Physics, 30.07.2019 02:30 kaykayhodge

During each heartbeat, about 80 g of blood is pumped into the aorta in approximately 0.2 s. during this time, the blood is accelerated from rest to about 1 m/s. what is the average force on the blood during this time?

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Answer from: mihir50

The average force acting on the blood as it is pumped into the aorta is $\boxed{0.4\text{ N}}$ .

Explanation:

As the blood enters the aorta, the speed of the blood increases from zero to $1\text{ m/s}$ in a time of $0.2\text{ s}$ . It means that the blood moves under the acceleration as it passes through the aorta.

The acceleration produced in a body is due to the force experienced by the particular amount of blood as it enters the aorta.

Write the expression for the acceleration of the blood as its speed increases.

$\boxed{a=\dfrac{v_{f}-v_{i}}{t}}$ ...... (1)

Here, $v_{f}$ is the final velocity of blood, $v_{i}$ is the initial velocity and is the time taken to accelerate.

Substitute the values of the velocities and the time taken by the blood in equation (1).

$a&=\dfrac{1-0}{0.2}\text{ m}\text{/s}^2}\\&=\dfrac{1}{0.2}\text{ m}\text{/s}^2}\\&=5\text{ m}\text{/s}^2}$

The net force acting on the blood is given by:

$F=m\times{a}$ ...... (2)

Substitute the values of mass and acceleration in the above expression.

$\begin{aligned}F&=80\text{ g}\left(\dfrac{1 \text{ kg}}{1000\text{ g}}\right)\times\left(5\text{ m/s}^2\right)\\&=0.08\times5\text{ N}\\&=0.4\text{ N}\end{aligned}$

Therefore, the average force acting on the blood as it is pumped into the aorta is $\boxed{0.4\text{ N}}$ .

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Force and acceleration

Keywords:

heartbeat, average force, aorta, blood, rest, speed up, acceleration, initial speed, final speed, time, accelerated, 80 g, blood is pumped.

Answer from: Quest

the area between the graph and the t axis

Answer from: Quest

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During each heartbeat, about 80 g of blood is pumped into the aorta in approximately 0.2 s. during t...

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