two planets have masses in the ratio 3:4 and density in ratio of 2:9 what will be The ratio of acceleration due to gravity at the surface of two planets ?
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g = GM/r²
g= G ρ (4/3πr³ )/r²
g= 4/3π G ρr [ ρ is density ]
Now Given Ratio of Masses = 3 : 4
Ratios of Densities = 2:9
g₁ : g₂ = 4/3 π G ( 2)r₁/ 4/3 π G (9) r₂
= 2r₁/9r₂
g= G ρ (4/3πr³ )/r²
g= 4/3π G ρr [ ρ is density ]
Now Given Ratio of Masses = 3 : 4
Ratios of Densities = 2:9
g₁ : g₂ = 4/3 π G ( 2)r₁/ 4/3 π G (9) r₂
= 2r₁/9r₂
JunaidMirza:
Your answer is incomplete. Find r1/r2 by using the relation => density = mass/volume
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