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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 to 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? The density of blood plasma is about 1025 kg/m3 and suppose your maximum (systolic) pressure of the blood at the heart is 116.4 mm of Hg (Note that 120 mm of Hg = 16 kP = 1.6 x 104 N/m2). Since most doctors still use mm of Hg, give your result in those units.

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