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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 2 / Problem 23E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Solved: BIO Automobile Air Bags. The human body can

Chapter 2, Problem 23E

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QUESTION:

Problem 23E

BIO Automobile Air Bags. The human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250 m/s2. If you are in an automobile accident with an initial speed of 105 km/h (65 mi/h) and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash?

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QUESTION:

Problem 23E

BIO Automobile Air Bags. The human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250 m/s2. If you are in an automobile accident with an initial speed of 105 km/h (65 mi/h) and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash?

ANSWER:

Solution 23E

Step 1

If the initial velocity of an object is $u$ and the final velocity is $v$ and the acceleration of the object is $a$ , then the distance $s$ travelled by the object is given by

Now if the final velocity $v=0$ then the above equation will become

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