Estimate the mass of Venus, given that its diameter is 12104km and that a 1.0kg mass weighs 9.0N at its surface?

Question

G = 6.7x10^-11 Nm^2 kg^-2

Answer 1

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  mg' = F

1.0g' = 9.0

     g' = 9.0 m/s²

mg' = GMm/R²

   g' = GM/R²

   M = g'R²/G

M = 9.0(12,104,000/2)²/ 6.7e-11

M ≈ 4.9e24 kg◄

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Answer 2

weight = GmM / r²

9.0 N = 6.7e-11N·m²/kg² * 1.0kg * M / (½*12104e3m)²

solves to M = 4.9e24 kg