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Laws of Conservation

Problem 1.169

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 \(\theta=60^{\circ}\)

Reveal Answer
 (a) m1/m2=1/3; (b) m1/m2=1+2cos⁡θ=2.0 . \text { (a) } m_{1} / m_{2}=1 / 3 ; \text { (b) } m_{1} / m_{2}=1+2 \cos \theta=2.0 \text { . }
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