Final answer:
The object moved 6 meters when a 16 N force was applied to it and 96 J of work was done. The distance was calculated by dividing the work by the force.
Step-by-step explanation:
The question involves finding the distance an object moved when a force is applied and the work done is known. The work-energy principle states that work done on an object is equal to the change in its kinetic energy. In this context, the formula used is Work (W) = Force (F) × Distance (d), where W is work in joules, F is the force in newtons, and d is the distance in meters. From the problem, we have the work (W) as 96 J and force (F) as 16 N. To find the distance (d), we rearrange the formula to d = W/F. Thus, the distance moved is d = 96 J / 16 N = 6 meters.