A 100 m rope of line density \(\lambda=0.1\) kg/m is suspended vertically so that the bottom of the chain is just touching a scale. It is then released and falls onto the scale, which perceives a time dependent weight.

What is the reading on the scale in **Newtons** at the moment half the rope lies on the scale?

**Assumptions and Details**

- \(g=9.8\) m/s\(^{2}\).

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