Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Gauge pressure in the fluid surrounding an infant’s brain may rise as high as \[{\rm{85}}{\rm{.0 mm Hg}}\] (\[{\rm{5 to 12 mm Hg}}\] is normal), creating an outward force large enough to make the skull grow abnormally large. (a) Calculate this outward force in newton on each side of an infant’s skull if the effective area of each side is \[{\rm{70 c}}{{\rm{m}}^{\rm{2}}}\] . (b) What is the net force acting on the skull?

(a) outward force acting on each side of the brain is obtained is \[{\rm{79}}{\rm{.3 N}}\].

(b) The net force acting on the skull is obtained as zero.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Conceptual Introduction

The force per unit perpendicular area across which the force is exerted is known as pressure. Pressure is defined as follows in equation form:

\[P = \frac{F}{A}\]

Here \(P\) is the pressure, \(F\) is the force and \(A\) is the area.

Step 2: Calculate the outward force in Newton on each side of an infant’s skull

(a)

The force per unit perpendicular area across which the force is exerted is known as pressure. Pressure is defined as follows in equation form:

\[P = \frac{F}{A}\]

The surface area is \[{\rm{70 c}}{{\rm{m}}^{\rm{2}}}\].

The surface area in meter square is \[{\rm{0}}{\rm{.0070 }}{{\rm{m}}^{\rm{2}}}\].

The pressure exerted by the liquid is \[{\rm{85 mm Hg}}\].

The pressure in Pascal is:

\(\begin{array}{c}P = \frac{{85 \times 1.01 \times 1{0^5}}}{{760}}\\ = 1.129 \times 1{0^4}\,Pa\end{array}\)

Hence, the pressure is \[{\rm{1}}{\rm{.13 \times 1}}{{\rm{0}}^{\rm{4}}}{\rm{ Pa}}\].

By putting all the value into the equation we get:

\[\begin{array}{l}F = P \times A\\F = 1.129 \times 1{0^4}\, \times 0.007\\F = 79.3\,N\end{array}\]

Therefore, outward force acting on each side of the brain is \[{\rm{79}}{\rm{.3 N}}\]. The net force acting on the skull is zero.

Step 3: Calculate the force acting on the skull.

Net force acting on skull is zero because equal force is applied on both sides of the brain, so it cancels out.

Hence the net force on the brain is \(0\,{\rm{N}}\).

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Conceptual Introduction

Step 2: Calculate the outward force in Newton on each side of an infant’s skull

Step 3: Calculate the force acting on the skull.

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Conceptual Introduction

Step 2: Calculate the outward force in Newton on each side of an infant’s skull

Step 3: Calculate the force acting on the skull.

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