A 7150 kg truck traveling east at 5 m/s collides with a 1700 kg car traveling 300 south of west at 20 m/s.   After the collision at what angle do the two vehicles move.   Express you answer in degrees from the positive x-axis.  Use a coordinate where north is the +y axis and east is the +x axis.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A 7150 kg truck traveling east at 5 m/s collides with a 1700 kg car traveling 300 south of west at 20 m/s.   After the collision at what angle do the two vehicles move.   Express you answer in degrees from the positive x-axis.  Use a coordinate where north is the +y axis and east is the +x axis.

Expert Solution
Step 1

Given quantities:

mass of truck (M) = 7150 kg

mass of car (m) = 1700 kg

 

Let, the initial velocity of truck be denoted as 'v1' , the initial velocity of car be denoted by 'v2' and the final velocity of truck and car combined be 'V' 

Using the co-ordinate axis as mentioned in the question, the velocities in component form can be written as :

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