Answer:
[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]
Explanation:
Acceleration can be found by dividing the net force by the mass.
[tex]a=\frac{F}{m}[/tex]
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.
[tex]F=30 \ kg*m/s^2\\m= 6\ kg[/tex]
Substitute the values into the formula.
[tex]a=\frac{30 \ kg*m/s^2}{6 \ kg}[/tex]
Divide. Note that the kilograms (kg) will cancel each other out when dividing.
[tex]a=\frac{30 \ m/s^2}{6 }[/tex]
[tex]a= 5 \ m/s^2[/tex]
The acceleration of the swing is 5 meters per square second.
