Question

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

Answer 1

Answer sheet 1 of 2
`56/8 "metres per second " (m/s)`

Answer sheet 2 of 2 shows how we end up with `m/s^2` as units of measurement for acceleration

Explanation:

`"Force = mass "xx" acceleration"`

`" Force "-> " Newtons"`

`" Mass "-> " Kg"`
`" Acceleration "->" metres per second" -> m/s`
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Write `"Force = mass "xx" acceleration as "F=ma`

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
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Determine the acceleration")`

Known: `F=ma`

Divide both sides by m giving

`F/m=m/mxx a`

But `m/m=1` giving

`F/m=a`

So`" "a= 45/24 = 56/8" units are "m/(s^2)`