Question $2(4$ points$)$

The $2\mathrm{.}44-kg$ plunger is released from rest in the

position shown where the spring of stiffness $k=500$

$\frac{N}{m}$ has been compressed to one$-$half its

uncompressed length of $200$ mm $.$ Calculate the

maximum height h above the starting position reached

by the plunger. Give your answer in mm $.$