Which formula represents work done?

The formula that accurately represents work done is based on the relationship between force, distance, and movement in a specific direction. The correct representation is that work done is equal to force multiplied by the distance over which the force is applied in the direction of the force.

In many contexts, especially in physics, work done signifies the energy transferred when a force causes an object to move. The general formula for work can be stated as "Work done = Force × Distance", indicating the dependency on both the magnitude of the force and the extent of the movement.

While the response that "work done = work rate × time" may seem valid, it is not the fundamental expression for calculating work; instead, it reflects a situation where work is performed over a certain time frame at a constant rate. In contrast, "work = force × distance" is the primary definition used in most scientific applications to calculate work directly.

Therefore, the formula that best encapsulates the concept of work is "Work done = Force × Distance," signifying the essential relationship in mechanical interactions.