Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle φ south of east (as indicated in the figure). After the collision, the two-car system travels at speed vfinal at an angle θ east of north. (a) Find the initial momentum of the east-west components. Express your answer in terms of m, v, and φ. (b) Find the initial momentum of the north-south components. Express your answer in terms of m, v, and φ. (c) Find the final momentum of the east-west components. Express your answer in terms of m, vfinal, and θ. (d) Find the final momentum of the north-south components. Express your answer in terms of m, vfinal, and θ. (e) Find the magnitude of the speed vfinal. Express your answer in terms of v and φ. Hint: Remember A = pAx + Ay and sin^2(β) + cos^2(β).