# Physical Sciences Grade 11 P1 2013 Memo

> Grade 11 Physical Sciences Paper 1 memorandum from the National Exemplar November Exam 2013, 11 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/physical-sciences-p1-grade-11-exemplar-2013-eng-afr-memo/7a934d57-18be-4d91-8751-8e3dde759d45
- Updated: 2026-09-27
- Subject: Physical Sciences
- Grade: Grade 11
- Document type: Memorandum
- Year: 2013
- Exam period: National Exemplar November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 11

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## About this document

Physical Sciences · Grade 11 · National Exemplar November Exam · 2013. Memorandum, 11 pages. Read online or download the PDF.

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### Page 1

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                                      NATIONAL
                                 SENIOR CERTIFICATE
                                     NASIONALE
                                 SENIOR SERTIFIKAAT

                                        GRADE/GRAAD 11

                       PHYSICAL SCIENCES: PHYSICS (P1)
                       FISIESE WETENSKAPPE: FISIKA (V1)

                                 EXEMPLAR/MODEL 2013

                                        MEMORANDUM

MARKS/PUNTE: 150

                        This memorandum consists of 11 pages.
                      Hierdie memorandum bestaan uit 11 bladsye.

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Physical Sciences P1/Fisiese Wetenskappe V1          2                               DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

QUESTION 1/VRAAG 1

1.1       C                                                                                        (2)

1.2       A                                                                                        (2)

1.3       C                                                                                        (2)

1.4       A                                                                                        (2)

1.5       C                                                                                        (2)

1.6       B                                                                                        (2)

1.7       A                                                                                        (2)

1.8       D                                                                                        (2)

1.9       D                                                                                        (2)

1.10      B                                                                                        (2)
                                                                                                     [20]

QUESTION 2/VRAAG 2

2.1       A single force 
          having the same effect as all other forces acting together. 

          'n Enkele krag 
          wat dieselfde effek het as al die ander kragte tesame.                                    (2)

2.2
2.2.1     Magnitude of P/Grootte van P = 22 + 42
                                       = 4,47 (force units/krageenhede)                            (2)

2.2.2             −1
          tanθ =      ∴ θ = 18,43° 
                  −3
          Direction/Rigting: 270° - 18,43°  = 251,57° 

          OR/OF
                  −3
          tanθ =      ∴ θ = 71,57° 
                  −1
          Direction/Rigting: 71,57° + 180°  = 251,57°                                              (3)

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Physical Sciences P1/Fisiese Wetenskappe V1          3                                 DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

2.3       Rx = Px + Qx
             = 2 + (-3)
             = -1 (force units/krageenhede) 
          Ry = Py + Qy
             = 4 + (-1)
             = 3 (force units/krageenhede) 

          R=    R 2x + R 2y
            = (−1) 2 +32
            = 3,16 (force units/krageenhede)                                                         (3)

2.4               3
          tanθ =     ∴ θ = -71,57°
                  −1
          Direction/Rigting: 270° + 71,57° = 341,57° 

          OR/OF
                  −1
          tanθ =     ∴ θ = -18,43°
                  3
          Direction/Rigting: 360° - 18,43° = 341,57° 
                                                                                                      (2)
                                                                                                      [12]

QUESTION 3/VRAAG 3

3.1       The resultant of the forces is zero./Die resultant van die kragte is nul.                  (1)

3.2       Parallax error/Error in marking the position of the strings (because the
          observer's eye and the strings are not in a line perpendicular to the plane of
          the paper). 
          Parallaksfout/Fout in die merk van die posisie van die toutjies (omdat die
          waarnemer se oog en die toutjies nie in lyn loodreg tot die vlak van die papier
          is nie).                                                                                   (1)

3.3                           0,98 N 
       0,98 N 

                         w
                                                                                                      (3)

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Physical Sciences P1/Fisiese Wetenskappe V1          4                                    DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

3.4       CONSTRUCTION AND MEASUREMENT / KONSTRUKSIE EN METING

                                  Marking criteria for scale drawing:
                                  Kriteria vir nasien van skaaltekening:
                                  A vector of 98 mm at 45° with vertical.
             45°    (98 mm)                                                                        
                                  'n Vektor van 98 mm teen 45° met vertikaal.
                                  Another vector of 98 mm at 90° to first vector.
                                                                                                   
                                  'n Ander vektor van 98 mm teen 90° met eerste vektor.
(138,6 mm)                        A third vector drawn from head of one vector to tail of the
                        90°       other./Derde vektor geteken van kop van een vektor na            
                                  stert van ander.
                                  Length of vertical vector in range of 137–139 mm.
                                                                                                   
                    (98 mm)       Lengte van vertikale vektor in gebied 137–139 mm.
             45°                  All vectors represented as arrows.
                                                                                                   
                                  Alle vektore as pyltjies voorgestel.
                                  The unknown weight given in range 1,37–1,39 N.
                                                                                                   
                                  Die onbekende gewig gegee in gebied 1,37–1,39 N.
          Mass/Massa = 141 g 
          (Accept answers in range/Aanvaar antwoorde in gebied: 139 g–142 g)

          OR / OF
          CALCULATION / BEREKENING

          ∑F y = 0
          (0,98) sin45° + (0,98) sin45° = m(9,8) 
          m = 141,42 g                                                                                     (7)
                                                                                                           [12]

QUESTION 4/VRAAG 4

4.1       When a resultant force acts on an object, the object accelerates in the
          direction of the force. This acceleration is directly proportional to the force 
          and inversely proportional to the mass of the object. 
          Indien 'n resulterende krag op 'n voorwerp inwerk, sal die voorwerp in die
          rigting van die krag versnel. Hierdie versnelling is direk eweredig aan die
          resulterende krag  en
          omgekeerd eweredig aan die massa van die voorwerp.                                             (2)

4.2
4.2.1     fk = µkN 
             = (0,13)(1)(9,8) 
             = 1,27 N                                                                                    (3)

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Physical Sciences P1/Fisiese Wetenskappe V1          5                                   DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

4.2.2     For the 2 kg mass (to the right/downwards as positive):
          Vir die 2 kg-massa (na regs/afwaarts as positief):
          F net = ma 
          w + F T = ma
          (2)(9,8) + F T = 2a 
          F T = 2a – 19,6

          For the 1 kg mass (to the right as positive):
          Vir die 1 kg-massa (na regs as positief):
          F net = ma
          F T + f = ma
          -(2a – 19,6) + (- 1,27) = 1a              F T (1 kg) = -F T (2 kg)
          ∴ a = 6,11 m·s-2                                                                              (5)

4.3       Zero acceleration 
          F net on the 1 kg mass is zero. 
          According to Newton's second law of motion, its acceleration will be zero. 
          According to Newton's first law of motion, it will continue to move at constant
          velocity (until it reaches the edge of the surface). 

          Nul versnelling 
          F net op die 1 kg-massa is nul. 
          Volgens Newton se tweede bewegingswet, is sy versnelling nul. 
          Volgens Newton se eerste bewegingswet, sal dit teen konstante snelheid                         (4)
          beweeg (tot aan die einde van die oppervlak).                                                 [14]

QUESTION 5/VRAAG 5

5.1       N = w ⊥ = mgcosθ 
                  = (60)(9,8)cos15°
                  = 567,96 N                                                                            (2)

5.2
             N
                       fk 
              

               w
           Accepted Labels/Aanvaarde byskrifte
               F g/ F w /force of Earth on skier/weight/588 N/mg/gravitational force
           w
               F g/ F w /krag van Aarde op skiër/gewig/588 N/mg/gravitasiekrag
               F N /normal/567,96 N
           N
               F N /normaal/567,96 N
               Frictional force / F f
           fk
               Wrywingskrag / F f
                                                                                                         (3)

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Physical Sciences P1/Fisiese Wetenskappe V1          6                               DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

5.3       v f = v i + 2a∆x 
            2     2

          152 = 02 + 2a(75) 
          ∴a = 1,5 m·s-2

          F net = ma 
          w // + f = ma
          mgsinθ + f = ma
          (60)(9,8)sin15° + f k = (60)(1,5) 
          ∴ f = -62,19 N
          ∴ f = 62,19 N  up the incline/opwaarts teen skuinsvlak                                   (7)
                                                                                                     [12]

QUESTION 6/VRAAG 6

6.1       Any two objects in the universe attract each other 
          with a force directly proportional to the product of their masses and 
          inversely proportional to the square of the distance between their centres. 
          Enige twee voorwerpe in die heelal trek mekaar aan 
          met 'n krag wat direk eweredig is aan die produk van hul massas en 
          omgekeerd eweredig aan die kwadraat van die afstand tussen hul
          middelpunte.                                                                               (3)

6.2            Gm1m2
          F=           
                 r2
                     (6,67 × 10 −11 )(5,98 × 1024 )(615 )
          5 000 =                                        
                                       r2
          ∴ r = 7,0 x 106 m
          Height /Hoogte = 7,0 x 106 - 6,38 x 106  = 6,2432 x 105 m = 624,32 km                     (5)

6.3          Gm1m2
          F=
                r2
          ∴ F = Gm12m2 = 1 Gm1m2 = 1 (5 000) = 2 500 N 
                   (2r )2 2 r2     2                                                                   (2)
                                                                                                      [10]

QUESTION 7/VRAAG 7

7.1       The ratio of sin i to sin r is constant. 
          Die verhouding van sin i tot sin r is konstant.                                             (2)

7.2       1,4,2,3,6,5  (2 or/of 0)                                                                  (2)

7.3       To ensure that the position of the glass block remains the same/glass block
          does not shift. 
          Om te verseker dat die posisie van die glasblok dieselfde bly/die glasblok
          nie skuif nie.                                                                              (1)

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Physical Sciences P1/Fisiese Wetenskappe V1          7                               DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

7.4                              Δ sin i
7.4.1     Gradient/Gradiënt =            
                                 Δ sin r
                               0,6 - 0 
                             =
                               0,4 - 0 
                             = 1,5 
          Note/Let Wel
          Accept values from/aanvaar waardes vanaf 1,44 to/tot 1,5.                                   (4)
7.4.2     The refractive index of glass
          Die brekingsindeks van glas.                                                                 (1)
                                                                                                      [10]

QUESTION 8/VRAAG 8

8.1       n 1 sinθ 1 = n 2 sin θ 2 
          (1,44)sin30° = (1)sin θ 2 
          θ a = 46,05°                                                                              (4)

8.2       The glass block is optically more dense than air. 
          When light passes from an optically dense into an optically less dense
          medium, it bends away from the normal. 
          Die glasblok is opties digter as lug.
          Wanneer lig van 'n optiese digter medium na 'n opties minder digte medium
          beweeg, buig dit weg van die normaal af.                                                   (2)

8.3       Increases/Neem toe                                                                        (1)

8.4       The angle of incidence in the optically denser medium for which the angle of
          refraction in the optically less medium is 90°. 
          Die invalshoek in die opties digter medium waarvoor die brekingshoek in die
          opties minder digte medium 90° is.

          OR/OF
          The angle of incidence in the optically denser medium beyond which the
          light/wave will be totally internally reflected. 
          Die invalshoek in die opties digter medium waarbo die lig/golf totale interne
          weerkaatsing ondervind.                                                                    (2)

8.5       Total internal reflection/Totale interne weerkaatsing                                     (1)

8.6       Optical fibres for communication/in endoscopes. 
          Optiese vesels vir kommunikasie/in endoskope. 

          OR/OF
          Binoculars/Verkykers

          OR/OF
          Periscopes/Periskope                                                                       (1)
                                                                                                     [11]

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Physical Sciences P1/Fisiese Wetenskappe V1          8                               DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

QUESTION 9/VRAAG 9

9.1       The bending/spreading of waves as they pass through a narrow opening or
          around corners/obstacles.
          Die buiging/spreiding van golwe wanneer hulle 'n smal opening of om
          hoeke/versperrings beweeg.                                                                 (2)

9.2
9.2.1     Greater than/Groter as                                                                    (1)

9.2.2     Dimmer than/Dowwer as                                                                     (1)

9.2.3     Greater than/Groter as                                                                    (1)

9.2.4     Every point on a wave front acts as a source of new wavelets that move
          forward with the same speed as the wave. 
          Elke punt op 'n golffront wat dien as 'n bron van nuwe golwe wat voortbeweeg
          teen dieselfde spoed as die golf.                                                          (2)
                                                                                                     [7]

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Physical Sciences P1/Fisiese Wetenskappe V1          9                                       DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

QUESTION 10/VRAAG 10

10.1      The force per unit charge./Die krag per eenheid lading.                                          (2)

10.2
                                              Marking criteria for electric field lines
                                              Kriteria vir nasien van elektriese veldlyne
                                              Shape of field lines./Vorm van veldlyne.           
                          -2 μC               Direction of field lines (towards charge).
                                                                                                 
                                              Rigting van veldlyne (na lading toe).

                                                                                                             (2)

10.3      Eresultant        E5μC

                           •P
         E-2μC

                   kQ       (9 × 109 )(2 × 10 −6 )
          E 2μC =        =                        
                    r2             (0,1)2
                 = 1,8 x 106 N∙C-1 towards the 2 μC charge (as shown)
                                     na 2 μC lading (soos aangedui)

                   kQ    (9 × 109 )(5 × 10 −6 )
          E 5μC =      =                        
                   r2          (0,15)2
                 = 2 x 106 N∙C-1 away from the 5 μC charge (as shown)
                                   weg vanaf 5 μC lading (soos aangedui)

          E resultant =    (1,8 × 106 )2 + (2 × 106 )2 = 2,69 x 106 N∙C-1                                  (7)
                                                                                                             [11]

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Physical Sciences P1/Fisiese Wetenskappe V1          10                                  DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

QUESTION 11/VRAAG 11

11.1      The (magnitude of the) emf induced in a conductor is equal to the rate of
          change of magnetic flux linkage (through it). 
          Die (grootte van die emk) geïnduseer in 'n geleier is gelyk aan die tempo van
          verandering van magnetiese vloedkoppeling (daar deur).                                      (2)

11.2
11.2.1                   ∆φ
          emf/emk = -N      
                         ∆t
                                 ∆φ
            -15,2 = -(200)              
                             3,2 × 10 −2
          ∴ ∆φ = 2,43 x 10-3 Wb  or/of (2,43 x 10-3 V·s)                                               (4)

11.2.2    ∆φ = (B f – B i )Acosθ 
          2,432 x 10-2 = (0,42 – 0,22)Acos0° 
          ∴ A = 0,012 m2

          Area of circle/Oppervlak van sirkel = πr2
                                      0,012 = πr2
                                         ∴r = 6,22 x 10-2 m                                             (4)

11.3      15,2 V                                                                                         (1)
                                                                                                         [11]

QUESTION 12/VRAAG 12

12.1      Resistance = gradient of graph
12.1.1    Weerstand = helling van grafiek
                           4 − 0
                     =
                       25 × 10 − 3 − 0 
                     = 160 Ω                                                                            (3)

12.1.2    Graph at T 1 /Grafiek by T 1 
          Steeper/larger gradient/Steiler helling 
          ∴ R is greater/R is groter 
          ∴ Temperature is higher/Temperatuur is hoër                                                    (3)

12.1.3    V is directly proportional to I at each of the temperatures T 1 and T 2 . 
          V is direk eweredig aan I by elk van die temperature T 1 en T 2                                (1)

12.1.4    P = VI 
            = (2,5)(25 x 10-3) 
            = 0,06(2) W                                                                                 (3)

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Physical Sciences P1/Fisiese Wetenskappe V1          11                        DBE/2013
                    NSC/NSS – Grade 11 Exemplar/Graad 11 Model – Memorandum

12.2
12.2.1    Both switches open:/Beide skakelaars oop:
          R = 6 Ω + 1Ω + 2Ω = 9 Ω 
               V
          R=      
                I
               4,5
          9=       
                I
          ∴ I = 0,5 A                                                                    (4)

12.2.2    Both switches closed:/Beide skakelaars gesluit:
          V 6Ω = IR = (0,5)(6) = 3 V 
          V 2Ω = 4,5 – 3 = 1,5 V 
                 V    1,5
          I 2Ω =    =     = 0,75 A 
                 R     2
          I R = 0,75 – 0,5 = 0,25 A 
                V      3
          R=       =       = 12 Ω 
                 I   0,25                                                                  (6)
                                                                                          [20]

                                                                       TOTAL/TOTAAL:      150

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