A bucket filled with water weighing 20 kg is raised from a well of depth 20 m. If the linear density of the rope is 0.2 kg/m, the work done is _____ (Assume g = 10m/s^2)(a) 4000 J(b) 4040 J(c) 4400 J(d) 4800 JI got this question in an internship interview.This intriguing question originated from Work Done by a Variable Force topic in division Work, Energy and Power of Physics – Class 11

A bucket filled with water weighing 20 kg is raised from a well of dep

1.	A bucket filled with water weighing 20 kg is raised from a well of depth 20 m. If the linear density of the rope is 0.2 kg/m, the work done is _____ (Assume g = 10m/s^2)(a) 4000 J(b) 4040 J(c) 4400 J(d) 4800 JI got this question in an internship interview.This intriguing question originated from Work Done by a Variable Force topic in division Work, Energy and Power of Physics – Class 11
Answer» CORRECT choice is (c) 4400 J To elaborate: Mass DENSITY (p) = 0.2 kg/m Length (l) = 20 m Force = F(x) = m(x)g = 0.2xg = 2x Displacement (d) = 20 m Work = \(\int_{0}^{l}\)f(x)dx+ (20g20) = \(\int_{0}^{20}\)2xdx + 4000 = 4400 J.

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