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CIE iGCSE Co-Ordinated Science P1.6.4 Power Exam Style Questions Paper 1

Question

A student runs up some stairs.

Which quantities are used to calculate the power of the student?

A. the weight of the student and the vertical distance moved
B. the weight of the student and the time taken
C. the work done by the student and the vertical distance moved
D. the work done by the student and the time taken

▶️ Answer/Explanation
Power is defined as the rate of doing work, so it requires the work done and the time taken. The weight and vertical distance moved are used to calculate the work done (W = Fd), but power specifically needs the work done and the time taken to determine the rate of energy transfer.
Answer: (D)

Question

The power rating of an electric kettle is 1500 W.

What does this mean?

A. The kettle requires 1500 J to boil water.
B. The kettle takes 1500 s to boil water.
C. The kettle transfers 1500 J of energy every second.
D. The weight of the kettle is 1500 N.

▶️ Answer/Explanation
Power is defined as the rate of energy transfer: \(P = \frac{E}{t}\), so 1500 W means the kettle transfers 1500 joules of electrical energy into heat energy every second.
The other options confuse power with total energy (A), time (B), or weight (D) — none of which is the definition of power rating.
Answer: (C)

Question

A machine does a certain quantity of work in a certain time.

Which changes to the quantity of work done and to the time taken both decrease the power produced by the machine?

▶️ Answer/Explanation
Power is calculated using \( P = \dfrac{W}{t} \), where W is work done and t is time taken.
Decreasing the work done (numerator) on its own decreases power.
Increasing the time taken (denominator) also decreases power, so decreasing work done together with increasing time both act to decrease power.
Answer: (B)

Question

A machine takes a certain time to do a certain quantity of work.
Which pair of changes must increase the power of the machine?

A. decreasing the work done and decreasing the time taken
B. decreasing the work done and increasing the time taken
C. increasing the work done and decreasing the time taken
D. increasing the work done and increasing the time taken

▶️ Answer/Explanation
Power is calculated using \( P = \dfrac{W}{t} \), where W is work done and t is time taken.
Increasing the work done (numerator) while decreasing the time taken (denominator) both act to increase the value of power.
Any option that decreases work done or increases time taken would decrease or fail to guarantee an increase in power.
Answer: (C)

Question

Two forklift trucks P and Q lift identical loads through the same vertical height.

Truck P takes a greater time than truck Q to lift the load.

Which statement is correct?

A. Truck P does more work than truck Q.
B. Truck P produces more power than truck Q.
C. Truck Q does more work than truck P.
D. Truck Q produces more power than truck P.

▶️ Answer/Explanation
Since both trucks lift identical loads through the same height, they do the same amount of work — so options A and C are wrong.
Power is calculated as \( P = \frac{W}{t} \); since truck Q does the same work in less time, it produces more power than truck P.
Answer: (D)
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