Answer:
The centripetal force is 663.95 N.
Explanation:
Given that,
Mass of the child, m = 19 kg
Angular velocity of the merry-go-round, [tex]\omega=40\ rev/min=4.18\ rad/s[/tex]
Distance from the center, r = 2 m
We need to find the centripetal force acting on the child. The centripetal force is given by the formula as :
[tex]F=m\omega^2r[/tex]
[tex]F=19\times (4.18)^2\times 2[/tex]
F = 663.95 N
So, the centripetal force is 663.95 N. Hence, this is the required solution.
