Arteriosclerotic plaques forming on the inner walls of arteries can decrease the

Question

Arteriosclerotic plaques forming on the inner walls of arteries can decrease the effective cross-sectional area of an artery. Even small changes in the effective area of an artery can lead to very large changes in the blood pressure in the artery and possibly to the collapse of the blood vessel.
Imagine a healthy artery, with blood flow velocity of 0.14 m/s and mass per unit volume of p=1050kg^3 . The kinetic energy per unit volume of blood is given by Ko=1/2pv^2

Relative to its initial, healthy state, by what factor does the velocity of blood increase as the blood passes through this blockage?

Explanation / Answer

blood pressure increases P=F/A due to deposition area decreases hence pressure increases

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