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JEE Advanced2024PhysicsCenter of Mass, Momentum and CollisionActual

Paragraph II: Two particles, 1 and 2 , each of mass m , are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at x₀ , are oscillating with amplitude a and angular frequency . Thus, their positions at time t are given by x₁(t)= (x₀+d )+a t and x₂(t)= (x₀-d )-a t , respectively, where d>2 a . Particle 3 of mass m m

Correct answer

0

Step-by-step solution

At t ₀=0 Before collision After collision aligned v _ CM & = m a 2 + m a m + m v _ CM & = 3 a 4 V _ CM a & = 3 4 V _ CM a & =0.75 aligned

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