JEE Exam > JEE Questions > A uniform chain of length 2 m is kept on a ta...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
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?
Question Description
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? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
Solutions for 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? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution for 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup