Question

assume running consumes 106 calories per mile. if you run 10 - minute miles, what is your average power output, in watts? your average power output is watts. (round to the nearest whole number as needed.)

Explanation:

Step1: Convert calories to joules

1 calorie = 4184 joules. So for 106 calories, the energy $E$ in joules is $E = 106\times4184=443504$ J.

Step2: Convert time to seconds

The time $t$ to run 1 mile is 10 minutes. Since 1 minute = 60 seconds, $t=10\times60 = 600$ s.

Step3: Calculate power

Power $P$ is given by the formula $P=\frac{E}{t}$. Substituting the values of $E$ and $t$, we get $P=\frac{443504}{600}\approx739.17$ W.

Answer:

739