Physical Sciences Grade 12 P1 Free State June 2025 QP

education Department of Education FREE STATE PROVINCE JUNE EXAMINATION GRADE 12 PHYSICAL SCIENCES (PAPER 1: PHYSICS) JUNE 2025 MARKS: 150 TIME: 3 HOURS This paper consists of 14 pages and three information sheets. Copyright reserved Please turn over

10. 11. 12. FS/June 2025 2 INSTRUCTIONS AND INFORMATION Write your name and other information in the appropriate spaces on the ANSWER BOOK. This question paper consists of 8 questions. Answer ALL questions in the ANSWER BOOK. Start EACH question on a NEW page in the ANSWER BOOK. Number the answers correctly according to the numbering system used in this question paper. Leave one line between two sub-questions, for example between QUESTION 2.1 and QUESTION 2.2. You may use a non-programmabie pocket calculator. You may use appropriate mathematical instruments. You are advised to use the attached DATA SHEETS. Show ALL formulae and substitutions in ALL calculations. Round off your FINAL numerical answers to a minimum of TWO decimal places where applicable. Give brief motivations, discussions, et cetera where required. Write neatly and legibly. Copyright reserved Please turn over

FS/June 2025 QUESTION 1 Four options are provided as possible answers to the following questions. Each question has only ONE correct answer. Choose the answer and write down only the letter A, B, C or D next to the question number (1.1—1.10) in your ANSWER BOOK. 1.1 1.2 The force acting parallel to a surface and opposing the tendency of motion of a stationary object relative to the surface is ... A inertia. B frictional force. Cc static frictional force. D kinetic frictional force. (2) The diagram below shows two blocks, A and B, suspended from the ceiling. The blocks are stationary and have the same mass. The length of the string connected to block A is twice the length of the string connected to block B. The connecting strings are inextensible and have negligible mass. The tension in the strings attached to blocks A and B are Ta, and Tg respectively. Te Ta a | Which one of the following statements about how the tensions compare to each other is correct? A Ta=Ts B Ta<Te Cc Ta> Ts D 2Ta= Ts (2) Copyright reserved Please turn over

FS/June 2025 4 1.3 The ball is projected vertically upwards. Ignore the effect of air resistance. 1.4 Which one of the following statements about the acceleration of the ball at its MAXIMUM HEIGHT is correct? The acceleration is equal to... A B Cc D A Oms?. 9,8 m:s* and is directed upwards. 9,8 m-s* and is directed downwards. 9,8 m-s? in the direction of motion. (2) ball is projected vertically upwards from the ground. It returns to the ground, makes an INELASTIC COLLISION with the ground over a short time interval and then bounces to a maximum height. Ignore air resistance. Which one of the following graphs correctly describes the velocity of the ball? A B = ‘e % iS £ > = t(s) 8 t(s) {e) oO ra) > > D E £ > P= 8 1 E t(s) $ > (2) Copyright reserved Please turn over

FS/June 2025 5 1.5 Object A is involved in an INELASTIC collision with object B which is travelling in the opposite direction. Ignore the effect of external forces. Which one of the following statements regarding the collision is correct? A Only momentum is conserved. B Only the kinetic energy is conserved. Cc neither momentum nor kinetic energy are conserved. D both the kinetic energy and momentum are conserved. (2) 1.6 Acar of mass m is travelling at a constant velocity and has momentum p. The driver notices an object ahead of him and applies the brakes so that the momentum of the car changes to ~ p. Which ONE of the diagrams below correctly shows the relationship between Pi, Prand Ap? A pi B pi SEE —______ + —j > > Pr Ap Pr Ap c D Pi i Pr Pr pi >< ——______. << ___—___ Ap Ap (2) 1.7 The work done by the net force required to stop a moving object is equal to the ... of the object. A increase in impulse B change in kinetic energy Cc increase in displacement D change in potential energy (2) Copyright reserved Please turn over

FS/June 2025 6 1.8 | The graph below shows the relationship between electric field, E, at a point and the square of the distance, r? from a point charge Q. E 1 eo] The gradient of the graph is equal ... A F B Q Cc k D kQ (2) 1.9 Which one of the graphs below correctly represents the relationship between the magnitude of the electrostatic force and the square of the distance between the two charges? A B F F m r Cc D F F ed 2 2 (2) Copyright reserved Please turn over

FS/June 2025 7 1.10 Jn the circuit diagram below, the resistance of R: is one third (2) the resistance of resistor Ra The two resistors are connected in series and identical high-resistance voltmeters are connected across each resistor. The readings of voltmeter Vin term of V2 is respectively by ... I II Ri R: 2| A V1 = V2 B Vi == V2 é V1 = 3V2 D Wi=2Ve (2) [20] Copyright reserved Please turn over

FS/June 2025 QUESTION 2 2.1 2.2 Two blocks, A and B having the same dimensions and masses m and 4m are connected by a light inextensible string, are pulled up the inclined plane with a force of magnitude of 56,83 N. The incline is making an angle of 30° with the horizontal. The mass of the string may be ignored. The system accelerates up the inclined plane at constant acceleration of 2 m-s?. F = 56,83N The coefficients of kinetic friction for m and 4 m are 0,1 and 0,4 respectively 2.1.1. Define the term kinetic friction. (2) 2.1.2 Explain why the coefficient of friction for the two blocks, A and B are different. (1) 2.1.3 Drawa labelled free-body diagram showing all the forces acting on block A. (5) 2.1.4. Calculate the mass of block B. (7) A rock of mass 100 kg lies on the surface of a planet Y. The acceleration due to gravity on the surface of the planet is 12 m-s?. 2.2.1 State the Newton’s Law of Universal Gravitation in words (2) 2.2.2 Calculate the mass of the planet Y if its radius is 700 km. (4) [21] Copyright reserved Please turn over

FS/June 2025 QUESTION 3 The crate of mass 300 kg is lifted vertically upwards from the ground at a constant velocity. When the crate is 30 m above the surface, cable lifting the crate breaks. The velocity-time graph below not drawn to scale represents the motion of the crate from the moment the cable breaks until it hits the ground after time t. TAKE DOWNWARD MOTION as POSITIVE and the effects of air resistance can be ignored. 3.1 3.2 a Time (s) Velocity (m-s") v What is the magnitude of the acceleration of the crate before the cable breaks? (1) Define the term projectile. (2) Use the graph to determine the: 3.3 3.4 3.5 3.6 27. 3.8 3.9 Time it takes for the crate to reach maximum height after the cable has broken (1) Magnitude of velocity v (3) The maximum height crate reached by the crate after the cable has broken. (4) Time it takes the crate to hit the ground. (3) Speed of the crate at time t. (3) Speed when the crate is 12 m above the ground on it way down? (3) Draw a labelled position-time graph that represents the motion of the crate from the moment the cable breaks until it hits the ground. Use ground as the ZERO position. Indicate the following on the graph: . the maximum height above the ground . the height at which the cable snaps . time 0,2 seconds (4) [24] Copyright reserved Please turn over

FS/June 2025 10 QUESTION 4 4.1. The graph of the momentum versus time for a car originally travelling horizontally eastward is shown below. Ignore the effects of friction. Graph of the momentum for a car versus time 10350 8400 Momentum (kg-m-s") oO - 12495 4.1.1 State Newton’s second law of motion in terms of momentum. (2) The net force acting on the car is zero between time interval 10 seconds and 20 seconds. 4.1.2 Is the above statement TRUE or FALSE. Explain your answer. (3) 4.1.3 Att = 50s, the car collides with a bakkie, which has an initial momentum of 12 753 kg-m-s"' eastward. The final momentum of the car after the collision is 6 867 kg-m-s"' eastward. The collision lasted for 0,1 s. Calculate the momentum of the bakkie after the collision. (4) 4.1.4 Determine the magnitude of the force that the bakkie exerts on the car during the collision. (3) 4.1.5 Write down the magnitude and direction of the force that the car exerts on the bakkie. (1) Copyright reserved Please turn over

4.2 FS/June 2025 11 A pendulum of mass 12 kg is suspended at a height of 5 m above the ground, at position A. The pendulum is held in position A as shown in the sketch below. The pendulum swings down to position C, striking a stationary crate, X, of mass 4 kg. Ignore the effect of friction and mass of the string. A 5m i) 2m-s" 1m : Jjcrate X — crate X 4.2.1 Calculate the speed of the pendulum just before it collides with the crate. (4) After collision, crate, X, moves to the right with a velocity of 2 m-s"' on a horizontal frictionless surface. The pendulum moves back and passes point B which is 1m above the surface. 4.2.2 Calculate the momentum of the pendulum at point B after the collision. (6) [22] QUESTION 5 5.1. Aconstant force F is applied on the box of mass 60 kg by means of a string. The box moves 24,29 m down a rough inclined plane from point A to point B at CONSTANT VELOCITY. The kinetic friction between the surface and the box is 20,79 N. The string goes through frictionless pulley. F B 5.1.1. Define a non-conservative force. (2) 5.1.2 Is the work done by the applied force Positive or Negative? (1) 5.1.3 Name the non-conservative forces acting on the box. (2) Copyright reserved Please turn over

FS/June 12 5.1.4 Draw a labelled free body diagram showing all the forces acting on the box. 5.1.5 State the work energy theorem in words. 5.1.6 Using energy principles only, calculate the magnitude of the force F exerted on the box. 5.2 An electric pump is used to pump 400 kg of water from the borehole 5,6 m deep to the ground at a constant speed in 4 s. Ignore ALL frictional and capillarity effects. Electric pump water t ground 6 LO FO We BOP ODA OO ON ‘Water source Calculate the average power dissipated by the pump. Ignore energy losses in the form of heat and sound QUESTION 6 A hooter of a car travelling at a constant speed towards the detector emits sound waves of frequency 500 Hz. A detector placed on the side road records sound waves of frequency 615 Hz. The distance between the car and the detector is 30,85 m. The speed of sound in air is 330 m-s*. 6.1 Define the phenomenon describe above. 6.2 Calculate the speed of the car. 6.3 Calculate the time it takes the car to cover the distance of 30,85 m. 6.4 The spectrum of a distant star when viewed from the Earth is red shifted. 6.4.1. Is the star moving AWAY FROM or TOWARDS the Earth? Explain 6.4.2 What conclusion can be made about the size of the universe. 2025 (4) (2) (6) (3) [20] (2) (4) (3) (3) (1) [13] Copyright reserved Please turn over

FS/June 2025 13 QUESTION 7 Two identical charges, Q; and Q2 each carrying a charge of +100 x10 C are placed 3 cm apart as shown in the diagram below. 3cm Qi Q +100 x10° C +100 x10%C 7.1 Define in word electric field at a point. (2) 7.2 Draw electric field pattern associated with a single positive charge. (2) A third POSITIVELY charge Q3 is placed 3 cm away from Q; as indicated in the diagram below E S 2] 7.3. State Coulombs law in words. (2) 7.4 Drawa free body diagram to indicate all electrostatic forces acting on Qi, (2) 7.5 Calculate the magnitude of electrostatic force exerted by Q2 on Q:. (3) The net electrostatics force experience by Q; due to Q2 and Q3 is 1,41*10°N. 7.6 Calculate the magnitude of charge Q3. (4) [15] Copyright reserved Please turn over

FS/June 2025 14 QUESTION 8 A battery of an emf of 3,11 V and unknown internal resistance, r is connected to three resistors, a high-resistance voltmeters and an ammeter of negligible resistance, as shown below. al 4a Ra &) The reading on the ammeter is 0,2 A 8.1. What is meant by emf of 3,11 V. (2) 8.2 Calculate the: 8.2.1 Reading on the voltmeter. (4) 8.2.2 Total current supplied by the battery (3) 8.2.3 Internal resistance of the battery (3) 8.2.4 Power dissipated by the battery to internal resistor. ie Grand Total = 150 Copyright reserved Please turn over

FS/June 2025 DATA FOR PHYSICAL SCIENCES GRADE 12 PAPER 1 (PHYSICS) GEGEWENS VIR FISIESE WETENSKAPPE GRAAD 12 VRAESTEL 1 (FISIKA) TABLE 1: PHYSICAL CONSTANTS / TABEL 1: FISIESE KONSTANTES NAME / NAAM Se NBOOL VALUE / WAARDE SS a aati k 9,0 109 Nemec? Copyright reserved Please turn over

16 TABLE 2: FORMULAE/TABEL 2: FORMULES MOTION/BEWEGING FS/June 2025 veer at | dx =v,ot+Jaat® orfoF Dy = (¥, ie vy =v* +2adx onofv*=vi+2ady | de= a a orfof By = (Me | a =vAt+daat? \ FORCE/KRAG Fi.=ma | p=my ‘ =u,N rf =p.N F,,At=Lp , Ap=mv,- mv, M ono? F-o=" g=G— F-g™™ # = WORK, ENERGY AND POWER/ARBEID, ENERGIE EN DRYWING M onlof 9=G—> r W=FAxcos6 U=mgh oof £,—mgh 1 1 == lof == K zmv oni Ex 5m aK=K-K onfof AE =E, -E W,,, =AK oof Wi, = AE, _W W,, -AK+AU orlof W,, =AE, +AE. a Pave = Fave! Pgerid = FVgssi WAVES, SOUND AND LIGHT/GOLWE, KLANK EN LIG vai. T= —=-i a viv, viv, viv, h N= yey, owof f= ley t E=hf orlof E=-= E=W,+E,..., oof E=W,+K,,, where Eshf and Wy=hf, aNd Ejay = 5MVam OF Kya = FMV E=W,+E,.4.,, of E=W,+K,.,. waar 1 E=hf en W,=hf, en Ermasey = 5M Of Kine = SMV hla Copyright reserved Please turn over

17 ELECTROSTATIC S/ELEKTROSTATIKA FS/June 2025 ELECTRIC CIRCUIT SIELEKTRIESE STROOMBANE | emf () = (R +1) p=” I emk (£)=(R+n R,=R,+R,+ es ee “a= Ia R, R, R, 7 W=Vq p. At We=Vlat P=VI w=FRat P=PR Vint We ye p=—_ - R ALTERNATING CURRENT/WISSELSTROOM _ I I 1. = ft 1, = ieee = ie _f P.=E.R J Vv, Vv. Vv... =—™ / Vv. =—™ 2 =" re Pa= Vet ! Wool | A ct View wag” weer R Copyright reserved Please turn over