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

step 1 In this question we have given a uniform chain whose length is 2 meter and it is kept on a table

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? (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?
(A) $12 \mathrm{~J}$
(B) $3.6 \mathrm{~J}$
(C) $7.2 \mathrm{~J}$
(D) $1200 \mathrm{~J}$

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Key Concepts

Work-Energy Principle

This principle states that the work done on an object is equal to its change in energy, particularly when considering conservative forces like gravity. In scenarios where an object is moved against gravity, the work done is stored as an increase in gravitational potential energy.

Uniform Mass Distribution

In physics problems involving objects like chains or ropes, a uniform mass distribution means that the object's mass is spread evenly along its length. This assumption allows the center of mass to be found easily and simplifies the calculation of work or energy as the object is moved within a gravitational field.

Gravitational Potential Energy

This concept involves the energy an object has due to its position in a gravitational field. In problems where objects are raised or lowered, the work done is equal to the change in gravitational potential energy, which is calculated by multiplying the mass, gravitational acceleration, and the change in height of the object's center of mass.

Center of Mass

The center of mass is the average position of all the mass in a body. For a uniformly distributed object, this point is at the geometric center. Shifts in the location of the center of mass, when an object is moved, determine the change in gravitational potential energy and thus the work required to move the object.

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