A particle moves along the positive x-axis under a force F(x) = A/x², where A > 0. It moves from x = a to x = 2a. Work done is:
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Question

A particle moves along the positive x-axis under a force F(x) = A/x², where A > 0. It moves from x = a to x = 2a. Work done is:

G1 Physics · Accepted Answer

W = ∫ₐ²ᵃ A x⁻² dx = A[−1/x]ₐ²ᵃ = A(1/a − 1/2a) = A/(2a).