A planet of radius $\mathrm{R}=\frac{1}{10} \times$ (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 $10^{-3} \mathrm{kgm}^{-1} \mathrm{into}$ 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 $=6 \times 10^6 \mathrm{~m}$ and the acceleration due to gravity on Earth is $10 \mathrm{~ms}^{-2}$ )