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

##### 2 Answers
Mar 12, 2018

$a = 0.5 \frac{m}{s} ^ 2$

#### Explanation:

Knowing an object's mass and the net force acting on it, we can find the acceleration using Newton's 2nd Law. The formula that applies Newton's 2nd Law is $F = m \cdot a$.

Solving for $a$ gives us

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

The force on the 16 kg object is 8 N, plugging that data into the last equation

$a = \frac{8 N}{16 k g} = 0.5 \frac{m}{s} ^ 2$

I hope this helps,
Steve

Mar 13, 2018

$0.5 \setminus {\text{m/s}}^{2}$

#### Explanation:

Newton's second law states that

$F = m a$, where $m$ is the mass of the object in kilograms, and $a$ is the acceleration of the object in ${\text{m/s}}^{2}$.

So, we need to solve for acceleration, and we rearrange the equation into:

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

Plugging in the given values, we get

$a = \left(8 \setminus \text{N")/(16 \ "kg}\right)$

$= 0.5 \setminus {\text{m/s}}^{2}$