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Blood flows through a section of a horizontal artery that is partially blocked b

ID: 2257387 • Letter: B

Question

Blood flows through a section of a horizontal artery that is partially blocked by a deposit along the artery wall. As a hemoglobin molecule moves from the narrow region into the wider region, its speed changes from v2 = 0.800 m/s to v1 = 0.548 m/s. What is the change in pressure, P1 - P2, that it experiences? The density of blood is 1060 kg/m3.

Blood flows through a section of a horizontal artery that is partially blocked by a deposit along the artery wall. As a hemoglobin molecule moves from the narrow region into the wider region, its speed changes from v2 = 0.800 m/s to v1 = 0.548 m/s. What is the change in pressure, P1 - P2, that it experiences? The density of blood is 1060 kg/m3.

Explanation / Answer

P1 + 1/2 rho v1^2 = P2 +1/2 rho v2^2


P1-P2 = 0.5*1060*0.8^2 - 0.5*1600*0.548^2=98.96 Pa