F = Gm₁m₂/r²
F₁ = Gm₁m₂/r²
F₂ = Fm₁m₂/(r + 100)²
F₁/F₂ = 1,44
Gm₁m₂/r² : Gm₁m₂/(r + 100)² = 1,44
1/r² : 1/(r + 100)² = 1,44
(r + 100)²/ r² = 1,44
(r + 100) / r = 1,2
r + 100 = 1,2r
0,2r = 100
r = 500 (м)
ответ: 500 м.
F = Gm₁m₂/r²
F₁ = Gm₁m₂/r²
F₂ = Fm₁m₂/(r + 100)²
F₁/F₂ = 1,44
Gm₁m₂/r² : Gm₁m₂/(r + 100)² = 1,44
1/r² : 1/(r + 100)² = 1,44
(r + 100)²/ r² = 1,44
(r + 100) / r = 1,2
r + 100 = 1,2r
0,2r = 100
r = 500 (м)
ответ: 500 м.