Figure shows a small block of mass m which is started with a speed v on the horizontal part of the bigger block of mas m placed on a horizontal floor. The curved part of the surface shown is semicircular. All the surfaces are frictionless. Find the speed of the bigger block when the smaller block reaches the point A of the surface.

Explanation

A small block of mass m which is started with a velocity V on the horizontal part of the biger block of mass M placed on a horizontal floor.
Since the small body of mass mis started with a velocity V in the horizontal edirection, so the total initial momentum at tehinitil position in the horizontl bigger block in From L.C.K m.
`mv+MxxO=(m+M)V`
` rarr V=(mv)/(m+M)`