Question

The relationship between energy (E), power (P), and time (t) is

P = E/t
One unit of energy is the kilocalorie, also called the Calorie (with a capital C, which is 1000 calories with a small c!). Suppose your body uses 2000 Calories of energy in one day. What is the power of your body? Include units in your work.

Answer 1

The avarage power of the body is 96.898 watts.

Step-by-step explanation:

We must notice that given definition of power implies a constant consumption of energy, so that we should assume that energy consumption is constant. A Calorie is equal to 4186 joules. If we know that
`E = 2000\,Cal` and
`t = 1\,day`, the power of body, measured in watts, is:

`P = ((2000\,Cal)\cdot \left(4186\,(J)/(Cal) \right))/((1\,day)\cdot \left(24\,(h)/(day) \right)\cdot \left(3600\,(s)/(h) \right))`

`P = 96.898\,W`

The avarage power of the body is 96.898 watts.