# 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 ? Option 1) 7.2 J Option 2) 3.6 J Option 3) 120 J Option 4) 1200 J.

As we learnt in

Definition of work done by variable force -

- wherein

is variable force and is small displacement

Consider a small part dx at a depth x from table.

Work done in lifting this small portion is dw = dm gx

Total work done

Option 1)

7.2 J

Option 2)

3.6 J

Option 3)

120 J

Option 4)

1200 J.

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