# How fast will an object with a mass of 24 kg accelerate if a force  45 N is constantly applied to it?

Apr 25, 2016

$\frac{56}{8} \text{metres per second } \left(\frac{m}{s}\right)$

Answer sheet 2 of 2 shows how we end up with $\frac{m}{s} ^ 2$ as units of measurement for acceleration

#### Explanation:

$\text{Force = mass "xx" acceleration}$

$\text{ Force "-> " Newtons}$

$\text{ Mass "-> " Kg}$
$\text{ Acceleration "->" metres per second} \to \frac{m}{s}$
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Write $\text{Force = mass "xx" acceleration as } F = m a$

The basis upon which this equation applies:

The force of 1 Newton acting on a mass of 1 Kg will give that mass an acceleration of 1 metre per second for every second
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$\textcolor{b l u e}{\text{Determine the acceleration}}$

Known: $F = m a$

Divide both sides by m giving

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

But $\frac{m}{m} = 1$ giving

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

So$\text{ "a= 45/24 = 56/8" units are } \frac{m}{{s}^{2}}$