A Levels Physics (9702)•9702/13/M/J/23

Explanation
Input power equals output power divided by efficiency
Steps:
- At constant velocity on horizontal road, engine force balances resistive force F, so net force is zero.
- Output power delivered by engine: P_out = F × v.
- Efficiency η = 25% = 0.25 = P_out / P_in.
- Input power P_in = P_out / 0.25 = Fv / 0.25.
Why C is correct:
- Matches formula P_in = Fv / η, where η = 0.25 defines efficiency as ratio of output to input power.
Why the others are wrong:
- A uses 0.4 instead of 0.25, incorrect efficiency value.
- B gives 0.4 Fv, which is output power scaled wrongly, not input.
- D is zero, ignoring any power requirement.
Final answer: C
Topic: Energy conservation
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