When the child uses the ferris wheel, this means the child is undergoing circular motion.
A circular motion is type of motion when a body undergoes the rotation along a circular path. This can either be uniform or non-uniform motion.
Given:
Mass of child, m = 40 kg
Radius of the ferris wheel, r = 40 m
Time it takes to complete the circular path = 16 seconds
Here, we need to find the speed of the ferris wheel.
It is the speed in a circular motion.
So,
Speed of the ferris wheel, v = [tex]\frac{distance}{time}[/tex]= [tex]\frac{40 m}{16 s}[/tex]= 2.5 m/s
Now, that we got the speed, so the force that will be exerted in this circular motion at the HIGHEST POINT will be given by the equation:
F = F₁ - F₂ ................(1)
Here,
F₁ = gravitational force on the child
F₂ = the centripetal force.
Gravitational Force, F₁ = mg
Here g is acceleration due to Earth's gravity.
Centripetal force, F₂ = [tex]\frac{mv^{2} }{r}[/tex]
So, we get the equation (1) as:
F = mg - [tex]\frac{mv^{2} }{r}[/tex]
F = 40*9.8 - [tex]\frac{40*(2.5)^{2} }{40}[/tex]
F = 392 - 6.25
F = 385.75 N
Hence, the net force exerted on the child at the highest point is in this circular motion is 385.75 N
To know more about the circular motion, refer: https://brainly.com/question/15183370
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