Mass of the Moon is nearly less in 100 times than Earth's, and the diametr is less in 4 times.
Find the acceleration of free falling at the Moon.
F = G×((M×m)/R²)
g = 9.8N
The Attempt at a Solution
M_moon = M_earth / 100
D_moon = D_earth / 4
R_moon = D_moon / 2 = D_earth / 8
g_earth = G×(M_earth/R_earth²)
g_moon = G×(M_moon / R_moon²)
M_earth = (g×R_earth²) / G
M_moon = (g×R_earth²) / G / 100
g_moon = g_earth / 25
But the answer is wrong. I think my mistake is in diameter passing and converting it into radius. Help me, please/