(A) The mass of the hanging part is $m' = \frac{m}{\ell} \times \frac{2 \ell}{5} = \frac{2m}{5}$.The center of mass of the hanging part is at a distan

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(A) The mass of the hanging part is $m' = \frac{m}{\ell} \times \frac{2 \ell}{5} = \frac{2m}{5}$.The center of mass of the hanging part is at a distance $h = \frac{1}{2} \times \frac{2 \ell}{5} = \frac{\ell}{5}$ below the edge of the table.The work done to pull the hanging part onto the table is equal to the change in potential energy of the hanging part.$W = m'gh = \left( \frac{2m}{5} \right) g \left( \frac{\ell}{5} \right) = \frac{2mg \ell}{25}$.

Class 11 Physics Work, Energy, Power and Collision Work Done by Constant Force

Medium

$A$ chain of mass $m$ and length $\ell$ is held on a frictionless table in such a way that its $\frac{2 \ell}{5}$ part is hanging below the edge of the table. Find the work done to pull the hanging part of the chain up onto the table.

A
$\frac{2 mg \ell}{25}$
B
$\frac{mg \ell}{50}$
C
$\frac{mg \ell}{15}$
D
$\frac{4 mg \ell}{15}$

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Class 11

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Work, Energy, Power and Collision

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Work Done by Constant Force

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If a person is pushing a box inside a moving train,the work done in the frame of the earth will be: (where $\vec{s}$ is the displacement of the box in the train and $\vec{s}_0$ is the displacement of the train relative to the ground)

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Under what condition is a force considered constant when it causes displacement?

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$A$ chain of mass $m$ and length $\ell$ is held on a frictionless table in such a way that its $\frac{2 \ell}{5}$ part is hanging below the edge of the table. Find the work done to pull the hanging part of the chain up onto the table.

Similar Questions

Is the work done by the gravitational force on an object falling freely under gravity positive,negative,or zero?

$A$ particle of mass $m$ moves along a circular path of radius $r$ under the influence of a centripetal force $F$. What is the work done when the particle moves along a semi-circular path?

$A$ force $\vec{F} = (-2\hat{i} + 15\hat{j} + 6\hat{k}) \, N$ acts on an object,causing it to move along the $Y$-axis. If the displacement along the $Y$-axis is $10 \, m$,find the work done by the force in $J$.

If a person is pushing a box inside a moving train,the work done in the frame of the earth will be: (where $\vec{s}$ is the displacement of the box in the train and $\vec{s}_0$ is the displacement of the train relative to the ground)

Under what condition is a force considered constant when it causes displacement?

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