Power is work per unit time, proportional to (mass × distance)/time

Steps:

• Power P = (m g h)/t; since g is constant, compare m × h / t for each option.
• Option A: (2 kg × 2 m) / 5 s = 4 / 5 = 0.8
• Option B: (1.5 kg × 2.5 m) / 2 s = 3.75 / 2 = 1.875
• Option C: (2 kg × 2 m) / 1.5 s = 4 / 1.5 ≈ 2.67
• Option D: (1.5 kg × 2.5 m) / 1.5 s = 3.75 / 1.5 = 2.5

Why C is correct:

• It yields the highest (m × h)/t value, maximizing power as defined by P = work/time.

Why the others are wrong:

• A: Lowest (m × h)/t due to longest time, minimizing power.
• B: (m × h)/t lower than C from smaller mass and longer time relative to distance.
• D: (m × h)/t slightly below C due to smaller mass despite same time.

Final answer: C