Two identical spheres of equal mass a distance of 10 m apart a surface gravity of 0.0050 to each other where are the masses

The masses of the two identical spheres are, M = 1.47 x 10¹³ kg

Explanation:

Given data,

The distance of separation of to identical spheres, d = 10 m

The first sphere exerts a surface gravity on the second sphere is, g = 0.0050 m/s²

The second sphere exerts a surface gravity on the first sphere is, g = 0.0050 m/s²

The formula for surface gravity is,

g = GM/d²

∴ M = gd² / G

Substituting the values

M = 9.8 x 10² / 6.673 x 10⁻¹¹

= 1.47 x 10¹³ kg

Hence the masses of the two identical spheres are, M = 1.47 x 10¹³ kg