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Physical Sciences Grade 12 Paper 1 Limpopo Mock 2021 Memo
Grade 12 Physical Sciences Paper 1 memorandum from the Limpopo Mock Exam 2021, 34 pages. Read online or download the free PDF.
Physical Sciences · Grade 12 · Limpopo Mock Exam · 2021. Memorandum, 34 pages. Read online or download the PDF.
- Subject
- Physical Sciences
- Grade
- Grade 12
- Document type
- Memorandum
- Year
- 2021
- Exam period
- Limpopo Mock Exam
- Paper
- 1
- Curriculum
- CAPS
- Pages
- 34
- File size
- 5.5 MB
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Physical Sciences/Pl 2 Limpopo DoE/September 2021
NSC
INSTRUCTIONS AND INFORMATION
1. Write your NAME in the appropriate space on the ANSWER BOOK.
2. This question paper consists of 10 questions. Answer QUESTION 10.4 on the
attached graph paper. Answer ALL the other questions in the ANSWER
BOOK
3. Start EACH question on a NEW page in the ANSWER BOOK.
4 Num�er the answers correctly according to the numbering syst�sed in this
question paper.
C.,•
5. Leave ONE line between two subquestions, !�,&,ample between
QUESTION 2.1 and QUESTION 2.2. _
6. You may use a non-programmable calculator. e<v.
�
7. You may use appropriate mathematical i ents.
8. You are advised to use the attached �'i., �HEETS.
9. Show ALL formulae and substitu�� in ALL calculations.
10. Round off your FINAL t1t0-<S::a1 answers to a minimum of TWO decimal
places.
'\\
11. Give brief motiv"Y...�iscussions, et cetera where required.
12. Write neatly a@lgibly.
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Physical Sciences/Pl 3 Limpopo DoE/September 2021
NSC
QUESTION 1: MULTIPLE-CHOICE QUESTIONS
Various options are provided as possible answers to the following questions. 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. Each question has only ONE correct answer.
1·1 Which ONE of the following physical quantities is represented by the ratio /iv ?
lit
A Acceleration
B Displacement G0�
C Momentum
D Net force (2)
��
1.2 A satellite orbits Earth at a height where it exp rie e�a gravitational force four times
less than that on the surface of the Earth. If Ea? ' radius is R, then the height of the
satellite above Earth's surface is ...
A 4R.
B 3R.
C 2R.
D R. (2)
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Physical Sciences/Pl 4 Limpopo DoE/September 2021
NSC
1.3 A ball thrown vertically upwards from point X reaches its greatest height at point Y
and returns to the same level as X at point Z, as shown in the diagram below.
y
X Z
Neglect the effects of air resistance.
Which ONE of the following statements is CORRECT?
A The acceleration at point Y equals zero
B The speed at X equals the speed at z
C It takes longer time from X to Y than Y to Z
D The velocity at X equals the velocity at Z
(2)
1.4 The net force acting on a moving object is ZERO.
Which statement about the momentum and kinetic energy of the object is CORRECT?
MOMENTUM KINETIC ENERGY
A Stays constant Changes
Stays constant Stays constant
C Changes Changes
D Changes Stays constant (2)
1.5 Which ONE of the following is the BEST indication that mechanical energy is
conserved?
A Wnet + �Ek = 0
B Ep +fa= 0
(2)
D �p + �E p = 0
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Physical Sciences/Pl 5 Limpopo DoE/September 2021
NSC
1.6 A sound source recedes (moves away) from a stationary observer at constant
velocity.
Which ONE of the following CORRECTLY describes how the observed frequency and
wavelength differ from that of the sound source?
FREQUENCY WAVELENGTH
Greater than Greater than
Greater than Less than
C Less than Greater than
D Less than Less than
(2)
,,
1.7 Two id nUcal conducting spheres M nd N carry charges of +12, 8 x 10-19 C and
-1 ,8 x 10·19 C, respectively. The sp eres are allowed to touch.
ctrons does M gain wh n the spheres touch?
A
B
C
D (2)
1.8 Which ONE of the following graphs best represents the relationship between the
current {I) and the power output (P) for an appliance with constant resistance?
B
p
0
C D
p p
0 (2 )
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Physical Sciences/Pl 6 Limpopo DoE/September 2021
NSC
1.9 . . of conventional
A current-carrying, rectangular coil 1s 1rr-a rflagnel1cl1eltf. The d1rect1on .
current in the coil is as shown in the diagram below.
(Direction of rotation of coil)
\.!/
I
I
I
1 t 2
-
The coil is turning clockwise.
Which combination correctly indicates the polarity of magnets 1 and 2?
MAGNET 1 MAGNET 2
A South North
B North North
C South South
D North South (2)
1.10 Ultra-violet light emits electrons from a Zn plate.
How would the maximum kinetic energy, Ek(max), of the photoelectrons and the number
of photoelectrons emitted per second be affected by using more intense ultra-violet
light?
Ek(max) Number of photoelectrons
emitted per second
A Decreased Increased
B Unchanged Unchanged
C Unchanged Increased
D Increased Unchanged (2)
[20]
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Physical Sciences/Pl 7 Limpopo DoE/September 2021
NSC
A box of mass 65 kg slides down an incline, as shown in the diagram below.
The incline makes an angle of 20° with the horizontal. The frictional force acting on the box is
constant.
2.1 Define the term frictional force. (2 )
2.2 Draw a labelled free-body diagram for the box as it slides down the incline. (3)
The velocity versus time graph for the box as it moves down the incline is shown below.
r ,
..........
..-I '
_________________ I ________________ - 1
'
'II) 6 _________________ L ________________
I
-----------------�----------- ---- 1
I
55 -----------------�------
I
I
---------O
1
� � '
I
·c::; 4 - - - - - - - - - - - - - - - - - - -1
I
------L-----------------1
0
0 I
a3 3
O
- - - - - - - - - - -1- - - - - - - - - - - - - - - - - -
> r
' 1
'
2 -----------------L-----------------
- - - - - - - - - -- - - - - - -� - - -·- - - - - - - - -- - - - -: 1
1 - - -- - - - - ---
----------------- �� - - -- - - - - -- --- - - --:
-----------------
o ,__-----....·------....' ----- 1
1;0 2:0 time (s )
2.3 Use the data in the graph to show that the magnitude of the acceleration of the box is
1,75 m-s·2. (3)
2.4 State, in words, Newton's second Law of motion in terms of acceleration. (2)
2.5 Calculate the:
2.5.1 Resultant force acting on the box (3)
2.5.2 Kinetic fictional force acting on the box (4)
[17]
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Physical Sciences/Pl 8 Limpopo DoE/September 2021
NSC
QUESTION 3 (Start on a new page)
A stone is thrown vertically from the ground. It passes a 2,0m high window whose sill is
10,0m above the ground. The stone takes 0,15 s to travel the 2,0m height of the window .
Diagram is not drawn to scale.
- -------
window . 2,0m
-- ' -- - ,_ - ,------
10,0m
' n� Stone Ground
Neglect the effects of air resistance (i.e. the stone moves under the influence of gravitational
force only).
3.1 Write down the term which describes the bracketed statement. (1)
3.2 USE EQUATIONS OF MOTION to calculate the:
3.2.1 The speed with which of the stone is thrown (5)
3.2.2 Maximum height above the ground that the stone reaches (4 )
3.3 Sketch a velocity versus time graph to illustrate the motion of the stone from the
moment it leaves the ground until it reaches its maximum height. (Take upwards as
the positive direction).
Clearly show the value of the initial velocity on the graph. (3)
3.4 Write down the magnitude of the acceleration of the stone at the maximum height. (1)
[14]
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Physical Sciences/Pl 9 Limpopo DoE/September 2021
NSC
QUESTION 4 (Start on a new page)
A bullet of mass 2 g travelling horizontally strikes a 1 kg wooden block which is at rest.
Vbi
c::>
bullet
The bullet emerges instantly on the opposite side of the block with a reduced velocity of
50 m-s-1. The frictional force acting on the block is 1,96 N. The block is observed to travel
0,09 m before stopping, as shown in the diagram above.
4.1 State, in words, Newton's second Law of motion in terms of momentum. (2)
4.2 Calculate the magnitude of the initial velocity of the bullet WITHOUT USING
ENERGY PRINCIPLES. (7)
4.3 Draw a labelled vector diagram (not to scale) to illustrate the relationship among the
initial momentum Pi, the final momentum pt and the change in momentum Ap for the
bullet. (2)
[11]
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Physical Sciences/Pl 10 Limpopo DoE/September 2021
NSC
QUESTION 5 (Start on a new page)
A block is released from rest at point A and slides down a curved frictionless track AB and
then moves along a frictionless horizontal track BC, and finally moves up a ROUGH inclined
plane CD.
,",,
/ .........
I
I
I
h
C B
The coefficient of kinetic friction between the block and incline CD is 0,35.
5.1 State, in words, the principle of conservation of mechanical energy. (2)
5.2 Use the principle of conservation of mechanical energy to calculate the speed of the
block at point B. (4)
5.3 Using energy principles, calculate the maximum height h reached by the block.
(6)
[12]
QUESTION 6 (Start on a new page)
When a sound source moves in an easterly direction towards a stationary learner at 15 m-s-1,
the frequency observed by the listener is ti. When the source is stationary and the learner
moves in a westerly direction towards the source at 25 m-s- 1, the frequency observed by the
learner is fa. The learner notes that fa is greater than ti by the 37 Hz.
6.1 Write down the NAME of the phenomenon that the learner observes and state this
phenomenon in words. (3)
6.2 Assuming that the speed of the sound in air is 340 m-s-1, calculate the frequency of
the source. (6)
6.3 Calculate the wavelength of the sound observed by the STATIONARY learner. (3)
6.4 Write down ONE applications of the phenomenon referred to in QUESTION 6.1 in the
medical field. (1)
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Physical Sciences/Pl 11 Limpopo DoE/September 2021
NSC
nownloade.d ,ram !=itanmorenhvs. ·cs. com
6.5 7"f1e speclrallines from a aistane longer wavelength of
the spectrum. Does this represent RED SHIFT or BLUE SHIFT? (1)
[14]
QUESTION 7 (Start on a new page)
Two identical NEGATIVELY charged spheres, X and Y, having charges of the SAME
MAGNITUDE, are placed 500 mm apart in a vacuum, as shown in the diagram below. The
.
magnitude of the electrostatic force that the one sphere exerts on the other is 0,288 N.
-•
I 500 m
X
------------ y
7.1 State Coulomb's Law in words. (2)
7.2 Calculate the:
7.2.1 Magnitude of the charge on EACH sphere (4)
7.2.2 Number of EXCESS electrons on sphere Y (3)
.
Pis a point 800 mm from sphere Y, as shown in the diagram below.
----------------�p
1 500 mm 1 800 mm 1
x-------v
7.3 Define the term electric field at a point in words. (2 )
7.4 What is the direction of the net electric field at P? Choose from LEFT or RIGHT. (1)
7.5 Calculate the number of electrons that must be removed from sphere Y so that the net
electric field at P is 4 x 104 N-c- 1 to the right. (7)
[19]
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Physical Sciences/Pl 12 Limpopo DoE/September 2021
NSC
A battery with an emf of 12 V and internal resistance r is connected in series to two identical
resistors, EACH with resistance X, as shown in circuit diagram 1 below.
CIRCUIT DIAGRAM 1
------------------------1
------------------------1:
t = 12 V
X X
The ammeter reading, A1, is 1,20 A.
8.1 Define the term internal resistance of a battery. (2)
The same battery is now connected to the same two resistors in parallel, as shown in circuit
diagram 2 below.
CIRCUIT DIAGRAM 2
-------------------------,
r _, -
__: �-� I
I
� -- _€_::. )._� _y_ ----------- _:
I
I
3, OA
X
X
The ammeter reading, A2, is 3,0 A.
8.2 Show that the total external resistance in circuit 1 is FOUR times that in circuit 2. (3)
8.3
Using the two circuits and the equation £ = l(R + r), Calculate the:
8.3.1 Resistance X
(3)
8.3.2 Internal resistance of the battery r.
(2)
The resistors in circuits 1 and 2 are replaced by identical 12 V non-ohmic bulbs.
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Physical Sciences/P1 13 Limpopo DoE/September 2021
NSC
8.4 Rows nlpade d. crom esanmerep phy, si es Bhi in circuit 1 when the circuit (4)
functions initially.
8.5 Explain why the resistance of a bulb in circuit 2 will not be the same as the resistance (3)
of a bulb in circuit 1 after a while.
[17]
QUESTION 9 (Start on a new page)
9.1 An engineer has an electric drill, which operates from an alternating current supply.
The drill is rated as follow:
2a0v QQ
1 800 W
50 Hz
The current passing through the drill when operating is represented in the graph below
Ka 10, 6f ----- ~~ 2 pee e ens nnn nnn nnn rrr nnn nnn nce
o
a x time (s)
-10, 6 | --------------------------------------- =
9.1.1 Define the term root mean square (rms) for an alternating current. (2)
Calculate the:
9.1.2 Time X indicated on the graph (3)
9.1.3 Root mean square (rms) current the drill draws when operating (3)
9.1.4 Resistance of the drill (3)
9.2 Explain why the transmission of the electrical energy is carried out using alternating
currents and high voltages.
9.2.1 From the scientific point of view (1)
9.2.1 From the economic point of view co
13.
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Physical Sciences/P1 14 Limpopo DoE/September 2021
NSC
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QUESTION 10 (Start on a new page)
Light with different wavelength (A) is incident on a metal surface. The variation of the
maximum kinetic energy Eximax of electrons emitted from the metal surface with inverse of
wavelength(~), is shown in the graph below.
ry
a
= aol \ \ H : H \ H
E ' ' ' ' ' ' ' H
30 Tt
10}-474 A
05 1,0 1,5 2,0 2,5 3,0 3,5 4,0 = (x 10° nm)
10.1 Define the term work function of a metal in words. (2)
10.2 Use the graph to determine the threshold frequency of the metal.
(3)
10.3. Calculate the work function of the metal. (3)
Caesium metal has a work function of 2, 48625 x 1079 J.
10.4 On the graph paper provided, draw a graph to show the variation of the maximum
kinetic energy Ex(max for caesium metal with . Label your graph P.
Show, by means of a suitable calculation, how you have arrived at the : -intercept (5)
[13]
TOTAL: 150
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Limpopo DoE/September 2021
15
NSC
Physical Sciences/P1
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QUESTION 10.4
Name of leaner: ....... 0. eee ececce cece eeeee eee eeeeeeeeeeneeeeeeeeeeeeeeseeseeteeeseeseeeeeeeeeeeees
(C gr-OT x) IE
(x 106 m*)
1
a
05 1,0 1,5 2,0 2,5 3,0 3,5 4,0
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16
NSC
Limpopo DoE/September 2021
DATA FOR PHYSICAL SCIENCES GRADE 12
PAPER 1 (PHYSICS)
TABLE 1: PHYSICAL CONSTANTS
NAME SYMBOL VALUE
Acceleration due to gravity g 9,8 m-s*
Universal gravitational constant G 6,67 x 10°'' N-m*-kg?
Speed of light in a vacuum c 3,0 x 10° m-s!
Planck's constant h 6,63 x 10° J-s
Coulomb's constant k 9,0 x 10°N-m?-C*
Charge on electron e -1,6x10'C
Electron mass me 9,11 x 10°! kg
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Physical Sciences/P1 17 Limpopo DoE/September 2021
NSC
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TABLE 2: FORMULAE
MOTION
Vy =Vitadt Ax = vAt+4adt? OR Ay =vAt+ tat?
Vy =v? +2aax OR Vv, =v +2aay | AxX= (eta OR Ay ~( eat
FORCE
Fret =Ma p=mv
an wemg
WORK, ENERGY AND POWER
W =FAxcos@ U=mgh OR E, =mgh
; ; W,.=AK OR W,, =AE,
K=—mv? OR E,=—mv?
2 2 AK=K,-K, OR AE, =Ey —E,
Wye =AK+AU OR W,, = AE, +AE, =
Pave = FVave
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Physical Sciences/P1
WAVES, SOUND AND LIGHT
18 Limpopo DoE/September 2021
NSC
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v=fa T=-
VtV,
4 - waver, E=hf OR E=h<
viv, a
E=W,+K,,, OR E=W,+E
‘k(max)
1
where
E=hf and W,=hf, and Kin = DIV as OR Eximax) = FMV 2
ELECTROSTATICS
kQ,Q kQ
ef vw
q q
n=2 oR n-2
e a.
ELECTRIC CIRCUITS
R=v emf (E) =I(R +r)
R, =R,+R> +...
1 91,1 q=IAt
= tH +
R, R, R,
W=Vq Ww
At
W=VIAt
P=VI
W=PRAt
P=rR
_ Vat v2
R “R
ALTERNATING CURRENT
I Paverage = Vie lems
Tine =
\ Parerage =LinsR
Ve = “8 Vie
V2 Paverage =
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fas LIMPOPO
7 PROVINCIAL GOVERNMENT
EX 43 REPUBLIC OF SOUTH AFRICA
DEPARTMENT OF EDUCATION
NATIONAL
SENIOR CERTIFICATE
NASIONALE SENIOR
SERTIFIKAAT
GRADE/GRAAD 12
MARKSI/PUNTE: 150
These marking guidelines consists of 16 pages./ Hierdie nasienriglyne bestaan
uit 16 bladsye.
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Physical Sciences/P1 NSC-Marking Guidelines LimpopoDoE/September 2021
2
BURFRTOLULUR FAG Stanmorephysics.com
1 Avy (2)
1.2 Dvv (2)
1.3 Byv (2)
1.4 BYv (2)
1.5 cyvy (2)
1.6 cyvv (2)
7 Dvv (2)
1.8 Avy (2)
1.9 Avy (2)
110 Cvv (2)
[20]
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3
ROATIONGEL AGA Stanmorephysics.com
2.1 The force that opposes the motion of an objectv_and which acts parallel to
the surface. ¥ (2)
Die krag wat die beweging van 'n voorwerp teenwerk v en wat parallel met die
opperviak inwerk. ~
2.2
Fy/N
Fi /f/Fr
w/F,
Accepted symbols
Fuv | N/Normal force/
N/normaalkrag
fv Ft /fx /frictional force/kinetic frictional force
F /fk Awrywingskrag/kinetiese wrywingskrag
wv | Fg/mg/ weight /Gravitational force/ Fearth on box
Fg /mg/gewig/gravitasie krag/Faarde op blok
NOTES/
Mark is awarded for label and arrow.
Do not penalise for length of arrows.
Deduct 1 mark for any additional force.
If all forces are correctly drawn and labelled, but
no arrows, deduct 1 mark.
e If force(s) do not make contact with the dot:
LET WEL
Punt word toegeken vir byskrif en pylpunt.
Moenie Straf vir die lengte van pyle nie.
Trek 1 punt af vir enige bykomende krag.
As alle kragte korrek getrek en gemerk word,
maar geen pyle nie, trek 1 punt af.
Indien krag(te) nie kontak met die kolletjie maak
nie: maksimum. 2/3 (3)
2.3 OPTION 1:/OPSIE 1 OPTION 2:/ Marking Criteria:/
a = gradient OPSIE 2 nasien riglyne
Av v Anyone |vw=vitadt ¥ . Av
= at Enige een | 6=2,5v+a(2)v | Gradient/7— v
_ 6-2,5 v a=1,75 m-s?@ Numerator as shown ¥
~ 2,0-0% Denominator as shown ¥ (3)
= 1,75 m-s2 Teller en noemer vgetoon
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Physical Sciences/P1 NSC- Marking Guidelines LimpopoDoE/September 2021
DobwnlWa epee MPP Steep SAN object, the object
accelerates in t Irection o Pet fet) force cum an acceleration which is
2.5.1
2.5.2
directly proportional to the (net ‘otee Y and inversely proportional to the
mass of the object. ¥
OR
The (non-zero) resultant/net force acting on an object is equal to the rate of
change of momentum of the object_in the direction of the resultant force.
Wanneer 'n (nie- nul) resultante / netto krag op 'n voorwerp inwerk, versnel
die voorwerp in die rigting van die (netto) krag teen ‘n versnelling wat direk
eweredig is aan die (netto) krag ven omgekeerd eweredig aan die massa van
die voorwerp. ~
OF
Die (nie-nul) resultante / netto krag wat op ‘n voorwerp inwerk, is gelyk aan
die tempo van verandering van momentum van die voorwerp in die rigting van
die resultante krag. (2)
Fret = ma ¥ Marking criteria: Nasienriglyne:
= (65) (1,75) V e Formula “/formuleY
: e Substitution Y/vervangingy
= 113,75 N, downhill ¢ Magnitude + direction V/grootte en
afwaartsY rigting ~”
(3)
POSITIVE MARKING FROM QUESTION 2.5.1
POSITIEWE NASIEN VANAF VRAAG 2.5.1
Fret = ma
wi + (-fx) = ma f ¥ Any one/enige een
mgsiné - fk =ma
+. (65) (9,8) (sin20°)¥ —fx = (65) (1,75) ¥
*. 217,8668 - fk = 113,75
+. 217,8668 — 113,75 = fx
+. 104,1168 N = fk ¥
-. The kinetic frictional force/die kinetiese wrywingskrag is
104,1168 N
(4)
[17]
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LimpopoDoE/September 2021
RO ATIONPOL AGH Stanmorephysics.com
3.1
3.2.1
3.2.2
Free fall W/vryvalv
Consider the window (bottom to top) / Beskou die
venster(onder tot bo)
Ay = viAt + a(t)?
». 2,0 = vi(0,15) + + (-9,8)(0,15)? V
+ Vi = 14,06833 m-s*
Now consider motion from ground to bottom of the window:
Oorweeg nou beweging vanaf die grond tot onderkant die
venster
vit = vi? + 2ady ¥
+ (14,06833)2 V = vi? + 2(-9,8)(10,0) ¥
+ vi? = 393,918
“ Vi= +19,85 m-s
:. The launch speed is/ Die lanseringsnelheid is 19,85 m-s? ¥
OPTION 1:/OPSIE 1
Consider motion from bottom of window
OPTION 2:/OPSIE 2
Consider motion from
up:
Oorweeg beweging van onder venster
boontoe:
Vi? = vi? + 2adAy ¥
+ (0)? = (14,06833)? + 2(-9,8)Ay ¥
. Ay = 10,0979 m v
«. The height/die hoogte is 10,0 +¥ 10,0979 =
20,0979 m
ground:
Oorweeg beweging van die
grond af:
Vi? = vi? + 2ady ¥ V
+. (0)? = (19,85)? + 2(-9,8)Ay
+. Ay = 20,1032 m
«. The height/die hoogte is
20,1032 m ¥
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(1)
(5)
(4)
Physical Sciences/P1
&
3
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NSC-Marking Guidelines LimpopoDoE/September 2021
6
Marking criteria:
= Nasienriglyne
2 e Shape Y/vorm v
sO » |¢ Launch velocity v/
2 TimeTyd(s) lanseer snelheid ~
g e Velocity at max. height/
$ v=0v/
es} snelheid by max hoogte/
So
os v=0~
>
(3)
34 98ms?v (1)
[14]
QUESTION 4/VRAAG 4
4.1 The total (linear) momentum of an isolated system remains constant(is
conserved) Vv ¥
Die totale (lineére) momentum van 'n geslote sisteem bly konstant (bly
behoue) “~~ (2)
4.2 For the block: —_—.
Vir die blok:
fk = 1,96 N
k Lpi = Zpr ¥
Fnet = ma
(0,002)Vvbi + 0 = (1)(0,59397)+(0,002)(50) ¥
1 -1,96Y = (1)av
= sliv
sa=-1,96 ms? Vbi = 346,985 m-s
V2 = vi2 + 2aAx ——
+. (0)? = vi2 + 2(-1,96)(0,09) Vv
- 0 = vi? —0,3528
«vi = 0,59 397 ms?
Pbiock = Mv
= (1)(0,59 397) ¥
\
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= 0,59 397 ems! —— “4
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Dowrihscttied "APSAY<S PAA RU epi ys RESscoReNtUM to the block /
Die koeél het 0,59 397 kg-m-s*+ van sy momentum na die blok oorgedra
-. Total initial momentum of the bullet,/
Totale aanvanklike momentum van die koeél,
Pbullet/koeé! = MVbullet/koeé! + Pblock/blok
= (0,002)(50) +v 0,59 397
= 0,69 397 kg-m-st
But/maar pbi = MbVbi
+. 0,69397 = (0,002)vbi ¥
_ 0,69397
~ (0,002)
o Vbi
= 346,985 m-stv
4.3 Pi
x
>+
Py Ap '
Marking criteria/Nasienriglyne
e Initial and final momenta correct v/
Aanvanklike en finale momentum korrek ~
e Change in momentum correctly drawn ¥/
Verandering in momentum korrek getrek ~”
QUESTION S5/VRAAG 5
5.1 The total mechanical energy (sum of the gravitational potential energy and kinetic
energy) in an isolated system remains constant (is conserved). Vv ¥
Die totale meganiese energie (som van die swaartekrag potensiéle energie en
kinetiese energie) in 'n geslote sisteem bly konstant (bly behoue). “~~
5.2 | (Ek + Ep)s = (Ek + Ep)a ;
1 1 +} v Any one/enige een
G mv? + mgh)s = (mv? + mgh)a
mv? + m(9,8)(0) v= 2m(0)2 + m(9,8)(5) ¥
3v+0=0+49
“. V = 9,8995 m-st Vv
:«. The speed of the block/ Die spoed van die blok is 9,8995 m-s+
Accept/aanvaar: 9,90 m-s*
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DowMBEENa!9PS/E1S tanmorephysics.com
Wret = AEk
Ww + Wik + Wen = AE v Any one/enige een
mgAxcosé + fkAx-cosB + 0 = smve - ; mvit
mgAxcosé@ + [k.mgcosa:Ax: cosB = sve - ; mvi?
(9,8)Axcos120°Y + (0,35)(9,8)cos30°:Axcos180°” = +(0)? - +(9,8995)2v
». (-4,9)Ax — (2,9705)Ax = -49
«. (-7,8705)Ax = -49
-. Ax = 6,2258 m
h_..
But/maar — = sin30° v
Ax
«. h = (sin30°)(6,2258) ¥
~h= 3,113 m
NOTE:/LET WEL;
Ww can also be calculated as follows/
W., kan ook soos volg bereken word:
Ww=wiAxcosé
= mgsina:Ax:cos@
= m(9,8)(sin30°)Ax:cosé
ORIOF:
Ww= -AEp
= mghi - mghr
= m(9,8)(0) — m(9,8)h
= -m(9,8)h
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DowPS8gu2!'G?S2S tanmorephysics.com
Whe = AEp + AEk
fAx-cosB = mghi — mghi + smvee - ; mvi2 v Any one/enige een
Llk.mgcosa-Ax: cosB = mghr — mghi + smve - > mv?
(0,35)m(9,8)( cos30°)Ax(cos180°)” = m(9,8)h — m(9,8)(0) Vv + 0 - + m(9,8995)2v
(-2,970467135)Ax-m = m(9,8)h - 49-m
(-2,970467135)Ax = (9,8)h — 49
h
-! v= -
(-2,970467135)(——) v = (9,8)h - 49
(-5,94093427)h = (9,8)h — 49
49 = (9,8)h + (5,94093427)h
49 = (15,74093427)h ¥
+h =3,113m
QUESTION 6/VRAAG 6
6.1
e Doppler effect v
e 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. v VW
Doppler effek ~”
Die skynbare 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. “~~
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Be
=
ynleatise) from Stanmorephysics.com
v
340+0
f= Cronas)
68 v
fi = (fs beeeeee (1)
-. 1351,57 Hz = fs ¥
-. The frequency of the source/die frekwensie van die bron is
(ignore 0 if omitted/ignoreer 0 indien uitgelaat)
v
340+25 , ee . an
fo = ( 34040 )fs (ignore 0 if omitted/ ignoreer 0 indien uitgelaat)
_ 73 v
p= Qe “....@)
(1) - (2)
73 68
“fa-f= (Sts - (ts
73 68
“37 =fs (S- =)
121
“37 =f (70)
1351,57 Hz (6)
6.3 || POSITIVE MARKING FROM Q6.2/POSITIEWE NASIEN VANAF V 6.2
v=fav
«. 340 = (1 351,57)A ¥
A= 0,2516 mv ]
3
-. The wavelength/die golflengte is 0,2516 m (3)
6.4 ANY ONE/ENIGE EEN:
e Measuring the rate of blood flow in humans and animals. ¥
e Measuring the heartbeat of a foetus in the womb. ¥
e Ultrasound (scanning) ¥
Meet die tempo van bloedvioei in mense en diere. ~
Meet die hartklop van 'n fetus in die baarmoeder. “
Ultraklank (skandering) ~ (1)
6.5 Red shift/rooi verskuiwing ¥ (1)
[14]
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ReAMIPOTHED 6m Stanmorephysics.com
7.1
7.2.1
7.2.2
7.3
7.4
The magnitude of the electrostatic force exerted by one point charge (Q1) on
another point charge (Q2) is directly proportional to the product _of the
magnitudes of the charges” and inversely proportional to the square of the
distance(r) between them. ¥
Die grootte van die elektrostatiese krag wat deur een puntlading (Q1) op ‘n
ander puntlading (Q2) uitgeoefen word, is direk eweredig aan die produk van
die _groottes van die ladings“ en omgekeerd eweredig aan die kwadraat van
die afstand(r) tussen hulle. ~
7 ah,
r2
9) 92
«2,88 x 1072 v= (9x10°)Q? |
‘ (0,5)?
n Q =8~x 10722
« Q = 2,828 x 10° CV
POSITIVE MARKING FROM QUESTION 7.2. /
POSITIEWE NASIEN VANAF V 7.2:
n=2 or/of n=2v
e qe
2,828x1076
1,6x10-19
«n= 1,7675 x 10% Velectrons/elektrone
The electrostatic force experienced per unit positive charge placed at that
point. vv
Die elektrostatiese krag per eenheidpositiewe-lading wat by daardie punt
geplaas is.v¥
West/wes ¥
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Downk
Ki
p= <2,
r2
Take ————~ as positive direction
Enet = Ey + (-Ex)
9 10? v 9 -6
eax tots (9x10°)Qy¢ _ (9x 10°)(2,828x107®) y
(0,8)? (1,3)?
4x 104 = (1,40625 x 10°)Qyr — 15060,35503
: = 6
* Qu = 3,9154 x 1o® C Marking criteria:
AQy = Qyt = Qyi KQ
AQy = 3,9154 x 106 _v (-2,828 x 10°) e 1mark for formula E = 7
AQy = 6,7434 x 10° C e¢ 1mark EACH for
Q Q substitutions in Ey and Ex
n=—orn=—Vv e 1mark for AQy
e de Q
e 1 mark for formula n = .
-6
n= — v e 1 mark for substitution in
,6X107
«nN =4,215 x 1018 Velectrons formula .
Range :4,206 X10"? to 4,215 x10 ¢ 1 mark for final answer
QUESTION 8/VRAAG 8
8.1
8.2
The maximum energy/work done supplied by a _ battery per unit
charge/coulomb of charge passing through it. vv
Die maksimum energie/arbeid wat 'n battery lewer per eenheidslading/
coulomb van lading wat daardeur vloei. “~~”
Rs _ Rit Ro V
Rp (B1Rz_)
Ry+ R2
_ X+xv
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13
NSC-Marking Guidelines
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Down
8.3.2
8.4
l6adéd*from Stanmorephysigs:-eem—
Marking Criteria
«12 = (1,2)(x + xr) YW
“12 = (1,2)(2x + 1)
© 10=2xX4+r (1)
E€=1,(R+n
.12= (3.96 +n v
xX
~4=-4r
2
6B=xXt2r (2)
From/vanaf (1):r=10-—2x ......... (3)
Sub. (8) into (2): vervang (3) in (2)
“xX + 2(10 — 2x) =8
“xX +20=4x-x
- 12 = 3x
~x=4,00V
1 mark for
substituting the
emf equation for
Circuit 1(series)
1 mark for
substituting the
emf equation in
Circuit 2(parallel)
Final Answer
Nasienkriteria
1 punt vir die
vervanging van
die emk
vergelyking vir
stroombaan 1
1 punt vir die
vervanging van
die emk
vergelyking in
stroombaan 2
Finale Antwoord
POSITIVE MARKING FROM 8.3.1:/ POSITIEWE NASIEN VANAF
V 8.3.1:
Sub./vervang x = 4,0 into/in (3):
r=10-2(4)v
=2QV
POSITIVE MARKING FROM QUESTION 8.3:
POSITIEWE NASIEN VANAF V 8.3:
P=P?RV
I?R
Ratio/verhouding = Px
_ (4,2)?x(4,0) ¥
~ (4,5)2x(4,0) %
= 0,64
= 0,64v
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Po wnleaded fro Mist anmorephys ics.com potential difference/ current
and the resistance across the other bulb remains the same. Vv
GEEN VERANDERING v Wanneer een van die gloeilampe uitbrand, bly die
potensiaalverskil / stroom en die weerstand oor die ander gloeilamp (3)
dieselfde. v~
[17]
QUESTION 9/VRAAG 9
9.1.1 The rms value of AC is the AC current which dissipates the same amount of
energy as DC. Vv
OR: The root mean square current is the value of the current in an AC circuit
that will have the same heating effect as a DC circuit. vv
Die wgk is die WS wat dieselfde hoeveelheid energie verbruik/oordra as ‘n
ekwivalente GS. vw"
OF: Die wgk stroom is die waarde van die stroom in 'n WS-stroombaan wat
dieselfde verwarmingseffek as 'n GS-stroombaan sal hé. (2)
9.12 [ty
f
=v
50
«T=0,02s
0,02
exe (3)
2
“x=0,01sv
9.1.3 | OPTION 1/ OPSIE 1: OPTION 2/OPSIE 2:
Pave = ImmsVims ¥ _ Irms
Iims = TE v
2 1800 = Inms(240) ¥ 2
. = 10,6
lms = 7,50 A ¥ o Irms = v
Irms = 7,4953 AY (3)
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Dbivn/GBAeN ¥ARS!EStanmorep, SIE 2:
v?rms
Pave = v
Pave = |?rmsR ¥
“ = eR Vv 240)?
1800 = (7,4953)?R +. 1800 = (240)* |
R= 32,040V R
+ 32,000 Vv
OPTION 3/ OPSIE 3: OPTION 4/ OPSIE 4:
R = Jims v R = vmax v
I-ms Imax
-2_, pe N2C240)
7,4953 “um 10,6
« R=32,020V « R=32,020V
(3)
9.2.1 With AC, transformers can be used to step up voltage/step down current. ¥ (1)
Met WS kan transformators gebruik word om spanning te verhoog/stroom te
verlaag
9.2.2 Heat/energy loss by transmission cables is minimised by high voltage
transmission. ¥ (1)
Hitte/energie_verlies deur _transmissie_kabels_ word verminder deur 'n hoé
spanning. ~
[13]
QUESTION 10/VRAAG 10
10.1 The minimum energy that an electron in the metal needs to be emitted from
the metal surface. VW
Die minimum energie wat 'n elektron in die metaal benodig, om uit die
metaalopperviak vrygestel te word. vv (2)
. 1
10.2 — =1,75 x 10°v
do
But c = fodg
+ = fi
ac Xo 0
«. (3 x 108)(1,75 x 10°) W= fo 3
« fo = 5,25 x 10!4 Hz ¥ (3)
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10.4
16
Wo = (6,63 x 10°%4)(5,25 x 1044) v
Wo = 3,48 075 x 1079 J v (3)
Wo = hfo
he i v Any one/enige een
Wo = x,
0
1
# 2,49625 x 10° v = (6,63 x 10°)(3 x 108). ~ v
0
1
“= = 12 50000 m+
Xo
= 1,25 x 10° m+
. The graph p is parallel the original graph, but cuts the x — axis at
1,25(x 10°m™). / Die grafiek p is parallel met die oorspronklike grafiek, maar
sny die x - as by 1,25(x 10°m7').(See graph below./ sien die grafiek hieronder)
Graph of maximum kinetic energy versus the reciprocal of 4./
Grafiek van maksimum kinetiese energie teenoor die omgekeerde van A.
vv
2 Ss
Eximax) (x 10°19 J)
BP N
Nop --
any A
0,5 1,0 1,5 2,0 2,5 3,0 3,5 4,0 £6 108 m)
Marking criteria:
Formula /formuleY
Left hand substitution /linkerhand vervangingY
Right hand substitution/ regterhand vervanging ¥
x — intercept at 1,25(x 10°m7?) /x - sny by 1,25(x 10®m=1) ¥
Graph P parallel original graph/ Grafiek P parallel aan
oorspronklike grafiek ~” (5)
[13]
GRAND TOTALIGROOT TOTAAL: [150]
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