A 2000-kg car traveling at 90 km/h crashes into an immovableconcrete wall. ( a )

Question

A 2000-kg car traveling at 90 km/h crashes into an immovableconcrete wall. (a) Estimate the time ofcollision, assuming that the center of the car travels halfwayto the wall with constant acceleration. (Use any plausiblelength for the car.) (b) Estimate the averageforce exerted by the wall on the car.

Explanation / Answer

the car whose mass is 200 kg is small car=> length isabout L = 3 m => center of car move d = L/4 = 0.75 m the acceleration : a = V^2/2d = 4.167m/s2     (V = 90 km/h = > V = 25m/s) => the time of collision : t = V/a = 6s => average force : F*t = m*V => F = 8333.33 N

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