The weight of an object on any celestial body is determined by the gravitational force acting upon it. The weight is calculated using the formula:

Weight = Mass x Acceleration due to Gravity

Given the scenario where the gravitational force on the Moon is 1/6th as strong as the gravitational force on Earth:

1. Weight on Earth:
– The acceleration due to gravity on Earth g_earth is approximately 9.81m/s².
– For a 10 kg object on Earth:
Weight on Earth = 10 k x 9.81m/s² = 98.1 N

2. Weight on the Moon:
– Given that the gravitational force on the Moon is 1/6th of that on Earth:
g_moon = 1/6 x g_earth
g_moon = 1/6 x 9.81m/s² = 1.635 m/s²
– For the same 10 kg object on the Moon:
Weight on Moon = 10 kg x 1.635 m/s² = 16.35 N

In summary, the weight of a 10 kg object on Earth is 98.1 N, whereas on the Moon, due to the weaker gravitational force (1/6th that of Earth), the weight of the same object becomes 16.35 N. This significant difference in gravitational pull between the Earth and the Moon results in a lower weight for the object on the Moon compared to Earth.