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 Homework Statement:

On a freeway, a truck of 3500 kg collides with an automobile of 1500 kg that is trying to cut diagonally
across the path of the truck. Just before the collision, the truck was traveling due north at 70 km/h, and the
automobile was traveling at 30° west of north at 100 km/h. After the collision, the vehicles remain joined
together.
(a) What is the velocity (magnitude and direction) of the joined vehicles immediately after the collision?
(b) How much kinetic energy is lost during the collision?
IDK the exact angle or the direction of the wreckage, I am not sure about my answers.
 Relevant Equations:
 m1v1+m2v2=(m1+m2)v'
Xcomp: [(1500kg)(100km/h)(sin(30))+(3500kg)(70km/h)(cos(90))]/5000kg = 15km/h
ycomp: [(1500kg)(100km/h)(cos(30))+(350(70km/h)(sin(90))]/5000kg = 74.98km/h
ycomp: [(1500kg)(100km/h)(cos(30))+(350(70km/h)(sin(90))]/5000kg = 74.98km/h