Question

The left side of the heart creates a pressure of 120 mm Hg by exerting a force directly on the blood over an effective area of 15.0 cm2. What force does it exert to accomplish this

Answer 1

The force that it exerts is about 24.0 N

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Further explanation

Let's recall Hydrostatic Pressure formula as follows:

$\boxed{ P = \rho g h}$

where:

P = hydrosatic pressure ( Pa )

ρ = density of  fluid ( kg/m³ )

g = gravitational acceleration ( m/s² )

h = height of a column of liquid ( m )

Let us now tackle the problem!

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Given:

blood pressure = P = 120 mmHg = 0.12 mHg

effective area = A = 15.0 cm² = 15.0 × 10⁻⁴ m²

density of mercury = ρ = 13600 kg/m³

gravitational acceleration = g = 9.8 m/s²

Asked:

force = ?

Solution:

We will use this following formula to solve this problem:

$P = F \div A$

$F = P A$

$F = \rho g h A$

$F = 13600 \times 9.8 \times 0.12 \times ( 15.0 \times 10^{-4} )$

$F \approx 24.0 \texttt{ N}$

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Conclusion :

The force that it exerts is about 24.0 N

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Learn more

• Buoyant Force : brainly.com/question/13922022

• Kinetic Energy : brainly.com/question/692781

• Volume of Gas : brainly.com/question/12893622

• Impulse : brainly.com/question/12855855
• Gravity : brainly.com/question/1724648

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Answer details

Grade: High School

Subject: Physics

Chapter: Pressure

Answer 2

Answer:

23.99N

Explanation:

Given:

Pressure created by the heart = 120mm of hg

converting the pressure into the standard unit of N/m²

1mm of hg = $\frac{1}{760}atm=\frac{1}{760}\times 1.013\times10^5N/m^2$

now, 120 mm of hg in N/m² will be

120mm of hg = $\frac{12}{760}\times 1.013\times10^5N/m^2$

also

given effective area = 15.0 cm² = 15 × 10⁻⁴m²

Now,

Force = Pressure × Area

thus,

Force exerted will be =  $\frac{120}{760}\times 1.013\times10^5N/m^2$ ×  15 × 10⁻⁴m²

or

Force exerted will be = 23.99N