Question

Why is the weight of an object on the moon ^th its weight on the earth?

Answer 1

Let M_E be the mass of the Earth and m be an object on the surface of the Earth. Let R_E be the radius of the Earth. According to the universal law of gravitation, weight W_E of the object on the surface of the Earth is given by,

Let and be the mass and radius of the moon. Then, according to the universal law of gravitation, weight W_M of the object on the surface of the moon is given by:

Therefore, weight of an object on the moon is of its weight on the Earth.