   Chapter 6, Problem 19P

Chapter
Section
Textbook Problem

The front 1.20 m of a 1 400-kg car is designed as a “crumple zone” that collapses to absorb the shock of a collision. If a car traveling 25.0 m/s stops uniformly in 1.20 m, (a) how long does the collision last, (b) what is the magnitude of the average force on the car, and (c) what is the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity.

(a)

To determine
Time of collision.

Explanation

Given Info: Distance travelled by the car is Δx=12.0m , Initial velocity of the car is vi=25.0m/s and final velocity of the car is vf=0

The expression for velocity is

vav=ΔxΔt

• Δx is the distance travelled by the car,
• Δt is the time of collision,
• vav is the average velocity of the car

Use (vf+vi/2) for vav and rewrite the above expression as

Δt=2Δ

(b)

To determine
The magnitude of the average force on the car.

(c)

To determine
Acceleration of the car.

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