# How fast will an object with a mass of 6 kg accelerate if a force of 24 N is constantly applied to it?

Mar 4, 2018

$a = 4 {\text{ m"//"s}}^{2}$

#### Explanation:

Newton's second law tells us that the acceleration experienced by an object is directly proportional to—and in the same direction as—the net force imparted upon it.

This can be written in the form of the the familiar equation: ${\vec{F}}_{\text{net}} = m \vec{a}$

Given mass and net force, we can solve the second law equation for $a$ to find the acceleration which occurs as a result of that force.

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

For $m = 6 \text{kg}$ and $F = 24 \text{N}$:

$a = \left(24 \text{N")/(6"kg}\right)$

$\implies \textcolor{b l u e}{a = 4 {\text{ m"//"s}}^{2}}$