Question

Derivation for the 1/6 weight in moon than in earth

Answer 1

Let the mass of the moon be m.let its weight be Wm.let the mass of the mopn be Mm.and its radius be Rm.
By applying the universal law of gravitation,the weight of the object on the moon will be :
Wm: G Mm *m/r^2 m
Let the weight of the same object on the earth be We .the mass of the earth be M and its radius is R
We know ,
We : G M*m/R^2
Wm : G 7.36*10^22kg./ 1.74*10^6
Wm: 2.431*10^10G*m
We: 1.74*10^11G*m
Wm/we: 2.431*10^10/1.474 * 10^11
- 1/6
Weight of the object on the moon/ weight of the object on the earth : 1/6
Weight of the object on the moon : 1/6 * weight of the object on the earth