How is work defined in physics?

In physics, work is defined as the product of force and the distance moved in the direction of that force. This definition stems from the understanding that when a force acts on an object and causes it to move, energy is transferred to the object. The equation for work is given by ( W = F \cdot d \cdot \cos(\theta) ), where ( W ) is work, ( F ) is the magnitude of the force, ( d ) is the displacement, and ( \theta ) is the angle between the force vector and the direction of motion. When the force is applied in the same direction as the displacement (( \theta = 0 )), the equation simplifies to ( W = F \cdot d ), which directly reflects the correct answer.

This definition captures the essence of work in the context of mechanical systems and energy transfer, emphasizing that work involves both a force application and movement in the direction of that force. This contrast with other definitions or concepts highlights that work cannot occur without movement in the direction of the force applied.