Push hard against a wall that does not move. You feel exhausted — yet in the scientific sense you may have done no work at all. How?
- If the force is zero (\(F = 0\)), no work is done.
- If there is no displacement (\(s = 0\)), no work is done — e.g. pushing a rigid wall. You feel tired because your muscles use internal energy, but no work is done on the wall.
- If the force is perpendicular to the displacement , the work done by that force is zero (there is no displacement in the direction of the force).
- When a girl carries a box while walking, she pushes up to balance its weight while the box moves horizontally. Force and displacement are perpendicular, so this force does no work on the box.
- In higher grades you will learn how to find the work done when force and displacement are at an angle to each other.