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CIE iGCSE Co-Ordinated Science P1.6.4 Power Exam Style Questions Paper 2

Question

An electric motor transfers 4000 J of electrical energy to useful energy and 12 000 J of electrical energy is wasted.

What is the efficiency of the motor?

A. 25%
B. 33%
C. 50%
D. 75%

▶️ Answer/Explanation
Total electrical energy input \( = 4000 + 12\,000 = 16\,000 \text{ J} \).
Efficiency \( = \dfrac{\text{useful energy output}}{\text{total energy input}} \times 100 = \dfrac{4000}{16\,000}\times100 \).
This gives an efficiency of 25%.
Answer: (A)

Question

A car accelerates uniformly from rest along a horizontal road. After \(5.0\,\text{s}\), its kinetic energy is \(400\,\text{kJ}\).

What is the useful power produced by the engine of the car?

A. \(80\,\text{W}\)
B. \(2000\,\text{W}\)
C. \(80\,000\,\text{W}\)
D. \(2\,000\,000\,\text{W}\)

▶️ Answer/Explanation
Power is energy transferred per second: \(P = \frac{E}{t}\).
Converting energy: \(400\,\text{kJ} = 400\,000\,\text{J}\).
\(P = \frac{400\,000}{5.0} = 80\,000\,\text{W}\).
Answer: (C)

Question

A passenger lift (elevator) has a total weight of 4000 N, including the people inside it. The power output of the lift motor is 800 W.

How much time does it take for the lift to rise 12 m vertically?

A. 2.4 s
B. 6.0 s
C. 24 s
D. 60 s

▶️ Answer/Explanation
The work done lifting the lift is calculated using \(W = Fd = 4000 \times 12 = 48000\ \text{J}\).
Power is the rate of doing work, so \(P = \frac{W}{t}\), which rearranges to \(t = \frac{W}{P}\).
Substituting values gives \(t = \frac{48000}{800} = 60\ \text{s}\).
Answer: (D)

Question

Four different kettles contain different masses of water.

They are used to heat the water from room temperature to boiling point.
The kettles take different times to do this.
Which kettle has the lowest useful power output?

 

▶️Answer/Explanation

Ans: B

Question

A 900W oven operates for 2.0 minutes. How much energy is transferred by the oven?
(A)  7.5 J      (B)  450 J      (C) 1.8 kJ      (D) 108 kJ

▶Answer/Explanation

Ans : D

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