iGCSE Physics (0625) 1.7.4 Powers -Exam Style Questions Paper 1- New Syllabus

Question

A boy produces an average useful power output of $60\text{ W}$ as he rides his bicycle for $2.0\text{ minutes}$.
How much useful energy does he transfer?
A. $0.50\text{ J}$
B. $30\text{ J}$
C. $120\text{ J}$
D. $7200\text{ J}$
▶️ Answer/Explanation
Correct Option: D

Detailed solution:

To find the useful energy transferred, we use the power formula: $P = \frac{\Delta E}{t}$.
First, convert the time from minutes to the SI unit of seconds: $t = 2.0 \times 60 = 120\text{ s}$.
Rearranging the formula to solve for energy gives: $\Delta E = P \times t$.
Substitute the given values: $\Delta E = 60\text{ W} \times 120\text{ s} = 7200\text{ J}$.
This calculation shows that the total useful energy transferred by the boy is $7200\text{ J}$.
Thus, option D is the correct answer.

Question

A microwave oven is rated at 900 watts.
Which statement correctly describes the meaning of this value?
A. 900 joules are transferred every second.
B. 900 amperes are transferred every second.
C. 900 volts are transferred every second.
D. 900 ohms are transferred every second.
▶️ Answer/Explanation
Correct Option: A

Detailed solution:

Power is defined as the rate of energy transfer, measured in watts (W).
One watt is equivalent to one joule per second ($1\text{ W} = 1\text{ J/s}$).
Therefore, a rating of $900\text{ W}$ means the microwave transfers $900\text{ joules}$ of electrical energy into heat and other forms every second.
Options B, C, and D are incorrect as they confuse the units for current, potential difference, and resistance.

Question
The engine of a motor vehicle develops a large power. Which statement is correct?
A. The driving force acting on the vehicle must be large.
B. The engine must have a very large volume.
C. The engine must transfer large amounts of energy each second.
D. The vehicle must be very fast.
▶️ Answer/Explanation
Correct Option: C

Detailed solution:

Power is defined as the rate of energy transfer, given by the equation $P = \frac{\Delta E}{t}$.
A large power output does not necessarily require a large force or high speed independently; it specifically indicates that a large amount of energy is being transferred or work is being done in a short interval of time.
Therefore, the statement that the engine transfers large amounts of energy each second is the direct and correct interpretation of high power.
Options A and D may be true in certain contexts but are not absolute requirements of power alone, and B is irrelevant.

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