Mercury has a radius of about 0.38 Earth radius and a mass of only 0.055 Earth mass. Estimate the acceleration due to.gravity on mercury?

Gravitational attraction in newtons
F = G m₁m₂/r²
G = 6.674e-11 m³/kgs²
m₁ and m₂ are the masses of the two objects in kg
r is the distance in meters between their centers
(center of mass)
earth radius 6,371 km = 6.37e6 meters
earth mass M 5.974e24 kg
earth GM = 3.987e14

take a mass of 1 kg on the surface of Mercury
F = G m₁m₂/r²
m1 = 1
Gm2 = 3.987e14 (earth) x 0.055
F = 0.055(3.987e14)/(0.38*6.37e6)² = 3.74 N
that is the weight of a 1 kg mass
W = 3.74 = mg = g
g = 3.74 m/s²