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Chapter 11: Q. 58 (page 290)

The stoplight had just changed and a 2000 kg Cadillac had entered the intersection, heading north at 3.0 m/s, when it was struck by a 1000 kg eastbound Volkswagen. The cars stuck together and slid to a halt, leaving skid marks angled 35° north of east. How fast was Volkswagen going just before the impact?

Short Answer

Expert verified

The speed of Volkswagen just before the impact is8.57m/s

Step by step solution

01

Given information

We need to the speed of Volkswagen going just before the impact.

02

Analyze and calculate

Consider that Volkswagen is heading positive direction of x-axisand Cadilac is heading in a positive direction of y-axis. When they crash, their velocity is

Vfinal→=cos35°Vfinali→+sin35°Vfinalj→

From the law of conservation of momentum for xand y-axis:

y-axis:mCadilacvCardilac=sin35°(mCardilac+mVolkswagen)vfinalvfinal=3.49m/s

x-axis:mValkswagenvValkswagen=cos35°(mCardilac+mValkswagen)vfinalvValkswagen=8.57m/s

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