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