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If you have a sphere of 10kg, travelling at an initial velocity v. And this sphere collides with two other spheres, each of 5kg. One shoots off at an angle of 60 degrees from the normal, and one at 45 degrees from the normal. There sphere that fires off at 60 degrees now travels at 4 m/s. How can I calculate the initial velocity of the 10 kg sphere?

All momentum is conserved.

Cheers