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When a person sits erect, increasing the vertical position

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 78PE Chapter 11

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 78PE

When a person sits erect, increasing the vertical position of their brain by 36.0 cm, the heart must continue to pump blood to the brain at the same rate. (a) What is the gain in gravitational potential energy for 100 mL of blood raised 36.0 cm? (b) What is the drop in pressure, neglecting any losses due to friction? (c) Discuss how the gain in gravitational potential energy and the decrease in pressure are related.

Step-by-Step Solution:

Solution 78PE

Step 1 of 5</p>

If a person sits erect and the brain vertical position raises by , but the heart will pump the blood with same rate. We need to calculate the gain in gravitational potential energy of of blood when raised to a height of . By neglecting the losses by the friction, we need to estimate the drop in pressure. Also, we need to explain how the gain in potential energy and the decrease in pressure are related.

Given data,

Density of blood,

Volume of blood,

Using                         

Using                 

Height,

Using                         

Acceleration due to gravity,

To find,

(a)Gain in potential energy,

(b)Drop in pressure,

Step 2 of 5</p>

(a)

The change in potential energy of the blood is proportional to change in height and is given by,

                                                

Where m is mass , g is acceleration due to gravity and h is height.

Using mass density relation,

                                                

Substituting ,, ,

                                        

        

        

Therefore, the gain in potential energy of the blood is 0.370 J.

                                        

Step 3 of 5</p>

(b)

By neglecting the losses due to friction between blood and vessels. We can calculate the change in pressure , which will be equal to the drop in pressure and is given by,

                                                

Substituting , ,

Using

                                

Therefore, the drop in pressure of the blood is 3700 Pa.

Step 4 of 5

Chapter 11, Problem 78PE is Solved
Step 5 of 5

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

Since the solution to 78PE from 11 chapter was answered, more than 1246 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Blood, pressure, brain, potential, gravitational. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. The full step-by-step solution to problem: 78PE from chapter: 11 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “When a person sits erect, increasing the vertical position of their brain by 36.0 cm, the heart must continue to pump blood to the brain at the same rate. (a) What is the gain in gravitational potential energy for 100 mL of blood raised 36.0 cm? (b) What is the drop in pressure, neglecting any losses due to friction? (c) Discuss how the gain in gravitational potential energy and the decrease in pressure are related.” is broken down into a number of easy to follow steps, and 75 words. This textbook survival guide was created for the textbook: College Physics , edition: 1.

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