After a totally inelastic collision, two objects of the same mass and same initial speeds are found to move together at half of their initial speeds. The angle between the initial velocities of the objects is

Let angle between initial velocities be π-θ and the situation is as shown in Fig. Conserve the momentum along X-and Y-directions.mv-mv cosθ = 2mv2 cosα, for X-axismv sinθ = 2mv2 sinα, for Y-axisSolving above equations, θ = 60° Required angle = π - 60° = 120°