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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)12 J
- b)3.6 J
- c)7.2 J
- d)1200 J
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A uniform chain of length 2 m is kept on a table such that a length of...
Mass of over hanging chain m‘ 
Let at the surface PE = 0
C.M.of hanging part = 0.3 m below the table
Workdone in putting the en tire chain on the table.Most Upvoted Answer
A uniform chain of length 2 m is kept on a table such that a length of...
Given:
Length of the chain (L) = 2 m
Length hanging freely (h) = 60 cm = 0.6 m
Total mass of the chain (m) = 4 kg
To find: Work done in pulling the entire chain on the table
Work done can be calculated using the formula:
Work = Force × Distance
1. Calculating the force:
The force acting on the chain is equal to the weight of the hanging part of the chain.
The weight of the hanging part can be calculated using the formula:
Weight = mass × acceleration due to gravity
The mass of the hanging part can be calculated using the formula:
Mass = (Length of the hanging part / Total length) × Total mass
Mass of the hanging part (m_h) = (0.6 / 2) × 4 = 1.2 kg
Weight of the hanging part (W) = m_h × g, where g is the acceleration due to gravity (approximated to 9.8 m/s²)
W = 1.2 × 9.8 = 11.76 N
2. Calculating the distance:
The distance over which the force is applied is equal to the length of the hanging part of the chain.
Distance (d) = Length of the hanging part = 0.6 m
3. Calculating the work done:
Work = Force × Distance
Work = W × d
Work = 11.76 × 0.6
Work = 7.056 J
Therefore, the work done in pulling the entire chain on the table is 7.056 J, which is approximately equal to 7.2 J.
Hence, option C is the correct answer.
Length of the chain (L) = 2 m
Length hanging freely (h) = 60 cm = 0.6 m
Total mass of the chain (m) = 4 kg
To find: Work done in pulling the entire chain on the table
Work done can be calculated using the formula:
Work = Force × Distance
1. Calculating the force:
The force acting on the chain is equal to the weight of the hanging part of the chain.
The weight of the hanging part can be calculated using the formula:
Weight = mass × acceleration due to gravity
The mass of the hanging part can be calculated using the formula:
Mass = (Length of the hanging part / Total length) × Total mass
Mass of the hanging part (m_h) = (0.6 / 2) × 4 = 1.2 kg
Weight of the hanging part (W) = m_h × g, where g is the acceleration due to gravity (approximated to 9.8 m/s²)
W = 1.2 × 9.8 = 11.76 N
2. Calculating the distance:
The distance over which the force is applied is equal to the length of the hanging part of the chain.
Distance (d) = Length of the hanging part = 0.6 m
3. Calculating the work done:
Work = Force × Distance
Work = W × d
Work = 11.76 × 0.6
Work = 7.056 J
Therefore, the work done in pulling the entire chain on the table is 7.056 J, which is approximately equal to 7.2 J.
Hence, option C is the correct answer.
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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)12 Jb)3.6 Jc)7.2 Jd)1200 JCorrect answer is option 'B'. Can you explain this answer?
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