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Chapter 11: Q. 19 (page 287)

The parking brake on a 2000kgCadillac has failed, and it is rolling slowly, at 1.0mph, toward a group of small children. Seeing the situation, you realize you have just enough time to drive your 1000kg Volkswagen head-on into the Cadillac and save the children. With what speed should you impact the Cadillac to bring it to a halt?

Short Answer

Expert verified

The speed will be2mph.

Step by step solution

01

Given information

We have given,

speed of Cadillac =1mph

Mass of Cadillac=2000kg

Mass of Volkswagen =1000kg

We have to find the speed of Volkswagen.

02

Simplify

According to conservation of momentum, the initial momentum of the system will be same after the Collison.

PI=PFMomentumofCadillac=MomentumofVolkswagen(2000kg脳1mph)+(1000kg脳Vmph)=(1000+2000)脳0mphV=2mph

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