Solve the following :

Question:

Figure shows a small block of mass $m$ which is started with a speed of $v$ 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 $\mathrm{A}$ of the surface.

Solution:

Use C.O.L.M

$m v=(M+m) v^{\prime \prime} \Rightarrow v^{\prime}=\frac{m v}{M+m}$

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