Physics

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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?

  • Physics -

    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.

  • Physics -

    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.

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