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Work is done when a force causes a displacement. The formula for work (W) is $W = F \cdot d \cdot \cos(\theta)$, where F is the magnitude of the force, d is the magnitude of the displacement, and $\theta$ is the angle between the force vector and the displacement vector.

• Statement 1: "Work is done when a force is applied to an object." This is incomplete. Work is done only if the force causes a displacement.
• Statement 2: "Work is done when an object moves." This is incomplete. Work is done only if a force causes the object to move.
• Statement 3: "Work is done when a force is applied to an object and the object moves." This is closer, but it doesn't specify that the force must cause the displacement. For example, if you push a wall (force applied) and it doesn't move (no displacement), no work is done. If a force is applied perpendicular to the direction of motion, no work is done by that force.
• Statement 4: "Work is done when a force is applied to an object and the object moves in the direction of the force." This statement is correct because if the object moves in the direction of the force, then $\theta = 0^\circ$, and $\cos(0^\circ) = 1$. In this case, $W = F \cdot d$, which is the maximum work done for a given force and displacement. This statement accurately describes a scenario where work is definitely done.

Statement 4 is the most accurate description of when work is done, as it includes both the application of force and the resulting displacement in the direction of the force.

The correct answer is Statement 4.