Respuesta :
96.92 watts
Explanation
Step 1
find the energy of a day( 24 hours)
to solve this we can use a rule of three, then let x represents the energy in 2000 calories
if
[tex]\begin{gathered} 1\text{ food calorie}\Rightarrow4.187k\text{ J} \\ \text{then} \\ 2000\text{ calories}\Rightarrow x \end{gathered}[/tex]so, the proportion is
[tex]\frac{1}{4.187}=\frac{2000}{x}[/tex]solve for x
[tex]\begin{gathered} \frac{1}{4.187kj}=\frac{2000}{x} \\ \text{cross multiply} \\ 1\cdot x=2000\cdot4.187 \\ x=8374k\text{ j} \\ x=8374000 \end{gathered}[/tex]hence, So a 2000 calorie diet corresponds to about 8.37 million joules
Step 2
now, we need to find the power (power is the amount of energy transferred or converted per unit time)
[tex]Power(watts)=\frac{\text{work done(Joules)}}{\text{time(seconds)}}[/tex]then ,let
work done= energy= 8374000 Joules
-we need convert hours into seconds, to do this, just multiply the number of hours by 3600 to obtain the time in seconds, so
[tex]24\text{ h}\Rightarrow24\cdot3600\text{ sec}\Rightarrow86400\text{ seconds}[/tex]now, replace in the formula
[tex]\begin{gathered} Power(watts)=\frac{\text{work done(Joules)}}{\text{time(seconds)}} \\ Power(watts)=\frac{8374000\text{ Joules}}{86400\text{ seconds}} \\ Power(watts)=96.92\text{ watts} \end{gathered}[/tex]therefore, the answer is 96.92 watts
I hope this helps you
