You are the design engineer in charge of the crashworthiness of new automobile models. Cars are tested by smashing them into fixed, massive barriers at 56 km/h . A new model of mass 1800 kg takes 0.14 s from the time of impact until it is brought to rest.

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Answer:

Those kind of question have the force and the acceleration as a questions

[tex]a=111.11m/s^2[/tex]

[tex]F=200kN[/tex]

Explanation:

Calculate the force exerted on the car by the barrier and the acceleration of the motion.

[tex]v=56 \frac{km}{h}*\frac{1000m}{1km}*\frac{1h}{3600s}=15.56m/s[/tex]

[tex]F=m*a[/tex]

Acceleration is the derive of the velocity so:

[tex]a=\frac{dx}{dt}=\frac{15.56m/s}{0.14s}=111.11m/s^2[/tex]

Now replacing to find force

[tex]F=1800kg*111.11m/s^2[/tex]

[tex]F=200kN[/tex]

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