The acceleration of the system is [tex]0.33 m/s^2[/tex]
Explanation:
In this problem, the kid sitting in the soap box pushes against the stone with a force of 20 N.
According to Newton's third law of motion, when a force is applied on object, the object pushes back with an equal and opposite force: therefore in this case, the kid (and the soap box) also experience a force of 20 N forward.
Then, we can use Newton's second law of motion to find the acceleration of the kid+soap box system:
[tex]F=ma[/tex]
where:
F = 20 N is the net force on the system
m = 50 + 10 = 60 kg is the total mass of the system
a is the acceleration of the system
And solving for a, we find:
[tex]a=\frac{F}{m}=\frac{20}{60}=0.33 m/s^2[/tex]
Learn more about force and acceleration:
brainly.com/question/3820012
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