A planet of radius R = (1)/(10) × (radius of Earth) has the same...

A planet of radius $R = \dfrac{1}{10} \times$ (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 ${10}^{- 3}kg{m}^{- 1}$ 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 of Earth is $10m{s}^{- 2}$ )