Final answer:
The work done by you in lowering the box is zero.
Step-by-step explanation:
In this case, since the box is being lowered at a constant speed, the net work done is equal to zero. This is because the force required to lower the box at a constant speed is equal to the force of gravity acting on the box. The work done by gravity is given by the equation:
Work = Force x Distance x cos(theta)
where theta is the angle between the force vector and the direction of displacement. In this case, the force of gravity is equal to the weight of the box (W = m * g) and theta is 0 degrees since the force and displacement are in the same direction.
Therefore, the work done by you in lowering the box is zero.