List of top Physics Questions on Elastic and inelastic collisions asked in IIT JAM PH

A mass \( m \) is connected to a massless spring of spring constant \( k \), which is fixed to a wall. Another mass \( 2m \), having kinetic energy \( E \), collides collinearly with the mass \( m \) completely inelastically (see figure). The entire setup is placed on a frictionless floor. The maximum compression of the spring is: 

A particle \( A \) of mass \( m \) is moving with a velocity \( v_A \), and collides elastically with a particle \( B \), of mass \( 2m \). Particle \( B \) is initially at rest. After collision, \( A \) moves with a velocity \( v_A' \). If \( v_B \) is the final speed of \( B \), then \( v_A'^2 = k v_B^2 \). The value of \( k \) is ...............