I am confused in work done against friction. Let $F$ be the friction when a big stone is pushed by person on ground and $T$ be the component of force applied by a person in the direction of displacement $S$.
I think $T$ should be greater than $F$, otherwise stone will not move. Then $T$ is not equal to $F$. But why do we check work done against friction as $FS$? I mean why isn't it $TS$?