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Question

# A uniform chain of length 2m is kept on a table such that a length of 50cm hangs freely from the edge of the table. The total mass of the chain is 5kg. What is the work done in pulling the entire chain on the table. (in J)

A
7.2
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B
3
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C
4.6
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D
12
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Solution

## The correct option is B 3Mass per unit length of chain =M/L=5/2=2.5kg/mWork done in pulling the chain of length dx=dW=mgx=(2.5dx)(10)xInregrating both sides with proper limits x=0m to x=0.5m, we get⇒W=∫0.50(25x)dx ⇒W=12.5(0.52−02)=3.125J≈3JHence correct answer is option B

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