Answer:
The amount of work required for the heart is: 3.14 Joules
Explanation:
We need to remember that the work done for a pump with constant pressure will be:[tex]W=P*(V_{2}- V_{1})[/tex], where W is the work, P is pressure and V is volume (change of the volume). Now we need to find the pressure. Using the Pascal's law ([tex]P=p*g*h[/tex]), where P is pressure, p is density, g is the gravity and h is the height of the fluid's column and replacing the values given, we can find the pressure:[tex]P_{blood} =1060*9.81*0.314=3265(N/m^{2})[/tex]. Then using the work's equation and replacing the value obtain for the pressure and the volume we get:[tex]W_{heart}=P_{blood} *V_{heart(pump)} =3265*0.000961=3.14(Joules)[/tex].
