Answer:
The masses of the two identical spheres are, M = 1.47 x 10¹³ kg
Step-by-step 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