The answers are:
a) [tex]Work=125,923.61J[/tex]
b) [tex]Power=1.46watt[/tex]
Why?
It seems that you forgot to write the questions of the problem, however, in order to help you, I will try to complete it.
The questions are:
a) How much work does the heart do in a day?
b) What is its power output in watts?
So, solving we have:
We need to convert from liter to cubic meters in order to use the given information, so:
[tex]1L=0.001m^{3}\\\\7500L*\frac{0.001m^{3} }{1L}=7.5m^{3}[/tex]
Also, we need to find the mass given the density of the blood.
[tex]1050}\frac{kg}{m^{3}}*7.5m^{3}=7875kg[/tex]
Now, calculating how much work does the heart do in a day, we have:
[tex]Work=Fd=mgh\\\\Work=7875kg*9.81\frac{m}{s^{2}}*1.63m=125,923.61J[/tex]
Then, calculating what is the power output and its horsepower, we have:
[tex]Power=\frac{Work}{time}\\\\Power=\frac{125,923.61J}{86,400s}=1.46watt[/tex]
Have a nice day!
