Question: Particle 1 experiences a perfectly elastic collision with a stationary particle 2. Determine their mass ratio, if (a) After a head-on collision the particles fly

Particle 1 experiences a perfectly elastic collision with a stationary particle 2. Determine their mass ratio, if
(a) After a head-on collision the particles fly apart in the opposite directions with equal velocities;
(b) The particles fly apart symmetrically relative to the initial motion direction of particle 1 with the angle of divergence θ = 60°.

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