If the mass of earth is 80 times of that of moon and its diameter is double that of moon and g on earth is 9.8 m / sec², then the value of g on moon is

The acceleration due to gravity is denoted by g , which on Earth comes out to be about 9.8 m/s². It indicates the strength of the pulling force that the Earth exerted upon the objects resting on it due to mass and radius. It pulls all these objects towards the center due to gravitational force, where this gravitational force is said to provide weight to them.

When we think of the Moon, the gravitational acceleration is much lower than that of Earth. This is what is called g’ . The Moon’s mass is approximately 1/80th that of Earth, and its radius is about half that of Earth. Thus, the gravitational force felt on the Moon is much weaker.

From calculations of gravitational acceleration on the Moon, it was determined that this acceleration is around 0.49 m/s². This smaller gravitational pull impacts the behavior of objects on the Moon’s surface greatly. For instance, if a person weighed 100 kg on Earth, then he or she would weigh about 6.1 kg on the Moon. This is because the movements are easier, and it is possible to jump higher because the gravitational force is less. This difference in gravity serves to play a crucial role in many scientific and engineering applications pertinent to lunar exploration and habitation.

For earth,
g = GM/R² = 9.8 ms⁻²

For moon,
g’ = (G(M/80))/(R/2)² = 1 GM/20 R²
= 1/20 x 9.8 = 0.49 ms⁻²