Question #160127
The free fall acceleration on the surface of the moon is about one-sixth that on the surface of the Earth. The radius of the moon is about 0.250Re where Re = 6.37 x 10^6 m. Find the ratio of their average densities, pMoon/pEarth.
1
Expert's answer
2021-02-04T14:41:30-0500

Answer

Relationship between radius density and acceleration is given by as

ρg/R\rho\propto g/R

ρmoonρEarth=gR6g(0.250)R=2/3\frac{\rho_{moon}}{\rho_{Earth}}=\frac{gR}{6g(0.250)R}=2/3


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