A rope has a uniform mass density of 0.4 kg/m. The rope is 10 m long and is lowered into a 10 m deep pit. The bottom part of the rope just touches the bottom of the pit. What is the work done to pull the rope out of the well completely? (Assume g = 10m/s^2)(a) 200 J(b) 400 J(c) 2000 J(d) 4000 JI had been asked this question during an internship interview.I want to ask this question from Work Done by a Variable Force in section Work, Energy and Power of Physics – Class 11

A rope has a uniform mass density of 0.4 kg/m. The rope is 10 m long a

1.	A rope has a uniform mass density of 0.4 kg/m. The rope is 10 m long and is lowered into a 10 m deep pit. The bottom part of the rope just touches the bottom of the pit. What is the work done to pull the rope out of the well completely? (Assume g = 10m/s^2)(a) 200 J(b) 400 J(c) 2000 J(d) 4000 JI had been asked this question during an internship interview.I want to ask this question from Work Done by a Variable Force in section Work, Energy and Power of Physics – Class 11
Answer» Correct OPTION is (a) 200 J Easiest explanation: MASS DENSITY (p) = 0.4 kg/m Length (l) = 10 m Force = f(X) = m(x)G = 0.4xg = 4x Displacement (d) = 10 m Work = \(\int_{0}^{l}\)f(x)dx = \(\int_{0}^{10}\)4xdx = 200 J.

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