Step 1 :Assume running consumes 95 Calories per mile. If you run 10-minute miles, what is your average power output, in watts?
Step 2 :First, we need to convert the calories burned per mile into joules. We know that 1 Calorie = 4184 Joules. So, the energy consumed per mile in joules is \(95 \times 4184 = 397480\) Joules.
Step 3 :Next, we need to convert the time taken to run a mile into seconds. We know that 1 minute = 60 seconds. So, the time taken to run a mile is \(10 \times 60 = 600\) seconds.
Step 4 :Finally, we can calculate the power output in watts. Power (W) is calculated as the energy consumed divided by the time taken. So, the power output is \(\frac{397480}{600} = 662.4666666666667\) watts.
Step 5 :We round this to the nearest whole number to get \(\boxed{662}\) watts.