Answer
The acceleration due to gravity on the Moon is $1.62~m/s^2$
Work Step by Step
Let $g_m$ be the acceleration due to gravity on the Moon. Using the formula:
$g_m = G \frac{m}{r^2}$
$g_m = \frac{(6.67 \times 10^{-11} ~N\cdot m^2/kg^2)(7.35 \times 10^{22}~kg)}{(1.74 \times 10^6~m)^2}$
$g_m = 1.62~m/s^2$
The acceleration due to gravity on the Moon is $1.62~m/s^2$