Answer :
Answer: Metabolic rate is 1600 W.
Explanation:
Gravitational energy = mgh
= 80 × 10 × 120
=96000
This gravitational energy accounts for 10% of her total energy.
[tex]\frac{10}{100}[/tex] × E(total energy) = 96000
E = 96000 × 10
= 960000 N
Time required = 10 minutes = 10× 60 seconds
=600 seconds
Metabolic rate = [tex]\frac{energy}{time}[/tex]
= [tex]\frac{960000}{600}[/tex]
= 1600 W
The climber's average metabolic rate is equal to 1,666 Watts.
Given the following data:
- Mass = 85 kg.
- Percentage = 10%.
- Height = 120 meters.
- Time = 10 minutes.
Conversion:
1 minute = 60 seconds
10 minutes = [tex]60 \times 10[/tex] = 600 seconds.
To determine the climber's average metabolic rate (in Watts):
How to calculate the climber's total energy.
First of all, we would determine the climber's gravitational potential energy by using this formula:
[tex]GPE = mgh\\\\GPE = 85 \times 9.8 \times 120[/tex]
GPE = 99,960 Joules.
For the total energy:
[tex]GPE = \frac{10}{100} \times TE \\\\99960 = \frac{10}{100} \times TE\\\\99960 =0.1TE\\\\TE=\frac{99960}{0.1}[/tex]
Total energy = 999,600 Joules.
For the average metabolic rate:
Mathematically, the average metabolic rate is given by this formula:
[tex]Metabolic \;rate = \frac{TE}{time} \\\\Metabolic \;rate = \frac{999600}{600}[/tex]
Metabolic rate = 1,666 watts.
Read more on potential energy here: https://brainly.com/question/1242059