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

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

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- WhomeLv 71 month agoFavorite Answer
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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- NCSLv 71 month ago
weight = GmM / r²

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

solves to M = 4.9e24 kg

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