Problem C12: Three cars are heading towards each other and will undergo a three-way collision. Two cars have the same mass equal to m0. One is traveling west with a speed of n1, and the other is traveling south with a speed of n2. The third car has a mass of 2m0, and is traveling in a northeasterly direction with a speed of n3. After the collision, all three cars stick together and are at rest. What is the value of n3. Note that n1, n2, and n3 all have the same units of speed.

n1 = n2 = Input n3:
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