The mass of moon is 1/100 times and its radius 1//4 times that of earth. The above ratio is approximately equal to 1/6 and this is why. The weight of an object depends on the value of g, i.e.
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We know that gm is approximately 1 6ge.
Weight of the same object on the earth is we (where w is the weight and e is the earth;which means weight on the earth).
As a result, the weight of an object on the moon is 1 6 that of an object on earth. As a result, the object weighs 1/6th of what it would on earth, even though its mass. Since the moon's gravity is about 1/6th of earth's gravity, an object feels less pull there. Question 2 page 138 why is weight of an object on the moon 1/6 th its weight on the earth?
The mass of the moon is approximately (1 / 100) t h times the mass of the earth and its radius is approximately (1 / 4) t h that of earth. The weight of an object on the earth would be given by where m e and r e are the mass and radius of the earth respectively. Therefore, we can substitute this into the equation: Mass of the earth is 100 times of that of the moon.
This shows that the weight of an object on the moon is 1 6 of its weight on earth.
The moon is much less massive and has a different radius (r) than the earth. As a result, the gravitational attraction on the moon is about one sixth when compared to earth. The mass of moon is 1/100 times and its radius 1/4 times that of earth.
