Đáp án:
\(g' = 6,2784m/{s^2}\)
Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
\dfrac{{g'}}{g} = \dfrac{{G\frac{{mM}}{{R{'^2}}}}}{{G\dfrac{{mM}}{{{R^2}}}}} = \dfrac{{{R^2}}}{{R{'^2}}} = \dfrac{{{R^2}}}{{{{(R + \dfrac{1}{4}R)}^2}}} = \dfrac{{{R^2}}}{{1,5625{R^2}}}\\
\Rightarrow g' = \dfrac{g}{{1,5625}} = \dfrac{{9,81}}{{1,5625}} = 6,2784m/{s^2}
\end{array}\)