To analyze when Aidan is doing work on the box, we need to consider the definition of work in physics. Work is done when a force is applied to an object, and that force causes displacement in the direction of the force.
Let's evaluate the options given:
A) He does work on the box at no time during this process - This is incorrect because work is done when he lifts the box.
B) He does work only while he carries the box across the room - This is also incorrect. While he is carrying the box, if he is moving horizontally, there is no vertical displacement, so no work is done on the box in that direction.
C) He does work from the moment he touches the box until he lets it go - This is misleading. While he is carrying it, he is not doing work on the box itself in terms of its vertical position.
D) He does work as he picks up the box and as he lifts it to the shelf - This is the correct answer. Aidan does work on the box when he applies a force to lift it and move it to the shelf.
Thus, the correct answer is D) he does work as he picks up the box and as he lifts it to the shelf.