what is the value f g on moon?
Fg = 1/6 * 9.8 = 1.63 m/s^2.
To determine the value of the acceleration due to gravity (g) on the Moon, we can use the formula:
g = GM/r²
where G is the gravitational constant (approximately 6.67430 x 10^-11 m^3⋅kg^-1⋅s^-2), M is the mass of the Moon (approximately 7.34767 x 10^22 kg), and r is the radius of the Moon (approximately 1,737.1 km or 1,079.4 miles).
Let's calculate it step by step:
1. Convert the radius from kilometers to meters: 1,737.1 km = 1,737,100 m.
2. Square the radius: (1,737,100 m)² = 3.019 x 10^12 m²
3. Substitute the values into the formula: g = (6.67430 x 10^-11 m^3⋅kg^-1⋅s^-2) * (7.34767 x 10^22 kg) / (3.019 x 10^12 m²)
4. Calculate the value: g = 1.620 m/s²
Therefore, the value of g on the Moon is approximately 1.620 m/s². This means that objects on the Moon experience about 1/6th of the gravitational pull compared to Earth.