79%) Problem 9: A 62Skg person is riding in a car moving at 19.5 m/s (assume thi

Question

79%) Problem 9: A 62Skg person is riding in a car moving at 19.5 m/s (assume this is the positive direction) when the car uns into a bridge abutment. This problem will illustrate why the invention of the airbag dramatically improved the safety of automobles -a Bo% Part (a) Calculate the horizontal component of the average force, m newtons on the person if he is stopped by a padded dashboard that compresses an average of 1.25 cm Grade Summary Potential Submissio Fdash 98. co mempts remaining cotan asin cos0 at . Degrees Radians Submit Hunts-n-deduction perhart Hati remsning- Fedback GAction pr endosk esses zontal component of the average force, n newtons on the person if he s stopped by an airbag that con presa 50% Part (b) Calculate the an a erage of 145 cm

Explanation / Answer

The car in both cases hits at 19.5 m/sec.

a)

KE = ½ * 62.5 * 19.5^2 = 11882.8125 J  

Work = - F ave * 0.0125

F ave * 0.0125 = 11882.8125

F ave = 950625 N

b) It stops in a distance of 14.5cm, (0.145 metre).

F ave * 0.145 = 118825.8125
Fave = 118825.8125 ÷ 0.145 = 819488.36 N.

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