Work — Variable ForceMediumQuestion 30410
Question
Work done by a variable force F(x) as x goes from x₁ to x₂ is given by:
- AF(x₂ − x₁)
- B∫F dxCorrect
- CF_avg × (x₂ − x₁)
- DBoth ∫F dx and F_avg × Δx if force is linear
Correct answer
∫F dx
Explanation
W = ∫F·dx for a varying force. For a constant force, this reduces to F×Δx.