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The acceleration in freefall on the Moon is about 1.622 meters/sec2 (approx. 0.165 Earth g).

The acceleration due to gravity can be found using Newtons law of Universal Gravitation.

The mass of the moon is 7.36x10^22 The radius of the moon is 1,737.4 kilometers or 1.7374x10^6 meters and newtons gravitational constant is 6.67x10^-11(m^3)/(kg*s^2).

Using this information we can use the formula a=(G(m2))/(r^2) where a= acceleration on the moon G is gravitational constant and m2 is the mass of the moon.

So... a=(6.67x10^-11(m^3)/(kg*s^2)(7.35x10^22kg))/(1.73x10^6m)^2 so acceleration on the moon a=1.62631m/s^2

Or you could do it the easy way since gravity on the moon is 1/6 that of earth the acceleration of gravity of the moon would be 9.8/6=1.63m/s^2

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