Final answer:
To find out how far an object was displaced when a force was exerted and work was done, we divide the work by the force. In this case, the object was displaced by 2.2 meters.
Step-by-step explanation:
The subject of this question is Physics, and it is typically a question that could be encountered by a high school student learning about work, energy, and force. To find how far an object displaced, we use the formula for work done, which is:
Work = Force × Distance × cos(θ)
Since no angle is given, we assume that the force exerted is in the same direction as the displacement, making θ = 0. Therefore, the cos(0) = 1, and the formula becomes:
Work = Force × Distance
To solve for Distance:
Distance = Work / Force
We know that 2.5 N of force has exerted 5.5 J of work. Substituting these values, we get:
Distance = 5.5 J / 2.5 N
Distance = 2.2 meters
The object was displaced by 2.2 meters.