✓
Final answer /Finale antwoord van 6Q ✓
V= IR✓ ACCEPT
V1on = V1sn
lion: lisn =15 :10 ✓
lionV1on = lisnV1sn
0,9(10) = lisn{15) ✓ 0,9 0,6 ✓
ITOT =0,9+0,6✓
lisn = 0,6 A =1, 5 A ✓
IToT = lion+lisn
=09+06 ✓
I I
=15A ✓
I
(4)
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8.4 POSITIVE MARKING FROM QUESTION 8.3 / POSIT/EWE NASIEN VANAF
8.3
OPTION 1 / OR/OF OR/OF
OPS/El
R, xR2
1 1 1 R=
-=-+- P R1 + R2
RP Rl R2 10 X 15 _,
= 1 1
1 1 10 +15 ( + )
=-+- ✓ = 10 15
10 15 =6Q =6n
... R P = 6Q
OPTION 2 / OPSIE 2
c = I (R+Rp+ r) ✓
✓
12 = 1,5 (R+ 6 + 0,2) ✓
:.R = 1,8Q ✓
=-
1,5
=80
R = R+R + r
T P
✓
8 = R + 6 + O,�
R= 1,8 Q ✓ (5)
8.5
OPTION 1/ OPSIE 1 OPTION 2 / OPSIE 2 OPTION / OPSIE 3
✓
P =VI✓ P = 1 2R✓ v2
= 12(1,5)✓ = (1,5)2(8)✓ P=-
R ✓
= 18W✓
= 18W✓ (12)2
8
=18 W✓
(3)
8.6 Decreases✓ The total resistance increases. ✓ (2)
(18]
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Grade/Graad 12 Prep.ExamNoorb. Eksam.
Marking Guidelines/Nasienriglyne
QUESTION/VRAAG 9
(1)
9.1.1 AC Generators/ WS-generatorslopwekkers ✓
(1)
9.1.2 Electromagnetic induction/ Elektromagnetiese induksie ✓
9.1.3 Anticlockwise/ Antikloksgewys (1)
T =! ✓
9.1.4
=- ✓
20
= 0,05 s ✓
(3)
9.1.5 Reduce rotation speed (to less than 20Hz). ✓
Verminder rotasiespoed (na minder as 20Hz). (1)
9.2.1 The rms value of AC is the DC potential difference which dissipates the
same amount of energy as AC. ✓ ✓
Die wgk-waarde van WS is die GS-potensiaalverskil wat diese/fde
hoeveelheid energie as WS versprei. (2)
9.2.2 Pave = Vrms lrms ✓
1850 = (220) I rms ✓
lrms = 8,41 A ✓ (3)
9.2.3 POSITIVE MARKING FROM 9.2.2 / POSIT/EWE NASIEN VANAF 9.2.2
OPTION / OPS/E 1 OPTION / OPSIE 2 OPTION 3/OPSIE 3
Pave = 1 2rms R✓ = (V ,m,)
2
1850 (8,41) R✓ V,m., ✓
R-
= 2
-- ✓ pave
R
R = 26,160 ✓ J,ms
220 ( 220? ✓
=- ✓ 1850 =
8,41 R
✓
= 26,16 n ✓
:.R=26,16Q
(3)
[15]
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QUESTION/VRAAG 10
10.1.1 Metal (cathode)/ Metaal (katode)lwork function/threshold frequency I
Wo /fo✓ (1)
10.1.2 (Maximum) Kinetic energy✓ (1)
10.2 Photoelectric effect✓ (1)
10.3 The minimum energy ✓ that an electron in the metal needs to be emitted
from the metal surface ✓
Die minimum enerqie wat 'n e/ektron in die metaa/ vanaf die metaa/-
oppervlak moet uitstraal (2)
10.4.1 W = hf ✓
o o
=(6,63x10-34 )(1,75x10 15 ) ✓
= 1 , 16 X 1 o-lB J ✓
(3)
10.4.2 POSITIVE MARKING FROM QUESTION 10,4.1 / POSIT/EWE NASIEN
VANAF 10.4.1
E = WO + Ek(max)
hf= hf�+ ½�v,�1., ✓
(6,63 X10-34 )f = 1,J 6 X 10-IS + ½(9,11 X 10-)I )(5,23 X 10 5 ) ✓
2
15
f = 1,94x 10 Hz ✓ (4)
10.5 Increases/ Neem toe ✓
The number of photons per unit time increases ✓ when the intensity of
the light increase. Therefore, the number of photo-electrons per unit time
increase. ✓ (Thus the current (I =_g__) increases.)
Die aantal fotone per eenheidstyd neem toe wanneer die intensiteit van
die Jig toeneem. Daarom sa/ die aantal foto-elektrone per eenheidstyd
toeneem. (Dus neem die stroom (I =;j toe.) (3)
[15]
TOTAL/TOTAAL: 150
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