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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 3
Mass per unit length of chain =M/L=5/2=2.5kg/m
Work done in pulling the chain of length dx=dW=mgx=(2.5dx)(10)x
Inregrating both sides with proper limits x=0m to x=0.5m, we get
W=0.50(25x)dx
W=12.5(0.5202)=3.125J3J

Hence correct answer is option B

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