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Percepatan gravitasi rata rata di permukaan bumi yaitu g. Untuk tempat pada ketinggian 2R dengan R adalah jari jari bumi, percepatan gravitasi nya sebesar...

a. 1/4 g
b. 1/2 g
c. 2g
d. 4g
e. 8g

1 Jawaban

  • Dik : g1 = g, r1 = R, r2 = 2R
    Dit : g2 = ...?
    Jwb:
    $
    \begin{array}{l}
    {{Dik}{\mathrm{:}}{m}_{1}\mathrm{{=}}{4}{kg}{\mathrm{;}}{m}_{2}\mathrm{{=}}{8}{kg}{\mathrm{;}}{r}\mathrm{{=}}{2}{m}}\\
    {{Dit}{\mathrm{:}}{F}\mathrm{{=}}{\mathrm{...?}}}\\
    {{Jwb}{\mathrm{:}}{F}\mathrm{{=}}{G}\frac{{m}_{1}{m}_{2}}{{r}^{2}}}\\
    {\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\mathrm{{=}}{6}{\mathrm{.}}{6}{7}\mathrm{\times}{\mathrm{10}}^{\mathrm{{-}}{\mathrm{11}}}\mathrm{\times}\frac{\rlap{/}{4}\mathrm{\times}{8}}{}}\\
    {\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\mathrm{{=}}{6}{\mathrm{.}}{6}{7}\mathrm{\times}{8}\mathrm{\times}{\mathrm{10}}^{\mathrm{{-}}{\mathrm{11}}}}\\
    {\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\mathrm{{=}}{5}{3}{\mathrm{.}}{3}{6}\mathrm{\times}{\mathrm{10}}^{\mathrm{{-}}{\mathrm{11}}}}\\
    {\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\mathrm{{=}}{5}{\mathrm{.}}{3}{4}\mathrm{\times}{\mathrm{10}}^{\mathrm{{-}}{\mathrm{10}}}{N}{\mathrm{.}}}
    \end{array}

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