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larisa86
3 months ago
11

If you are lying down and stand up quickly, you can get dizzy or feel faint. This is because the blood vessels don't have time t

o expand to compensate for the blood pressure drop. If your brain is 0.4 m higher than your heart when you are standing, how much lower is your blood pressure at your brain than it is at your heart
Physics
1 answer:
Sav [3.1K]3 months ago
3 0

Complete Question

Standing up quickly from a lying position may lead to dizziness or faintness. This occurs because the blood vessels cannot dilate sufficiently to adjust for the sudden drop in blood pressure. If your brain is 0.4 m above your heart when you are upright, what is the difference in blood pressure between these two points? The density of blood plasma is approximately 1025 kg/m3, and the typical systolic blood pressure at the heart is 120 mm of Hg (which is equal to 0.16 atm, 16 kP, or 1.6 × 104 N/m2).

Answer:

The pressure at the brain is P_b = 89.872 \ mm \ of \ Hg

Explanation:

It is generally represented mathematically as

                  P = \rho gh

By substituting 1025 kg/m^3 for \rho (the density), 9.8 m/s^2 for g (acceleration due to gravity), and 0.4m for h (height)

We can express the pressure difference between the brain and the heart as

              P = 1025 * 9.8 *0.4

                  = 4018 N/m^2

The blood pressure at the heart is given as

               P_h=120 mm of Hg = 120 * 133 = 1.59*10^3Pa

Now, the calculated pressure at the brain becomes

                 P_b = P_h - P

                     = 1.596*10^4 - 4018

                     = 11982 N/m^2

                      P_b= \frac{11982}{133} = 89.872 \ mm \ of \ Hg

   

     

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