The horizontal surface on which the $2\mathrm{.}0$ kg block slides is frictionless. The speed of the block before it touches the spring is $\backslash (6\mathrm{.}0\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ How fast is the block moving at the instant the spring has been compressed $15$ cm $?$ k$=2\mathrm{.}0\backslash (\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ).$

Round your answers to three sig figs.

The elastic potential energy of the block$-$spring system when the block is not yet touching the spring is J$.$

The kinetic energy of the block$-$spring system when the block is not yet touching the spring is

J$.$

The elastic potential energy of the block$-$spring system when the spring is compressed $15$ cm is J$.$

The kinetic energy of the block$-$spring system when the spring is compressed $15$ cm is

The speed of the block when the spring has been compressed $15$ cm is $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash ).$