A uniform force (3î + ĵ) N displaces a 2 kg particle from (2î + k̂) m to (4î + 3ĵ - k̂) m. Work done is:
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Question

A uniform force (3î + ĵ) N displaces a 2 kg particle from (2î + k̂) m to (4î + 3ĵ − k̂) m. Work done is:

G1 Physics · Accepted Answer

Step 1 — Principle: For constant force, mechanical work is the scalar product of force and displacement. Step 2 — Working: Δr=2î+3ĵ−2k̂. Step 3 — Working: W=(3î+ĵ)·Δr=3×2+1×3=9 J. Step 4 — Working: Particle mass does not enter constant-force work. Correct answer: A — 9 J.