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 \(g= 10\text{ m/s}^{2}\).

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