# How fast will an object with a mass of 8 kg accelerate if a force of 29 N is constantly applied to it?

Dec 26, 2015

The acceleration $\approx 4 {\text{m/s}}^{2}$.

#### Explanation:

From Newton's second law we have the equation $F = m a$, where "F" is Newtons, or ${\text{kg·m/s}}^{2}$, $m$ is mass in kilograms, and $a$ is acceleration, usually in $\text{m/s"^2}$.

Given/Known

$F = \text{29 N"="29 kg·m/s"^2}$
$m = \text{8 kg}$

Unknown

$a$

Solution
Rearrange the equation to isolate $a$ and solve.

$F = m a$

$a = \frac{F}{m}$

a=(29cancel"kg"·"m/s"^2)/(8cancel"kg")=3.625"m/s"^2~~"4 m/s"^2" (rounded to one significant figure)