The acceleration of the box is approximately [tex]1 m/s^2[/tex]
Explanation:
According to Newton's second law of motion, the net force acting on the box is equal to the product between its mass and its acceleration:
[tex]\sum F = ma[/tex]
where
[tex]\sum F[/tex] is the net force
m = 12.0 kg is the mass of the box
a is the acceleration
The net force can be written as
[tex]\sum F = F_a - F_f[/tex]
where
[tex]F_a = 20 N[/tex] is the applied forward force
[tex]F_f=9.0 N[/tex] is the friction force
Combining the two equations,
[tex]F_a-F_f=ma[/tex]
And solving for the acceleration,
[tex]a=\frac{F_a-F_f}{m}=\frac{20-9}{12}=0.9 m/s^2\sim 1 m/s^2[/tex]
Learn more about Newton's second law:
brainly.com/question/3820012
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