Final answer:
The power output of the Marine climbing a 9.5 m rope at constant speed is calculated using the formula Power = Work / Time. The work done is the product of the Marine's weight and the vertical distance, and the power output is found to be 702.5 watts.
Step-by-step explanation:
The student is asking about the power output of a Marine climbing a rope. Power in physics is the rate at which work is done. To find the power output, we use the formula Power (P) = Work (W) / Time (t). Since work done against gravity is the product of weight (force due to gravity) and displacement (height), we have W = 665 N * 9.5 m. Given that the climb is completed in 9.00 s, we calculate Power as follows:
Calculate work: W = F * d = 665 N * 9.5 m = 6317.5 J (joules)
Calculate power: P = W / t = 6317.5 J / 9.00 s = 702.5 W (watts)
Therefore, the power output of the Marine is 702.5 watts.