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A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain onto the table? $(g = 10 m / s^{2})$

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120 J

7.2 J

1200 J

3.6 J

answer is B.

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Detailed Solution

Mass of chain lying freely

$m = M \frac{l}{L} == 4 \times \frac{0.6}{2} = 1.2 kg$

Distance of center of mass of chain from table $(h) = \frac{0.6}{2} = 0.3 m$

$W = mgh = 1.2 \times 10 \times 0.3 = 3.6 J$

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