Let mass of an object be m, its weight on earth means the force by which earth attracts it towards the centre.
where G = Gravitational constant, Me = Mass of the earth, m = Mass of object, Re = Radius of the earth Weight of an object on moon,
where Mm = Mass of the moon, Rm = Radius of the moon
Dividing equation (i) by equation (ii), we get
We know that mass of earth is 100 times the mass of the moon.
So, Me = 100 Mm
And radius of earth is 4 times the radius of moon.