Final answer:
Work is the product of force and displacement in physics, and it is positive when they are in the same direction, negative if in opposite directions, and zero if the displacement is zero or perpendicular to the force. Therefore, statement (d) is correct: work is the product of force and displacement.
Step-by-step explanation:
When a force is applied to an object, causing it to move in the direction of the force, the correct statement about work is that work is the product of force and displacement. Work is done on an object when a force causes a displacement in the direction of the force. If the displacement is either zero or perpendicular to the force, then the work done is zero.
However, if the force and the displacement are in the same direction, the work done is positive; if they are in opposite directions, the work done is negative.
Therefore, the amount of work done can be expressed as the product of the component of the force in the direction of the displacement and the magnitude of the displacement.
The work done by a force on an object is determined by the relative directions of the force and displacement. If the force and displacement have the same direction, the work is positive. If they have opposite directions, the work is negative. If the displacement is either zero or perpendicular to the force, the work is zero.
Therefore, statement (d) is correct: work is the product of force and displacement.