Physics' concept - 5

A person attaches an electronic weighing machine on his feet and jumps from a high mountain on earth (I don't know why) .While falling , he sees that his weighing machine reads his weight as '\(a\)' kilograms. The same person (alive, I don't know how) then performs the same experiment on the moon and while falling his weighing machine reads his weight as '\(b\)' kilograms.

Find the value of \(\dfrac{a}{b}\).

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