Answer:
1.622m/s²
Step-by-step explanation:
Given the following
mass of 7.36 × 10²² kg
Radius r = 1.74×10^6m
Gravitational constant G = 6.67×10^-11
Acceleration due to gravity us expressed as:
g = GM/r²
Substitute the given values into the formula
g = 6.67×10^-11×7.36 × 10²²/(1.74×10^6)²
g = 49.0912×10¹¹/3.0276×10¹²
g = 16.22×10^{11-12}
g = 16.22×10^-1
g = 1.622m/s²
Hence the acceleration due to gravity on the Moon is 1.622m/s²