Force F acting on an object varies with displacement x as the shown graph: F=3 N from x=0 to 3 m, then decreases linearly to zero at x=6 m. Find work done from x=0 to x=6 m.

Question

G1 Physics · Accepted Answer

Step 1 — Principle: For a position-dependent force, calculate work by integrating force along displacement: W = ∫F dx. Step 2 — Working: Total work equals the area below F–x: rectangle 3×3=9 J plus triangle ½×3×3=4.5 J, giving 13.5 J. Correct answer: B — 13.5 J.