The force applied by the man is 60 N
Explanation:
We can solve this problem by applying Newton's second law, which states that:
(1)
where
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

And there are two forces acting on the child+cart system:
- The forward force of pushing, F
- The force resisting the cart motion, R = 15.0 N
Therefore we can write the net force as

where R is negative since its direction is opposite to the motion
So eq.(1) can be rewritten as

And solving for F,

Learn more about Newton's second law:
brainly.com/question/3820012
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Answer:
Explanation:
We can prove that this is a circular motion if we demonstrate that the norm of the vector is independent of time. Hence we have

but cos^2(3t)+sin^2(3t)=1. Thus we obtain

The norm is independent of t, thus, the particle describes a circular motion
Hope this helps!!
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