If mass $m$ is released when both springs were relaxed, then what is the maximum displacement of point $P$ (junction point of two spring) shown in figure. 

A block of mass $10 \mathrm{kg}$ is hanging over a smooth and light pulley through a light string and the other end of the string is pulled down by a constant force $F$. The kinetic energy of the block increases by $20 \mathrm{J}$ in $1 \mathrm{s}$

Two particles $A$ and $B$ of masses $2 \mathrm{kg}$ and $3 \mathrm{kg}$ moving on a smooth horizontal surface with speed $1.5 \mathrm{m} {\mathrm{s}}^{-1}$ and $2 \mathrm{m} {\mathrm{s}}^{-1}$collide perfectly inelastically, then