JEE Advanced2024PhysicsCenter of Mass, Momentum and CollisionActual
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 moves towards t
Correct answer
0
Step-by-step solution
t₀= 2 = T 4 Particles are at extreme position After collision in C-frame using WET, aligned & W _ spring = K & 1 2 k (2 ~b )^2- 1 2 k (2 a )^2=2 1 2 ~m ( a 4 )^2 ( k = spring constant ) & 4 ~kb ^2-4 ka ^2=2 m a ^2 16 2 k m & 4 ~b ^2= 17 4 a ^2 & 4 ~b ^2 a ^2 =4.25 aligned