Final answer:
A person with a metabolism rate of 80 W will take approximately 23.535 seconds to consume 450 calories while resting and approximately 2.58 seconds when doing heavy work at a rate of 730 W.
Step-by-step explanation:
To answer the student's question about metabolism rates and the consumption of calories during different levels of activity, we need to apply the concepts of energy conversion and power.
Firstly, if the person's metabolism rate is 80 W (watts) when resting, we need to calculate how long it will take to consume 450 calories of food, keeping in mind that 1 calorie (cal) = 4.184 joules (J) and power (W) = energy (J) / time (s).
For the resting state:
- Convert calories to joules: 450 cal * 4.184 J/cal = 1882.8 J
- Calculate time: 1882.8 J / 80 W = 23.535 s
Secondly, for the heavy work state with a metabolism rate of 730 W:
- Use the same energy conversion: 450 cal * 4.184 J/cal = 1882.8 J
- Calculate time: 1882.8 J / 730 W = 2.58 s
Therefore, while lying in bed all day the person will take approximately 23.535 seconds to consume 450 calories, and when doing heavy work, it will take approximately 2.58 seconds.