Physical Sciences Grade 12 P1 Eastern Cape June 2022 QP

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 JUNE 2022 PHYSICAL SCIENCES P1 MARKS: 150 TIME: 3 hours This question paper consists of 17 pages including a 2-page data sheet.

Downloaded from hlayiso.com 2 PHYSICAL SCIENCES P1 (EC/JUNE 2022) INSTRUCTIONS AND INFORMATION 1. Write your full NAME and SURNAME in the appropriate space on the ANSWER BOOK. 2. This question paper consists of TEN questions. Answer ALL the questions in the ANSWER BOOK. 3. You may use a non-programmable calculator. 4. You may use appropriate mathematical instruments. 5. Number the answers correctly according to the numbering system used in this question paper. 6. You are advised to use the attached DATA SHEETS. 7. The formulae and substitutions must be shown in ALL calculations. 8. Give brief motivations, discussions, et cetera where required. 9. Round off your final numerical answers to a minimum of TWO decimal places. 10. Start EACH question on a NEW page. 11. All diagrams are not necessarily drawn according to scale. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 3 QUESTION 1: MULTIPLE-CHOICE QUESTIONS Various options are provided as possible answers to the following questions. Each question has only ONE correct answer. Write ONLY the letter (A–D) next to the question numbers (1.1–1.10) in the ANSWER BOOK, for example 1.11 B. 1.1 A wooden crate rests on an inclined plane as shown in the diagram below. Which ONE of the following formulae is the CORRECT expression regarding the forces acting on the block? A Ff = Fapplied B FN = F// C FN = F⊥ D F⊥= F// (2) 1.2 A glass block moves from point A to point B on a frictionless inclined surface as shown in the diagram below. Which ONE of the following statements is TRUE for the TOTAL Mechanical Energy (Emech) and Kinetic Energy (Ek) as the block moves from point A to point B? A B TOTAL MECHANICAL ENERGY Kinetic Energy Ek Emech A Emech(A) = Emech(B) Ek(A) = Ek(B) B Emech(A) < Emech(B) Ek(A) < Ek(B) C Emech(A) = Emech(B) Ek(A) < Ek(B) D Emech(A) > Emech(B) Ek(A) > Ek(B) (2) 1.3 A physical quantity that is described as a measure of the resistance of a body to a change in its state of motion is the ... A acceleration. B inertia. C Newton’s Second Law of Motion. D Newton’s Third Law of Motion. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 PHYSICAL SCIENCES P1 (EC/JUNE 2022) 1.4 An object is thrown vertically upwards. Which ONE of the following statements is TRUE concerning the acceleration and velocity of the object when it reaches its maximum height? Acceleration Velocity A 9,8 m.s-2 downwards 9,8 m.s-1 downwards B 0 m.s-2 9,8 m.s-1 downwards C 0 m.s-2 0 m.s-1 D 9,8 m.s-2 downwards 0 m.s-1 (2) 1.5 A ball rolls from point A to D as shown in the diagram below. The sections AB and CD are frictionless, while BC is rough. Which ONE of the following statements is TRUE? A D B C A The total mechanical energy changes when the ball rolls from B to C. B The ball has the same kinetic energy at A and C. C The total mechanical energy of the ball decreases from C to D. D Kinetic energy is conserved during the complete motion from A to D. (2) 1.6 Two objects of masses P and Q respectively, are placed such that their centres are a distance R apart. The force they exert on each other is F. P Q R When the mass of P is halved (½ P) and the distance between their centres is doubled to 2R. The new force they exert on each other will be … A ½ F. B ¼ F. C ⅛ F. D 4 F. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 5 1.7 Ball A is dropped from the top of a building. Ball B is thrown upwards from the ground 1 s later. They move past each other at point X. Ignore the effects of air resistance. A X B Which ONE of the following statements is TRUE when the two balls meet at point X? A the distance travelled by each ball will be equal. B the sum of the distance travelled by A and B will be equal to the height of the building. C ball B will not reach the top of the building. D the time ball A takes to reach point X is less than the time for ball B to reach point X. (2) 1.8 Which ONE of the following physical quantities below can be measured in the base unit kg.m2.s-2? A Kinetic energy B Acceleration C Velocity D Momentum (2) 1.9 A fire engine moves towards a building that is on fire. The siren of the fire engine has a frequency f. The frequency that the firemen in the fire engine will hear as they travel towards the burning building will be ... A 3 f. B 2 f. C f. D ½ f. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 PHYSICAL SCIENCES P1 (EC/JUNE 2022) 1.10 Two identical conducting spheres P with a charge of +3,2 x 10-19 C and Q, with a charge of -6,4 x 10-19 C, are brought into contact. During contact, sphere P will ... A. gain 2 electrons. B. gain 3 electrons. C. lose 3 electrons. D. lose 3 protons. (2) [20] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 7 QUESTION 2 A rope is used to apply a force of 240 N to a 50 kg crate to pull it down a rough inclined surface at a CONSTANT VELOCITY. The incline surface makes an angle of 12° with the horizontal as shown in the diagram below. 12° 2.1 State Newton’s Second Law of Motion in words. (2) 2.2 Draw a labelled free-body diagram of all the forces acting on the crate. (4) 2.3 Define the term kinetic frictional force. (2) 2.4 Calculate the: 2.4.1 Magnitude of the kinetic frictional force between the crate and the surface of the inclined surface (4) 2.4.2 Value of the coefficient of kinetic frictional force (μk) between the crate and the surface of the inclined surface (4) [16] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 PHYSICAL SCIENCES P1 (EC/JUNE 2022) QUESTION 3 A metal box is connected to a steel ball of mass 5 kg by means of a light, inextensible string that passes over a frictionless pulley as shown in the diagram below. A force F is applied at an angle of 30° to the horizontal to the metal box. The force F is gradually increased and just before F becomes equal to 65 N, the system just starts to move. The normal force that the table exerts on the metal box is 36,1 N. F 30° Steel ball = 5 kg 3.1 Give the name of the frictional force explained by the term just before the metal box starts moving. (1) 3.2 Draw a free body diagram of ALL the forces acting on the metal box. (5) 3.3 Calculate the: 3.3.1 Magnitude of the force mentioned in QUESTION 3.1 (5) 3.3.2 Mass of the metal box (4) [15] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 9 QUESTION 4 Two small, spherical planets P and Q of mass 1,2 x 1018 kg and 3 x 1018 kg respectively move in space with their centres 2 x 1010 m apart, as shown in the diagram below. Assume no other forces act on the planets. P Q 2 x 1010 m 4.1 State Newton’s Universal Law of Gravitation in words. (2) 4.2 Calculate the gravitational force between the two planets. (5) 4.3 The radii of the planets are equal. How will the acceleration due to gravity on the surface of planet P (gP) compare with the acceleration due to gravity on the surface of planet Q (gQ)? Write only GREATER THAN, LESS THAN or SIMILAR. Briefly explain your answer. (2) [9] Copyright reserved Please turn over

Downloaded from hlayiso.com 10 PHYSICAL SCIENCES P1 (EC/JUNE 2022) QUESTION 5 A cricket ball is projected upwards from the bottom of a building at point A at a velocity of 20 m.s-1. It reaches a maximum height above the building and returns to point B as shown in diagram below. A man standing on a balcony of the building at point B catches the ball 1,66 s after it had reached its maximum height. Ignore the effect of air resistance. B 20 m.s-1 A 5.1 Define the term free fall. (2) 5.2 Calculate the: 5.2.1 Time it took the cricket ball to reach its maximum height (4) 5.2.2 Height of the balcony above the ground (5) 5.2.3 Speed with which the ball strikes the man’s hand when he catches it (3) 5.3 Draw a sketch velocity-time graph for the motion of the cricket ball from the moment that it was projected until the man catches the ball at point B. Indicate the following clearly on your graph: • Initial velocity of the ball. • Time when the ball is at the maximum height. • Time when the man catches the ball. • Velocity of the ball just before the man catches it. (5) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 11 QUESTION 6 A truck of mass 3 200 kg travelling at a velocity of 18 m.s-1 to the east, collides with a car of mass 1 800 kg travelling at a velocity of 12 m.s-1 in the same direction, as shown in the diagram below. After the collision, the truck continues to move in the same direction at velocity of 10 m.s-1. 18 m.s-1 12 m.s-1 TRUCK CAR 6.1 Define the term momentum in words. (2) 6.2 Calculate the: 6.2.1 Momentum of the truck before the collision (3) 6.2.2 Velocity of the car after the collision (5) 6.3 Is the collision between the truck and the car elastic or inelastic? Explain your answer. (3) 6.4 Name TWO safety features that can be found in vehicles so that serious injuries can be minimised when collisions like this take place. (2) [15] Copyright reserved Please turn over

Downloaded from hlayiso.com 12 PHYSICAL SCIENCES P1 (EC/JUNE 2022) QUESTION 7 During a gymnastic routine at the Olympic Games, a gymnast jumps in the air and lands vertically as shown in the diagram below. The mass of the gymnast is 45 kg. From her maximum height it takes 0,35 s before she lands on a mat. She bends her knees while landing. After landing on the mat it took her 0,69 s to come to a complete stop. 7.1 Calculate the velocity with which the gymnast lands on the mat. (4) 7.2 Define the term impulse in words. (2) 7.3 Calculate the force of the mat on the gymnast after she has landed on it. (5) 7.4 Using your answer in QUESTION 7.3, explain why it is necessary for the gymnast to bend her knees on landing to avoid serious injury. (3) [14] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 13 QUESTION 8 A mining trolley of mass 540 kg moving to the right, approaches point A with a velocity of 12 m.s-1 and comes to rest at point C. AB is rough while BC is frictionless. The coefficient of kinetic friction between the trolley and the rough surface AB is 0,8. BC is 4,5 m long and makes an angle of 7,5° with the horizontal as shown in the diagram below. C 12 m.s-1 7,5° A B 8.1 State the Principle of CONSERVATION OF MECHANICAL ENERGY in words. (2) 8.2 Use the PRINCIPLE OF CONSERVATION OF MECHANICAL ENERGY to calculate the velocity of the trolley at point B. (4) 8.3 Calculate the kinetic frictional force between the trolley and the rough surface AB in the diagram above. (3) 8.4 State the work-energy theorem in words. (2) 8.5 Use energy principles ONLY to calculate the … 8.5.1 work done by friction as the trolley moves from point A to point B. (4) 8.5.2 distance from point A to point B. (4) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com 14 PHYSICAL SCIENCES P1 (EC/JUNE 2022) QUESTION 9 A racing car races towards a video camera as shown in the diagram below. The frequency that the engine of the racing car produces is 680 Hz. The video camera records the sound at a frequency of 875 Hz. Take the speed of sound to be 340 m.s-1. 9.1 State the phenomenon that causes this apparent change in frequency. (2) 9.2 Calculate the velocity of the racing car as it approaches the video camera. Give your answer in km.h-1. (6) 9.4 The racing car passes the video camera and travels further away. How does the frequency change as it travels away? Write only INCREASES, DECREASES or STAYS THE SAME. Briefly explain your answer. (3) 9.5 State TWO uses of the phenomenon stated in QUESTION 9.1 in the medical field. (2) [13] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 15 QUESTION 10 Two identical opposite point charges A and B each carry a charge of magnitude 4 x 10-6 C and are placed 75 cm from each other in a vacuum as shown in the diagram below. 75 cm A B 10.1 Draw the electric field pattern between charges A and B. (3) 10.2 Calculate the: 10.2.1 Force on charge A due to charge B (4) 10.2.2 Number of excess electrons on charge B (3) [10] TOTAL: 150 Copyright reserved Please turn over

Downloaded from hlayiso.com 16 PHYSICAL SCIENCES P1 (EC/JUNE 2022) 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 SYMBOL/ NAME/NAAM VALUE/WAARDE SIMBOOL Acceleration due to gravity / g 9,8 m•s-2 Swaartekragversnelling Universal gravitational constant / G 6,67 × 10-11 N•m2.kg-2 Universelegravitasiekonstant Speed of light in a vacuum / c 3,0 × 108 m•s-1 Spoed van lig in ʼn vacuum Planck's constant / Planck se konstante h 6,63 × 10-34 J•s Coulomb's constant / Coulomb se konstante k 9,0 × 109 N•m2•C-2 Charge on electron / Lading op elektron e -1,6 × 10-19 C Electron mass / Elektronmassa me 9,11 × 10-31 kg Mass of earth / Massa op aarde M 5,98 × 1024 kg Radius of earth / Radius van aarde RE 6,38 × 103 km TABLE 2: FORMULAE/TABEL 2: FORMULES MOTION/BEWEGING v f = vi + a t Δx = v i Δt + 21 at 2 or/of Δy = v i Δt + 21 at 2  v + vf   v + vf  v f = v i + 2ax or/of v f = v i + 2ay 2 2 2 2 Δx =  i  Δt or/of Δy =  i  Δt  2   2  FORCE/KRAG Fnet = ma p = mv fsmax = µsN fk = µkN Fnet t = p w = mg p = mv f − mv i Gm 1 m2 M F = 2 g = G d2 d Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2022) PHYSICAL SCIENCES P1 17 WORK, ENERGY AND POWER/ARBEID, ENERGIE EN DRYWING W = Fx cosθ 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/of Wnc = Ek + Ep P= t Pav = Fv ELECTROSTATICS/ELEKTROSTATIKA kQ 1Q 2 kQ F= E= r2 r2 V F E= E= d q W Q V= n= q qe ELECTRIC CIRCUITS/ELEKTRIESE STROOMBANE emf ( ε ) = I(R + r) V R= I emk ( ε ) = I(R + r) 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 = I2R W= V Δt 2 V2 P= R R ALTERNATING CURRENT/WISSELSTROOM Pav erage = Vrms I rms / Pgemiddeld = Vwgk I wgk I max I rms = / I I wgk = maks 2 2 Pav erage = I rms 2 R / Pgemiddeld = I 2wgk R Vmax Vmaks Vrms = / Vwgk = V2 2 Vwgk 2 2 Pav erage = rms / Pgemiddeld = R R Copyright reserved Please turn over