Answer
Please see the work below.
Work Step by Step
We know that
$\frac{g_2}{g_1}=(\frac{r_1}{r_2})^2$
This simplifies to:
$g_2=(\frac{r_1}{r_2})g_1$
We plug in the known values to obtain:
$g_2=(\frac{1}{1+0.5})^2(2.55)$
$g_2=10\frac{m}{s^2}$