A $5\mathrm{.}00$kg block is moving at v$0=6\mathrm{.}00$m$/$s along a frictionless, horizontal surface toward a spring with force constant k $=500$N$/$m that attached to a wall. The spring has negligible mass. Find the maximum distance the spring will be compressed. If the spring is to compress by no more than $0\mathrm{.}400$m$,$ what should be the maximum velocity of v$0?$