Gravitational force on the surface of the moon is only 1/6 as strong as gravitational force on the earth. What is the weight in newtons of a 10 kg object on the moon and on the earth?

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.