Figure shows a small block of mass 'm' which is started with a speed 'v' on the horizontal part of the bigger block of mass '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.
towards left
A small block of mass m which is started with a velocity V on the horizontal part of the bigger block of mass M placed on a horizontal floor.
Since the small body of mass m is started with a velocity V in the horizontal direction, so the total initial momentum at the initial position in the horizontal direction will remain same as the total final momentum at the point A on the bigger block in the horizontal direction.
From L.C.M m:
mv+M×O=(m+M)v′⇒v′=mvM+m