Gravitational force acts on all objects in proportion to their masses. Why, then, doesn’t a heavy object fall faster than a light object?

Its becuase weight and mass are different. Even if an object weighs more than another object it might not have more mass than the other object.

i think the answer is a, hope this is right, that would be my best guess.

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