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    Inelastic Collision in 2D

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    A 1200 kg car is moving east at 30 m/s and collides with a 3600 kg truck moving at 20 m/s in a direction 60 degrees north of east. The vehicles interlock and move off together. Find their velocity (magnitude and direction).

    OK, I used conservation of linear momentum and said that the final velocities were equal. Dividing the y-component by the x-component I got that the angle is 41 degrees and then vf=19.84 m/s. Is this correct? To get a magnitude, do I have to say sqrt of 19.84^2 + 19.84^2 since both vehicles have the same final velocity? The magnitude and direction stuff confuses me.

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