The front of a 1,500 kg car is designed as a \"crumple zone\" thatcollapses to a

Question

The front of a 1,500 kg car is designed as a "crumple zone" thatcollapses to absorb the shock of a collision. If a cartravelling 35.0 m/s stops uniformly in 1.65 m,


a) how long does the collision last?

b) what is the magnitude of the average force
c) what is the acceleration of the car? Express your answeras a multiple of the accleration of gravity. (For example,"2g".)

a) how long does the collision last? b) what is the magnitude of the average force
c) what is the acceleration of the car? Express your answeras a multiple of the accleration of gravity. (For example,"2g".)

Explanation / Answer

a) We know that               time = distance / velocity = 1.65 / 35 = 0.0471 s b)We know that            Workdone by the car = change in its kinetic energy                   F.x = 0.5 mv2           ==> F =mv2 / x = 1500 * 35 * 35 / 1.65                     = 1113636.36N c) a = F / m = 742.42 m/s2 = 75.75 g

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