A wedge of mass `M = 2m` rests on a smooth horizontal plane. A small block of mass m rests over it at left end A as shown in figure. A sharp impulse is applied on the block, due to which it starts moving to the right with velocity `v_(0) = 6 ms^(-1)`. At highest point of its trahectory, the block collides with a particle of same mass m moving vertically downwards with velcoity `v = 2 ms^(-1)` and gets stuck with it. If the combined body lands at the end point A of body of mass M, calculate length `l`. Neglect frection `(g = 10 ms^(-2))`.

Answer

40 cm