# How fast will an object with a mass of 8 kg accelerate if a force of 16 N is constantly applied to it?

Aug 5, 2016

The object has an acceleration of $2 \frac{m}{s} ^ \left(2\right)$

#### Explanation:

To find the acceleration, we have to use Newton's second law of motion equation:

We know the force and mass, both of which have the correct units. All we have to do now is rearrange the equation to solve for the acceleration like this:

$\frac{F}{m} = \frac{\cancel{\text{m}} \times a}{\cancel{m}}$

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

$\left(16 \cancel{\text{kg"xxm/s^(2))/(8cancel"kg}}\right)$
Therefore, the acceleration is $2 \frac{m}{s} ^ \left(2\right)$
By the way, I changed $16 N$ to $16 k g \times \frac{m}{s} ^ \left(2\right)$ because it means the same thing. I wanted you to see how the units would cancel out: