The ratio of F₂ : F₁ is 1 : 2
Newton's gravitation law states that the force of attraction between two objects can be formulated as follows:
F= Gm₁m₂/r²
F = Gravitational Force ( Newton )
G = Gravitation Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )
m = Object's Mass ( kg )
R = Distance Between Objects ( m )
Gravitational force on planet 1 = F₁
Gravitation force on planet 2 = F₂
mass of planet 1 = m₁
mass of planet 2 = m₂ = 2m₁
distance between planet 1 and star = R₁
distance between planet 2 and star = R₂ = 2R₁
ratio of force = F₂ : F₁ = ?
F₂ : F₁ = GMm₁/r₁² : GMm₂/r₂²
F₂ : F₁ = m₁/r₁² : m₂/r₂²
F₂ : F₁ = 2m₁/(2r₁)² : m₁/r₁²
F₂ : F₁ = (2/4) : 1
F₂ : F₁ = (1/2) : 1
F₂ : F₁ = 1 : 2
Therefore, the ratio of gravitation forces F₂ : F₁ is 1 : 2.
To learn more about gravitation, refer: brainly.com/question/4189441
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