# How fast will an object with a mass of 16 kg accelerate if a force of 24 N is constantly applied to it?

Apr 8, 2018

$a = 1.5 {\text{m"//"s}}^{2}$

#### Explanation:

This looks like a job for Newton's second law:

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

which tells us that the acceleration of an object will be directly proportional to, and in the same direction as, the net force acting upon it. We can use this equation for a constant force.

We wish to find the acceleration of the object, so we solve the above equation for $a$:

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

Using our known values for mass and force:

$a = \left(24 \text{N")/(16"kg}\right)$,

$= \frac{3}{2} {\text{ m"//"s}}^{2}$,

or $1.5 {\text{m"//"s}}^{2}$.