Question

What is the acceleration when you push with 30 N of force on a swing with a
mass of 6 kg?

Answer 1

5 meters per second

Step-by-step explanation:

Answer 2

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

Step-by-step explanation:

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

`a=(F)/(m)`

The net force is 30 Newtons. Let's change the units to make later steps simpler.

1 Newton is equal to 1 kg*m/s², so the net force of 30 Newtons is also equal to 30 kg*m/s².

The mass is 6 kilograms.

`F=30 \ kg*m/s^2\\m= 6\ kg`

Substitute the values into the formula.

`a=(30 \ kg*m/s^2)/(6 \ kg)`

Divide. Note that the kilograms (kg) will cancel each other out when dividing.

`a=(30 \ m/s^2)/(6 )`

`a= 5 \ m/s^2`

The acceleration of the swing is 5 meters per square second.