Question

Why does are weight become 1/6 on the moon surface

Answer 1

Our weight become 1/6 on the moon surface as the gravitation of moon is very less than the earth .And also the gravitation of the moon is 1/6 of the earth. That's why it becomes 1/6 on the moon surface.

Answer 2

Earth’s density is 5g/cm^3 and the Moons is around 3g/cm^3.

Yes the Moon’s mass is 81 times less than the Earth’s, but it’s radius is around 1/4 (actually 0.272) - so on the surface of the Moon you are actually a lot closer to the center of gravity compare to being on the surface of the Earth.

The Gravity at the surface of a body is :

g=Gmr2

gm=G⋅me81(re∗0.272)2

gm=G⋅me81⋅10.0743(˙r2e)

gm=G⋅mer2e⋅181∗0.0743

gm=ge⋅16

so the Moon’s gravity at the surface is approximately 1/6’s of the gravity of the Earth’s at the surface of the Earth.