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 $\phi $ south of east (as indicated in the figure). The magnitude of the velocity of the two car system immediately after the collision is
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 $\phi $ south of east (as indicated in the figure). The magnitude of the velocity of the two car system immediately after the collision is
- A
$v\sqrt {5 - 4\sin \phi } $
- B
$\frac{v}{2}\sqrt {4 - 5\sin \phi } $
- C
$\frac{v}{2}\sqrt {5 - 4\sin \phi } $
- D
$v\sqrt {4 - 5\sin \phi } $
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