Which equation correctly defines the work done by a force moving through a distance?

Which equation correctly defines the work done by a force moving through a distance?

• A. Work = Force × Distance
• B. Work = Force / Distance
• C. Work = Pressure × Area
• D. Work = Mass × Acceleration

Answer: (A)

Work is the energy transferred when a force moves an object through a distance. For a constant force acting in the same direction as the motion, the amount of work is simply the product of the force and the distance: W = F × d. If the force isn’t perfectly aligned with the movement, you use W = F × d × cos(θ), which reduces to F × d when the force is parallel to the displacement. This is why "Work = Force × Distance" is the correct form in the straightforward case. The other expressions don’t describe work: dividing force by distance isn’t a meaningful measure of energy transfer; pressure × area gives a force, not the energy moved; mass × acceleration gives a force, not the work done through a distance. In simple terms, work equals force times the distance moved in the direction of that force (with the angle adjustment if not perfectly aligned), and the unit is the joule.

Work is the energy transferred when a force moves an object through a distance. For a constant force acting in the same direction as the motion, the amount of work is simply the product of the force and the distance: W = F × d. If the force isn’t perfectly aligned with the movement, you use W = F × d × cos(θ), which reduces to F × d when the force is parallel to the displacement. This is why "Work = Force × Distance" is the correct form in the straightforward case.

The other expressions don’t describe work: dividing force by distance isn’t a meaningful measure of energy transfer; pressure × area gives a force, not the energy moved; mass × acceleration gives a force, not the work done through a distance. In simple terms, work equals force times the distance moved in the direction of that force (with the angle adjustment if not perfectly aligned), and the unit is the joule.