Secondary 4 Physics Practice Paper: Kinematics, Forces and Newton Laws, Work Energy and Power, Momentum and Collisions, Heat and Specific Heat Capacity, Waves and Lenses (100 marks)
- 2026-11-14
S4 Physics practice paper, 24 parts on kinematics, forces, work and power, momentum, specific heat capacity and lenses. All values computed in python.
Section A: Kinematics and Graphs (16 marks)
A car starts from rest and accelerates uniformly at 2.0 m/s2 for 6 s, then travels at constant speed for 10 s, and finally decelerates uniformly to rest in 5 s.
| # | Question | Answer and marking notes |
|---|---|---|
| 1 | (a) Find the speed of the car at the end of the acceleration stage. | Answer: v = 2.0 x 6 = 12 m/s in the direction of motion. (Marking: formula 1, substitution 1, unit 1) |
| 2 | (b) Find the total distance travelled in the whole 21 s. | Answer: acceleration stage 36 m, constant speed stage 120 m, deceleration stage 30 m, total 186 m. (Marking: 1 mark per stage, 1 for sum, 1 for unit) |
| 3 | (c) Find the average speed for the whole journey (3 significant figures). | Answer: average speed = 186 / 21 = 8.86 m/s. (Marking: total distance over total time 2, value 1, unit 1) |
| 4 | (d) Find the acceleration in the deceleration stage and state its direction. | Answer: a = (0 – 12) / 5 = -2.4 m/s2; the negative sign shows it opposes the motion, magnitude 2.4 m/s2. (Marking: formula 1, value 1, direction 2) |
Section B: Forces and Newton Laws (16 marks)
A 5 kg block on a rough horizontal table is pulled from rest by a horizontal force of 40 N. The coefficient of kinetic friction is 0.35 and g = 10 m/s2.
| # | Question | Answer and marking notes |
|---|---|---|
| 5 | (a) Find the friction force acting on the block. | Answer: f = 0.35 x 5 x 10 = 17.5 N opposing the motion. (Marking: formula 1, value 1, direction 1) |
| 6 | (b) Find the acceleration of the block. | Answer: net force 22.5 N; a = 22.5 / 5 = 4.5 m/s2. (Marking: net force 1, formula 1, value 2) |
| 7 | (c) Find the speed of the block after 4 s. | Answer: v = 4.5 x 4 = 18 m/s. (Marking: formula 1, substitution 2, unit 1) |
| 8 | (d) If the pulling force is removed at the end of 4 s, find the further distance slid. | Answer: deceleration 3.5 m/s2; s = 18^2 / (2 x 3.5) = 46.3 m. (Marking: deceleration 2, formula 1, value 2) |
Section C: Work, Energy and Power (16 marks)
A 20 kg crate is pushed 5 m up a smooth incline measured along the incline. The incline makes 30 degrees with the horizontal and g = 10 m/s2.
| # | Question | Answer and marking notes |
|---|---|---|
| 9 | (a) Find the vertical height gained by the crate. | Answer: h = 5 x sin 30 = 2.5 m. (Marking: trigonometry 2, value 1) |
| 10 | (b) Find the work done against gravity in the process. | Answer: W = mgh = 20 x 10 x 2.5 = 500 J. (Marking: formula 1, substitution 2, unit 1) |
| 11 | (c) If the whole process takes 4 s, find the average power of the pushing force. | Answer: P = 500 / 4 = 125 W. (Marking: formula 1, substitution 2, unit 1) |
| 12 | (d) The crate is released from rest at that height and slides down the smooth incline. Find its speed at the bottom. | Answer: by energy conservation v = sqrt(2 x 10 x 2.5) = 7.07 m/s. (Marking: energy conservation 2, formula 1, value 2) |
Section D: Momentum and Collisions (16 marks)
Trolley A of mass 2 kg moving at 3 m/s collides with stationary trolley B of mass 4 kg. After the collision the two trolleys stick together.
| # | Question | Answer and marking notes |
|---|---|---|
| 13 | (a) Find the common speed of the two trolleys after collision. | Answer: momentum conservation gives 6 = 6v, so v = 1 m/s. (Marking: equation 1, substitution 1, value 1) |
| 14 | (b) Find the total kinetic energy before the collision. | Answer: total KE = 0.5 x 2 x 9 = 9 J. (Marking: formula 1, substitution 2, unit 1) |
| 15 | (c) Find the kinetic energy lost in the collision. | Answer: KE after = 3 J, so loss = 6 J. (Marking: final KE 2, subtraction 2) |
| 16 | (d) If the collision were perfectly elastic, find the velocities of A and B after collision. | Answer: A = -1 m/s (rebounds), B = 2 m/s; momentum 6 and KE 9 are both conserved. (Marking: A 2, B 2, check 1) |
Section E: Heat and Specific Heat Capacity (16 marks)
A 500 W heater heats 0.5 kg of water from 20 degC to 80 degC. The specific heat capacity of water is 4200 J/(kg K).
| # | Question | Answer and marking notes |
|---|---|---|
| 17 | (a) Find the energy absorbed by the water. | Answer: Q = mc dT = 0.5 x 4200 x 60 = 126000 J. (Marking: formula 1, substitution 2, unit 1) |
| 18 | (b) Find the time needed in theory. | Answer: t = 126000 / 500 = 252 s. (Marking: formula 1, substitution 2, unit 1) |
| 19 | (c) If the heating actually takes 300 s, find the efficiency of the heater. | Answer: efficiency = 126000 / 150000 = 0.84, i.e. 84 per cent. (Marking: definition 2, calculation 2, percent 1) |
| 20 | (d) Explain why the actual time is longer than the theoretical value. | Answer: some heat is lost to the surroundings and the container, so less energy heats the water. (Marking: heat loss 2, explanation 1) |
Section F: Waves and Lenses (20 marks)
A sound wave of frequency 250 Hz travels in air with wavelength 1.2 m. A convex lens of focal length 10 cm has an object placed 30 cm in front of it.
| # | Question | Answer and marking notes |
|---|---|---|
| 21 | (a) Find the speed of the sound wave. | Answer: v = f x wavelength = 250 x 1.2 = 300 m/s. (Marking: formula 1, substitution 2, unit 1) |
| 22 | (b) Find the time for the sound wave to travel 510 m. | Answer: t = 510 / 300 = 1.7 s. (Marking: formula 1, substitution 2, unit 1) |
| 23 | (c) Find the image distance. | Answer: 1/v = 1/10 – 1/30 = 1/15, so v = 15 cm behind the lens. (Marking: formula 2, substitution 2, value 2) |
| 24 | (d) Find the magnification and state the nature of the image. | Answer: m = 15 / 30 = 0.5; the image is inverted, diminished and real. (Marking: magnification 2, inverted 1, diminished 1, real 2) |
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