Final answer:
The work done on the box is calculated by multiplying the force applied (12.4 N) by the distance over which the force is applied (3.5 m), resulting in 43.4 joules of work.
Step-by-step explanation:
To calculate the work done on the box, we can use the formula for work: W = F × d × cos(θ), where W is work, F is the constant force applied, d is the distance over which the force is applied, and θ is the angle between the force and the direction of motion. In this scenario, the force is applied in the same direction as the motion, so the angle θ is 0 degrees, which makes cos(θ) equal to 1. Thus, the work done on the box is simply the product of the force and the distance.
Using the given values:
Force (F): 12.4 N
Distance (d): 3.5 m
Work done (W) = 12.4 N × 3.5 m = 43.4 joules (since cos(0) = 1)
Therefore, 43.4 joules of work are done on the box.