A planet of radius \(R = \dfrac{1}{10} \times (\text{radius of Earth})\) has the same mass density as Earth. Scientists dig a well of depth \(\dfrac{R}{5}\) on it and lower a wire of the same length and of linear mass density \(10^{-3} \, \text{kgm}^{-1}\) into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is (take the radius of Earth \(=6 \times 10^6 \, \text{m}\) and the acceleration due to gravity of Earth is \(10^{-2}\))