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

Jan 7, 2016

I found: $9 \frac{m}{{s}^{2}}$

#### 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:

$\Sigma \vec{F} = m \vec{a}$

Considering a linear situation, for example along the $x$ axis, we can lose the vectoriality and write:
$F = m a$
$27 = 3 \cdot a$
Rearranging:
$a = \frac{27}{3} = 9 \frac{m}{{s}^{2}}$