# Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are 1740 km and 7.4 x 1022 kg respectively. Compare this value with free-fall acceleration of a body on the surface of the earth.

According to the question given data is;

Mass of the moon (M) = 7.4 x 1022 Kg;

Radius of moon (R) = 1740 km = 1740 x 103 m (1km = 1000m).

Now;

Acceleration due to gravity (g) =

g =

g =

g =

g =

g =

g = 1.63 m\s2.

Free fall Acceleration at the surface of the moon is 1.63 m\s2

Now;

Acceleration due to gravity on earth age = 9.8 m\s2 .

Acceleration due to gravity on moon gm = 1.63 m\s2 .

ge = 6 gm.

Acceleration due to gravity on the moon is one-sixth of Acceleration due to gravity on earth.

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