Question #154166

Calculate the mass of the earth if the radius is approximately 6400km, if g=9.8m/s² and G=6.7×10–11Nm²kg–²


Expert's answer

g=GMR29.8=(6.71011)M(6400000)2M=61024 kgg=\frac{GM}{R^2}\\9.8=\frac{(6.7\cdot10^{-11})M}{(6400000)^2}\\M=6\cdot10^{24}\ kg


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