Question

How fast will an object with a mass of `8 kg` accelerate if a force of `29 N` is constantly applied to it?

Answer 1

The acceleration `~~4"m/s"^2`.

Explanation:

From Newton's second law we have the equation `F=ma`, where "F" is Newtons, or `"kg·m/s"^2`, `m` is mass in kilograms, and `a` is acceleration, usually in `"m/s"^2"`.

Given/Known

`F="29 N"="29 kg·m/s"^2"`
`m="8 kg"`

Unknown

`a`

Solution
Rearrange the equation to isolate `a` and solve.

`F=ma`

`a=F/m`

`a=(29cancel"kg"·"m/s"^2)/(8cancel"kg")=3.625"m/s"^2~~"4 m/s"^2"` (rounded to one significant figure)