Question #269166

Question 2 options:

Given the value for the universal gravitational constant, the average value for the acceleration due to gravity at the surface of Earth, and the radius of Earth, Earth’s mass is ____x1024kg. 



1
Expert's answer
2021-11-22T16:20:33-0500

F=GMm/r2g=GM/r2F=GMm/r^2\to g=GM/r^2\to


M=gr2/G=9.8163710002/(6.671011)=5.971024 (kg)M=gr^2/G=9.81\cdot6371000^2/(6.67\cdot10^{-11})=5.97\cdot10^{24}\ (kg) . Answer

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