A uniform chain of length 2 m is kept on a table such that a length of 60 cm hanges freely from the edge of the table. The total mass of the chain is 4 kg. The work done in pulling the entire chain on the table (Take g = 10 ms-2)

Question

A uniform chain of length 2 m is kept on a table such that a length of 60 cm hanges freely from the edge of the table. The total mass of the chain is 4 kg. The work done in pulling the entire chain on the table (Take g = 10 ms-2) (A) 12.9 J (B) 6.3 J (C) 3.6 J (D) 2.0 J

Tardigrade Admin · Accepted Answer

Mass of length 2 m of the chain = 4 kg Mass of length 60 cm or 0.60 m of the chain = (4 × 0.60/2) = 1.2 kg Weight of the hanging part of the chain = 1.2 × 10 = 12 N Since the centre of gravity of the hanging part lies at its mid point, i.e. 30 cm or 0.30 m ∴ W = 12 × 0.30 = 3.6 J

Q. A uniform chain of length $2 m$ is kept on a table such that a length of $60 c m$ hanges freely from the edge of the table. The total mass of the chain is $4 k g$ . The work done in pulling the entire chain on the table (Take $g = 10 m s^{- 2}$ )

$12.9 J$

$6.3 J$

$3.6 J$

$2.0 J$

Q. A uniform chain of length 2m is kept on a table such that a length of 60cm hanges freely from the edge of the table. The total mass of the chain is 4kg. The work done in pulling the entire chain on the table (Take g=10ms−2)

12.9J

6.3J

3.6J

2.0J

Mass of length 2m of the chain =4kg Mass of length 60cm or 0.60m of the chain =24×0.60​=1.2kg Weight of the hanging part of the chain =1.2×10=12N Since the centre of gravity of the hanging part lies at its mid point, i.e. 30cm or 0.30m ∴W=12×0.30=3.6J

Q. A uniform chain of length $2 m$ is kept on a table such that a length of $60 c m$ hanges freely from the edge of the table. The total mass of the chain is $4 k g$ . The work done in pulling the entire chain on the table (Take $g = 10 m s^{- 2}$ )

$12.9 J$

$6.3 J$

$3.6 J$

$2.0 J$