A $20-$kg block on a horizontal surface is attached to a light spring $($force constant $=8\mathrm{.}0$ kN$/$m$).$ The block is pulled $10$ cm to the right from its equilibrium position and released from rest. When the block has moved $2\mathrm{.}0$ cm toward its equilibrium position, its kinetic energy is $13$ J$.$ How much work is done by the frictional force on the block as it moves the $2\mathrm{.}0$ cm$?$

Question $9$ options:

$-2\mathrm{.}5$ J

$-3\mathrm{.}0$ J

$-14$ J

$-1\mathrm{.}4$ J

$-1\mathrm{.}9$ J