The packaging for an instrument can be modeled as shown in Figure in which the instrument of mass $m$ is restrained by springs of total stiffness $k$ inside a container; $m=4\mathrm{.}5kg$ and $k=9000\frac{N}{m}.$ The container is accidentally dropped from a height of $m$ above the ground. Assuming that it does not bounce on contact

a$)$ Determine the maximum deformation $($cm$)$ of the packaging within the box

b$)$ Determine the maximum acceleration $(\frac{m}{sec2})$ of the instrument