Question

why the weight of the object is 1/6th in the moon of it's original weight

Answer 1

this is bcoz there is no gravity and no air resistance in moon. this air resistance opposes the friction.....
so if there is no friction there is no air resistance and if there is no air resistance no weight which can be pulled to moon.

earth has more mass than moon...

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Answer 2

Because moon has less mass than earth so it's gravity is also less than the earth's gravity.
the moon gravity is 1/6th of the earth gravity and thus the weight of objects is 1/6th on the moon than its original weight.

hope you understand this....
thanks.