Answer:
Suppose
the mass of the moon is 
and its radius is 
. If a body of mass m is placed on the
surface of moon, then weight of the body on the moon is 
?(i)(1)
Weight of the same body on the earth's surface will be
?(ii)(1)
where 
mass of the earth
and 
radius of the earth.
Dividing Eq. (i) by Eq. (ii), we get 
?(iii)(1)
Now, mass of the earth, 
mass of the moon, 
radius of the earth, 
and
radius of the moon, 
Thus, Eq. (iii) becomes
(1)
or
or
(1)
The weight of the body on the moon is about one-sixth of
its weight on the earth.
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