Chapter 15, Problem 14P

To determine

The amount of energy transformed.

Answer to Problem 14P

The amount of energy transformedis $1.55\times {10}^7\text{J}$ .

Explanation of Solution

Given Information:

From example 15-8, total energy transformed, $E_{\text{Transform}}=1.15\times {10}^7\text{J}$

Metabolism rate during sitting upright, $M_r=115\text{J/s}$

Metabolism rate during running, $M_{run}=1150\text{J/s}$

Formula Used:

The energy transformation during any activity depends upon the metabolism rate

Calculation:

Since, the person took a brake and run for 1 hour. Calculate the amount of energy transformed.

  $\begin{array}{c}E=1.15\times {10}^7-\left(1\text{hr}\times \frac{3600\text{s}}{1\text{s}}\times 115\right)+\left(1\text{hr}\times \frac{3600\text{s}}{1\text{s}}\times 1150\right)\\ =1.15\times {10}^7-414\times {10}^3+4.14\times {10}^6\\ =1.55\times {10}^7\text{J}\end{array}$

Conclusion:

Therefore, the amount of energy transformed is $1.55\times {10}^7\text{J}$ .