$A$ 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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