A Levels Physics (9702)•9702/12/O/N/22

Explanation
Power equals work divided by time Steps:
- Work done against gravity to lift the load is force times distance: W × d.
- Useful power P is work divided by time taken t: P = (W d) / t.
- Rearrange for time: t = (W d) / P.
- For constant velocity, velocity v = d / t = P / W, but the expression matching t is W d / P.
Why C is correct:
- It equals time t = work / power from the definition of power as rate of work done.
Why the others are wrong:
- A: P / (W d) = 1 / t, the inverse of time.
- B: W v equals power P for constant-velocity lifting.
- D: P v / W has units of velocity squared and circularly includes v.
Final answer: C
Topic: Gravitational potential energy and kinetic energy
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