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Vector Mechanics for Engineers: Dynamics | 10th Edition | ISBN: 9780073398136 | Authors: Ferdinand P. Beer
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An uncontrolled automobile traveling at 65 mph strikes

Chapter 13, Problem 13.33

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QUESTION:

An uncontrolled automobile traveling at 65 mph strikes squarely a highway crash cushion of the type shown in which the automobile is brought to rest by successively crushing steel barrels. The magnitude F of the force required to crush the barrels is shown as a function of the distance x the automobile has moved into the cushion. Knowing that the weight of the automobile is 2250 lb and neglecting the effect of friction, determine (a) the distance the automobile will move into the cushion before it comes to rest, (b) the maximum deceleration of the automobile.

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QUESTION:

An uncontrolled automobile traveling at 65 mph strikes squarely a highway crash cushion of the type shown in which the automobile is brought to rest by successively crushing steel barrels. The magnitude F of the force required to crush the barrels is shown as a function of the distance x the automobile has moved into the cushion. Knowing that the weight of the automobile is 2250 lb and neglecting the effect of friction, determine (a) the distance the automobile will move into the cushion before it comes to rest, (b) the maximum deceleration of the automobile.

ANSWER:

Step-by-step solution Step 1 of 7Draw the initial and final positions of an uncontrolled automobile.(figure 1) Figure 1\n

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