Final answer:
The average useful power output of a 95.0 kg man who does 9.00x10⁶ J of work in 10.0 hours is 250 watts, calculated using the power formula P=W/t where P is power, W is work, and t is time.
Step-by-step explanation:
To calculate the average useful power output of a 95.0 kg man who does 9.00x10⁶ J of work in 10.0 hours, we use the definition of power as work done per unit of time. Power is given by the formula:
P = rac{W}{t}
where P is power in watts (W), W is work in joules (J), and t is time in seconds (s).
First, convert the time from hours to seconds:
10.0 hours × 3600 seconds/hour = 36000 seconds
Now, plug the values into the power formula:
P = rac{9.00 × 10⁶ J}{36000 s} = 250 W
So, the average useful power output of the man is 250 watts.