A $3\mathrm{.}50-$kg block is sliding on a frictionless surface at $7\mathrm{.}45$ m$/$s toward a horizontal spring of constant $1,770$ N$/$m that is attached to the wall.

$($a$)$ Calculate the kinetic energy of the block.

J

$($b$)$ By how much will the block compress the spring after striking it$?$

m