Explanation

Power is calculated as force times velocity. The weight flow rate is 100 N/s, which acts as the force. The velocity can be derived from potential energy conversion (v = sqrt(2gh)), but a simpler approach uses Power = (Weight/Time) * height = 100 N/s * 100 m = 10,000 W = 10 kW. Wait, let's re-evaluate. Power = Work/time = (Force * distance)/time. Here, Force is weight (100 N), distance is height (100 m). So Power = 100 N * 100 m / 1 s = 10,000 J/s = 10 kW. The options are in kW. 10 kW is not listed. Let's check the calculation again. Maybe the rate is mass? No, it says 100 N/sec. That is weight flow rate. Power = (dm/dt) * g * h. If 100 N/sec is weight flow rate (mg/t), then Power = (Weight flow rate) * h = 100 * 100 = 10,000 W = 10 kW. None of the options match 10 kW exactly. Options are 1000, 10000, 100, 5000 kW. 10,000 kW is 10 MW. This seems off by a factor of 1000. Let's check if the rate is 100 kg/sec? If mass flow is 100 kg/s, Power = mgh/t = 100 * 9.8 * 100 ≈ 98,000 W ≈ 98 kW ≈ 100 kW. Option C is 100 kW. This is a common approximation in physics problems (g≈10). If the question meant 100 kg/sec, C is correct. If it strictly means 100 N/sec, the answer is 10 kW, which isn't there. However, often