The acceleration due to gravity on the surface of the Moon is approximately 1.625 m/s2, about 16.6% that on Earth's surface or 0.166 ɡ.[1] Over the entire surface, the variation in gravitational acceleration is about 0.0253 m/s2 (1.6% of the acceleration due to gravity). Because weight is directly dependent upon gravitational acceleration, things on the Moon will weigh only 16.6% (= 1/6) of what they weigh on the Earth. The weight of the object on moon is the force with which the moon attracts the object the mass of the moon is less than that of earth due to this moon exerts lesser force of attraction on object .let the mass of an object be (m) and the mass of the moon is (Mm) and its radius is G by applying universal law of Gravitation, the weight of the object on the moon will be : Wm = Gmm/r Now substute the value of Mm ,R sq and G we get : Wm = 6.67 x 10 power - 11 x 7.36 x10 power 22 x m / (1.74 10 power 6 ) sq , wm = 2.413 x 10 power 10 m : 1st eq . Now : we = Gm x5.98x 10 power 24 / (6.37 x10 power 6 ) sq . we = Gm x5.98 x10 power 12 / 40.57 . we = Gm x0.1473. x 10 power 12 . , wn/we = 1.6496945/10 . wm = 0.16496945 congruent to 1/6 … By AR7 (20)
