Respuesta :
A person riding a Ferris wheel moves through positions at
(1) the top,
(2) the bottom, and
(3) mid-height. If the wheel rotates at a constant rate, rank these three positions according to
(a)the magnitude of the person’s centripetal acceleration, is same in all cases.
(b) the magnitude of the net centripetal force on the person, is same in all three cases.
(c) the magnitude of the normal force on the person from the bottom,
2<3<1
(d) the weight the person feels, greatest first is at the bottom.
What is the relation between force and acceleration?
- The centripetal acceleration [tex]a_{c}[/tex] exists provided by : a= [tex]v^{2} /r[/tex] , therefore the magnitude depends upon the speed and the radius.
- This represents that in the case of the Ferris wheel the centripetal acceleration includes a constant magnitude so its value exists the same in all cases.
- From Newton's second law the force is provided by F=ma and since a exists constant in magnitude , F is also constant in magnitude. and its value exists the same in all three cases.
- At the top [tex]a_{c}[/tex] stands directed downward so the normal force exist given by [tex]F_{N}[/tex]=[tex]mg[/tex]- [tex]ma_{c}[/tex]
- While at the bottom [tex]a_{c}[/tex] exist directed upward and the normal force is provided by [tex]F_{N}[/tex]=mg +m[tex]a_{c}[/tex]
- Meanwhile,at mid -height [tex]a_{c}[/tex] stands directed horizontally to the inside so it doesn't have a vertical component so its normal force is provided by [tex]F_{N}[/tex]=mg
- The normal force exists greatest at the bottom than at mid-height than at the top.
To learn more about centripetal force , refer :
https://brainly.com/question/898360
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