Two cars, both of mass m, collide and stick together. Prior to the collision, one car...

Question

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 v final at an angle θ east of north. (Figure 1)

Find the speed v final of the joined cars after the collision.

Express your answer in terms of v and ϕ.

[su_box title="♦ Relevant knowledge" box_color="#2d6ff7" radius="1"]

When three or four objects moving at different speeds speed come into contact for a brief time, they undergo adjustments in their speeds and this phenomenon is referred to by the term collision. Inelastic, elastic and totally inelastic are three types of collisions.[/su_box]

Sophia Gagnon · Accepted Answer

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