If luke pushes with 22 n of force on the wagon that is now filled with bricks but he cannot make you move how much work did luke do

He did none.

Explanation:

Even though he may have felt like he did work, none was done.

The only way for work to happen is if the object moves.

Zero

Explanation:

Work done on an object is defined as the product of force applied on an object and the distance traveled by the object due to the applied force. here the force applied is in the direction of force.

Generally,

Work = force in the direction of displacement x displacement

Here, the displacement is zero

so, the work done by Luke to push the wagon is zero.