Position-dependent force F(x)=(7−2x+3x²) N acts on a 2 kg body moving from x=0 to x=5 m. Find work done.

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: Integrate along x: W=∫₀⁵(7−2x+3x²)dx=[7x−x²+x³]₀⁵=35−25+125=135 J. Correct answer: C — 135 J.