Question

Figure 1.40 shows a flat car of mass $M$ on a frictionless road. A small massless wedge is fitted on it as shown. A small ball of mass $m$ is released from the top of the wedge, it slides over it and falls in the ball. Find the distance the flat car moves till the ball gets into the hole.

Answer 1

$Mv+mu=\left(conservationofmomentum\right)-v=\frac{-mu}{M}\frac{D}{t}=\frac{-m}{t}\frac{d}{m}D=\frac{-md}{M}=\frac{-m⋏}{t}Hence,(⋏\to distancetrovelledbytheballD\to Distancetravelledbythecar)$