According to the Newton's law of universal gravitation, the force of gravitational attraction between two objects of mass M1 and M2 placed a distance R from each other is given by G*M1*M2/R^2.

Here G is the universal gravitational constant given as 6.67 × 10−11 N*m^2/kg^2.

The mass of the Statue of Liberty is 205 tons or 205*10^3 kg. The mass of the Earth is 6*10^24 kg. And the distance between the two, which is the distance between their center of mass is the radius of Earth equal to 6.4*10^6 m.

The Weight of the statue on Earth turns out to be:

6.67*10^-11*205*10^3*6.4*10^24 / (6.4*10^6)^2

=> 2.134*10^6 N

Now to find the weight of the same statue on Mars which has a mass 0.11 times that of the Earth and a radius 0.53 times that of the Earth we have:

6.67*10^-11*205*10^3**.11*6.4*10^24 / (.53*6.4*10^6)^2

=> 8.36*10^5 N.