A person who is properly constrainedby an over-the-shoulder seat belt has a good

Question

A person who is properly constrainedby an over-the-shoulder seat belt has a good chance of surviving acar collision if the deceleration does not exceed 27.0 "g's"(1.00 g= 9.80m/s2). Assuming uniform deceleration of thisvalue, calculate the distance over which the front end of the carmust be designed to collapse if a crash brings the car to rest from110km/hr. A person who is properly constrainedby an over-the-shoulder seat belt has a good chance of surviving acar collision if the deceleration does not exceed 27.0 "g's"(1.00 g= 9.80m/s2). Assuming uniform deceleration of thisvalue, calculate the distance over which the front end of the carmust be designed to collapse if a crash brings the car to rest from110km/hr.

Explanation / Answer

a = v / t      t = v / (27 * 9.8) v = 110 * 10E3 / 3.6 * 10E3 = 30.6 m/s t = 30.6 / (27 * 9.8) = .116 sec s = v0 t - 1/2 a t2 s = 30.6 * .116 - 1/2 * 27 * 9.8 * .1162 = 1.77m Or s = v2 / (2 a) = 30.62 / (2 * 9.8 *27) = 1.77 m s = 30.6 * .116 - 1/2 * 27 * 9.8 * .1162 = 1.77m Or s = v2 / (2 a) = 30.62 / (2 * 9.8 *27) = 1.77 m

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