# How fast will an object with a mass of 4 kg accelerate if a force of 23 N is constantly applied to it?

Apr 16, 2016

$6 \frac{m}{s} ^ 2$

#### Explanation:

Using Newton's ${2}^{\text{nd}}$ Law, we can determine the acceleration of the object.

Recall his formula:

$\textcolor{b l u e}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} {F}_{\text{net}} = m a \textcolor{w h i t e}{\frac{a}{a}} |}}}$

where:
${F}_{\text{net}} =$force (Newtons)
$m =$mass (kilograms)
$a =$acceleration (metres per second)

Rearrange the formula for $a$ and substitute your known values into the formula to solve for the acceleration of the object.

${F}_{\text{net}} = m a$

$a = {F}_{\text{net}} / m$

$a = \frac{23 N}{4 k g}$

$a = 5.75$

$a \approx \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} 6 \frac{m}{s} ^ 2 \textcolor{w h i t e}{\frac{a}{a}} |}}}$