If you push a box across a floor and it doesn't move, what does this imply about the friction between the box and the floor?

If you push a box across a floor and it doesn’t move, it means the static friction between the box and the floor is strong enough to counter the push. Static friction can grow up to a maximum value equal to the coefficient of static friction times the normal force. Since the box stays still, the applied force is less than or equal to that maximum static friction force. For example, if a 20‑newton weight box has a static friction coefficient of 0. 5, the maximum static friction is 0.