\"\"

\

Length of the chain is \"\" m.

\

Mass of the chain is \"\" kg.

\

From the newtons second law: \"\".

\

In this case \"\".

\

Substitute \"\" and \"\" in \"\".

\

\"\".

\

The part of the chain \"\"-meters from the lifted end is raised to \"\" m if \"\".

\

Work done as a Riemann sum is  \"\".

\

\"\"

\

\"\" J.

\

Work done required is \"\" J.

\

\"\"

\

Work done required is \"\" J.