An object of mass 5kg has a weight 8.2N on the surface of the moon. Let the radius of the moon be R. Then, what is the gravitational field strength at a point distance 2R from the centre of the moon?
gravitational field strength at R = F/m = 8.2/5 = 1.64 m/s^2
gravitational field strength at 2R / gravitational field strength at R = (R/2R)^2 = 1/4
gravitational field strength at 2R = 1.64/4 = 0.41m/s^2