A car with mass mc = 1153 kg is traveling west through an intersection at a magnitude of velocity of vc = 11 m/s when a truck of mass mt = 1998 kg traveling south at vt = 11 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of μk = 0.5.   (a)  Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j.   (b)  How far, in meters, will the vehicles slide after the collision?

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