A particle moves along the x-axis from x = 0 to x = 4 m under a position-dependent force F(x) = 3x² − 4x + 5 N. If the work done is N joule, find N.
Physics · Work , Power and Energy · question based on work
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Question

A particle moves along the x-axis from x = 0 to x = 4 m under a position-dependent force F(x) = 3x² − 4x + 5 N. If the work done is N joule, find N.

G1 Physics · Accepted Answer

W = ∫₀⁴ (3x² − 4x + 5) dx = [x³ − 2x² + 5x]₀⁴ = 64 − 32 + 20 = 52 J.