# How fast will an object with a mass of 4 kg accelerate if a force of 17 N is constantly applied to it?

Mar 22, 2018

$4.25 m {s}^{-} 2$

#### Explanation:

Given,
Force = 17 N
Mass = 4 kg

we know that force is equal to the froduct of mass and acceleration of object .
$17 N = a \cdot 4$ kg
a = 17N/4kg
$a = 4.25 m {s}^{-} 2$

Mar 22, 2018

4.25 meters per second per second

#### Explanation:

To solve this, we use Newtons 2nd law of motion which states that $F$ = $m \cdot a$.
This means that a force $F$ is required to make a body of mass $m$ accelerate with an acceleration of $a$.

So if a body of $4 k g$ is to be accelerated by a force $17 N$ then its acceleration can be found by putting into the formula $F$ = $m \cdot a$.

Mass is $4 k g$ so $m$ = 4
Force is $17 N$ so $F$ = 17
We get,

$17$ = $4 \cdot a$
This gives us that $a$= $\frac{17}{4}$ or $a$ = $4.25$

Hence, the body accelerates with an acceleration of 4.25 meters per second per second