Question

From below 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 friction less. Find the speed of the bigger block when the smaller block reaches the point A of the surface.

Answer 1

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 bigger block in the horizontal direction.

From L.C.K.m.

$mv+M\times O=(m+M)V$

$\Rightarrow V=\frac{mv}{m+M}$