Respuesta :
The average force acting on the blood as it is pumped into the aorta is [tex]\boxed{0.4\text{ N}}[/tex].
Explanation:
As the blood enters the aorta, the speed of the blood increases from zero to [tex]1\text{ m/s}[/tex] in a time of [tex]0.2\text{ s}[/tex]. 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.
[tex]\boxed{a=\dfrac{v_{f}-v_{i}}{t}}[/tex] ...... (1)
Here, [tex]v_{f}[/tex] is the final velocity of blood, [tex]v_{i}[/tex] is the initial velocity and [tex]t[/tex] is the time taken to accelerate.
Substitute the values of the velocities and the time taken by the blood in equation (1).
[tex]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}[/tex]
The net force acting on the blood is given by:
[tex]F=m\times{a}[/tex] ...... (2)
Substitute the values of mass and acceleration in the above expression.
[tex]\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}[/tex]
Therefore, the average force acting on the blood as it is pumped into the aorta is [tex]\boxed{0.4\text{ N}}[/tex].
Learn More:
1. what type of mirror do dentist use https://brainly.com/question/997618
2. forces of attraction limit the motion of particles most in https://brainly.com/question/947434
3. how long to walk 2000 miles https://brainly.com/question/3785992
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.
The average force on the blood during the time of heartbeat is 0.4 N.
The given parameters;
- mass of the blood, m = 80 g = 0.08 kg
- time of motion, t = 0.2 s
- velocity of the blood, v = 1 m/s
The average force on the blood during the time of heartbeat is calculated by applying Newton's second law of motion;
F = ma
[tex]F = \frac{mv}{t} \\\\F = \frac{0.08 \times 1}{0.2} \\\\F = 0.4 \ N[/tex]
Thus, the average force on the blood during the time of heartbeat is 0.4 N.
Learn more here:https://brainly.com/question/19887955
