What relation connects Earth’s mean density ρ and its surface gravity g, given Earth’s radius R and G?
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What relation connects Earth’s mean density ρ and its surface gravity g, given Earth’s radius R and G?

G1 Physics · Accepted Answer

Step 1: Earth mass is M=(4π/3)R³ρ. Step 2: Substitute into g=GM/R² to obtain g=(4π/3)GρR. Rearranging gives ρ=3g/(4πGR). Final answer: A — ρ=3g/(4πGR).