Two identical cubes of mass `1.5` M each are kept almost touching the faces on a smooth horizontal surface On top of them we neatly placed a smooth ball of mass M, which begins to move vertically downwards, pushing the cubes sideways. Find the velocity of the ball `(in m//s)` just before impact on the horizontal surface The initial velocity of the ball is negligible Radius of the ball is 5m side of cube `2.5` m

Answer

`5 m//s`

Explanation

A long normal their velocity are same

`v_(1)costheta=v sintheta`
at instant of touching ground
`costheta=2.5/5=1/2 Rightarrow theta=60^(@) Rightarrow v_(1)/2=(vsqrt(3))/2`
`w_(g)=Deltak Rightarrow mgxx2.5=1/2mv_(1)^(2) Rightarrow 25=v_(1)^(2)/2+3/2xxv_(1)^(2)/3 Rightarrow v_(1) =5 m//s`