A planet of radius $$R = \frac{1}{10} \times$$ (radius of Earth) has the same mass density as Earth. Scientists dig a well of depth $$\frac{R}{5}$$ on it and lower a wire of the same length and of linear mass density $$10^{-3} kgm{-1}$$ 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 $$= 6 \times 10^6 m$$ and the acceleration due to gravity on Earth is $$10 ms^{-2}$$)