Answer:
Suppose
the mass of the moon is Mm and its radius is Rm. If a
body of mass m is placed on the surface of moon, then weight of the body on the
moon is
? (1)
Weight of the
same body on the earth's surface will be
? (1)
where = mass of earth and = radius of earth.
Dividing
equation (1) by (2), we get
Now, mass of
the earth,
mass of the moon,
radius of the earth, =
6400 km
and radius of the moon, =
1740 km
Thus, equation (3) becomes,
or
The weight of
the body on the moon is about one-sixth of its weight on the earth.
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