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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 on the table ?

(a) 7.2 J

(b) 3.6 J

(c) 120 J

(d) 1200 J

1 Answer

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Best answer

Correct option (b) 3.6 J
Explanation:

Mass per unit length = M/L = 4/2 = 2 kg/m

The mass of 0.6 m of chain = 0.6 x 2 = 1 .2 kg
The height of centre of mass of hanging part

h = 0.6 + 0/2 = 0.3 m

Hence, work done in pulling the chain on the table = Work done against gravity force

i.e,  W = mgh

= 1.2 x 10 x 0.3 = 3.6 J

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