a $\mathrm{.}340$kg mass slides on a frictionless floor with a speed of $1\mathrm{.}34$m$/$s$.$ the mass strikes and compresses a spring with a force constant of $53\mathrm{.}4$N$/$m$.$ a$)$ how far does the mass travel after contacting the spring before it comes top rest? b$)$ how much time does it take for the spring to stop the mass