Question

Suppose a person eats 2000 food calories on average per day. Note that 1 calorie= 4.184 joules and a food calorie = 1000 calories = 4184 joules. What is the average power of this intake? show work

Answer 1

Answer: $0.097\text{\ J/s}$

Step-by-step explanation:

Given :  1 calorie= 4.184 joules

A food calorie = 1000 calories = 4184 joules.

Then, 2000 food = $2\times4184=8368$ joules   [By Unitary method]

We know that : $\text{Power}=\dfrac{\text{Energy}}{\text{Time}}$

Since 1 day = 24 hours

and 1 hour = 3600 seconds

Then, 24 hours = $24\cdot3600=86400$ seconds.

Now,   $\text{Power}=\dfrac{8368}{86400}$

$=0.0968518518519\approx0.097\text{\ J/s}$

Hence, the average power of this intake = $0.097\text{\ J/s}$