Final answer:
The force that is holding the child on the ride is most nearly 2000 N. Therefore correct option is A
Step-by-step explanation:
The force that is holding the child on the ride can be calculated using the formula for centripetal force:
Fc = mv^2 / r
where Fc is the centripetal force, m is the mass of the child, v is the velocity of the child, and r is the radius of the ride. Plugging in the given values, we get:
Fc = (37 kg)(18 m/s)^2 / 6 m
= 2000 N
Therefore, the force that is holding the child on the ride is closest to option a) 2000 N.