Question

How fast will an object with a mass of `3 kg` accelerate if a force of `27 N` is constantly applied to it?

Answer 1

I found: `9m/(s^2)`

Explanation:

Force `F` and acceleration `a` are directly related through an entity called "mass" `m` that gives you an idea of the resitance of the body to the application of the force.
So if you push a brick its ok, it moves (=accelerate) but if you push with the same force a ton of bricks they will probably not move.
All of this is described by Newton's second law:

`SigmavecF=mveca`

Considering a linear situation, for example along the `x` axis, we can lose the vectoriality and write:
`F=ma`
And with your data:
`27=3*a`
Rearranging:
`a=27/3=9m/(s^2)`