Final answer:
The power of the horse is calculated by dividing the work done by the time taken. Work done is 2,000,000 joules and the time taken is 2,700 seconds, resulting in a power output of approximately 740.74 watts.
Step-by-step explanation:
To calculate the power of the horse, we first need to find the work done by the horse and then divide it by the time taken to do that work. Work (W) is defined as the force times the displacement (W = F × d), and power (P) is work done per unit time (P = W/t). In this case, the force (F) applied by the horse is 2,000 N and the displacement (d) is 1.00 km, which needs to be converted to meters (1 km = 1,000 meters), so d = 1,000 meters. The time (t) is given as 45 minutes, which we should convert to seconds (1 minute = 60 seconds), thus t = 45 × 60 seconds. So the work done by the horse is: W = F × d = 2,000 N × 1,000 m = 2,000,000 N·m (or joules since 1 N·m = 1 J), And the time in seconds: t = 45 minutes × 60 seconds/minute = 2,700 seconds Now we can calculate the power: P = W/t = 2,000,000 J / 2,700 s ≈ 740.74 watts.