Assume running consumes 107 Calories per mile. If you run 11 -minute miles, what is your average power output, in watts, during a 11 -hour run

Note that 1 cal = 4.184 J

1 W = 1 J/s

The given calorie consumption rate is

107 cal/mi

In running 11-minute miles, the energy expenditure rate is

(107 cal/mi) * (1 mi/11 min) = 107/11 cal/min = 9.7293 ca/min

= (9.7293 cal/min) * (1 min/60 s)

= 0.1622 cal/s

Because 1 cal = 4.184 J, the energy expenditure rate is

(0.1622 cal/s) * (4.184 J) = 0.6786 J/s

= 0.6786 W

In an 11-hour run, the total time is

(11 h) * (3600 s/h) = 39600 s

Total work done is (0.6786 J/s) * (39600 s) = 26873 J = 26.873 kJ

Answer:

Average power output = 0.6786 W

Total work or energy = 26.87 kJ (nearest hundredth)