Problem C12:
Three cars are heading towards each other and will undergo a three-way collision.
Two cars have the same mass equal to m_{0}. One is traveling west with
a speed of n_{1}, and the other is traveling south with a speed of
n_{2}. The third car has a mass of 2m_{0}, and is traveling in
a northeasterly direction with a speed of n_{3}. After the collision,
all three cars stick together and are at rest. What is the value of
n_{3}. Note that n_{1}, n_{2}, and n_{3} all
have the same units of speed.

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