Is My Interpretation of the Left Ventricle Blood Acceleration Problem Correct?

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Homework Help Overview

The discussion revolves around a physics problem related to the acceleration of blood in the left ventricle of the heart. The original poster presents a scenario where 88 grams of blood is accelerated from rest to a speed of 4.5 m/s over a contraction period of 0.20 seconds. The poster seeks clarification on their calculations for acceleration and force, which were marked incorrect by their professor.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate acceleration and force using the provided data but questions the validity of their interpretation of the problem statement. They express confusion about the timing of the blood's acceleration and whether the final speed is achievable within the given timeframe.

Discussion Status

Some participants support the original poster's interpretation of the problem and question the professor's feedback. Others express skepticism about the plausibility of the final velocity stated in the problem, indicating a divergence in understanding the physical context.

Contextual Notes

The professor has not provided a complete solution or explanation, leading to uncertainty among participants. There is a concern regarding the realism of the given velocity of 4.5 m/s for blood flow in the heart.

ryant14
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Homework Statement


The lower chamber of the heart, (the left ventricle) pumps blood into aorta. The left ventricular contraction lasts 0.20 seconds, during which time a mass of 88 grams of blood is accelerated from rest to a speed of about 4.5 m/s. Find the acceleration & Force.

known:
V final - 4.5 m/s
V initial - 0 m/s
Mass - 88 grams or 0.088 kg
Time it takes for contraction - 0.20 s

Homework Equations


a = (vf - vi)/t
Summation of horiontal force (F) = ma

The Attempt at a Solution



a = (4.5 m/s - 0 m/s) / 0.20
= 22.5 m/s^2

F= ma
= (0.088kg)(22.5 m/s^2)

These were my answers but my professor marked it wrong. according to him the acceleration should not exceed than 4.5 m/s^2 and the Force must not be greater than 1 Newton.

are my interpretations to this problem wrong?

Is it correct that I've used 0.20 seconds as a time to get the acceleration?

I am confused about this, "The left ventricular contraction lasts 0.20 seconds, during which time a mass of 88 grams of blood is accelerated from rest to a speed of about 4.5 m/s."

What does this mean? Is it right that the 88 g of blood obtains 4.5 m/s of final speed at 0.20 seconds or not? Or after 0.20 seconds, the blood starts moving?

Please help...

Thanks in advance :)
 
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I don't see anything wrong with your interpretation of the problem or with your solution.

Did the professor provide a complete solution of his own?
 
Yes, my prof has its own solution to this problem but he didn't discuss it in our class. He said this problem may appear in the next test. He just said that no one in his class got it right except his bright student last year.
 
I'm very suspicious about the data given.A blood velocity of 4.5m/s? That seems too high.
 
Yes, you're right, 4.5 m/s as a final velocity doesn't seems to happen in reality. But this is the velocity stated in this problem.
 

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