Which of the following expresses the work done by a force along a displacement?

• A. Force x Distance
• B. Energy x Time
• C. Mass x Acceleration
• D. Power x Time

Answer: (A)

Work is the transfer of energy that occurs when a force moves an object a certain distance. For a constant force, the work done is the product of the force and the displacement in the direction of the force: W = F × d when the force points along the motion. More generally, W = F · d = F d cos θ, where θ is the angle between the force and the displacement. If the force is in the same direction as the motion, θ = 0 and cos θ = 1, so the work simplifies to F × distance. If the force isn’t aligned, you multiply by cos θ and the work is smaller. The other options don’t directly express work: mass × acceleration gives force, not work; energy × time isn’t a standard work measure; power × time gives energy only when considering how power varies over time.