Two particles of masses m and 3m move towards each other on the x-axis with the same initial velocities v1. The particle of mass m is traveling to the left, the particle of 3m to the right. After the bodies make an elastic collision (elastic collision in two dimensions), mass m is scattered at an angle of 90 degrees in the downstream direction with respect to the initial coming direction. (a) Determine the final velocities of both particles. (b) Find the scattering angle of the 3m mass.

Two particles of masses m and 3m move towards each other on the x-axis with the same initial velocities v1. The particle of mass m is traveling to the left, the particle of 3m to the right. After the bodies make an elastic collision (elastic collision in two dimensions), mass m is scattered at an angle of 90 degrees in the downstream direction with respect to the initial coming direction. (a) Determine the final velocities of both particles. (b) Find the scattering angle of the 3m mass.

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