No Work?

A small block of mass $1\text{ kg}$ is kept on a rough inclined wedge of inclination $45^\circ$ fixed in an elevator. The elevator goes up with a uniform velocity $v=2 \text{ m/s}$ and the block does not slide on the wedge. Find the work done by the force of friction on the block in $1\text{ s}$ .

• Answer in SI units.

• Assume $g= 10\text{ m/s}^{2}$ .