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A car with a mass of 1700 kg is traveling directly northeast (45 degrees between north and east) at a speed of 14m/s (31mph), and collides with a smaller car with a mass of 1300kg that is traveling directly south at a speed of 18m/s (40mph). The two cars stick together during the collision. With what speed and direction does the tangled mess of metal move right after the collision?

Question ID
435632

Created
April 2, 2011 9:42pm UTC

Rating
0

URL
https://questions.llc/questions/435632

Answers
2

Views
2102

2 answers

  1. do conservation of momentum in NS, and EW directions. Notice the final velocity then will be a vector you can determine the angle and magnitude from.

    Answer ID
    524351

    Created
    April 2, 2011 9:52pm UTC

    Rating
    -1

    URL

  2. M1*V1 + M2*V2 = M1*V + M2*V.
    1700*14[45o] + 1300*18[270o]=1700V+1300V
    Divide both sides by 100:
    17*14[45] + 13*18[270] = 17V + 13V.
    238[45] + 234[270] = 30V.
    168.3+168.3i -234i = 30V.
    168.3 - 65.7i = 30V.
    180.7[-21.3o] = 30V.
    V = 6.0 m/s[-21.3] = 6.0m/s[21.3o] S. of
    E.

    Answer ID
    1241031

    Created
    July 27, 2015 5:31pm UTC

    Rating
    -2

    URL

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