Calculate the amount of work (in joules) required for your heart to pump one 0.961 liter of blood a vertical distance of 0.314 meters from your heart to your head. assume that the density of blood is 1.06 g/cm3. you will need the conversion 1 \text{ml} = 1\text{cm}^{3}1ml=1cm 3

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:, 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 (), 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:. Then using the work's equation and replacing the value obtain for the pressure and the volume we get:.

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