When a person sits erect, increasing the vertical position of their brain by 38.

Question

When a person sits erect, increasing the vertical position of their brain by 38.5cm, the heart must continue to pump blood to the brain at the same rate. a) What is the gain in gravitational potential energy, in joules, for 95mL of blood (with density 1050 kg/m^2) raised 38.5 cm? b) what is the change in pressure, in pascals, of the blood at the brain due to sitting up, neglecting any losses due to friction? When a person sits erect, increasing the vertical position of their brain by 38.5cm, the heart must continue to pump blood to the brain at the same rate. a) What is the gain in gravitational potential energy, in joules, for 95mL of blood (with density 1050 kg/m^2) raised 38.5 cm? b) what is the change in pressure, in pascals, of the blood at the brain due to sitting up, neglecting any losses due to friction? a) What is the gain in gravitational potential energy, in joules, for 95mL of blood (with density 1050 kg/m^2) raised 38.5 cm? b) what is the change in pressure, in pascals, of the blood at the brain due to sitting up, neglecting any losses due to friction?

Explanation / Answer

(a)

potential energy

PE = m g h

= (99.75) (9.8) (0.385)

= 376.356 J

(b)

the change in p[ressure will be

P - Po = rho g h

where Po is the atmospheric pressure = 101325 Pa

P - (101325) = (1050) (9.8) (0.385)

P = (3961.65) + (101325)  

= 105286 Pa

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