Question

Find the acceleration of an object that has a mass of 6 kg, if it is acted upon by a net force of 42 N.

Answer 1

7 m/s²

Step-by-step explanation:

The formula for force is:

`f= m*a`

We want to find acceleration, so we must rearrange the formula for
`a`. Divide both sides of the equation by
`m`

`(f)/(m)=(m*a)/(m)`

`(f)/(m)=a`

Acceleration can be found by dividing the force by the mass.

The force is 42 newtons and the mass is 6 kilograms. A newton is equal to 1 kg * m/s², therefore the force is 42 kg* m/s².

`f= 42 kg*m/s^2\\m=6 kg`

Substitute the values into the formula.

`a=(f)/(m)`

`a=(42 kg*m/s^2)/(6kg)`

Divide. When we divide, the kg in the numerator and denominator will cancel each other out.

`a=(42)/(6)m/s^2`

`a= 7 m/s^2`

The acceleration of the object is 7 meters per square seconds.