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Secondary 2 Science Physical Sciences Quiz
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Secondary 2 Science Quiz — Physical Sciences
Answer Key
Section A: Multiple Choice
1. Answer: C
- Marking: 2 marks for correct answer.
- Explanation: On a frictionless slope, mechanical energy is conserved. Total energy (KE + GPE) remains constant. Option A is wrong because KE increases and GPE decreases. Option B is wrong because energy converts to KE, not thermal (frictionless). Option D is wrong because KE at the bottom equals GPE at the top.
2. Answer: C
- Marking: 2 marks for correct answer.
- Working: Work done = Force × Distance = 20 N × 5 m = 100 J
3. Answer: C
- Marking: 2 marks for correct answer.
- Explanation: The SI unit of power is the watt (W). Joule is the unit of energy, Newton is the unit of force, and Pascal is the unit of pressure.
4. Answer: B
- Marking: 2 marks for correct answer.
- Working:
- Work done = mgh = 200 × 10 × 10 = 20,000 J
- Power = Work / Time = 20,000 / 8 = 2,500 W
5. Answer: B
- Marking: 2 marks for correct answer.
- Explanation: As the pendulum falls from the highest point to the lowest point, height decreases and speed increases. Gravitational potential energy is converted to kinetic energy.
Section B: Short Answer
6. Answer:
- Principle of conservation of energy: Energy cannot be created or destroyed. It can only be converted from one form to another. The total energy in a closed system remains constant.
- Marking: 2 marks — 1 mark for stating energy cannot be created or destroyed; 1 mark for stating energy is converted from one form to another (or total energy remains constant).
- Common mistake: Students often state only one part (e.g., "energy cannot be created or destroyed") without mentioning conversion. Both ideas are needed for full marks.
7. Answer:
- Definition: Work done is the product of the force applied on an object and the distance moved by the object in the direction of the force.
- SI unit: Joule (J)
- Marking: 2 marks — 1 mark for correct definition; 1 mark for correct unit.
- Common mistake: Students sometimes confuse work done with force. Emphasise that work requires movement in the direction of the force.
8. Answer:
- Working:
- GPE = mgh = 1.5 × 10 × 2.0 = 30 J
- Marking: 2 marks — 1 mark for correct substitution; 1 mark for correct answer with unit.
- Common mistake: Forgetting to include the unit (J) or using the wrong value for g.
9. Answer:
- Kinetic energy is the energy a body possesses due to its motion. It depends on the mass and speed of the object.
- Gravitational potential energy is the energy a body possesses due to its position in a gravitational field (i.e., its height above a reference level). It depends on the mass, gravitational field strength, and height of the object.
- Marking: 2 marks — 1 mark for each correct distinction.
- Common mistake: Students may confuse the two or give incomplete definitions. Both the nature of the energy and the factors it depends on should be mentioned.
10. Answer:
- Working:
- Work done = mgh = 50 × 10 × 6 = 3,000 J
- Power = Work / Time = 3,000 / 12 = 250 W
- Marking: 3 marks — 1 mark for correct work done; 1 mark for correct substitution into power formula; 1 mark for correct answer with unit.
- Common mistake: Students may calculate work done correctly but forget to divide by time to get power.
Section C: Structured Response
11.
(a) Answer: 4,800 J
- Working: GPE = mgh = 60 × 10 × 8 = 4,800 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(b) Answer:
- Principle: Energy cannot be created or destroyed, only converted from one form to another.
- Explanation: At the platform, the diver has maximum gravitational potential energy and zero kinetic energy. As she falls, height decreases and speed increases, so gravitational potential energy is converted to kinetic energy. Just before entering the water, most of the gravitational potential energy has been converted to kinetic energy. The total mechanical energy (KE + GPE) remains constant throughout the fall (assuming no air resistance).
- Marking: 3 marks — 1 mark for stating the principle; 1 mark for describing the conversion (GPE → KE); 1 mark for stating that total energy remains constant.
(c) Answer: 12.6 m/s (or √160 ≈ 12.65 m/s)
- Working:
- By conservation of energy: GPE at top = KE at bottom
- mgh = ½mv²
- v = √(2gh) = √(2 × 10 × 8) = √160 = 12.6 m/s
- Marking: 3 marks — 1 mark for stating conservation of energy / equating GPE to KE; 1 mark for correct substitution; 1 mark for correct answer.
- Common mistake: Students may try to use kinematic equations unnecessarily. The energy method is more direct.
12.
(a) Answer: 200 J
- Working: Work done = Force × Distance = 50 × 4 = 200 J
- Marking: 2 marks — 1 mark for formula; 1 mark for correct answer with unit.
(b) Answer: 40 W
- Working: Power = Work / Time = 200 / 5 = 40 W
- Marking: 2 marks — 1 mark for formula; 1 mark for correct answer with unit.
(c) Answer:
- Because the floor is rough, friction acts on the crate. Some of the work done by the student is converted to thermal energy (heat) to overcome friction. Therefore, only part of the work done becomes kinetic energy of the crate.
- Marking: 2 marks — 1 mark for identifying friction; 1 mark for explaining that some energy is converted to thermal energy.
- Common mistake: Students may say "energy is lost" without specifying where it goes. Energy is not lost — it is converted to another form (thermal energy).
13.
(a) Answer: 100 J
- Working: KE = ½mv² = ½ × 0.5 × 20² = ½ × 0.5 × 400 = 100 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(b) Answer: 20 m
- Working:
- At maximum height, all KE is converted to GPE.
- ½mv² = mgh
- h = v² / (2g) = 400 / (2 × 10) = 400 / 20 = 20 m
- Marking: 3 marks — 1 mark for equating KE to GPE; 1 mark for correct substitution; 1 mark for correct answer with unit.
(c) Answer: 0 J
- At the maximum height, the ball momentarily stops (velocity = 0), so its kinetic energy is zero. All the initial kinetic energy has been converted to gravitational potential energy.
- Marking: 1 mark for correct answer with explanation.
14.
(a) Answers:
- Machine X: Power = 600 / 10 = 60 W
- Machine Y: Power = 800 / 20 = 40 W
- Machine Z: Power = 500 / 5 = 100 W
- Marking: 3 marks — 1 mark for each correct calculation.
(b) Answer:
- Machine Z has the highest power (100 W).
- A machine with higher power does more work per unit time, but this does not mean it is more efficient. Efficiency depends on how much of the total energy input is converted to useful energy output. A powerful machine may waste more energy (e.g., as heat) than a less powerful but more efficient machine.
- Marking: 2 marks — 1 mark for identifying Machine Z; 1 mark for explaining the distinction between power and efficiency.
- Common mistake: Students often confuse power with efficiency. Power is the rate of doing work; efficiency is the ratio of useful energy output to total energy input.
15.
(a) Answer: 75,000 J
- Working:
- At point A, the car is at rest, so KE = 0.
- Total mechanical energy = GPE = mgh = 300 × 10 × 25 = 75,000 J
- Marking: 2 marks — 1 mark for stating KE = 0 and total energy = GPE; 1 mark for correct calculation with unit.
(b) Answer: 22.4 m/s (or √500 ≈ 22.36 m/s)
- Working:
- By conservation of energy: GPE at A = KE at B
- mgh = ½mv²
- v = √(2gh) = √(2 × 10 × 25) = √500 = 22.4 m/s
- Marking: 3 marks — 1 mark for equating GPE to KE; 1 mark for correct substitution; 1 mark for correct answer.
(c) Answer:
- In reality, friction and air resistance act on the car. Some of the mechanical energy is converted to thermal energy (heat) due to friction between the wheels and the track, and air resistance. Therefore, the kinetic energy at point B is slightly less, and so is the speed.
- Marking: 1 mark for mentioning friction/air resistance and conversion to thermal energy.
Section D: Application and Data Interpretation
16.
(a) Answer: 0.25 kWh
- Working:
- Power = 1,500 W = 1.5 kW
- Time = 10 minutes = 10/60 = 1/6 hour
- Energy = Power × Time = 1.5 × (1/6) = 0.25 kWh
- Marking: 3 marks — 1 mark for converting W to kW; 1 mark for converting minutes to hours; 1 mark for correct answer with unit.
(b) Answer: $0.075 (or 7.5 cents)
- Working: Cost = 0.25 × 0.075**
- Marking: 1 mark for correct calculation.
17.
(a) Answer: 0.8 J
- Working: GPE = mgh = 0.2 × 10 × 0.4 = 0.8 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(b) Answer: 0.4 J
- Working: KE = ½mv² = ½ × 0.2 × 2.0² = ½ × 0.2 × 4 = 0.4 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(c) Answer:
- The GPE at the top (0.8 J) is greater than the KE at the bottom (0.4 J). The difference of 0.4 J is due to friction between the car and the ramp. This energy is converted to thermal energy (heat). Not all the gravitational potential energy is converted to kinetic energy because some is lost to overcome friction.
- Marking: 2 marks — 1 mark for identifying that GPE > KE; 1 mark for explaining the difference is due to friction/thermal energy.
- Common mistake: Students may say "energy is lost" without specifying the form. Emphasise energy conversion, not loss.
18.
(a) Answer: 3,000 J (for each student)
- Working: GPE = mgh = 50 × 10 × 6 = 3,000 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(b) Answers:
- Ali: Power = 3,000 / 8 = 375 W
- Bala: Power = 3,000 / 12 = 250 W
- Marking: 2 marks — 1 mark for each correct calculation.
(c) Answer:
- Ali developed more power (375 W > 250 W) because Ali did the same amount of work (climbing the same height) in a shorter time. Power is the rate of doing work, so a shorter time means greater power.
- Marking: 1 mark for correct comparison with explanation.
19.
(a) Answer: 300 J
- Working: GPE = mgh = 2 × 10 × 15 = 300 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(b) Answer: 17.3 m/s (or √300 ≈ 17.32 m/s)
- Working:
- By conservation of energy: GPE = KE
- mgh = ½mv²
- v = √(2gh) = √(2 × 10 × 15) = √300 = 17.3 m/s
- Marking: 3 marks — 1 mark for equating GPE to KE; 1 mark for correct substitution; 1 mark for correct answer.
(c) Answer:
- The speed would be less than 17.3 m/s. Air resistance acts against the motion of the falling object, so some of the gravitational potential energy is converted to thermal energy (due to air resistance) rather than all being converted to kinetic energy. Therefore, the kinetic energy just before impact is less, and so is the speed.
- Marking: 1 mark for stating speed is less, with explanation involving air resistance and energy conversion.
20.
(a) Answer: 5,000,000 J (or 5 × 10⁶ J or 5 MJ)
- Working: GPE = mgh = 10,000 × 10 × 50 = 5,000,000 J
- Marking: 2 marks — 1 mark for substitution; 1 mark for correct answer with unit.
(b) Answer: 4,000,000 J (or 4 × 10⁶ J or 4 MJ)
- Working: Electrical energy = 80% of GPE = 0.80 × 5,000,000 = 4,000,000 J
- Marking: 2 marks — 1 mark for using 80%; 1 mark for correct answer.
(c) Answer:
- The remaining 20% (1,000,000 J) of the energy is converted to other forms of energy, primarily thermal energy (heat). This occurs due to friction in the turbine and pipe, and also sound energy as the water flows and the machinery operates. The principle of conservation of energy still holds — the total energy is conserved, but not all of it is converted to useful electrical energy.
- Marking: 2 marks — 1 mark for identifying thermal energy (heat) as one form; 1 mark for mentioning another form (e.g., sound) or linking to conservation of energy.
- Common mistake: Students may say "energy is lost" instead of "energy is converted to other forms." Emphasise that energy is conserved.
End of Answer Key