A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from

step 1 we have to find the value of work done on the table solution some values are given such that tot

A uniform chain of length 2 m is kept on a table such that...

A uniform chain of length $2 \mathrm{~m}$ is kept on a table such that a length of $60 \mathrm{~cm}$ hangs freely from the edge of the table. The total mass of the chain is $4 \mathrm{~kg}$. What is the work done in pulling the entire chain on the table? Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$ [2004] (A) $12 \mathrm{~J}$ (B) $3.6 \mathrm{~J}$ (C) $7.2 \mathrm{~J}$ (D) $1200 \mathrm{~J}$

A uniform chain of length $2 \mathrm{~m}$ is kept on a table such that a length of $60 \mathrm{~cm}$ hangs freely from the edge of the table. The total mass of the chain is $4 \mathrm{~kg}$. What is the work done in pulling the entire chain on the table? Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$ [2004]
(A) $12 \mathrm{~J}$
(B) $3.6 \mathrm{~J}$
(C) $7.2 \mathrm{~J}$
(D) $1200 \mathrm{~J}$

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Key Concepts

Centre of Mass Concept

The centre of mass of an object is the point where its entire mass can be considered to be concentrated for the analysis of translational motion. For uniform bodies, this point is at the geometric centre, making it especially useful in calculating the average height change of a distributed mass when the object is moved. This simplifies the computation of overall changes in gravitational potential energy.

Gravitational Potential Energy

This concept refers to the energy possessed by an object due to its position in a gravitational field. In problems involving vertical displacement, the change in gravitational potential energy is calculated as the product of mass, gravitational acceleration, and the change in height, making it fundamental when determining the energy required to move objects against gravity.

Work Done Against Gravity

Work done against gravity is the energy expended to raise an object within a gravitational field. It is directly related to the gain in gravitational potential energy and is calculated by the difference in potential energy between the final and initial positions. This concept is crucial in problems that involve lifting or pulling objects, as the work done is equal to the increase in potential energy.

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