Answer:
\[{{g}_{e}}=10\,m/{{s}^{2}},\,\,{{m}_{p}}=\frac{1}{5}{{m}_{e}},\,\,{{r}_{p}}=\frac{1}{2}{{r}_{e}};\,\,{{g}_{p}}=?\] \[{{g}_{e}}=\frac{GM}{{{R}^{2}}}\Rightarrow \frac{{{g}_{e}}}{{{g}_{p}}}=\frac{{{M}_{e}}}{{{M}_{p}}}\times \frac{R{{p}^{2}}}{{{\operatorname{Re}}^{2}}}=5\times {{\left( \frac{1}{2} \right)}^{2}}=\frac{5}{4}\] \[\Rightarrow {{g}_{p}}=\frac{4}{5}\times {{g}_{e}}=\frac{4}{3}\times 10=8m/{{s}^{2}}\]
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