The $1\mathrm{.}3-kg$ block slides along a smooth plane and strikes a nonlinear spring with a speed of $v=4\frac{m}{s}.$ The spring is termed "nonlinear" because it has a resistance of $F_s=k{s}^2,$ where $k=900\frac{N}{m^2}.$

Part A

Determine the speed of the block after it has compressed the spring $s=0\mathrm{.}2m.$

Express your answer to three significant figures and include the appropriate units.