Which of the following statements about work is true?

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The statement that work is done when a force causes displacement is true because, by definition, work occurs when a force is applied to an object, and that object moves a certain distance in the direction of the applied force. Mathematically, work can be expressed as the product of the force and the distance moved in the direction of the force: ( W = F \cdot d \cdot \cos(\theta) ), where ( \theta ) is the angle between the force and the direction of displacement. This means that for work to be done, a force must cause an object to move—if there is no movement, despite the application of force, no work is done.

Understanding the relationship between force and displacement is critical in physics, as it elucidates how energy is transferred to or from a system. Thus, option B accurately captures the essence of work in mechanics.

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