Answer:
4.5 lbs.ft
Step-by-step explanation:
Work done by a variable force in moving a distance dx is given mathematically
W = ∫ F dx where the definite integral is done over the entire distance moved by the variable force.
For this question,
F = (5x⁻²) lbs
W = ∫¹⁰₁ 5x⁻² dx = [-5x⁻¹]¹⁰₁ = [-5/x]¹⁰₁ = [-5/10] - [-5/1] = -0.5 + 5 = 4.5 lbs.ft
