Physics

Forgetting Energy Lost to Friction

Students set mechanical energy before equal to mechanical energy after even when friction is doing work.

Quick check

Why students make it

They remember that energy is conserved and treat it like mechanical energy is always conserved. Friction converts some mechanical energy into thermal energy, so the object has less mechanical energy later.

The rule done right

Use Ki+Ui+Wfric=Kf+UfK_i + U_i + W_{\mathrm{fric}} = K_f + U_f, where WfricW_{\mathrm{fric}} is negative. If you use energy lost as a positive amount, write Ki+Ui=Kf+Uf+ElostK_i + U_i = K_f + U_f + E_{\mathrm{lost}}.