Question

your father pushed a 2-kg box across the floor with a net horizontal force of 10 n. what is the acceleration of the box

Answer 1

5 m/s^2

Explanation:

Force = mass x acceleration

f = ma

We have the force of 10 N and the mass of 2 kg.

10 N = 2 kg a

divide by 2 on both sides to isolate the a

a = 5 m/s^2

Answer 2

`\boxed {\boxed {\sf a= 5 \ m/s^2}}`

Explanation:

The formula for force is:

`F=m*a`

If we rearrange the formula for acceleration (a) and divide both sides by m we get:

`(F)/(m)=a`

The net force is 10 Newtons. Let's convert the units to make the problem easier later on.

• 1 Newton=1 kg*m/s²
• The net force of 10 Newtons is equal to 10 kg*m/s²

The mass is 2 kilograms.

`F=10 \ kg*m/s^2\\m= 2 \ kg`

Substitute the values into the formula.

`(10 \ kg*m/s^2)/(2 \ kg) =a`

Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)

`(10 \ m/s^2)/(2)=a`

`5 \ m/s^2=a`

The acceleration of the box is 5 meters per second squared.