Power equals force times velocity, with velocity identical across options

Steps:

• Power P = work/time = (F × d)/t, where d = 1.0 m and t = 10 s for all cases.
• Motion aligns with the resultant force direction, so work = F × d using force magnitude F.
• Velocity v = d/t = 0.1 m/s, same for all, so P = F × v ∝ F.
• Largest F yields greatest P.

Why A is correct:

• 12 N is the maximum force magnitude, so P = 12 N × 0.1 m/s = 1.2 W per the power formula.

Why the others are wrong:

• B: 8 N force gives P = 0.8 W, less than 1.2 W.
• C: 10 N force gives P = 1.0 W, less than 1.2 W.
• D: 4 N force gives P = 0.4 W, less than 1.2 W.

Final answer: A