Respuesta :
Answer:
The maximum height a person's brain could be above his heart is: 1.28 meter.
Explanation:
We need to know what is the normal blood pressure ours hearts so there is a rate: 120/80 (mmHg) and the average will be: 100 (mmHg) and using the Pascal law that relate pressure, density, gravity and height like:[tex]P_{2} = pgh_{1} - pgh_{2} + P_{1}[/tex], where P is pressure, p is density, g is the gravity acceleration and h is the height. Now we can find the height and delta of pressure will be: P2-P1 = 100 (mmHg), knowing that 1(mmHg) is equal to 133 Pa, we can do the convertion to 13332.2 (Pa), now because the units of Pascal are Newton/(meter^2). Then we solve the formula to get the height: [tex]\frac{P2-P1}{pg} =h[/tex] so we get:[tex]\frac{13332.2}{(1060*9,81)}=Height=1.28(meters).[/tex]
The maximum height a person's brain could be above his heart 1.28 meters.
What is pascal's law?
Pascal's law states that, In a fluid at constant in a closed container a pressure change in on part is transmitted to fluid without loss of any part of the fluid.
It can be given as,
[tex]p_2-p_1=\rho g h_1-\rho g h_2[/tex]
Here, [tex]h[/tex] is the height and [tex]\rho[/tex] is the density.
Given information-
The density of blood is 1060 kg/m 3.
It is known that
The normal blood pressure of a body is 120/80 mm Hg.
The average blood pressure of a body is 100 mm Hg.
Thus the pressure difference is equal to the average blood pressure of the body. thus,
[tex]p_2-p_1=100 \rm mm Hg[/tex]
As there is 133.32 pascals in 1 millilitres of mercury (mm Hg). Thus,
[tex]p_2-p_1=100\times 133.322\rm pa\\p_2-p_1=13332.2\rm pa\\[/tex]
Put the values in the above formula as,
[tex]h=\dfrac{13332.2}{1060\times9.8} \\h=1.28\rm m[/tex]
Hence the maximum height a person's brain could be above his heart 1.28 meters.
Learn more about the pascal's law here;
https://brainly.in/question/60179
