Question

why is the weight of an object on the moon 1/6th , it's weight on the earth?
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Answer 1

Answer:

The mass of moon is 1/100 times and its radius 1/4 times that of earth. As a result, the gravitational attraction on the moon is about one sixth when compared to earth. Hence, the weight of an object on the moon is 1/6th its weight on the earth.

Answer 2

Answer:

you can write the understanding term from upper answer but here is the answer

Explanation:

suppose we have an object of mass = m also let the weight on moon be Wm and weight on earth be We.

Now , weight of object on moon will be:

Wm = G × M ×m/ r2 ....1 (according to the formula)

Now, the weight is actually the force with which moon attract the object.

M = mass of moon

r = radius of moon

Mass of earth = 100 times mass of moon

Radius of earth = 4 times the moon

so , weight of object on earth will be given

We = G ×100 × M × m / (4 × r) to the power 2 .....2

Now , dividing eq 1 by 2 we have

Wm/ We = 16 / 100 = 1 /6

Thus we can say that the weight of an object on moon is one sixth of its weight on Earth.

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