IF you try to lift a 2x10 plank by applying 25 N force but the plank does not move did you do any work?

No

work = force * distance

since distance=0, no work.

No, you did not do any work in this scenario. Work is defined as the transfer of energy that occurs when an object is moved in the direction of the applied force. In this case, if the plank did not move despite your 25 N force, there was no displacement of the plank in the direction of your force. Therefore, no work was done on the plank.

To determine whether work is done in a particular situation, we need to consider two factors: the applied force and the displacement of the object being acted upon. Work is defined as the product of force and displacement in the direction of the force.

In this case, if you apply a 25 N force to lift the 2x10 plank, but the plank does not move, there is no displacement of the plank in the direction of the force. As a result, there is no work being done.

The formula for work is:
Work = Force x Displacement x cos(theta)

Where,
Force is the applied force,
Displacement is the distance the object moves in the direction of the force,
theta is the angle between the force direction and the direction of the displacement.

If there is no displacement (meaning the plank does not move), the work done will be zero, regardless of the amount of force applied.