The force applied by the man is 60 N
Explanation:
We can solve this problem by applying Newton's second law, which states that:
[tex]\sum F = ma[/tex] (1)
where
[tex]\sum F[/tex] is the net force acting on the child+cart
m is the mass of the child+cart system
a is their acceleration
In this problem, we have:
m = 30.0 kg is the mass
[tex]a=1.50 m/s^2[/tex]
And there are two forces acting on the child+cart system:
Therefore we can write the net force as
[tex]\sum F = F -R[/tex]
where R is negative since its direction is opposite to the motion
So eq.(1) can be rewritten as
[tex]F-R=ma[/tex]
And solving for F,
[tex]F=ma+R=(30.0)(1.50)+15.0=60 N[/tex]
Learn more about Newton's second law:
brainly.com/question/3820012
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