Question

Automobiles are designed with “crumple zones” intended to collapse in a collision. Use the ideas of this chapter to explain why.

Short answer

The crumple zones increases the time of the contact between the outer object and the passenger's zone, so less force is exerted.

Step-by-step solution

Given Information 

We need to find why Automobiles are designed with “crumple zones” intended to collapse in a collision .

Explanation

When an object receives a force for a short time, this force with time is called the impulse,

in force-versus time graph the momentum is same.

Hence, impulse is given by

$impulse=j_x=F_x△t\left(1\right)$

Where $j_x$is impulse.

After solving the equation

$F_x=\frac{j_x}{△t}=\frac{△p}{△t}\left(2\right)$

Force is inversely proportional to time$△t$ . less force is excerted when, the crumple zone increases the time of the contact between the passenger's zone and the colliding object.

the time of contact to the passenger zone decreases in the absence of crumple zone. so force increases and harm the passengers zone.