A planet of radius R = 1/10×( 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 a 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 inplace is (take the radius of Earth = 6 × 10^6 m and the acceleration due to gravity on Earth is 10 m/s^2