The normal force usually does no work

The mistake

Counting the normal force in the work–energy budget.

Why it feels right

It's a big force, so it seems like it should transfer energy.

How to catch it

You included W_normal in an energy equation for sliding on a surface.

The first principle

Work is Fd cos θ. The normal force is perpendicular to the sliding displacement, so it does zero work; it redirects the motion without transferring energy.

worked mini-example

Work done by the normal force as a block slides down an incline?

Common wrong move

Some positive amount related to N.

Correct

Zero — N ⟂ displacement.

Test the repair EN-02 · transfer
A bead moves along a fixed, smooth horizontal wire. What work does the wire's normal force do?

Make a fresh prediction before referring to the worked example.