If you are on a diet is it better ro have a precise or accurate scale?

Accurate. Accuracy is basically how "on point" it is and precision is how many times you can get it "on point"

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2

i believe the answer is a hope it and is correct